Section 1: Whole Numbers TERM 1

Transcription

1 Grade Play! Mathematics Answer Book Section : Whole Numbers TERM Question Value and Place Value: -digit Numbers [Revision]. Write down the value of each underlined digit. Value is how much a digit in a number is worth. a) 00 b) 0 c) 00 d) 0 e) f) 000 g) 0 h). Write down the place value of each underlined digit. Place value is what column (Th, H, T or U) the digit is in. Think: Position a) U b) 0 Th c) H d) T e) H f) T g) Th h) U Question Expanded Form and Short Form. Write the following numbers in expanded form. a) = d) = ( 000) + ( 00) + ( 0) + b) = e) = ( 000) + ( 00) + ( 0) + c) 0 = f) = ( 000) + ( 00) + ( 0) +. Write in short form. a) = b) = 0 c) = d) = 0. Write in short form. a) ( 000) + ( 0) + ( ) + ( 00) = b)* ( 000) + ( 0) + ( 00) + ( 0) = 0 c)** ( ) + ( 00) + ( 000) + ( 00) = 00 Question Numbers Facts. Complete: a) units = units = units = d) hundreds = 00 hundreds = 00 hundreds = 00 b) tens = 0 tens = 0 tens = 0 e) hundreds = 00 hundreds = 00 hundreds = 00 c) tens = 0 tens = 0 tens = 0 f) units = tens = 0 hundreds = 00 Term Section Whole Numbers Copyright Reserved

2 Grade Play! Mathematics Answer Book. Study: In the number there are thousands. In the number there are hundreds. In the number there are tens. In the number there are units. See pp. - Concepts. Complete: a) In there are thousands, hundreds, tens or units. b) In there are thousands, hundreds, tens or units. c) In there are thousands, hundreds, tens or units. d) In there are thousands, hundreds, tens or units.. Add tens to each of the following numbers: Example: : say tens + tens = tens. Answer: a) : b) : 0 c) : d) :. Subtract 00 from each of the following numbers: Remember 00 = H Example: : say hundreds hundreds = hundreds. Answer: a) : b) : 0 c) : d) : Question Number Sequences (Counting in 0s and 00s). Fill in the missing numbers in each: a) ; ; ; ; ; ; 0 ; ; ;. Rule: T or 0 b) ; ; ; ; 0 ; ; ;. Rule: +T or +0 c) ; ; ; ; 0 ; ; ; ;. Rule: T or 0 d) ; ; ; ; 0 ; ; ;. Rule: +H or +00 e) ; ; ; 0 ; ; ; ; ;. Rule: H or 00 Question Rounding off to the nearest 0. Round the following numbers off to the nearest 0. Example: Th H T U In there are tens. To round it off to the nearest ten you must ask: Is closer to tens or is it closer to tens? Answer: 0 ( tens) Think: 0? or 0? See pg Rounding Off Use the (the units digit) to decide. a) 0 b) 0 c) 0 d) 0 e) 0 f) 0 g) 0 h) 0 00 i)* 0 0 j)* 0 00 k)* 00 l)* 00 Term Section Whole Numbers Copyright Reserved

3 Grade Play! Mathematics Answer Book Question Rounding off to the nearest 00 and 000. Round each number off to the nearest 00. Example: In there are hundreds. To round it off to the nearest hundred you must ask: Is closer to hundreds or is it closer to hundreds? Answer: 00 ( hundreds) Think: See pg Rounding Off 00? or 00? Use the (the tens digit) to decide. a) 00 b) 00 c) 00 d)* 000 e) 00 f) 0 00 g) 00 h)* 000. Round each number off to the nearest 000. Example: 000 Use the (the hundreds digit) to decide. is closer to thousand than it is to thousand. a) 000 b) 000 c) d) e) f) 000 g) 000 h) 000 Question Rounding off to the nearest. Use the number line below to help you when rounding off to the nearest. 0 0 Examples: is closer to than it is to 0. Therefore when rounded off to the nearest. is closer to 0 than it is to. Therefore 0 when rounded off to the nearest.. Round each number off to the nearest. a) 0 b) c) d) Question Place Value and Value: -digit Numbers. Study: The number below is said, fifteen thousand, six hundred and forty two.. Write down the value of each underlined digit. TTh Th H T U Value is how much a digit in a number is worth. a) b) c) 00 d) e) f) 0 g) 00 h) i) 000 Term Section Whole Numbers Copyright Reserved

4 Grade Play! Mathematics Answer Book. Write down the place value of each underlined digit. Place value is what column the digit is in. Think: Position a) TTh b) T c) Th d) H e) 0 U f) 0 TTh g) U h) TTh i) 0 H Question -digit numbers in words. Complete: Thousands space a) Twelve thousand, two hundred and seventy three is written. b) Seventeen thousand, five hundred and forty-two is written. c) Fifty two thousand and sixty-five is written 0. d) Twenty three thousand four hundred and eight is written 0. e) Nineteen thousand, six hundred and nineteen is written. f) Forty five thousand and eighty seven is written 0. g) Eighty seven thousand, five hundred and twenty three is written.. Write each of the numbers in words. a) : Thirteen thousand, five hundred and sixty four. b) : Twenty five thousand, eight hundred and seventeen. c) 0: Forty seven thousand and sixty two. d) 00: Ninety-nine thousand and nine. Question 0 Expanded Form. Write the following numbers in expanded form. a) b) c) d) 0 = = = = e) f) g) h) = TTh + Th + H + T + U = TTh + Th + H + T + U 0 = TTh + Th + H + 0T + U = TTh + Th + H + T + U Question Short Form. Write in short form. a) = b) = c) = 0 d) = 0 e) = 0 f) = g) * = 00 h) ** = Term Section Whole Numbers Copyright Reserved

5 Grade Play! Mathematics Answer Book. Write in short form. a) TTh + Th + H + T + U = b) H + Th + TTh + T = 0 c) T + TTH + H + U = 0 d) *TTH + U + U + T= 0 0. Write in short form. a) ( 0 000) + ( 000) + ( 00) + ( 0) + = b) ( 0) + ( 000) + ( ) + ( 0 000) = 0 c) ( 0) + ( ) + ( 0 000) + ( 00) = 0 d)* ( 0) + ( 0 000) + ( 0) + ( ) + ( 000) = = 0 Question Ascending and Descending Order. Write the numbers in ascending order of size and then circle the even number.,,, Ascending means going up :,,,. smallest to biggest.. Write the numbers in descending order of size and then circle the odd number.,,, Descending means going down :,,,. biggest to smallest. Question Comparing Numbers Think: The crocodile mouth eats the bigger number.. Insert the symbol > or < between each pair of numbers. a) < b) 0 > 0 c) < d) < e) 0 0 > 0 00 f) <. Insert the symbol >, < or = between each pair of numbers. a) < b) + 0 < 0 c) + = d) + >. Which is bigger? a) TTh or b) ( 0 000) + ( 00) + ( 000) + b) 0 0 Question Building Numbers. Use the following digits to make the biggest number and the smallest number possible. 0 a) Biggest number: 0 b) Smallest number: 0. True or False? False 0 The smallest number that can be written with five different digits is 0. Term Section Whole Numbers Copyright Reserved

6 Grade Play! Mathematics Answer Book Question Numbers Facts. Complete: a) units = units = units = d) hundreds = 00 hundreds = 00 hundreds = 00. Write in short form. b) tens = 0 tens = 0 tens = 0 e) hundreds = 00 hundreds = 00 hundreds = 00 c) tens = 0 tens = 0 tens = 0 f) thousands = 000 thousands = 000 thousands = 000 a) 0 thousands + units = 0 00 b) 0 thousands + tens = 0 00 c) thousands + tens = 00 d) thousands + hundreds = 00 e) thousands + units = 00 f) thousands + tens = 00. Study: In the number there are ten thousands. In the number there are thousands. In the number there are hundreds. In the number there are tens. In the number there are units. See pg Concept. Complete: a) In there are thousands, hundreds or tens. b) In there are thousands, hundreds or tens. c) In there are thousands, hundreds or tens. d) In there are thousands, hundreds or tens.. Add thousands to each of the following numbers: Examples: : say thousands + thousands = thousands. Answer: : say thousands + thousands = thousands. Answer: a) : b) : 0 c) : d) :. Subtract 000 from each of the following numbers: Remember 000 = Th Examples: : say thousands thousands = thousands. Answer: : say thousands thousands = thousands. Answer: a) : b) : 0 c) 0: 0 d) : Term Section Whole Numbers Copyright Reserved

7 Grade Play! Mathematics Answer Book Question Number Sequences (Counting in 00s and 000s). Fill in the missing numbers in each. a) 0 ; 0 ; 0 ; 0 ; 0 ; 0 ; 00 ; 0. Rule: +00 b) ; ; ; ; ; 0 ; ;. Rule: 00 c) ; ; ; ; 0 ; ;. Rule: +000 d) ; ; ; ; 0 ; ; ;. Rule: 000 e) ; ; ; ; 0 ; ;. Rule: +000 f)* 0 ; 0 ; 0 ; 0 ; 0 ; 0 ; 0. Rule: 000 Question Rounding off to the nearest 0, 00 and 000. Round the following numbers off to the nearest 0. Example: In there are tens. To round it off to the nearest ten you must ask: Is closer to tens or is it closer to tens? Answer: 0 ( tens) a) 0 b) 0 c) 0 d) 0 e) 0 f)* 00. Round the following numbers off to the nearest 00. Example: In there are hundreds. To round it off to the nearest hundred you must ask: Is closer to hundreds or is it closer to hundreds? Answer: 00 ( hundreds) a) 00 b) 00 c) 00 d) 00 e) 00 f) * 000. Round off the following numbers to the nearest 000. Example: In there are thousands. To round it off to the nearest thousand you must ask: Is closer to thousand or is it closer to thousand? Answer: 000 ( thousand) Think: 0? or 0? Use the (the units digit) to decide. Think: 00? or 00? Use the (the tens digit) to decide. Think: 000? or 000? Use the (the hundreds digit) to decide. a) 000 b) 000 c) d) 000 e) 000 f) 000 Term Section Whole Numbers Copyright Reserved

8 Grade Play! Mathematics Answer Book Question Rounding off to the nearest 0, 00 or 000. Complete: Number Rounded off to the nearest a) b) c) There are people that live in Townsville. Round this number to the nearest There are cities worldwide that have HIV programmes. Round this number to the nearest Which numbers below will give 0 when rounded off to the nearest 0? Question Number Lines. Fill in the missing numbers on each number line. a) A 0 C D 0 b) 0 0 A 0 B 0 C D c) A B 00 C D d) A 00 C D 000 Question 0 Place Value and Value: Challenge. In the number : a) the place value of the is thousands (Th). b) the value of the is c) the value of the plus the value of the equals = d) the value of the minus the value of the equals 00 =. Term Section Whole Numbers Copyright Reserved

9 Grade Play! Mathematics Answer Book Section : Number Sentences Question The order in which two numbers can be added or multiplied. Study: Two numbers can be added in any order. + = + Two numbers can be multiplied in any order. =. Fill in the missing numbers. a) = b) + = + c) = d) + = + e) = f) + = + TERM. Write number sentences to show that two numbers can be added in any order. Answers will differ. + = + + = + + = +. Write number sentences to show that two numbers can be multiplied in any order. Answers will differ. = = = Question The order in which two numbers can be subtracted or divided. Complete: a) If you have sweets and eat of the sweets, how many sweets will you have left? = sweets b) If you only have sweets, will you be able to eat sweets? No not enough sweets. c) Is equal to? No as we see from the example above.. Complete: a) If you have sweets and you share them equally between friends, how many sweets will each friend get? = b)* If you only have sweets and you share them equally between friends will your answer be the same as in a? No each friend will only get ½ a sweet. c) Is equal to? No as we see from the example above.. Study: Two numbers cannot be subtracted in any order.. Complete: Two numbers cannot be divided in any order. means is not equal to True False. Complete: True False a) + = + a) = b) = b) = c) = c) = d) = d) + = + Term Section Number Sentences Copyright Reserved

10 Grade Play! Mathematics Answer Book 0 Question Writing number sentences (+,, and ). Study: Sum means add. For example, the sum of and means +. Difference means subtract. For example, the difference between and means. In this section, always big small subtracted from 0 means 0 and not 0.. Write a number sentence for each of the following and then find the answer. *only correct answer a) is added to. + = or + = b) subtract. = * c) The sum of and. + = or + = d) is subtracted from. = * e) The difference between and. = * f) is subtracted from 0. 0 = *. Write a number sentence for each of the following and then find the answer. *only correct answer a) is multiplied by. = or = b) is divided by. = * d) is divided by. = * e) is multiplied by. = or =. Write a number sentence for each word problem and then find its answer. a) There are girls and boys in a school i) How many learners are there altogether? + = ii) How many more girls are there than boys? = b) A Coke costs R. How much will Cokes cost? R = R c) soccer balls cost R0,00. What is the cost per soccer ball? R0 = R0/ ball Question Inverse Operations (+ and ). Study: Addition is the inverse (opposite) of subtraction. + = 0 0 = and 0 =.. Complete: a) + = means = b) + = 0 means 0 = c) = means + = d) 00 = means + = 00. Write one addition number sentence for each subtraction number sentence. a) 0 = + = 0 b) = + = or + = 0 or + =. Write two subtraction number sentences for each addition number sentence. a) + = = b) + = 0 0 = = 0 = In this section, always big small Term Section Number Sentences Copyright Reserved

11 Grade Play! Mathematics Answer Book. Study: o When numbers are added, the answer is called the sum of the numbers. o When a number is subtracted from another number, the answer is called the difference..* Write a number sentence for each word problem and then find the answer. a) The sum of two numbers is. The one number is. What is the other number? + = = The other number is: b) The sum of two numbers is. The one number is. What is the other number? + = = The other number is: c) The difference between two numbers is. The larger number is. What is the other number? = = The other number is: d) The difference between two numbers is. The larger number is. What is the other number? = = The other number is: Question Inverse Operations ( and ). Study: Multiplication is the inverse (opposite) of division. = = and =. Complete: a) = means = b) = means = c) = means = d) 00 = means = 00. Write two multiplication number sentences for each division number sentence. a) = = b) = = = =. Write two division number sentences for each multiplication number sentence. a) = = b) = = = 00 =.* Write a number sentence for each word problem and then find the answer. In this section, always big small a) When two numbers are multiplied the answer is. The one number is. What is the other number? = = The other number is: b) When two numbers are multiplied the answer is. The one number is. What is the other number? = = The other number is: c) When is divided by a certain number, the answer is. What is the number? = = The number is: d)* When is divided by a certain number, the answer is. What is the number? = = The number is: Term Section Number Sentences Copyright Reserved

12 Grade Play! Mathematics Answer Book Question Grouping and adding three numbers. Complete each pair of number sentences. Remember brackets mean do me separately. a) ( + ) + = + = b) ( + ) + = + = c) ( + ) + = 0 + = + ( + ) = + 0 = + ( + ) = + = + ( + ) = + =. True or False? When adding numbers I can group them in any way. True. Fill in the missing numbers. a) ( + ) + = + ( + ) b) ( + ) + = + ( + ) c) + ( + ) = ( + ) + d) + ( + ) = ( + ) +. Add these numbers in the easiest order. a) + + = 0 + = b) + + = 0 + = c) + + = 0 + = d) + + = + 0 = e) + + = 0 + = f) + + = + 0 =. Add these numbers in the easiest order. a) + + = 0 + = b) + + = 0 + = c) + + = 0 + = d) + + = + 0 = e) + + = 0 + = f) + + = + 0 = Question Writing number sentences. Write a number sentence for each of the following and then find the answer. a) What is the sum of, and? + + = 0 + = b) There are men, women and children at a party. How many people are there in total? + + = + 0 = c) Sipho spends R on sweets, R on a toasted sandwich and R on a Coke. How much money does he spend altogether? R + R + R = R0 + R = R Question Additive property of zero. Complete: a) + 0 = b) 0 + = c) 0 = d) 0 + = e) 00 0 = 00 f) + 0 = g) + 0 = h) 0 =. Complete: a) = 0 b) = 0 c) = 0 d) = 0 Term Section Number Sentences Copyright Reserved

13 Grade Play! Mathematics Answer Book. Study: When we add and then subtract the same number, it is the same as adding 0. Example: + = because = 0. Complete, without doing a calculation. a) + = b) + = c) + = d) + = e) + = f) + = g) + = h) + = i) + = Question Grouping and multiplying three numbers. Complete each pair of number sentences. Remember brackets mean do me separately. a) ( ) = = b) ( ) = = c) ( ) = = ( ) = = ( ) = = ( ) = =. True or False? When multiplying numbers I can group them in any way. True. Fill in the missing numbers. a) ( ) = ( ) b) ( ) = ( ) c) ( ) = ( ) d) ( ) = ( ). Multiply these numbers in the easiest order. Hint: Multiplying by 0 is the easiest. a) = 0 = 0 b) = 0 = 0 c) = 0 = 0 d) = 0 = 0 e) = 0 = 0 f) = 0 = 0 Question 0 Grouping and subtracting three numbers. Complete each pair of number sentences. Remember brackets mean do me separately. a) ( ) = = 0 b) ( ) = = 0 c) ( ) = = ( ) = = ( ) = = ( ) = =. Study: When subtracting numbers, the numbers cannot be grouped in any way. ( ) ( ). True or False? a) (0 ) = ( 0) False (Mixed Questions) b) ( + ) + = + ( + ) True See pg. 0 Number Sentences Concept c) numbers can be grouped and subtracted in any order. False d) numbers can be grouped and added in any order. True Term Section Number Sentences Copyright Reserved

14 Grade Play! Mathematics Answer Book Question Grouping and dividing three numbers See pg. 0 Number Sentences: Concept. Complete each pair of number sentences. Remember brackets mean do me separately. a) ( ) = = b) ( ) = = c) ( ) = = ( ) = = ( ) = = ( ) = =. True or False? numbers can be grouped and divided in any order. False. Fill in = or : a) ( ) ( ) b) (0 ) 0 ( ). True or False? (Mixed Questions) a) ( + ) + = + ( + ) True b) When multiplying numbers, I can group them in any way. True c) (0 ) = 0 ( ). False d) Three numbers can be grouped and subtracted in any order. False Question Multiplicative property of. Study: When we multiply a number by, it stays exactly the same. When we divide a number by, it stays exactly the same.. Complete: a) = b) = c) = d) = = = = Ø = Ø = = = p = p = = = =. Complete: A number divided by itself =. Example: = a) = b) = c) = d) = e) = f) = g) = h) = Question Multiply and divide by the same number. Study: = because = When we multiply and then divide by the same number it is the same as multiplying by.. Complete, without doing a calculation. a) = b) = c) = d) = e) = f) 0 0 = g) = 0 h) = i) = Term Section Number Sentences Copyright Reserved

15 Grade Play! Mathematics Answer Book Section : Addition and Subtraction TERM Question Mental Maths: Addition. Complete: a) + = b) + = 0 c) + = d) + = + = + = + = + =. Complete: = 0 Think: T + T = T a) = 0 b) = 0 c) = 0 d) = = = = = 0. Complete: = 0 Think: T + T = T a) = 00 b) = 0 c) = 0 d) = = = = = 0. Complete: = 00 Think: H + H = H a) = 00 b) = 00 c) = = = = 00. Complete: = 00 Think: H + H = H a) = 000 b) = 00 c) = = = = 00 d) = 00 e) = 00 f) = = = = 00. Complete: = 000 Think: Th + Th = Th a) = 000 b) = c) = = = = 000 d) = 000 e) = 000 f) = = = = 000 Question Mental Maths: Addition. Complete the table:. Complete the table: Add 0 T Add 00 H Add 00 H Add 000 TH a) (T + T) (H + H) a) (T + T) (TH + TH) b) (T + T) (H + H) b) (T + T) 0 (TH + TH) c) (T + T) (H + H) *c) (T + T) (TH + TH) 0 *d) (T + T) 00 (H + H) **d) (T + T) 0 (TH + TH) Term Section Addition and Subtraction Copyright Reserved

16 Grade Play! Mathematics Answer Book Question Mental Maths: Subtraction. Complete: a) = b) 0 = c) = d) = = 0 = = =. Complete: 0 0 = 0 Think: T T = T a) 0 0 = 0 b) 0 0 = 0 c) 0 0 = 0 d) 0 0 = 0. Complete: 0 0 = 0 Think: T T = T a) 0 0 = 0 b) 0 0 = 0 c) 0 0 = 0 d) 0 0 = = = = = 0. Complete: = 00 Think: H H = H a) = 00 b) = 00 c) = = = = 00. Complete: = 00 Think: 0H H = H a) = 00 b) = 00 c) = = = = 00. Complete: = 00 Think: H H = H a) = 00 b) = 00 c) = = = = 00. Complete: = 000 Think: Th Th = Th a) = 000 b) = 000 c) = = = = 000. Complete: = 000 Think: 0Th Th = Th a) = 000 b) = 000 c) = = = = 000. Complete: = 000 Think: Th Th = Th a) = b) = 000 c) = = = = 000 Question Mental Maths: Subtraction. Complete the table: Number Subtract 0 T Subtract 00 H Subtract 000 Th a) 0 (T T) 0 (H H) 00 (Th Th) 0 b) (T T) 0 (H H) (Th Th) c) (T T) (H H) (Th Th) Term Section Addition and Subtraction Copyright Reserved

17 Grade Play! Mathematics Answer Book Question The breaking-down method. Complete using the breaking-down method. Always add the unit digits first. a) + Th H T U b) + TTh Th H T U c) + = 0 + = + = d) + = = = 0 e) + = = = 00 f) + = = = 000 g) + = 00 + = + = 0 h) + = 0. Complete using the breaking-down method. Always subtract the unit digits first. a) Th H T U b) Th H T U c) = = = d) = = = 0 e) 0 = = = 00 f)* = = = 000 g)* = = = Question The vertical-column method: Addition. Complete using the vertical-column method. Example Example Example Always add the unit digits first. a) + b) + c) + d) + = = = =. Complete using the vertical-column method. Example Example Example a) + b) + c) + d) + = = = 0 = e) + f) + g) + h) + = = = = Term Section Addition and Subtraction Copyright Reserved

18 Grade Play! Mathematics Answer Book. Complete using the vertical-column method. Example Example Example a) + b) + c) + d) + = 0 = 0 = 00 = 0 e) + f) + g) + h) + = = = 0 = Question The vertical-column method: Subtraction. Complete: Always subtract the unit digits first. Example Example Example a) b) c) d) = = = = e) f) g) h) = = = =. Complete: Example Example Example a) b) c) d) = = = = e) f) g) h) = = = =. Complete: Example Example Example 0 a) b) c) d) = = = = e) f) g) h) = = = = Term Section Addition and Subtraction Copyright Reserved

19 Grade Play! Mathematics Answer Book Question Mixed Questions. Complete: Use vertical-column method a) + = 0 b) = 0 c) = d) 0 = e) + = 0 f) + = 0 Question Real-life Problems. Complete. a) I have R and spend R. How much money do I have left? R R = R b) An airline pilot travelled km and km during flights. How far did he fly altogether? + = 0km c) Mr Zando s company must chop down trees in a plantation. trees have already been chopped down. How many more trees does Mr Zando s company still have to chop down? = trees still to be chopped. d) Computer A costs R and Computer B costs R. Calculate the difference between the prices of the two models. In this section, always big small. R R = R e)* Sally spends R 0 of her savings in March and R 0 of her savings in April. If she had R0 0 to start with, how much money does she have left? Money spent = R0 + R0 = R0 Money left = R00 R0 = R0 Question 0 Inverse Operations. Write one addition number sentence for each subtraction number sentence. a) = + = b) = + =. Write two subtraction number sentences for each addition number sentence. a) 0 + = = 0 b) 0 + = = 0 0 = 0 =. Use inverse operations to calculate the missing numbers in each. a) + = [ = ] b) 0 = [ + = 0] c) + = [ = ] d) 0 = [0 = ] Subtraction: always big small = 0 [0 0 = 0] 0 0 = 0 [0 + 0 = 0] = 0 [0 0 = 0] 0 0 = 0 [0 0 = 0] + 0 = 0 [0 0 = ] 0 0 = 0 [0 + 0 = 0] = 0 [0 0 = 0] 0 0 = 0 [0 0 = 0] = 0 [0 0 = 0] 0 = [0 + = ] + 0 = [ = ] 0 = [ = 0].* Use inverse operations to calculate the missing numbers in each. Use vertical-column method a) + = b) + = c) = = = + = Term Section Addition and Subtraction Copyright Reserved

20 Grade Play! Mathematics Answer Book 0 Question Sum and Difference. Study: o When numbers are added, the answer is called the sum of the numbers. o When a number is subtracted from another number, the answer is called the difference.. Write a number sentence for each word problem and then find the answer. a) The sum of two numbers is. The one number is. What is the other number? + = = The other number is: b) The sum of two numbers is. The one number is. What is the other number? + = = The other number is: c) The difference between two numbers is. The larger number is. What is the other number? = = The other number is: d) The difference between two numbers is. The larger number is 0. What is the other number? 0 = 0 = The other number: Question Adding three numbers. Add these numbers in the easiest order. a) + + = 0 + = b) + + = 0 + = c) + + = 0 + = d) + + = + 0 = e) + + = 0 + = f) + + = + 0 = 0. Complete. a) b) + + = c) + + = + d) + + = 0 e) + + =. There are men, women and children at a concert. a) How many people in total attended the concert? + + = people b) How many more women than men attended? = more women attended. An airline pilot travelled km, km and km during flights. How far did he fly altogether? + + = 0 km. A businessman has expenses of R 00, R 0 and R0 during January, February and March. How much did he spend altogether over the months? R 00 + R 0 + R0 = R 0.* A fruit company has 0 trays of mangos to sell over the weekend. On Saturday trays were sold and on Sunday 0 trays were sold. How many trays were not sold? Trays sold = + 0 = Trays not sold = 0 = Term Section Addition and Subtraction Copyright Reserved

21 Grade Play! Mathematics Answer Book Section : Numeric Patterns Question Multiplication Flow Diagrams. Complete the following flow diagrams. a) b) TERM 0 c) d) Question Division Flow Diagrams. Complete the following flow diagrams. a) b) 0 c) d) Question Inverse Operations. Study: Multiplication is the inverse (opposite) of division. = = and =. Fill in the missing numbers a) = means = e) = because = b) = 0 means 0 = f) = because = c) = means = g) = because = d) = means = h) = because = Term Section Numeric Patterns Copyright Reserved

22 Grade Play! Mathematics Answer Book Question Missing Inputs ( and ). Complete the following flow diagrams. To calculate the inputs, do the inverse of the given rule. a) b) c) d) 0 0.* Complete the following flow diagrams. a) b) Question Missing Rules ( and ). Fill in the missing rule in each flow diagram. a) b) c) d) Term Section Numeric Patterns Copyright Reserved

23 Grade Play! Mathematics Answer Book Question Splitting numbers to make multiplication easier. Complete the flow diagrams below. a) b) True or False? a) means the same as. True. Complete the flow diagrams below. a) b) 0 0. True or False? a) means the same as. True b) means the same as. True Question Multiplying by Multiples of 0. Complete the flow diagrams below. What do you notice? 0 = 0 and 0 = 0 a) 0 b) c) d) Term Section Numeric Patterns Copyright Reserved

24 Grade Play! Mathematics Answer Book. Complete: = therefore 0 = 0 Think: 0 = 0 a) = 0 = 0 b) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 c) = 0 = 0 d) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0. Fill in the missing numbers. a) 0 = 0 b) 0 = 0 c) 0 = 0 d) 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 00 0 = 0 0 = 0 Question Flow Diagrams with Mixed Operations: Part. Complete the flow diagrams below. a) b) + 0 c) d) + 0 e)* f)* Term Section Numeric Patterns Copyright Reserved

25 Grade Play! Mathematics Answer Book Question Flow Diagrams with Mixed Operations: Part. Fill in the missing inputs in each flow diagram. a) b) c) d)* ** Fill in the missing part of each rule. a) b) + 0 c) d) + Question 0 Tables (Missing Outputs). Use the rules to complete each table. a) Input Output b) Input + Output Input Input Output 0 Output c) Input Output d) Input Output Input Input Output Output 0 Term Section Numeric Patterns Copyright Reserved

26 Grade Play! Mathematics Answer Book e) Input Output f) Input + Output Input Input Output Output 0 Question Identifying Rules. Fill in the missing rule for each table. a) Input Output b) Input + Output Input Input Output Output 0 Each output is one more than in a). c) Input Output d) Input Output Input Input Output 0 0 Output Each output is one less than in a). e) Input Output f) Input + Output Input Input Output 0 Output 0 Each output is two more than in a). Question Number Patterns. Complete each number pattern. Adding the same number. a) ; ; ; ;. + b) ; ; ; ;. + c) ; ; ; ;. + d) ; ; ; ;. + e) ; ; ; ; 0. + f) ; ; ; ;. +. Complete each number pattern. Subtracting the same number. a) ; ; ; ;. - b) ; ; ; 0 ;. - c) ; ; ; ;. - d) ; ; ; ;. - e) ; ; ; ;. - f) 0 ; ; ; ;. -. Complete each number pattern. Multiplying by or doubling. a) ; ; ; ;. b) ; ; ; ;. c) ; 0 ; 0 ; 0 ; 0. d) ; ; ; ;. e)* ; ; ; ;. f)* ; ; ; ;.. Complete each number pattern. Dividing by or halving. a) ; ; ; ;. b) ; ; ; ;. c) 0 ; 0 ; 0 ; 0 ;. d) ; ; ; ;. e)* ; ; ; ;. f)* ; ; ; ;. Term Section Numeric Patterns Copyright Reserved

27 Grade Play! Mathematics Answer Book Assessment. Circle the letter of the correct answer.. What is the value of the underlined digit in? A B H C 00 D 0 TERM is equal to A 0 B 00 C 000 D 0 0. The missing number in = is: A B C D. In the number, which digit is in the tens place value column? A 0 B C D. What is the missing number in the sequence? ; ; ; ; ;. A 0 B C D. 00 = is equal to: Say: H H = H answer is A B C 0 D. Complete: a) Which numbers below will give 00 when rounded off to the nearest 00? 0 0 b) people attended the Soccer World Cup final. Round this number off to the nearest 000 people. 000 people. What is the largest -digit even number?. Complete each number sequence. a) ; 0 ; ; ; ; ; 0. - b) ; ; ; ; ;.. True or False? a) + 0 = 0 False - b) ( ) = ( ) False c) = True d) = 0 means 0 0 = = 0 False. Complete: a) = b) = c) = d) = e) = f) 0 = 0 g) 0 = 00 h) 0 = 0. Complete. a) + = 0 b) =. Bonga has R in her bank account at the beginning of June and R at the end of June. How much money did she spend during June? R R = R. The difference between two numbers is. The larger number is 00. What is the other number? 00 = 00 = The other number is: 0. Consider the number. What is the difference between the value of the and the value of the? = 0 Term For more assessments, visit Copyright Reserved

28 Grade Play! Mathematics Answer Book Section : Multiplication and Division Question Speed Exercises ( ) TERM. Complete. Exercise must be done without counting a) = b) = c) = d) = = = = = = = = = 0 = = = = = = = = = = = = Question, 0 and 0. Complete: = and 0 = 0 a) = b) = c) 0 = 0 d) 0 = 0 e) 0 = 0 f) 0 = 0 g) = h) 0 = 0. Complete: Any number multiplied by 0 becomes 0 times bigger: 0 = 0 a) 0 = 0 b) 0 = 0 c) 0 = 0 d) 0 = 0 e) 0 = 0 f) 0 = 00. Complete: a) + 0 = but 0 = 0 b) + 0 = but 0 = 0. True or False? a) + 0 = 0 False b) When we multiply by 0 it means that we add zero. False (This is NB!) Question Multiples. Study:,,,, are called multiples of. Multiples think multiply : x =, x =, x =, x = etc. Complete each table. a) b) c) 0 0 Multiples of Multiples of Multiples of. Complete: a) Write down the first multiples of.,,,, 0. b) Write down the first multiples of.,,,.. Complete: a) What is the third multiple of? ( ) b) What is the 0 th multiple of? 0 (0 ) Term Section Multiplication and Division Copyright Reserved

29 Grade Play! Mathematics Answer Book Question Factors. Study: x = x = x = factor factor factor factor factor factor,,,,, are the factors of. Always write factors in pairs, from the outside in.. Complete: a) The factors of are,,,,,. b) The factors of are,,,,,. c) The factors of 0 are,,,, 0, 0. d)* The factors of are,,,,,,,. Always start with and the number itself and then fill in the rest of the factor partners from the outside in.. Which numbers are factors of: a)? ; ; ; 0 ; ; b) 0? 0 ; ; 0 ; 0 ; ;. Write down the missing factor in each of the following sentences. a) = b) = c) = d) 0 = = = = 0 = = = 0 = 0 =. True or False? a),,, 0 are all the factors of 0. True b) is a factor of. True - = c) is a factor of. False - it is a multiple d) is a factor of all even numbers. True Question Mental Maths. Study: a) = therefore 0 = 0 Think: 0 = 0 b) = therefore 0 = 0 Think: 0 = 0. Complete: a) = b) = c) = 0 d) = 0 = 0 0 = 0 0 = 00 0 = 0 0 = 0 0 = 0 0 = 00 0 = 0 e) = f) = g) = h) = 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 Term Section Multiplication and Division Copyright Reserved

30 Grade Play! Mathematics Answer Book 0 Question Multiplication (-digit by -digit). Complete. Use the breaking-up method and the short method. Breaking-up Method. Complete. Short Method (0 + ) (T + U) a) = ( ) ( ) b) = ( ) (T + U) c) = + 0 ( 0) d) = e) = Breaking-up Method. Complete. Short Method (0 + ) (T + U) a) = ( ) ( ) b) = ( ) (T + U) c) = + 0 ( 0) d) = 0 e) = 0 Breaking-up Method Short Method (0 + ) (T + U) a) = ( ) ( ) b) = ( ) (T + U) c) = + 0 ( 0) d) = e) = 0 Question Problem Solving. There are crayons in a box. Calculate how many there are in of the same boxes. = crayons. Calculate how many trees there are in rows with trees in each row. = 00 trees. A farmer tied bunches of carrots with carrots in each bunch. How many carrots did he tie in bunches? = 0 carrots T U T U T U Always multiply the unit digits first.. A grocer sells a fruit hamper for R. If hampers are sold, how much money does the grocer make? R = R0 *. The distance from Malusi s home to school is km. If he cycles to school and back home every day, how many kilometres does he cycle in days? km = 0km km Home Return trip = km School km Always multiply the unit digits first. Always multiply the unit digits first. Term Section Multiplication and Division Copyright Reserved

31 Grade Play! Mathematics Answer Book Question Mental Maths. Complete: 0 = 0 and 0 0 = 00 a) 0 = 0 b) 0 = 0 c) 0 = 0 d) 0 = = = = = 00. Complete: 0 0 = 00 Think: 0 0 = 00 a) 0 0 = 00 b) 0 0 = 00 c) 0 0 = 00 d) 0 0 = = = = = 00. Complete: 0 = 0 Think: 0 = 0 a) 0 = 0 b) 0 = 0 c) 0 = 0 d)* 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 00 0 = 0. Complete: 0 0 = 00 Think: 0 0 = 00 a) 0 0 = 00 b) 0 0 = 000 c) 0 0 = 00 d) 0 0 = = = = = = = = = 00 Question Multiplication (-digit by -digit). Complete. Use the breaking-up method and the short method. Breaking-up Method Short Method (0 + ) (T + U) a) = 0 Easy Questions (0 + ) (T + U) b) = [ ] c) = 0 [ 0] d) = 0 [0 ] e) = [0 0] Always multiply the unit digits first.. A bag of chicken feed costs R. A farmer buys bags. How much did all the bags of chicken feed cost him? R = R00 Term Section Multiplication and Division Copyright Reserved

32 Grade Play! Mathematics Answer Book. Complete. Medium Questions Breaking-up Method Short Method (0 + ) (T + U) a) = (0 + ) (T + U) b) = 0 [ ] c) = 00 [ 0] d) = 0 [0 ] 0 e) = + 00 [0 0] 0 Always multiply the unit digits first.. Complete by using the short method. Hard Questions a) = b) = c) = d) = e) = f) = 0 g) = h) = i) = j) = k) = l) = Question 0 Problem Solving (Price per item) Use the short method of multiplication.. Study: A rate involving price tells us what item will cost. At the grocer the oranges are marked as follows: R/orange This means that it costs R for ONE orange. a) How much will oranges cost? b) How much will 0 oranges cost? Answer: R = R0 Answer: R 0 = R0. Complete the table. Cost for Price items items 0 items items a) R / biscuit R0 R0 R0 R b) R / crayon R R R0 R0 c) R / notebook R0 R00 R0 R *d) R / shirt R R R0 R. Consider the items in the table above. a) How much will biscuits and 0 crayons cost altogether? R0 + R0 = R00 b) How much will notebooks and shirts cost altogether? R0 + R = R c) How much money is saved if the t-shirts are SPECIAL OFFER!!! shirts for only R. We say: R per ONE orange. bought on the special offer? Normal price: R = R Savings: R R = R Term Section Multiplication and Division Copyright Reserved

33 Grade Play! Mathematics Answer Book Question Speed Exercises ( ). Complete: Hint: Check your answers with multiplication. a) = b) 0 = c) 0 = d) = = 0 = 0 = = = = 0 = 0 = 0 = = 0 0 = = = = 0 0 = = = = 0 0 = = Question Division (-digit by -digit). Complete: a) 0 = 0 b) 0 = 0 c) 0 = 0 d) 0 = 0. Complete: 0 = 0 Think T = T a) 0 = 0 b) 0 = 0 c) 0 = 0 d) 0 = 0. Complete. Use the breaking-up method and the short method. Breaking-up Method Short Method a) = b) = 0 = 0 T = T c) = d) = and = U = U means = e) = f) =. Complete. Breaking-up Method Short Method a) = b) = 0 = 0 T = T r T c) = d) = and = U = U means = e) = f) =. Complete. Breaking-up Method Short Method a) = b) 0 = 0 = 0 T = T r T c) = d) 0 = and = U = U means = e) = f) = Term Section Multiplication and Division Copyright Reserved

34 Grade Play! Mathematics Answer Book. Complete. Breaking-up Method and means Short Method a) = b) = 0 = 0 = = T = T r T U = U c) e) = = d) f) = = Question Problem Solving ( ). A farmer packs melons into a box. How many boxes are needed to pack melons? = boxes. A car can transport people. How many cars are needed to transport people? = cars. If 0 sweets are shared equally amongst children. Each child will get sweets. 0 =. Thandi has 0 apples. She wants to pack them into packets with in each to sell at the market. How many packets will she have? 0 = packets. Question Calculating the Price per Item (Rate). Study: To work out a rate involving price we always want to know what item will cost. Example: If it costs R for pens it means that it costs R for pen. This rate is calculated as follows: R pens = R/pen Remember to say per ONE pen.. What is the price of each of the following, in Rand per item? (What will ONE item cost?) a) R0 for avocados. (R0 ) R / avocado b) R0 for biscuits. (R0 ) R / biscuit c) R for crayons. (R ) R / crayon d) R for notebooks. (R ) R /notebook e) R for coffees. (R ) R / coffee f) R for juices. (R ) R / juice. Three pies cost R. Sally says that each pie costs R. Is she correct? No. R = R/ pie Question Inverse Operations. Study: Multiplication is the inverse (opposite) of division. = because = or = Remember, two numbers can be multiplied in any order.. Fill in the missing numbers. a) = because = or = b) = because = or = c) = because = d) = because = e) = because = f) = because = g) = because = h) = because = The order in which the numbers are multiplied does not affect the answer. Term Section Multiplication and Division Copyright Reserved

35 Grade Play! Mathematics Answer Book. Write one multiplication number sentence for each division number sentence. a) = = b) = = c) = = d) 0 = = 0 e) = = f) = =. Write two division number sentences for each multiplication number sentence. In this section: always big small a) = = = b) = = = Question Division with Remainders (Mental Maths) c) = = =. Study: If one number doesn t divide into another an exact number of times, we get a remainder. Examples: a) = remainder, because ( ) + =. b) = remainder, because ( ) + =. or ( ) + = or ( ) + =. Fill in the missing numbers.. Complete by mental calculation: a) = because = a) = = r because ( ) + = = r = r because ( ) + = = r b) = because = or b) 0 = = r because ( ) + = = r 0 = r because ( ) + = 0 = r c) = because = or c) = = r because ( ) + = = r = r because ( ) + = = r *d) = because = or d) = = r because ( ) + = = r = r because ( ) + = 0 = r Question Division with Remainders. Complete. Use the breaking-up method and the short method. Breaking-up Method Short Method a) = r T = T r T 0 = 0 r = r U = U r U b) = r = r c) 0 = r. If sweets are shared equally amongst children, how many sweets will each children get? Will there be any sweets left over? = r Each child will get sweets. left sweet will be left over. 0 Term Section Multiplication and Division Copyright Reserved

36 Grade Play! Mathematics Answer Book Question Division (-digit by -digit): Part. Complete. 00 = 00 Think H = H a) 00 = 00 b) 00 = 00 c) 00 = 00 d) 00 = 00. Complete. Use the breaking-up method and the short method. Example : 0 Example : a) 0 = 0 Breaking-up Method 00 = 00 = 0 = 0 Breaking-up Method 00 = 00 = = 0 b) c) = 0 = 0 Short Method Short Method d) 0 = e) = 0 Question Division (-digit by -digit): Part. Complete. 0 = 0 Think T = T a) 0 = 0 b) 0 = 0 c) 0 = 0 d) 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 00 = 0 0 = 0 0 = 0 0 = 0. Complete. Use the breaking-up method and the short method. Example : Example : a) = Breaking-up Method 0 = 0 = = Breaking-up Method 0 = 0 = = b) c) = = Short Method Short Method d) = e) =. Complete. Example : Example : a) = b) = Breaking-up Method 0 = 0 = = Breaking-up Method 0 = 0 = = c) e) = = d) f) = = Short Method Short Method g) = h) = i) = j) 0 = Term Section Multiplication and Division Copyright Reserved

37 Grade Play! Mathematics Answer Book Question 0 Division (-digit by -digit): Part. Complete. Use the breaking-up method and the short method. Example : 0 Example : 0 Breaking-up Method 00 = 00 0 = 0 0 = 0 Short Method 0 0 Breaking-up Method 00 = 00 0 = 0 0 = 0 Short Method 0 0 a) 0 = 0 b) c) d) e) 0 = 0 0 = 0 0 = 0 0 = 0. Complete. Example : Example : Breaking-up Method 00 = 00 0 = 0 = = Short Method Breaking-up Method 00 = 00 0 = 0 = = Short Method a) = b) = c) = d) = e) = Question Division with remainders. Complete. Use the short method of division. a) = r b) = r c) 0 = r d) = r e) 0 = r f) = r g) = r h) = r i) = 0 r j) = r k) 0 = r l) 0 = r Question Problem Solving. 0 chairs must be placed in rows of equal length. How many chairs must be placed per row? 0 chairs rows = 0 chairs per row. The mass of boxes is 0 kg. Calculate the mass per box. 0kg boxes = 0kg/box. Apples must be packed into bags holding apples each. How many bags are needed to pack apples? = bags. Three t-shirts cost R. Adam says that each t-shirt costs R. Is he correct? No. R t-shirts = R/ t-shirt. Joshua must cycle km this week, from Monday to Friday. How far must he cycle each day if he plans to cycle the same distance every day? km days = km/day Term Section Multiplication and Division Copyright Reserved

38 Grade Play! Mathematics Answer Book Section : Time Question The Basics (-hour clocks). Complete for any clock or watch: a) The short hand is called the hour hand. b) The long hand is called the minute hand. c) There are 0 seconds in minute. d) There are 0 minutes in hour. e) There are hours in day.. As the minute hand moves around the clock, we tell the time as follows: 0 Minute hand Hour hand TERM On an analogue clock, hands point to numbers to show the time. minutes past the hour or minutes to the next hour On the hour minutes past the hour To the next hour 0 minutes past the hour or 0 minutes to the next hour minutes past the hour or minutes to the next hour Quarter to 0 minutes past the hour or 0 minutes to the next hour 0 0 minutes past the hour minutes past the hour Quarter past 0 minutes past the hour Past the hour minutes past the hour or minutes to the next hour minutes past the hour 0 minutes or half past the hour. When the minute-hand is on: a) the it shows minutes past the hour. b) the it shows minutes past the hour. c) the it shows 0 minutes past the hour. d) the it shows minutes past the hour. e) the it shows 0 minutes past the hour. f) the it shows 0 minutes past the hour.. When the minute-hand is on: a) the it shows minutes past the hour or minutes before the next hour. b) the it shows minutes past the hour or minutes before the next hour. c) the it shows 0 minutes past the hour or 0 minutes before the next hour. d) the 0 it shows 0 minutes past the hour or 0 minutes before the next hour. e) the it shows minutes past the hour or minutes before the next hour. Term Section Time Copyright Reserved

39 Grade Play! Mathematics Answer Book Question Before Midday Times (a.m.). Study: In -hour time, we use a.m. to show times between midnight and midday. o clock midnight You are in bed sleeping You are eating breakfast You are at school o clock midday Lunch time It is very early morning. It is still dark outside. a.m. a.m. a.m. a.m. a.m. a.m. p.m.. Write the best time from the blocks for each activity. a) Midnight it is dark outside. a.m. b) It is very early morning and you are still sleeping. a.m. c) You are waking up. a.m. d) Breakfast time. a.m. e) First break at school. 0 a.m. a.m. a.m. a.m. a.m. 0 a.m. Question After Midday Times (p.m.). Study: In -hour time, we use p.m. to show times between midday and midnight. o clock midday Lunch time You are at school or doing homework at home Dinner time You are in bed sleeping o clock midnight p.m. p.m. p.m. p.m. 0 p.m. p.m. a.m.. Write the correct time from the blocks for each activity. a) Midday the sun is shining. p.m. b) Homework time. p.m. c) Dinner time. p.m. d) You are sleeping. p.m. p.m. p.m. p.m. p.m.. Complete: a) What time of day is a.m.? o clock midnight (the start of the new day) b) What time of day is p.m.? o clock noon (the start of the afternoon) Term Section Time Copyright Reserved

40 Grade Play! Mathematics Answer Book 0 Question -hour Time (Past the hour). When writing time, we write the hour first and then how many minutes past the hour it is. Morning times a.m. Afternoon/ evening times p.m.. Write down the times shown on each of the following clocks in -hour time. a) morning b) afternoon c) morning Quarter past 0.00 a.m..0 pm 0. am d) evening e) morning f) afternoon pm.0 am.0 pm Question -hour Time (To the next hour). Write down the times shown on each of the following clocks in -hour time. Remember: We always write how many minutes past the hour it is. a) afternoon b) afternoon c) evening The hour hand is exactly in between the and the. But it is half past and not.0 pm..0 p.m.. pm 0.0 pm d) morning e) morning f) evening The hour hand looks like it is pointing at the but it is not yet o clock but rather min past am.0 am. pm Term Section Time Copyright Reserved

41 Grade Play! Mathematics Answer Book Question -hour Time: Mixed Questions. Write down the times shown on each of the following clocks in -hour time. a) morning b) night c) afternoon am 0.0 pm.0 pm d) afternoon e) evening f) morning pm.0 pm.0 am g) night h) afternoon i) afternoon pm. pm. pm j) morning k) afternoon l) evening am.0 pm.0 pm. Complete: a) Which clock shows ten thirty at night? Clock b b) Which clock shows quarter past three in the afternoon? Clock h c) Which clock shows twenty to seven in the morning? Clock f d) Which clock shows quarter to ten in the morning? Clock j Term Section Time Copyright Reserved

42 Grade Play! Mathematics Answer Book Question Converting -hour time to -hour time: Part. Study: a) Morning is the period of time between midnight and noon. (especially between sunrise and noon.) -h Time a.m. a.m. a.m. a.m. a.m. a.m. a.m. a.m. a.m. a.m. 0 a.m. a.m. -h Time 00:00 0:00 0:00 0:00 0:00 0:00 0:00 0:00 0:00 0:00 0:00 :00 midnight sunrise Depending on the season. b) In -hour time, times after noon are numbered from :00 onwards. Afternoon is the period from midday (noon) until evening. Night-time typically begins at p.m. -h Time p.m. p.m. p.m. p.m. p.m. p.m. p.m. p.m. p.m. p.m. 0 p.m. p.m. -h Time :00 :00 :00 :00 :00 :00 :00 :00 0:00 :00 :00 :00 noon sunset Depending on the season.. Which times below are morning times? 0:00 :00 0:00 :00 0:00 :00 :00. Which times below are afternoon or evening times? :00 0:00 0:00 0:00 0:00 :00 :00 If less than hours of the day have past, it is morning. If more than hours of the day have past, it is afternoon or evening.. In -hour time: a) a.m. times the hour stays the same: a.m. 0:00 b) p.m. times think p for plus hours : p.m. :00 (h + h = h) Exceptions a.m. 00:00 p.m. :00. Write each time in -hour time. This is also known as international time. a) a.m. 0:00 b) a.m. 0:00 c) a.m. 0:00 p.m. :00 + = p.m. :00 p.m. :00 d) a.m. 0:00 e) a.m. 0:00 f) a.m. 0:00 p.m. :00 p.m. :00 p.m. :00 g) 0 a.m. 0:00 h) a.m. 0:00 i) a.m. :00 0 p.m. :00 p.m. :00 p.m. :00.* In -hour time, a.m. is written 00:00 and p.m. is written :00. 0 hours have passed in the day. h of the day have past. It is the middle of the day or midday.. Match the correct time from the blocks to each time below. a) a.m. b) :00 c) p.m. d) midnight e) p.m. f) p.m. 0:00 p.m. :00 00:00 :00 midday :00 :00 midday 0:00 p.m. 00:00. Match the correct time from the blocks to each time below. a) a.m. b) :00 c) p.m. d) 0:00 e) p.m. f) a.m. 0:00 p.m. :00 0a.m. :00 00:00 0a.m. 00:00 p.m. :00 :00 0:00 Term Section Time Copyright Reserved

43 Grade Play! Mathematics Answer Book Question Converting -hour time to -hour time: Part. Write each time in -hour time. a).0 a.m. 0:0 b). a.m. 0: c).0 a.m. 0:0.0 p.m. :0 + =. p.m. :.0 p.m. 0:0 d). a.m. 0: e).0 a.m. 0:0 f) 0. a.m. 0:. p.m. :.0 p.m. :0 0. p.m. : g). a.m. 0: h).0 a.m. :0 i).0 a.m. 0:0. p.m. :.0 p.m. :0.0 p.m. :0. Write each time in -hour time. [Mixed Questions] a).0 a.m. 0:0 b). a.m. 0: c).0 p.m. 0:0 d). p.m. : e).0 a.m. 0:0 f) 0.0 p.m. :0 g). a.m. 0: h).0 p.m. :0 i). a.m. 0: j). p.m. : k).0 a.m. 0:0 l) 0. p.m. :. Match the correct time from the blocks for each time below. a) :0 b).0 p.m. c). d).0 a.m. e). p.m. f) :0.0a.m. :0 :a.m 0:0 :.0p.m :0 0:0.0 p.m..0 a.m. : : a.m. Question Time in Words *Complete Question 0 first. Write the following times in -h time and then in words. Say whether it is light or dark outside. a) 0:0.0 a.m. Half past eight in the morning. It is light. b) :. p.m. Quarter ( minutes) past two in the afternoon. It is light. c) :0.0 a.m. Twenty past eleven in the morning. It is light. d) :0.0 p.m. Half past nine at night. It is dark. e) 0:0.0 a.m. Ten past five in the morning. (before sunrise) It is still dark. f) :. p.m. Quarter ( minutes) past seven in the evening. It is dark. g) 0:. a.m. Quarter ( minutes) to four in the morning. It is dark. h) 0:0.0 a.m. Ten to ten in the morning. It is light. Before sunrise. Term Section Time Copyright Reserved

44 Grade Play! Mathematics Answer Book Question 0 Converting -hour time to -hour time. Write each time in -hour time. For -hour times between midnight and noon, the hour stays the same but a.m. is written. If the hour is less than, then it is an a.m time. Exception: 00:00 (midnight) is a.m. a) 0:. a.m. b) 0:0.0 am c) 0:. am d) 0: 0. am e) :. am f)* 00:0.0 am. Write each time in -hour time. For -hour times between noon and midnight: Step : Minus hours. Step : Write p.m. If the hour is more than, then it is a p.m. time. Exception: :00 (Midday) is p.m. 0 min past midnight. a) :. p.m. b) :0.0 pm c) :0.0 pm d) 0:. pm e) :. pm f)* :. pm. Write each time in -hour time. [Mixed Questions] Noon: :00 is written p.m. and not 0 p.m. a) 0:. am b) :0.0 pm c) 0:0.0 am d) :. pm e) :. am f)* 00:. am g) :. pm h) 0:. am i)* :. pm Question Mixed Questions. Fill in the missing times.. Fill in the missing times. -hour time -hour time -hour time -hour time a) am 0:00 a).0 am 0:0 b) pm :00 b). pm : c) am 0:00 c).0 am :0 d) pm :00 d). am 0: e) 0 am 0:00 e). pm 0: f) pm :00 f).0 pm :0 *g) am 00:00 *g). pm : Term Section Time Copyright Reserved

45 Grade Play! Mathematics Answer Book Question Convert between Units of Time. Complete: a) minute = 0 seconds b) hour = 0 minutes c) day = hours minutes = 0 seconds hours = 0 minutes ½ day = hours ½ minute = 0 seconds ½ hour = 0 minutes ½ day = hours ¼ minute = seconds ¼ hour = minutes days = hours ¾ minute = seconds ¾ hour = minutes days = hours d) 0 seconds = minute e) 0 minutes = hour f) hours = day 0 seconds = minutes 0 minutes = ½ hour hours = days 0 seconds = minute 0 minutes s= hours hours = days. Complete: a) week = days b) days = week c) days = week + day weeks = days days = weeks days = weeks + days weeks = days days = weeks days = weeks + days weeks = days days = weeks 0 days = weeks + days. Complete: a) year = months b) months = year c) months = year + month ½ year = months months = years months = years + months years = months months = years months = years + months years = months months = years 0 months = years + months. Complete: [Mixed Questions] a) 0 seconds = minutes b) years = months c) ½ days = hours ( + ) d) 0 minutes = hours e) months = years f) 0 seconds = minutes g) months = years h) 0 minutes = ½ hour i) ¾ hour = minutes j) days = weeks k) minutes = ¼ hour l) ½ year = months m) minutes = ¾ hour n) hours = days o) days = hours p) ½ years = months ( + ) q) ½ min = 0 seconds (0 + 0) r) days = weeks Term Section Time Copyright Reserved

46 Grade Play! Mathematics Answer Book Question Calculations involving Time. Complete. a) min s + min s = min 0s b) min s + min 0s = min s c) min 0s + min s = min s d) min s + min 0s = min s 0s = min = min s e) min 0s + min s = min s = min s *f) min s + min s = min 00s = min 0s. It takes Pam min s to walk to the corner cafe and min 0s to walk home afterwards. She spends 0min s to buy the items that she needs. For how long is she away from home? min s + min 0s + 0min s = min 0s = min 0s. Complete. a) h min + h min = h 0min b) h min + h min = h 0min c) h min + h min = h min d) h min + h 0min = h min 0min = h = h min e) h 0min + h min = h min = h min *f) h min + h min = h 0min = h min. It takes Janie min to get to school and min to walk home after school. She spends h 0min at school each day. For how long is she away from home each day? min + min + h 0min = h min = h min. Theo slept h 0min on Monday night, h min on Tuesday night and h min on Wednesday night. How long did he sleep altogether during the nights?. Complete. h 0min + h min + h min = h 0min = h min a) d 0h + d h = d h h = d = d h b) d h + d h = d h = d h c) d h + d h = d h = d h d) w d + w d = w d d = w = w d e) w d + w d = w d = w d f) w d + w d = w d = w d. Rodger is away for week days in June and for weeks days in July. How many weeks and days is he away for during the two months? week days + weeks days = weeks days = weeks days.* In order to complete a project in weeks a workman worked d h the first week, d 0h the second week, d h the third week and d h the fourth week. How many days and hours did he work altogether during the weeks? d h + d 0h + d h + d h = d *h = 0d h *h = d Term Section Time Copyright Reserved

47 Grade Play! Mathematics Answer Book Question Time Intervals. The number of minutes to the next hour from: a) 0:0 is 0 b) :0 is 0 c) 0:0 is 0 d) :0 is 0 e) : is f) 0: is g) 0: is h) 0: is i) :0 is 0 j) 0: is k) :0 is l) : is. Calculate the number of hours between the two given times. a) 0:00 to 0:00 = h b) 0:0 to :0 = h c) 0:0 to :0 = h d) 0: to : = h. Calculate the number of hours and minutes between the two given times. E.g. : 0:0 to :0 Method Step : 0:0 to :0 hours Method Step : :0 to :0 0 min. Total h 0 min 0 h 0 0 h0 0 h 0 a) 0:0 to 0:0 b) 0:0 to 0:0 c) 0:0 to :0 = h 0min = h 0min = h 0min d) 0:0 to : e) : to :0 f) : to 0: = h min = h min = h 0 min E.g. : 0: to 0:0 Method Step : 0: to 0: hours Method Step : 0: to 0:00 min Step : 0:00 to 0:0 0 min 0 Total h min 0 0h0 0 0 h 0 h g) 0:0 to :00 h) 0: to 0:00 i) :0 to : = h 0 min = h min = h min j) 0: to : k) 0: to 0:0 *l) : to :0 = h 0 min = h min = h min Question Word Problems (Time Intervals). Lebo leaves home at 0: for school. She arrives at school at 0:0. How long does she take to get to school? 0 min. If you wait from.0 pm until. pm, how long do you wait for? h min. Bonga starts her homework at : and stops working at :0. How long did she take to finish her homework? hour 0 min.* The train leaves Station A at :0 and arrives at Station B at :. How long is the train trip? hours min Term Section Time Copyright Reserved

48 Grade Play! Mathematics Answer Book Question The Calendar See pg. : Time. Study: There are months in a year. 0 / January February March April May June July August September October November December Knuckle Trick Count the months on your knuckles and the grooves between your knuckles. Leave out your thumb knuckle. Every month that lands on a knuckle is days, every month that lands on a groove between knuckles is 0 days (except for February which has / days).. Complete: a) Name the second, the sixth, and the tenth month of the year. nd : February th : June 0 th : October b) How many days are there in March? days c) How many days are there together in June and July? + 0 = days d) How many days are there from the beginning of October until the end of the year? = days. The number of days between: a) 0 January and February = days left in Jan + days in Feb = days b) June and 0 July = days in June + days in July = days c) April and May = days in Apr + days in May = 0 days d) October and November = days in Oct + days in Nov = days Days between: we do not count 0 Jan or Feb. e) March and May = days in Mar + 0 days in Apr + days in May = days f) September and 0 November = days Sept + days Oct + days Nov = days g) March and May = days in Mar + 0 days in Apr + days in May = days h)* April and June = days Apr + days May + days Jun = days Term Section Time Copyright Reserved

49 Grade Play! Mathematics Answer Book Section : Properties of -D Shapes Question Curved and Straight Sides TERM. Sort the shapes in the table below. Curved sides only Straight sides only Curved and straight sides. Which shape above is a/an: a) Circle? b) Oval? c) Rectangle?. Draw your own shapes: Curved sides only Straight sides only Curved & Straight sides answers will vary answers will vary answers will vary Question The Definition of a Polygon. Study: -D figures are flat. We measure -D figures by their length and width. Another name for width is breadth.. Which figure below is not -D? c It is D - a rectangular prism. a) b) c) d). We measure -D shapes by their length and width/ breadth.. Study: A polygon is a -D shape with only straight sides. The shape must be closed.. Complete: a) Which figure in is a polygon? d b) Is a circle a polygon? No it has one curved side.. Describe a polygon by naming characteristics.. -D shape.. It only has straight sides.. The shape must be "closed. Question Naming Polygons. Study: Polygons are named according to their number of sides.. Complete the table below. Triangle Quadrilateral Pentagon Hexagon Heptagon sides sides sides sides sides Term Section Properties of -D Shapes Copyright Reserved

50 Grade Play! Mathematics Answer Book 0 Question Squares and Rectangles. On the grid, draw a square. On the grid, draw a rectangle with a with sides of units each. width of units and a length of units L W W L. True or False? A rectangle has equal straight sides. False. Complete: a) In a rectangle, the short sides are called widths/ breadths. b) In a rectangle, the longs sides are called lengths.. Choose the correct word to complete each sentence. four two opposite a) A square has four equal sides. b) A rectangle has opposite sides of equal length. not two! Question Different Quadrilaterals. Study: All closed shapes with four straight sides are classified as quadrilaterals.. Which shapes are quadrilaterals? A, C, D and F A B C D E F. Complete: a) Is a square a special quadrilateral? Yes it has four straight sides b) Is a rectangle a special quadrilateral? Yes it has four straight sides Question Naming Polygons. Complete the table below: Figure Number of sides Name Figure Number of sides Name a) Square d) Hexagon b) Pentagon e) Rectangle c) Triangle f) Heptagon Term Section Properties of -D Shapes Copyright Reserved

51 Grade Play! Mathematics Answer Book Question Angles. Name each of the shapes below and count how many angles each shape has. Name No. of Angles A: Pentagon B: Rectangle C: Heptagon D: Square A B C D. Complete: a) Does a square have more sides or more angles? Neither It has sides & angles. b) Does a heptagon have more sides or more angles? Neither It has sides & angles. c) True or False? Polygons have the same number of sides and angles. True Question Regular and Irregular Polygons. Study: Example: What is a regular polygon?. All sides have the same length.. All angles are equal in size. Regular pentagon Irregular pentagon equal sides sides. Name each of the polygons below. Which polygons are irregular? b, e, f, g, i, j, l a) b) c) d) Triangle Hexagon Pentagon Heptagon e) f) g) h) Hexagon Pentagon Triangle Hexagon i) j) k)* regular l)* irregular Quadrilateral Heptagon Square Rectangle. The shape is called a/an A irregular hexagon. B regular pentagon. C irregular pentagon D regular heptagon.. Name two properties which make a polygon regular.. All sides have the same length. All angles are equal in size Term Section Properties of -D Shapes Copyright Reserved

52 Grade Play! Mathematics Answer Book Question Parts of an Angle. Study: Parts of an angle.. The corner point of an angle is called the vertex.. The two straight sides are called arms.. The angle is the amount of turn between the arms.. Which pairs of lines form angles? A, C and E A B C D E F. Label the arms in each of the angles below. a) b) c) arm d) arm arm arm arm arm arm arm. Draw an arrow to show the angle formed between each pair of arms below. a) b) c) d). Draw a small circle at the vertex point in each of the angles below. a) b) c) d) Question 0 The Size of an Angle. Study: As one arm turns away from the other arm, the size of the angle increases. The angles are getting bigger. Consider the angles: A B C D a) Which angle is the smallest? Angle C b) Which angle is the largest? Angle D c) Arrange the angles from the smallest to the largest. C, A, B, D Term Section Properties of -D Shapes Copyright Reserved

53 Grade Play! Mathematics Answer Book Question Right Angles. Study: The square corners below are called right angles. When lines form a right angle, the lines are perpendicular to one another. right angle right angle. Which angles are right angles? B, D and E A B C D E. Mark each right angle in the square and the rectangle below. The first one has been done for you. a) b). True or False? a) A square has four right angles. True b) A rectangle has four right angles. True. Mark each right angle, where possible, in the shapes below. A B C D a) Which shape(s) have 0 right angles? A (circle) b) Which shape(s) have right angles? C and D Question Squares and Rectangles. Choose the correct word to complete each sentence. equal opposite right angles four two a) A square has four equal sides. b) A rectangle has opposite sides of equal length. c) A square has four right angles. d) A rectangle has four right angles. Term Section Properties of -D Shapes Copyright Reserved

54 Grade Play! Mathematics Answer Book Question Smaller than or Bigger than a Right Angle. Study: Smaller than a Larger than a right angle Right angle right angle. State whether each angle is smaller than, bigger than or equal to a right angle. A B C D smaller larger equal smaller. Arrange the angles below from the smallest to the biggest. A, D, C, B A B C D. State whether each angle is smaller than, bigger than or equal to a right angle. A B C D smaller bigger smaller equal *. State whether each numbered angle is smaller than, bigger than or equal to a right angle. a) b) c). Smaller. Bigger. Bigger. Bigger. Smaller. Smaller Term Section Properties of -D Shapes Copyright Reserved

55 Grade Play! Mathematics Answer Book Section : Data Handling Question Bar Graphs TERM. A bar graph uses bars to represent data. The bars do not touch one another.. During the 0 Olympic Games, Paul did a survey to see which track and field events the learners in his school liked to watch. He drew this graph to show his results: No. of learners Favourite events for 0 Olympic Games Bar Graph Checklist: Heading Axis Labels Equal scale markings (for no of learners) Labels (for events) Bars are equal widths with spaces in between 0 High Jump Sprinting Javelin Marathon Shot Put Events a) What is the most popular event? Sprinting b) What is the least popular event? Shot put c) How many learners chose sprinting and marathon (i.e. track events)? + 0 = d) How many learners chose field events? = e) How many more learners chose sprinting than shot put? = 0 more f) How many learners took part in the survey? + = 0 learners. For their environmental project, three Grade B girls decided to collect bottles for recycling. Each girl recorded the colour and the kind of bottles she collected. These are the results: Colour Total Brown glass (B) Clear glass (C) Green glass (G) 0 Clear plastic (P) 0 Best scale for bar graph: Count in s up to. (should pass the largest total) a) Draw a bar graph to illustrate the data. Refer to the Bar Graph Checklist above. b) Which kind of bottle was collected the most? Clear Plastic c) What is the difference between the number of brown glass bottles and clear plastic bottles collected? = 0 d) How many bottles were collected altogether? = 0 Term Section Data Handling Copyright Reserved

56 Grade Play! Mathematics Answer Book Question Pictographs and Tally Charts. Study: Tally marks are a method for grouping numbers in : marks mean an item has been counted times.. The following pictograph shows the favourite activities of a grade Hobbies Reading Drawing Music Television Number of learners A pictograph is data represented in picture form. It is important to take note of the key. KEY: = learners a) Complete the tally chart below using the above information. Hobbies Number of learners Total b) How many children like to draw? 0 Reading c) How many children prefer drawing than reading? 0 = Drawing 0 d) Which activity is most popular? TV Music e) How many children took part in this survey? = Television. Study the following pictograph below and then answer the questions that follow. Number of glasses of juice sold Monday 0 KEY: = 0 glasses of juice Tuesday 0 Wednesday ½ = glasses Thursday 0 Friday a) On which day were the most glasses of juice sold? Friday b) How many glasses of juice were sold on Friday? c) How many glasses of juice were sold in total? = 00 d)* What fraction of the juice was sold on Monday? No. sold on Mon Total sold = 0 = = 00 0 e)* If each glass of juice costs R, how much was paid for the juice on Wednesday? R = R Term Section Data Handling Copyright Reserved

57 Grade Play! Mathematics Answer Book Question Pie Charts. A pie chart represents data in a circle form. The whole circle represents all of the data. The fractional parts show the number of people or objects involved in the survey.. Complete: a) = of 0 0 b) = of 0 c) of = d) of = = of 0 0 = of 0 = of = of. 0 Grade learners were given the names of four kinds of fruit from which to choose their favourite. The information was illustrated on a pie chart. Favourite kind of fruit a) What fraction of the learners chose apple? 0 learners b) How many learners (out of the 0 learners) chose apple? 0 0 learners c) What fraction of the learners chose banana? learners d) How many learners (out of the 0 learners) chose banana? 0 learners The whole circle represents all 0 learners. e) What fraction of the learners chose grapes? f) How many learners (out of the 0 learners) chose grapes? g) How many learners chose either grapes or pears? 0. The pie chart shows the favourite colour of the learners in Grade. Favourite colour choices a) Into how many equal parts has the circle been divided? Red b) What fraction of learners chose green? White Blue Purple Green c) How many learners chose green? of = learners d) What fraction of learners chose blue? e) How many learners chose white? of = learners The whole circle represents all learners. f)* What fraction of learners chose red, purple or green? = g) What was the most popular colour? Blue Term Section Data Handling Copyright Reserved