.CO.UK. Mathematics Book P COMPATIBLE. Delivering the Mathematics National Curriculum. ipad/android COMPATIBLE PC/MAC. Fisher Educational Ltd

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1 m pl e M at er ia ls.co.uk Sa Mathematics ook P Delivering the Mathematics National Curriculum COMPTILE ipad/ndroid COMPTILE PC/MC Fisher Educational Ltd

2 Seven Digit ddition (Worded Questions) ). Susan has red bindis and green bindis. Make an estimate of the total number of bindis she has. Calculate the total number of bindis she has. + nswer ). James counts the number of words in two large books. The first book has words and the second book words. Make an estimate of the total number of words in the two books. How many words are there in the two books? nswer ). In a very large library there are fiction books and non-fiction books. Make an estimate of the total number of books in the library. Calculate the total number of books in the library. nswer ). Fatimah has two documents on her computer. One is K and the other K in size. Make an estimate of the combined size. Calculate the combined size of the two documents. nswer ). factory makes red beads, yellow beads and green beads. Make an estimate of the total number of red, yellow and green beads the factory manufactures. Calculate the total number of red, yellow and green beads the factory manufactures. nswer ). car manufacturer make three types of car for world production. Last year it made type, type and 0 type C cars. Make an estimate of the total number of cars made by the manufacturer last year. How many cars did the manufacturer make last year? nswer ). shoe factory made shoes in the first quarter of the year, shoes in the second quarter, 0 shoes in the third quarter, and 0 shoes in last quarter of the year. Make an estimate of the total number of shoes made in the year. How many shoes did the factory make in the year? nswer ). Find the sum of five hundred and twenty eight thousand five hundred and fifty three, one million six hundred and eighty one thousand four hundred and sixteen, one hundred and ninety thousand seven hundred and five and two million three hundred and sixty four thousand three hundred and fifty. Make an estimate of the total. nswer Page of

3 Lattice Multiplication ( digits) To solve draw a rectangular lattice. Write across the top and down the side as shown. = 0 = 0 = = = 0 = 0 = = = = = 0 Complete the lattice multiplications. = 0 dd the diagonals left to right. Note: Carries are added to the next column. Read the answer anticlockwise = 0 0 = = = = = 0 = Page 0 of

4 Flow Diagrams, Multiplication of Fractions flow diagram shows a number (input) following a rule to get another number (output). Here we see the inputs being multiplied by to get the outputs. Copy and complete the flow diagrams below. 0 Page of

5 / of / Calculated Colouring The calculations all have whole number answers. Work them out then colour each area according to the Key below. Yellow Grey Light lue / / of / of / of / of -. / of Dark lue Key lack Red Pink Page of

6 Scientific Notation (Standard Index Form) Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in standard decimal notation. It is written in the form a 0 b, where a < 0 and b is an integer. It is also known as standard index form. Reminder: 0 = 0, 0 = 0 0 = 00, 0 = = 000, 0 = = etc Examples:. 0 = = =. 0 =. ). These numbers are given in scientific notation. Write them as ordinary 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)..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 Examples: 000 = =. 0 =. 00 =. 0 ). Write these numbers in scientific notation. ). 0 ). 000 ). 0 ). 00 ). ). ). ) ). 0) ). ). 0 ). 00 ) ) ). ). 00 ). ). 0). 00 ) ) ). 0 ). ). ). 00 ). 0 ) ). 0 0) ). 000 ) ). ) ). 000 ). ). 000 ). 000 ) ). ) ) ). 00 ) ) ) ) ) ). million 0). million ). million ). million Examples: Write in scientific notation:. 0 =. 0 0 =. 0 0 =. 0 0 =. 0 C). These are not written in scientific notation. Write them in scientific notation. ).. 0 ). 0 ).. 0 ). 0 ). 0 0 ).. 0 ). 0 0 ). 0 ) ). 0 0 ) ) ) ) ) ) ) ) ) ) ). For what reason are the numbers above not scientific notation? Page of

7 Make a Magic Square In a magic square, all the rows, columns and diagonals add up to the same number. This number is called the Magic Number. This is a template that will help you make your own magic square. a - c a - b + c a + b Page of a + b + c a a - b - c a - b a + b - c a + c To use this template all we do is substitute numbers for a, b and c. ). Draw the magic square if a =, b = and c =. ). Draw the magic square if a = 0, b = and c =. ). Draw the magic square if a =, b = and c =. ). Draw the magic square if a = 0, b = 0 and c =. ). Draw the magic square if a =, b = and c =. In this next set of magic squares, some of the numbers will be negative. ). Draw the magic square if a =, b = and c =. ). Draw the magic square if a =, b = and c =. ). Draw the magic square if a =, b = and c =. ). Draw the magic square if a =, b = and c = -. 0). Draw the magic square if a = -, b = and c =. In this next set of magic squares, some of the numbers will be decimals. ). Draw the magic square if a =, b =. and c =. ). Draw the magic square if a =, b = and c =.. ). Draw the magic square if a = 0., b = and c =. ). Draw the magic square if a =., b =. and c =. ). Draw the magic square if a =., b =. and c =..

8 Example. lgebraic reas (Triangles) Find and simplify an expression for the area of the triangle. rea = base height rea = (x ) rea = (x ) rea = (x ) = x + rea = x 0 x Write an expression for the area of each triangle. ). ). ). ). a + ). ). ). ). w v ). e 0). ). ). + e p ). ). ). ). x x r x p + y 0 + b + y r f g f y a + y u u + 0 a ). ). ). 0). k + x v + y v y Page of

9 Parallel Lines Revision Find the value of the letters. Where there is more than one letter, find the letters in alphabetical order. Give a reason with the answer. (Diagrams are not drawn to scale). ). ). ). ). ). b p a c ). ). ). ). 0). d t f ). ). ). ). ). y r q e k m l v w u n m o p n ). ). ). ). 0). z w y lternate ngles ( z shapes) ). In each diagram there are two pairs of alternate angles. Identify them. ). ). ). ). ). a b c d e f ). ). ). ). 0). o q t m p r n p q r t u v w e f i k j l n p m o ). Find the value of the letters. Where there is more than one letter, find the missing letters in alphabetical order. Give a reason with the answer. (Diagrams are not drawn to scale). ). ). ). ). ). q t r d c e f i j k l m n o p q r e c f d a b e b a j i c t u v w y z f d t u w v y z v e r ). ). ). ). 0). Page of y v u a b r

10 dd the seconds 0 + = s. Change to minutes and seconds. s = min s hr min 0 s + hr min s s min s ). hr min s + hr min s ). hr min s + hr min 0 s ). hr min s + hr min s 0). hr min 0 s + hr min s dding Time in Hours, Minutes and Seconds We can add time in vertical form. We may have to regroup the units though. Example. hr min 0 s + hr min s dd the minutes + + = min. Change to hours and minutes. min = hour min hr min 0 s + hr min s s min s min hr min hr min 0 s + hr min s = hr min s ). hr min s + hr min s ). hr 0 min s + hr min s ). hr min 0 s + hr min s ). hr min s + hr min s dd the hours + + = hours. hr min 0 s + hr min s s min s min hr min hr ). hr min s + hr min s ). hr min s + hr min s ). hr min s + hr min 0 s ). hr min s + hr min s ). hr min s + hr min s ). hr min s + hr min s ). hr min s + hr min s Page of

11 Venn Diagrams with Numbers In Venn diagrams circles are used to sort objects into sets. If numbers are in the circle, this shows how many objects are in the set. The regions on the Venn diagram can be described in words. ). The intersection is where the sets overlap. and Ian Reena Jim Mitu Tom ). jay Piet The union is everything in both sets. or The complement is everything that is not in. not For each of the following Venn diagrams list how many members are in the sets a)., b)., c). and, (the intersection of and ), d). or, (the union of and ), e). not, (the complement of ), f). not, (the complement of ). ). ). ). ). ). ). ). 0 Page of