Multiplication and Division
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1 Multiplication and Division Learning From Home Workbook visit twinkl.com
2 Year Programme of Study Multiplication and Division Statutory Requirements Activity Sheet Identify multiples and factors, including finding Common Factors all factor pairs of a number, and common factors of two numbers. Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers. Finding Prime Factors Establish whether a number up to 00 is prime and recall prime numbers up to. Identifying Prime Numbers to 00 Multiply numbers up to digits by a one or -digit number using a formal written method, including long multiplication for -digit numbers. Long Multiplication Practice Digits Digits Multiply and divide numbers mentally drawing upon known facts. Halving to Divide by, and Recalling Prime Numbers 0- Long Multiplication Practice Digits Digits Multiplication Grids Doubling to Multiply by, and Dividing Multiples of 0 by -Digit Numbers Dividing Multiples of 0 Multiplying Multiples of 0 by -Digit Numbers Divide numbers up to digits by a -digit number using the formal written method of short division and interpret remainders appropriately for the context. Short Division Multiply and divide whole numbers and those involving decimals by 0, 00 and 000. Multiplying Whole Numbers by 0 Short Division Practice Digits Divided By One Digit Division Word Problems Interpreting Answers Multiplying and Dividing by 00 and 000 Dividing Whole Numbers by 0 Recognise and use square numbers and cube numbers, and the notation for squared () and cubed (). Using and Recognising Square and Cube Numbers Solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes. Missing Number Multiplication and Division Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. Solving Problems Involving an Understanding of Equals Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. Multiplication and Division Piggy Bank Problems Crack the Code with Factors, Multiples, Square Numbers and Cube Numbers Understanding the Equals Sign Solving problems Involving Simple Rates Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
3 Contents Common Factors... Finding Prime Factors... Identifying Prime Numbers to Recalling Prime Numbers Long Multiplication Practice Digits Digits... Long Multiplication Practice Digits Digits... 0 Multiplication Grids... Halving to Divide by, and... Doubling to Multiply by, and... Dividing Multiples of 0 by -Digit Numbers... Dividing Multiples of 0... Multiplying Multiples of 0 by -Digit Numbers... Short Division... Short Division Practice Digits Divided By Digit... Division Word Problems Interpreting Answers... 0 Multiplying Whole Numbers by 0... Dividing Numbers by 0... Multiplying and Dividing by 00 and Dividing Whole Numbers by 0... Using and Recognising Square and Cube Numbers... Missing Number Multiplication and Division... Crack the Code with Factors, Multiples, Square Numbers and Cube Numbers... Solving Problems Involving an Understanding of Equals... 0 Understanding the Equals Sign... Multiplication and Division Piggy Bank Problems... Solving Problems Involving Simple Rates... 0 twinkl.com
4 Common Factors Can you find the common factors of the following pairs of number?.. 0 The common factors are: The common factors are:.. 0 The common factors are: The common factors are: The common factors are: The common factors are:.. The common factors are: 0 The common factors are: Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
5 Can you find the common factors of the following trios of number?. 0 0 The common factors are:. The common factors are:. The common factors are:. The common factors are: 0 twinkl.com
6 Finding Prime Factors Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers. Every number has a unique set of prime factors. (Prime numbers can be multiplied together to make the number.) These can be found using a Factor Tree. Find any factors of the number, then the factors of those numbers until you can t go any further the resulting numbers will be the prime factors. A. B. c. = D. E. 0 F. G. H. I. 0 Try a larger number! J. Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
7 Identifying Prime Numbers to 00 Establish whether a number up to 00 is prime and recall prime numbers up to. Use any method you wish to find all the prime numbers between 0 and 00, and then check your answers. Did you make any mistakes? Can you see where you went wrong? Don t forget that not all odd numbers are prime numbers use your times table knowledge to help you! 0 twinkl.com
8 Recalling Prime Numbers 0- Establish whether a number up to 00 is prime and recall prime numbers up to. Knowing the first few prime numbers can give you a real advantage when answering questions and calculating prime factors. Complete this sheet to deepen your familiarisation. Allow yourself some time to look at the prime numbers. Look carefully for the odd numbers which are missing and think about why. When you are ready fold the sheet over on the fold line and complete the tasks below,,,,,,, A. Write out the prime numbers between 0- with your weaker hand! B. Write the prime numbers out in descending order (highest to lowest). C. Which three prime numbers are missing?,,,,,,, six fifteen one nine thirteen D. Circle the prime numbers. Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
9 Long Multiplication Practice Digits Digits twinkl.com
10 Long Multiplication Practice Digits Digits Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
11 Multiplication Grids Multiplying -Digit Numbers by -Digit Numbers Using the Grid Method =. =. =. =. 0 =. 0 =. =. =. = 0. 0 = 0 twinkl.com
12 Halving to Divide by, and Halve the starting number each time to divide the starting number by, or. halve ( ) Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
13 Doubling to Multiply by, and Double the previous number each time to multiply the starting number by, or. Double () 0 0 twinkl.com
14 Dividing Multiples of 0 by -Digit Numbers. 0 =. 0 =. 00 =. 00 =. 0 =. 0 =. 0 =. 0 =. 0 = 0. 0 =. 0 =. 00 =. 0 =. 0 =. 0 =. 0 =. 00 =. 0 = 0. 0 =. 0 =. 0 =. 0 =. 0 =. 0 =. 0 =. 0 =. 00 =. 0 =. 0 = 0. 0 = Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
15 Dividing Multiples of = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 0 twinkl.com
16 Multiplying Multiples of 0 by -Digit Numbers. 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 = Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
17 Multiplying Multiples of 0 by -Digit Numbers. 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 twinkl.com
18 Short Division Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
19 Short Division Practice Digits Divided By Digit Divide the numbers up to four digits by a one-digit number using the formal written method of short division. Some of the answers will have a remainder twinkl.com
20 Division Word Problems Interpreting Answers Divide numbers up to four digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Complete the necessary calculation, and then decide if your answer needs to be rounded up or down.. Each glass of fresh apple juice made at the café requires the juice of four apples. If they have apples, how many full glasses of juice can they make? Answer:. Bilal and Georgina are planting seeds. They have to plant and they decide to plant eight in each pot. How many pots will they need altogether? Answer:. It s a busy night at the hostel beds are arranged four to a room and there are guests wishing to stay. How many rooms will the hotel need to ensure everyone gets a bed? Answer: 0 Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
21 . A factory produces chocolate cookies per day. If there are nine cookies in each packet, how many full packets will they be able to make? Answer:. Aimee and Lucy want to make bracelets for everyone. They need nine big rubber bands to make each bracelet. They buy a box containing 0 bands. How many friends can they make bracelets for? Answer:. Each dragon boat team consists of nine members and each member must have two oars. If there are a total of oars on the river bank, how many dragon boat teams can be made? Answer: 0 twinkl.com
22 Multiplying Whole Numbers by 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 = Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
23 Dividing Numbers by 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 twinkl.com
24 Multiplying and Dividing by 00 and 000 Multiply and divide whole numbers and those involving decimals by 0, 00 and 000. Drive the lorries forward two spaces on a place value grid to multiply by 00 and three spaces to multiply them by 000. Reverse them two spaces to divide by 00 and three spaces to divide them by Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
25 Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens 0 twinkl.com Ones Tenths Hundredths Thousandths
26 Dividing Whole Numbers by = =. 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 = = Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
27 Using and Recognising Square and Cube Numbers Recognise and use square numbers and cube numbers, and the notation for squared () and cubed (). Square Numbers The product of a number multiplied by itself. Can be illustrated as a square, e.g Cube Numbers The product of multiplying a digit by itself three times. Can be illustrated as a cube, e.g. ² = squared = = ³ = cubed = = A. Complete the table. ² B. Complete the table. ² ² ³ ³ ³ ² ³ ³ ² ³ 0² 00 0³ C. Calculate the missing numbers. a) ² + ³ = b) ² + 0² = c) ³ - ² = f) ² ³ = d) ² + = e) g) ² + = ² h) ³ ² = i) ² = k) 00² = l) j) 0³ - ² = - ² = 0 twinkl.com ² =
28 Missing Number Multiplication and Division Estimate first, then calculate the missing number.. =. = 00. =. =. = 0. =. =. =. =. = 0. =. =. =. =. =. =. =. = 0. = 0. = 0. =. =. =. =. =. = 0. =. = 0. = = 0 Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
29 Crack the Code with Factors, Multiples, Square Numbers and Cube Numbers Solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes. Each answer to the questions below will be a number. Match the number to a letter in the grid below. If your answers are correct, your letters will spell out a phrase. 0 A B C D E F G H I J K L M 0 N O P Q R S T U V W X Y Z Which number? Notes/Number Letter This number is a multiple of seven and two and is a factor of. This number is a square number, a multiple of three and one more than a cube number. This number is a prime number and a factor of. When this number is squared, the answer is the largest square number in the list above. This prime number is > and <. This number is a multiple of five and three. This multiple of nine is in between two prime numbers. This number is the difference between ² and ². 0 twinkl.com
30 Solving Problems Involving an Understanding of Equals Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. Solve each problem and write out your answer as an equation the first one has been done for you. E.g. Dan saves 0p every week for weeks. If Diana saves p per week, how long will it take her to save the same amount? 0 = p 0 = Equation: 0 = Answer:. weeks Mary needs 00g of flour for her baking. She would need of the packets containing 00g but how many of the packets containing 0g would she need? Answer: 0 Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
31 . Sam and Ahmed are training for their 000m swimming badge. Sam is going to swim 0 lengths of metres. Ahmed wants to swim his distance in widths. How many 0 metre widths will he need to swim? Answer:. Effie s sunflower grows cm a week for weeks. Ethan s sunflower reaches exactly the same height, but it takes weeks to grow. How much does his sunflower grow per week? Answer:. The Blue Team and the Red Team are having a water race. They each need to move 000ml of water from one end of the course to the other. The Blue Team have a beaker which holds 00 ml. The Red Team have a beaker which holds 0ml of water. How many trips will each team need to make? Answer: 0 twinkl.com
32 Understanding the Equals Sign Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. Answer these questions by remembering that = means the same as or is equal to and not the answer is.. =. + = 0 ² - =. =.. 0 = +. = ² +. + = = 00. = ² =. =. 0 = ³ = +. = =. = % of 0 = % of = ² = 00 - = Write some balanced equations using the = sign to show that both sides of your equation are equal. The number to make is given..... = 0 = = = Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
33 Multiplication and Division Piggy Bank Problems Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. A. How many of each coin is in the piggy bank? p coin p coin 0p coin p..0 B. How many of each coin is in the piggy bank? C. How many of each coin could be in the piggy bank?..0.0 D. How do these circumstances affect the amounts in these savers piggy banks? Sonia. Krystal. Sonia gives half of her money to Krystal. They both save until they have doubled their money. They add their money together and share it between themselves equally. 0 twinkl.com
34 Solving Problems Involving Simple Rates Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.. If a car travels 00 miles in six hours, how far would we expect it to travel in two hours?. A teacher can mark seven pieces of work every ten minutes. How many could they mark in an hour and a half?. The school kitchen makes two meals every five minutes. How long will they need to prepare food for the 0 children eating dinner?. If a rocket uses litres of fuel to fly for two minutes, how much fuel will it burn in five and a half minutes? Multiplication-and-Division-Learning-from-Home - Learning From Home Workbook
35 . Ben drives 0 kilometres in three hours, and Darius drives 00 kilometres in five hours. Who is driving the fastest on average?. A supermarket has two offers on free range eggs: for.0 and for.0 Which is the best deal?. Tamsin runs miles in two hours and Julie runs. miles in an hour. Who is running faster?. If an object has a velocity of five kilometres per minute, how long will it take to travel 00km? 0 twinkl.com
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