1. Whiteboardmaths.com
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2. F F F F E E E E D D D D C C C C NUMBER ALGEBRA SHAPE SPACE & M
HANDLING
DATA F F F F E E E E
SHAPE and SPACE
HANDLING DATA D D D D
SHAPE and SPACE
HANDLING DATA C C C C

3. Calculate:
(10 x 17) + (5 x 200)
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Answer

4. Calculate:
(10 x 17) + (5 x 200)
170
1000
1170
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5.  Find the cost of 6 teddy bears and 12 clowns to the nearest pound.
£28.56
£5.43 
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Answer

6. Find the cost of 6 teddy bears and 12 clowns to the nearest pound.
£237
£28.56
£5.43 
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Explain?

7. Find the cost of 6 teddy bears and 12 clowns to the nearest pound.
£237
£28.56
£5.43
6 x x 5.43 = 
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8. Here is an old recipe for savoury oat cakes for 4 people
Here is an old recipe for savoury oat cakes for 4 people. How much margarine would be needed in a recipe for 10 people?
150 g oatmeal
80 g self raising flour
50 g grated cheese
30 g margarine
10 ml yeast extract
40 ml of boiling water
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Answer

9. Here is an old recipe for savoury oat cakes for 4 people
Here is an old recipe for savoury oat cakes for 4 people. How much margarine would be needed in a recipe for 10 people?
150 g oatmeal
80 g self raising flour
50 g grated cheese
30 g margarine
10 ml yeast extract
40 ml of boiling water
75 g
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Explain?

10. Here is an old recipe for savoury oat cakes for 4 people
Here is an old recipe for savoury oat cakes for 4 people. How much margarine would be needed in a recipe for 10 people?
150 g oatmeal
80 g self raising flour
50 g grated cheese
30 g margarine
10 ml yeast extract
40 ml of boiling water
10 = 2½ x 4 So
2½ x = 75
75 g
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11. Jenny’s salary increased from £28 500 per year to £29 640 per year
Jenny’s salary increased from £ per year to £ per year. Find the percentage increase in her salary.
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Answer

12. Jenny’s salary increased from £28 500 per year to £29 640 per year
Jenny’s salary increased from £ per year to £ per year. Find the percentage increase in her salary. 4%
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Explain?

13. Jenny’s salary increased from £28 500 per year to £29 640 per year
Jenny’s salary increased from £ per year to £ per year. Find the percentage increase in her salary.
Remember:
percentage change =
change
original quantity
x 100
percentage increase =
1140
28 500
x 100 = 4 4%
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14. How are the numbers in red related to each other?1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
How are the numbers in red related to each other? 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100
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Answer

15. They are all multiples of 11.2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
How are the numbers in red related to each other? 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
They are all multiples of 11. 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100
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16. ? ? 3n + 2 2n - 1 Back to board Answer
Simon and Jenny each have a bag containing different numbers of discs In total they have 36 discs (a) Write an equation for the total number of discs (b) How many discs are in each bag? ? ?
3n + 2
2n - 1
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Answer

17. ? ? 23 13 3n + 2 2n - 1 5n + 1 = 36 Back to board Explain?
Simon and Jenny each have a bag containing different numbers of discs In total they have 36 discs (a) Write an equation for the total number of discs (b) How many discs are in each bag?
5n + 1 = 36 ? ? 23 13
3n + 2
2n - 1
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Explain?

18. Simon and Jenny each have a bag containing different numbers of discs
Simon and Jenny each have a bag containing different numbers of discs In total they have 36 discs (a) Write an equation for the total number of discs (b) How many discs are in each bag?
5n + 1 = 36
2 x 7 - 1 ? ? 23 13
3 x 7 + 2
3n + 2
2n - 1
3n n - 1 = 5n + 1
If 5n + 1 = 36 then n = 7
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19. The heights of the Russian dolls are measured in cm
The heights of the Russian dolls are measured in cm. Find the difference in their heights.
5n + 2
2n - 3
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Answer

20. The heights of the Russian dolls are measured in cm
The heights of the Russian dolls are measured in cm. Find the difference in their heights.
3n + 5
5n + 2
2n - 3
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Explain?

21. The heights of the Russian dolls are measured in cm
The heights of the Russian dolls are measured in cm. Find the difference in their heights.
3n + 5
5n + 2
2n - 3
5n (2n - 3) = 5n n + 3 = 3n + 5
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22. Factorise:
9x - 12x2
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Answer

23. Factorise:
9x - 12x2
3x(3 - 4x)
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Explain?

24. Factorise:
9x - 12x2
3x is the highest common factor of the expression.
3x(3 - 4x)
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25. (a) mm (b) cm and mm (c) cm
How far along the centimetre ruler is the arrow? Give your answer in:
(a) mm (b) cm and mm (c) cm 1 2 3 4 5 6 cm
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Answer

26. (a) mm (b) cm and mm (c) cm
How far along the centimetre ruler is the arrow? Give your answer in:
(a) mm (b) cm and mm (c) cm 1 2 3 4 5 6 cm
(a) 19 mm
(b) 1 cm 9 mm
(c) 1.9 cm
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27. Find the perimeter of this shape.
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Answer

28. 36 m Find the perimeter of this shape. Back to board Explain? 9m 5m 4m

29. 36 m Find the perimeter of this shape. Back to board 9 m 6 m

30. A B C D Back to board Answer
Which 2 triangles are enlargements of the yellow triangle? A B C D
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Answer

31.   A B C D Back to board Explain?
Which 2 triangles are enlargements of the yellow triangle? A  B  C D
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Explain?

32.   A B x ½ x 2 C D Back to board
Which 2 triangles are enlargements of the yellow triangle? A  B 2 2 
x ½ 4 8 4
x 2 C 8 D
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33. A coloured glass decorative window consists of square panes each with a side length of 1 m and a semi-circular top. Calculate the area of the window in m2. (answer to 1 dp)
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Answer

34. A coloured glass decorative window consists of square panes each with a side length of 1 m and a semi-circular top. Calculate the area of the window in m2. (answer to 1 dp)
12.5 m2
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Explain?

35. Remember: A = r2 Back to board
A coloured glass decorative window consists of square panes each with a side length of 1 m and a semi-circular top. Calculate the area of the window in m2. (answer to 1 dp)
Area of each square pane = 1 m2
Total area of square panes = 9 m2
Area semi-circular top = ½ x  x 1.52 = 3.53 m2
Total area = = 12.5 m2 (1 dp)
3 m
12.5 m2
Remember: A = r2
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36. The frequency diagram below shows the scores for some students in a maths test.
How many students scored 19 marks or less? 25
Test Scores 20
Frequency 15 10 5
0-9
10-19
20-29
30-39
40-49
50-60
Marks
Answer
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37. The frequency diagram below shows the scores for some students in a maths test.
How many students scored 19 marks or less? 25
Test Scores 20
Frequency 15 10 19 5
0-9
10-19
20-29
30-39
40-49
50-60
Marks
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Explain?

38. The frequency diagram below shows the scores for some students in a maths test.
How many students scored 19 marks or less? 25
Test Scores 20 15
Frequency 15 10 19 4 5
0-9
10-19
20-29
30-39
40-49
50-60
Marks
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39. The pie chart shows the result of a survey of 300 people questioned about their favourite sports. Calculate (without using a calculator) how many people played each sport.
Favourite Sport
Football
Rugby
Rugby
90o
Squash
108o
36o
Squash
Ice Hockey
54o
72o
Football
Cricket
Ice Hockey
Cricket
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Answer

40. The pie chart shows the result of a survey of 300 people questioned about their favourite sports. Calculate (without using a calculator) how many people played each sport.
Favourite Sport
Football
Rugby
Rugby 75
90o
Squash 30
108o
36o
Squash
Ice Hockey 60
54o
72o
Football 90
Cricket
Ice Hockey
Cricket 45
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Explain?

41. The pie chart shows the result of a survey of 300 people questioned about their favourite sports. Calculate (without using a calculator) how many people played each sport.
¼ played rugby
Favourite Sport
Football
Rugby
Rugby 75
90o
Squash 30
108o
36o
Squash
Ice Hockey 60
54o
72o
Football 90
Cricket
Ice Hockey
Cricket 45
1/10 played squash
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42. Prof offered Beaky one of his chocolates from the box
Prof offered Beaky one of his chocolates from the box. Beaky chose one at random. What is the probability that she did not choose a caramel flavoured chocolate?
Strawberry
Milk Chocolate
Caramel
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Answer

43. Prof offered Beaky one of his chocolates from the box
Prof offered Beaky one of his chocolates from the box. Beaky chose one at random. What is the probability that she did not choose a caramel flavoured chocolate?
Strawberry
Milk Chocolate
Caramel
8/12 = 2/3
8 of the chocolates are not caramel flavoured out of a total of 12 chocolates.
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44. A class of 30 students consisting of 16 boys and 14 girls sat a test
A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.8 calculate the mean score for the girls. 
7.8 ?
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Answer

45. A class of 30 students consisting of 16 boys and 14 girls sat a test
A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.8 calculate the mean score for the girls. 
7.8 ?
7.2
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Explain?

46. Total marks scored on test = 30 x 7.5 = 225
A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.8 calculate the mean score for the girls.
Total marks scored on test = 30 x 7.5 = 225
Marks for girls x 7.8 = 100.2
Mean for girls /14 = 7.2 (1 dp) 
7.8 ?
7.2
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