1. Year 7, 2014
Exam revision ANSWERS

2. Tick off, when you have revised!
What’s in your Exam:
Number:
3.3 Rounding Numbers 
1.3 Arithmetic 
1.2 Averages and Range 
1.6 Long Multiplication and Division
1.5 Decimals 1 
2.2 Fractions 
4.1 Ratio & Proportion 
2.5 Percentages 
3.2 Orders of Operation 
3.1 Properties of Number 
3.4 Negative Numbers 
4.6 Metric and Imperial Units 
4.2 Decimals 
Algebra:
2.1 Number Machines 
1.1 Sequences 
2.4 Rules of Algebra 
4.3 Solving Equations 
2.3 Coordinates 
4.4 Straight Line Graphs 
Shape and space:
1.4 Area and Perimeter 
3.6 Calculating Angles 
5.2 Reflection 
5.1 Rotation 
5.3 Translation 
5.4 Construction 
3.5 3D Objects and Nets 
4.5 Solving Problems 

3. Rounding Round these numbers to the nearest 10: 1) 15 2) 34 3) 57
4) 121
5) 299
Round these numbers to the nearest 1 dp:
1) 15.21
2) 34.37
3) 57.59 4) 5)

4. Round these numbers to the nearest 10:
1) 15
2) 34
3) 57
4) 121
5) 299 20 30 60
120
300
Round these numbers to the nearest 1 dp:
1) 15.21
2) 34.37
3) 57.59 4) 5)
15.2
34.4
57.6
121.4
206.0

5. Arithmetic 1
19+35
55-11
39-12
126-17
319-21
678-99

6.
19+35
55-11
39-12
126-17
319-21
678-99
259
549
718
1126 54 44 27
109
298
579

7. Averages and Range

8. 7 21 6m
Blue
car 6
7.8 18 28
10.5 13
1.5
8cm
5m2

9. Multiplication and division:
12 x 13
62 x 9
199 x 9
505 x 5
31 x 30
715 ÷ 4
235 ÷ 5
48 ÷ 4
558 ÷ 9
14032 ÷ 8

10. 12 x 13
62 x 9
199 x 9
505 x 5
31 x 30
715 ÷ 4
235 ÷ 5
48 ÷ 4
558 ÷ 9
14032 ÷ 8
156
558
1791
2525
930
178.75 47 12 62
1754

11. Decimals 1: Arrange these in order smallest to biggest
1)0.21, 0.31, 0.12
2)0.15, 0.143, 0.2
3) 1.2, 0.12, 0.21, 1.12
4) 2.3, 2.03, 0.75, 0.8
5) £1.20, 75p, £0.8
Work out:
5+0.26

12. Arrange these in order smallest to biggest
1)0.21, 0.31, 0.12
2)0.15, 0.143, 0.2
3) 1.2, 0.12, 0.21, 1.12
4) 2.3, 2.03, 0.75, 0.8
5) £1.20, 75p, £0.8
0.12, 0.21, 0.31
0.143, 0.15, 0.2
0.12, 0.21, 1.12, 1.2
0.75, 0.8, 2.03, 2.3
75p, £0.8, £1.20
Work out:
5+0.26
5.26
2.128
40.554
24.4
8.26

13. Decimals 2:
5.1 x 2
9 x 0.074
0.3 x 4
4.23 x 10
0.427 x 100
8.42 ÷ 2
205.2 ÷ 6
89.2 ÷ 10
7 ÷ 1000
890.4 ÷ 10

14. 5.1 x 2
9 x 0.074
0.3 x 4
4.23 x 10
0.427 x 100
8.42 ÷ 2
205.2 ÷ 6
89.2 ÷ 10
7 ÷ 1000
890.4 ÷ 10
10.2
0.666
1.2
42.3
42.7
4.21
34.2
8.92
0.007
89.04

15. Harder (level 6 ) decimal questions
51 x 0.02
912 ÷ 0.12
5791 × 21.3
69.2 ÷ 13 (3dp)
1.02
7600
5.323

16. Harder (level 6 ) decimal questions
51 x 0.02
912 ÷ 0.12
5791 × 21.3
69.2 ÷ 13 (3dp)

17. Fractions 1: Work out what the “?” represents: 15 = ? 20 4
15 = ?
2) 8 = ? = ?
3) ? = 3 = 15 ?
4) ? = 3 = ?
5) 21 = ? = 7 ?

18. Work out what the “?” represents:
15 = ?
2) 8 = ? = ?
3) ? = 3 = 15 ?
4) ? = 3 = ?
5) 21 = ? = 7 ? 3
4, 2
9, 35
6, 15
45, 14

19. Fractions 2: Change the following to mixed numbers: 7/2 10/7 9/4
150/100
19/5
Change the following to improper fractions:
1 ¼
1 ⅓
2⅟5
8 3/7
3 1/10

20. Change the following to mixed numbers:
7/2
10/7
9/4
150/100
19/5
Change the following to improper fractions:
1 ¼
1 ⅓
2⅟5
8 3/7
3 1/10
3 ½
1 3/7
2 ¼
1 ½
3 4/5
5/4
4/3
11/5
59/7
31/10

21. Fractions 3: Find the given fractions of the numbers: 3/8 of £24
5/8 of 480cm
7/10 of 30g
5/9 of £108
5/8 of 64p
2/3 of 120cm
8/9 of 72litres
2/5 of 30p
2/3 of 30kg

22. Find the given fractions of the numbers:
5/8 of 480cm
7/10 of 30g
5/9 of £108
5/8 of 64p
2/3 of 120cm
8/9 of 72litres
2/5 of 30p
2/3 of 30kg £9
£27
300cm
21g
£60
40p
80cm
64litres
12p
20kg

23. Fractions 4: 1/5 + 2/5 1/6 + 4/6 9/10 – 3/10 12/15 – 5/15 ¼+ ½ 3/8 + ½
5/8 – ½
2/3 – 1/6
1/10 – 1/20
7/8 – 1/2

24. 1/5 + 2/5
1/6 + 4/6
9/10 – 3/10
12/15 – 5/15
¼+ ½
3/8 + ½
5/8 – ½
2/3 – 1/6
1/10 – 1/20
7/8 – 1/2
3/5
5/6
7/15
7/8
1/8
1/20
3/8

25. Fractions 5: Change these fractions to decimals and percentages ¼ ½
1/3
1/100
1/10
2/10
9/10
27/100
11/20
2/25

26. Change these fractions to decimals and percentages
1/3
1/100
1/10
2/10
9/10
27/100
11/20
2/25
0.25, 25%
0.5, 50%
, %
0.01, 1%
0.1, 10%
0.2, 20%
0.9, 90%
0.27, 27%
0.55, 55%
0.08, 8%

27. Ratios Write these ratios in the simplest form: 8:12 5:25 9:15 12:30
21:35
24:32
36:54
44:77
36:84
65:39

28. Write these ratios in the simplest form:
8:12
5:25
9:15
12:30
21:35
24:32
36:54
44:77
36:84
66:39
2:3
1:5
3:5
2:5
3:4
4:7
3:7
22:13

29. Ratios2: Divide the numbers into the ratios £18 into 1:2 £27 into 2:7

30. Divide the numbers into the ratios
£6 and £12
£6 and £21
£14 and £21
£18 and £24
£30 and £70

31. Percentages1 20% of £50 10% of £90 50% of £45 90% of £100 1% of £300
40% OFF £30
10% OFF $40

32. 20% of £50
10% of £90
50% of £45
90% of £100
1% of £300
5% of $100
60% 0f 60
30% of $40
40% OFF £30
10% OFF $40
£10 £9
£27.50
£90 £3 $5 36
$12
£18
$36

33. Percentages 2: Use a calculator to work out: 24% of £32 97% of 4000
35% of 400m
37% of £9.65
8% of £11.64
11% of 710km
6% of £406
18% of 28km
19% of £1120
12% of £24.52

34. Use a calculator to work out:
24% of £32
97% of 4000
35% of 400m
37% of £9.65
8% of £11.64
11% of 710km
6% of £406
18% of 28km
19% of £1120
12% of £24.52
£7.68
3880
140m
£3.57
£0.93
78.1km
£24.36
5.04km
£212.80
£2.94

35. Order of operations: 96 ÷ 4 – 4 9 + 26 ÷ 13 1 x 2 + 3 4 x 11 – 28 ÷ 7
Pg15 Questions
Order of operations:
96 ÷ 4 – 4
÷ 13
1 x 2 + 3
4 x 11 – 28 ÷ 7
13 x 11 – 4 x 8
30 – 9 x
(20-12) x (17 – 9)
(57 x 3)
(16 – 7) x 6
(2 x 5 x 3) ÷ (11-5)

36. 96 ÷ 4 – 4
÷ 13
1 x 2 + 3
4 x 11 – 28 ÷ 7
13 x 11 – 4 x 8
30 – 9 x
(20-12) x (17 – 9)
(57 x 3)
(16 – 7) x 6
(2 x 5 x 3) ÷ (11-5) 10 11 5 40
111 52 64
1172 54

37. Number properties1: Write all the factors of: 12 24 36 15 18
Write the first 5 multiples of: 4 7 9

38. Write all the factors of:12 24 36 15 18
Write the first 5 multiples of: 4 7 9
1,2,3,4,6,12
1,2,3,4,6,8,12,24
1,2,3,4,6,9,12,18,36
1,3,5,15
1,2,3,6,9,18
4,8,12,16,20
7,14,21,28,35
9,18,27,36,45
12,24,36,48,60
15,30,45,60,75

39. Choose the numbers that fall into the group written above the table
Choose the numbers that fall into the group written above the table. Unravel them to find the name of a county cricket team.
1: Prime Numbers 1 15 2 37 21 5 29 81 53 39 27 T L E S D X H C O
2: Cube Numbers 24 27 6 1
125 8 18
150 64
216 36 A E S R Y X U T
3: Triangular Numbers 3 9 10 1 16 18 25 15 21 12 6 D L H R S X U M E A
4: Powers of 2 6 1 20
100 8 12 64 27 30 62
256 P E L X N K A S H T

40. Negative numbers1: 6 + - 4 -3 + - 6 -4 – 1 8 – 13 -2 + 4 -3 - - 2

41.
-4 – 1
8 – 13
-2 + 4 2 -9 -5 -1 -3 -2
-10

42. Complete the table × -4 -3 -2 -1 1 2 3 4 -8
-16 -6 -9 9

43. – 4 x 1 = ___
– 4 x 2 = ___
– 4 x 3 = ___
– 4 x 4 = ___
Negative x Positive = _________
– 4 ÷ – 4 = 1
– 8 ÷ – 4 = ___
– 12 ÷ – 4 = ___
– 16 ÷ – 4 = ___
Negative ÷ Negative = ___________
4 x 1 = _4_
4 x 2 = ___
4 x 3 = ___
4 x 4 = ___
Positive × Positive = _________
4 ÷ 4 = 1
8 ÷ 4 = ___
12 ÷ 4 = ___
16 ÷ 4 = ___
Positive ÷ Positive = ___________

44. Unit conversions: Convert 12.5cm to inches.
The longest nose on a living person is 8.8cm. Convert this measurement to inches.
The largest bubble gum bubble blown has a diameter of 20.3 inches. Convert this measurement to centimetres.
Convert 51cm into feet.
The longest snake ever is 7.3m. Convert to feet. (Hint: convert 7.3m to centimetres first, then into feet)
Convert 6.5 feet into (i) cm (ii) m.
Convert the following into litres: 4 pints and 3 gallons
Convert the following into pints: 855 ml and 7 l
Convert the following into kilograms:4.4 pounds & 1 stone
Convert the following into kilometres:9 miles & 16.5 miles
Extension question I run a 10km race in 56 minutes. What is my average speed for the race in:
a) kilometres per minute b) miles per minute c) miles per hour

45. 12.5cm / 2.5 = 5 inches
8.8cm / 2.5 = 3.52 = 3.5 inches (1 dp)
20.3 inches x 2.5 = = 50.8cm (1 dp)
51cm / 30 = 1.7 feet
7.3m = 730cm. 730 / 30 = …. = 24.3 feet (1 dp)
(i) 6.5 feet x 30 = 195cm (ii)195 / 100 = 1.95m
4 pints / 1.75 = …. = 2.3 litres (1 dp) b) 3 gallons x 4.5 = 13.5 litres
855ml / 570 = 1.5 pints b) 7l x 1.75 = pints
4.4 pounds / 2.2 = 2 kg b) 1 stone = 14 pounds. 14 / 2.2 = … = 6.4 kg (1 dp)
9miles x 1.6 = 14.4 km b) 16.5 miles x 1.6 = 26.4 km
a) 10km / 56 minutes = … = 0.2 km per minute
b) 10 km / 1.6 = 6.25 miles miles / 56 minutes = … = 0.1 miles per minute
c) 60 mins in 1 hour … x 60 = …. = 6.7 miles per hour

46. Number machines

47. 6 25 11 40 2 6 5 15 25 11 18 6 27 60 1 2 7 2 8 22 9 18 7 4 17 25

48. Sequences Copy and complete the sequences: 1,3,5,?,9,? 2,4,?,8,10,?
3,?,9?,15,18,?
33,30,?,24,?
66,?,?,33,?,11
2?,8,?,14,17,?
8,?,18,?,28,?
Work out the next two terms and the term to term rule:
4,8,12,16
27,24,21,18
100,200,400,800
1,10,100,1000
0,250,500,750
812,712,612,512
318,338,358,378

49. Copy and complete the sequences:
1,3,5,?,9,?
2,4,?,8,10,?
3,?,9?,15,18,?
33,30,?,24,?
66,?,?,33,?,11
2?,8,?,14,17,?
8,?,18,?,28,?
Work out the next two terms and the term to term rule:
4,8,12,16
27,24,21,18
100,200,400,800
1,10,100,1000
0,250,500,750
812,712,612,512
318,338,358,378
7,11
6,12
6,12,21
27,21
55,44,22
5,11,20
13,23,33
20,24 +4
15,12 -3
1600,3200 x2
10000,100000, x10
1000,
412,
398,

53. Rules of Algebra

54. 4x 2x 4x 10x 10x 13x x+4 2x+2 3x + 1 4x+7 5x+5 3x+1 9x+5 8x+3 11x+7
4x+2y
x+2y
5x+y
10x+y
2x+2y
2x+9y
18x+5y+4
5x+6y+2
5x+8y+7
x+y+8
2x+3y+3
3x+5y+5

55. Rules of algebra

56. B = 12
B = 7
B = 5.5
s=4
s=7
s=6
d=220
F=30
F=48
F=6.5
m=6

57. Rules of Algebra

58. 37.6
50.2 8 20
7.5
1.22
1.25
0.83

59. Solving algebra

60. (x-11)÷5
2(x+7)
(3x+5) ÷4
3(10-x)
x÷3 + 5
x=70
x=6
x=67
x=65
x=40
x=5
x=40
x=30
x=12
x=64
x=36
x=100

61. Solving algebra

62. x+7
x+y
n-5
p-q
k-2
t+2

63. Graphs of Algebraic Equations
Linear Graphing X -4 -5 y -6 -3 3 6
These lines are v_________ and p_________
They pass through the x-axis at _____________________
x = -4
Complete each table or equation, plot the line on the graph and label it, then complete the missing words x 5 y -6 -3 3 6
x = 5 y 9 8 x -3 -2 -1 1 Y
y = -8 7 6 5 x -6 -3 3 6 y 4
y = __ 4 3
These lines are h____________ and p____________ They pass through the y-axis at _________________ 2 1 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 x -1 x -6 -3 3 6 y -4 2 -2
y = x + 2 -3 -4 x -6 -3 3 6 y -9
y = x - __ -5 -6
Adding a value to x moves the graph _____________ Subtracting a value from x moves it ______________ -7 -8 -9

64. Graphs of Algebraic Equations
Complete each table, then plot the points on the graph, complete the line and label it
y = 3x + 1 y x -2 -1 1 2 y 9 8 7
y = 2x - 1 6 5 x -2 -1 1 2 y 4 3 2
y = 5 – x 1 x 1 2 3 4 y -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 x -1 -2 -3
y = ½x - 3 -4 -5 x -2 -1 1 2 y -6 -7 -8 -9

65. Area and perimeter
Work out the perimeter of:

66. Work out the perimeter of:
38cm
46cm
38cm
42cm
45cm
36cm

67. Area and perimeter

68. 117m2
100m2
27cm2
72cm2
22cm2

69. Calculating Angles1:

70. Reflex
Obtuse
Right Angle
Obtuse
Obtuse
158o
356o
115o
211o

71. Calculating Angles2:
Calculate the angles marked with letters

72. Calculate the angles marked with letters
339o
85o
115o
115o
169o
47o
225o
65o
46o
50o
72o
26o

74. Identify two pairs of corresponding angles and two pairs of alternate angles in each diagram:
Find the missing angles:

75. Sum of angles in a polygon = (number of sides – 2) x 180
1: Find x and y
2: Find y:
Sum of angles in a polygon = (number of sides – 2) x 180

76. Calculating Angles3:
Copy and complete:

77. Copy and complete:
two
two no no
three
three 90
four
four 90
two
two
equal
parallel
four
four
two
two
equal
four
four
one
one
equal
four
four
two
two
perpendicular
equal

78. Calculating Angles4:

79. Reflection

80. B A D E C

81. Rotation:

82. 180o (1.5,3)
90o A/C (1,5)
90o A/C (3,3)
180o (3.5,4)

83. Symmetry

84. 1 2 4 6 2 1

85. Translation

86. 2 right and 3 up
6 right
2 left and 3 down
6 left
4 right and 2 up
2 left and 7 up
4 left and 2 down
2 right and 7 down

87. 3D Objects and Nets

88. 8 6 12

89. 3D shapes and nets

91. 3D shapes and nets

92. 15cm3
13cm3
11cm3
13cm3 10 2 20 20 2 40 8 3 24 16 3 48

93. Problem solving: 1.
The number FIVE as written using block capitals contains exactly 10 strokes or segments of a straight line. Find a number which when written out in words (using no tricks) contains as many strokes as the number says. 2.
There are two clocks. One of them gains 6 seconds in every hour, while the other loses 9 seconds in every hour. If they are both set to show the same time, and then set going, how long will it be before they are exactly 1 hour different? 3.
How many days is it from Wednesday the 1st August to the first Saturday in September? 4.
Find four consecutive odd numbers which add up to to a total of 80. 5.
What is the opposite of "NOT OUT"? 6.
When one particular number, written in figures, is turned upside down it increases in value by 21. Which number is that? 7.
A car has travelled 24,000 km and, in that distance, has worn out 6 tyres. Each tyre travelled the same distance. How far did each separate tyre travel? 8.
A man bought 50 metres of rope in a shop. He did not know it, but the metre-rule used to measure the rope was 1cm short. What length of rope did he actually get? 9.
Find two whole numbers which, when multiplied together give an answer of 41.
10.
If 6 cats can catch 6 rats in 6 minutes, how many cats are needed to catch 10 rats in 10 minutes?

94. Answers:
TWENTY NINE
240 hours
32 inclusive of both dates.
= 80
OUT!
68 (changes to 89)
4-wheeler 16,000 km each. 3-wheeler 12,000 km each.
49.5 metres
1 x 41
6 cats.

95. On this diagram you may start at any square and move up or down or across (but NOT diagonally) into the next square. No square may be used twice. The digits in each square are written down in the order they are used. What is the largest number that can be made?

96. How many acute angles can be found in this drawing?
The French Flag (known as the tricolour) is coloured  Red , White ,and Blue  in the way shown. Using the same three colours, how many different flags would it be possible to make?
6 acute angles, 6 flags (including one given)

97. Draw out a 3 by 3 grid like that shown
 Draw out a 3 by 3 grid like that shown. Place the numbers in it so that, when any line of three numbers is added up in any direction (including diagonally), the total is always 9
Arrange the numbers 1 to 9, using each one only once, placing only one number in each cell so that the totals in both directions ( up and down and across) are the same. How may different ways are there of doing this?

98. The diagram shows an equilateral triangle and an isosceles triangle.
Work out the size of the angle marked x.

99. Answer: