1. Non Calculator Tests
Second Year

2. Non Calculator – Test 1
List all the factors of 24 and 30.
Find the highest common factor.
2. Solve the equation 5x – 6 = 14.
3. Find 4% of £60.
4. Find ¾ of 36
5. Simplify the expression 5(2x-1) + 3(x+6)
6. From the set of numbers {-2,-1,0,1,2,3,4}.
Choose the numbers which satisfy 2x > 1
7. Write down all the multiples of 11 between 80 and 120.
8. List all the factors of 80.
9. If x = 4 find the value of 2x2.
10. What is the size of the angle between the hands of a clock at 4pm ?
Find the mean of the numbers
5,6,6,7,7,7,8,8,9,9
12. Place these numbers in order of size smallest first.
80 , -45 , -54 , -2.5 , -1.8 , 2.5

3. Question
Solutions – Test 1 1
hcf = 6 2
x = 4 3
₤2.40 4 27 5
13x + 13 6
1 , 2 , 3 and 4 7
88 , 99 , 110 8
1,2,4,5,8,10,16,20,40,80 9 32 10
120° 11 12
7.2
-54,-45,-2.5,-1.8,2.5,80

4. 2. The square shown has an area of 400cm2.
Non Calculator – Test 2
1. List all the factors of 36.
2. The square shown has an area of 400cm2.
Find the perimeter of the square.
3. Find 17½% of £200.
4. Simplify the expression x(2x+7) + 2x(x-4)
5. Write down all the prime numbers between 50 and 70.
6. Solve the inequation -4x 12
7. The perimeter of the rectangle shown is 84 cm.
Make an equation and find x.
8. Find the value of 43 – 34
9. Round of the number to
a) 1 decimal place b) 4 significant figures
10. If x = 4 find the value of
400
x + 10 6

5. Question
Solutions – Test 2 1
1,2,3,4,6,9,12,18,36 2
Perimeter = 80cm 3
₤35 4
4x2 - x 5
53 , 59 , 61 , 67 6 7
x = 26 8
-17 9
34.8 , 10
1/2

6. 1. Write 84% as a fraction in its simplest form.
Non Calculator – Test 3
1. Write 84% as a fraction in its simplest form.
2. Express cm3 in litres.
3. A ship leaves a port and sails west.
What is the three-figure bearing of the ship from the port?
4. Simplify the expression 4x(x-2) + 2x(x+4)
What is the median of the numbers
5,8,4,4,3,1,9,6,7
6. Solve the equation 5x – 6 = 2x + 16
Calculate the area of the triangle shown.
8. Which of these numbers is a prime number
51, 71, 91
9. Evaluate – (-6) + (-2)
10. If y = 4, find the value of 15 – y2
13cm
12cm
5cm

7. Question
Solutions – Test 3 1
21/25 2
245 litres. 3
270° 4
6x2 5
median = 5 6
x =7.33 7
30 cm2 8
71 is a prime number. 9 -1 10

8. Non Calculator – Test 4
1. What is the highest common factor of 12 and 18 ?
2. Solve the equation x + (-7) = 5.
3. Write 0.8 as a fraction in its simplest form.
4. Write down the multiples of 12 between 50 and 100.
5. Solve the inequation 2x – 7 > 5
6. The perimeter of a square is 6cm. Find the area of the square.
7. Evaluate –
8. How many Mars Bars costing 16p each can you buy for £1 ?
Evaluate -11 – ( -13)
10. Find of 120
11. Find the mode of the numbers 4,7,5,6,3,4,2,4,9,8,4,4
12. Evaluate 5¼ - 1¾

9. Question
Solutions – Test 4 1 6 2
x = 12 3
4/5 4
60 , 72 , 84 and 96 5
x>6
2.25 cm2 7
3.1 8
6 mars bars 9 10 80 11 12
Mode = 4 3½

10. Non Calculator – Test 5 1. List all the factors of 50.
2. The square shown has an area of 100cm2.
Find the area of the square whose side is twice the length of the side
of the square shown.
3. A teacher earns £18000 pa.
If he receives a 2% pay rise find his new annual salary.
4. Solve the equation 17x = 12x + 50
5. List the first three (non zero) common multiples of 5 and 6.
6. Evaluate -20 – (-45)
7. The perimeter of the rectangle shown is 50 cm.
Make an equation and find x.
8. An equilateral triangle has a perimeter of 135cm.
Find the length of the side of the triangle.
Round of the number to
a) 2 significant figures b) 4 significant figures
10. If x = 3 find the value of 2x3
100
x + 6 4

11. Question
Solutions – Test 5 1
1,2,5,10,25,50 2
400cm2 3
₤18360 4
x = 10 5
30 , 60 and 90 6 25 7
x = 15 8
45cm 9
27000 and 26750 10 54

12. 2. How many cm are there in 25½ meters ?
Non Calculator – Test 6
Write as a percentage.
2. How many cm are there in 25½ meters ?
State the 3 figure bearing of a ship from a port if the
ship is sailing in a north westerly direction.
4. Evaluate
5. A television set is on sale in a shop at £420.
A discount of 25% is being offered on the set.
Find the sale price of the set.
Solve the equation
7. Find the size of angle x
8. Simplify the expression 5x – 8y + 7x + 9y
9. Write down a formula for the nth term of the sequence
4,7,10,13,16,19,22, - - -
10. Find the value of when x = -2.
96º x

13. Question
Solutions – Test 6 1
60% 2
2550cm 3
315° 4 52 5
₤315 6
x = 35 7
x = 42° 8
12x + y 9
3n + 1 10
1/2

14. 1. What is the lowest common multiple of 10 and 8 ?
Non Calculator – Test 7
1. What is the lowest common multiple of 10 and 8 ?
2. Solve the equation 2x - (-7) = 9.
3. Write 0.42 as a fraction in its simplest form.
4. Evaluate 103 – 202
5. A man has £3000 in the bank. The interest rate is 4% per annum.
Find his interest after 1 year.
6. What is the angle between the hands of a clock at 2pm?
Evaluate
Find the size of angle x in the rectangle shown.
9. Which is the largest (-2)2 or (-2)3
10. Find the value of x in
the isosceles triangle shown
74º x 2x 4x

15. Question
Solutions – Test 7 1 40 2
x = 1 3
21/50 4
600 5
₤120 6
120° 7
29.8 8
148° 9
(-2)2 is the largest 10
18°

16. Non Calculator – Test 8
1. List all the multiples of 9 between 100 and 130.
2. The perimeter of a rectangle is 120cm. The length is twice the breadth.
Find the length and the breadth and hence find the area of the rectangle.
3. A teacher earns £24000 per annum. If the teacher is given a
3% pay rise find the new annual salary.
4. In the sequence shown find the values of x and y.
23 , 42 , 61 , x , y , 118 , 137 , - - -
5. List the factors of 24 and 30. State the highest common factor.
6. Solve the inequation 6 – x < 4
Find the size of angle x in the diagram shown.
8. Find the value of 2.52
9. If 10% of a sum of money is £3768, find the sum of money.
10. Round off the number to 1 significant figure. x
114º
47º

17. Question
Solutions – Test 8 1
108 , 117 , 126 2
20cm, 40cm, 800cm2 3
₤24720 4
80 and 99 5
hcf = 6 6
x > 2 7
67° 8
6·25 9
₤37680 10
30000

18. Non Calculator – Test 9 Write down the general term of the sequence
8 , 11 , 14 , 17 , 20 ,
Hence find the 45th term.
2. Evaluate 40 –
3. A discount of 20% is given in a sale on a computer costing £600.
Find the sale price of the computer.
4. Solve the equation 6(x + 4) = 5x + 30
List the prime numbers between 40 and 60.
Find
7. Find the value of 25 – 33
Calculate the mean of the numbers
14 , 15 , 12 , 18 , 21
Round of the number to
a) 2 decimal places b) nearest whole number
10. In a triangle the angles are x , x + 40 and 72º respectively.
Make an equation and find x.

19. Question
Solutions – Test 9 1
3n + 5 ; 140 2 3
₤480 4
x = 6 5
41 , 43 , 47 , 53 , 59 6 48 7 8
mean = 16 9
a) 3·14 b) 3 10
34°

20. Non Calculator – Test 10
1. Write the number 40 as a product of prime factors.
2. There are estimated to be rabbits on an island.
Numbers are expected to rise by 2% next year.
How many rabbits will there be next year.
3. Simplify the expression (2x-1) + 2(x-5)
4. Find the mode of the numbers
3,6,5,8,4,5,8,7,5,3,5,6,5,3,4
5. List the factors of 100.
Solve the inequation 2(x-3) > 1
If 5 bottles of wine cost £28 what would 4 bottles cost?
8. If x = 10 find the value of 100 – 4x2
9. A ship leaves a port and sails in a south westerly direction.
What is the three-figure bearing of the ship from the port?
10. Write 56% as a fraction in its simplest form.

21. Question
Solutions – Test 10 1 2
24480 rabbits 3
8x - 8 4
mode = 5 5
1,2,4,5,10,20,25,50,100 6
x>3.5 7
₤22.40 8
-300 9
Bearing = 225° 10
14/25

22. Non Calculator – Test 11
1. Write 36% as a fraction in its simplest form.
2. Express 2.65 litres in cubic centimeters.
3. Solve the equation 4x – 7 = x + 8
4. Find the value of 3y – 4x , if y = 13 and x = 15
5. Find 5% of £800.
Write down the multiples of 8 that lie between 90 and 110.
7. I buy a watch for £500 and sell it a week later for £400.
Find the percentage loss.
8. Which of these numbers is a prime number
38 , 58 , 31
Evaluate 9 × ( -2 )2
10. A square has an area of 64cm2.
Find the perimeter of the square.

23. Question
Solutions – Test 11 1
9/25 2
2650cm3 3
x = 5 4
-21 5
₤40 6
96 , 104 7
20% 8 31 9 36 10
32cm

24. Non Calculator – Test 12
1. Place in order of size smallest first % ; ;
Calculate the area of the triangle shown
3. A ship leaves a port and sails 50 miles North.
It then turns and sails 50 miles East.
What is the bearing of the ship from the port?
4. Evaluate –
5. If 4 books cost £13 ,what would 5 books cost?
6. Solve the equation 5.6x = 2.6x + 18
7. Which numbers from the set {-1,0,1,2,3,4,5,6}
satisfy the inequation 4x-2 <5
8. Simplify the expression 12t – 7u – 11t + 8u
The shapes shown
have the same area.
Find the value of x
10. Find the value of when x = 4.
7cm
24cm
8cm x
12cm
5cm

25. Question
Solutions – Test 12 1
3/10 ; 40% ; 0·42 2
84cm2 3
045° 4 5
₤16·25 6
x = 6 7
{-1 , 0 , 1} 8
t + u 9
x = 7·5 10

26. 2. If x = -2 find the value of 3x2
Non Calculator – Test 13
1. Evaluate (-5) 2
2. If x = -2 find the value of 3x2
3. Simplify the expression 4(2x-1) + 3(1-2x)
4. Write down all the factors of 64.
5. The perimeter of a rectangle is 40cm.
If the length is 3 times the breadth find the
dimensions of the rectangle.
6. The area of the square shown is 900cm2.
Find the perimeter of the square.
7. The angles in a triangle are 44º, x and x + 56º.
Make an equation and find x.
8. Find 3% of £67
9. Evaluate ½ of (14¼ - 9¾)
10. Solve the equation 4x – 7 = x + 11
900cm2

27. Question
Solutions – Test 13 1 40 2 12 3
2x - 1 4
1,2,4,8,16,32,64 5
15cm by 5cm 6
120cm 7
x = 40° 8
₤2·01 9 2¼ 10
x = 6

28. Non Calculator – Test 14
Write as a percentage.
2. How many cm3 are there in 8½ liters?
3. Determine the mean of the numbers
8 , 5 , 8 , 7 , 4 , 9 , 3 , 5 , 5 , 5 ,
4. Evaluate
5. A nurse earns £15000 per annum.
If she is given a 6% pay rise, find her new annual salary.
6. Solve the equation 12x = 5x + 63
7. Simplify the expression 12p – 5q + 10p – 3q
8. If x = -3, find the value of 10 – 4x
9. Write down a formula for the nth term of the sequence
12 , 14 , 16 , 18 , 20 ,
10. If 12 bottles of wine cost £156, what
would 9 bottles of the same wine cost?

29. Question
Solutions – Test 14 1
20% 2
8500cm3 3
5·9 4
-28 5
₤15900 6
x = 9 7
22p – 8q 8 22 9
2n + 10 10
₤117

30. Non Calculator – Test 15
1. What is the highest common factor of the numbers 20 and 30?
A car costs £ In a sale it is reduced by 20%.
Find the sale price of the car.
Solve the equation 5.4x = 2.x + 27
4. Simplify the expression 5x(x+4) + 2x(10-x)
5. Write down all the prime numbers between 90 and 110.
6. Solve the inequation -2x
7. The area of the rectangle shown is 48 cm2.
Make an equation and find x.
8. Find the value of 53 – 43
9. Round of the number to
a) 2 decimal place b) 6 significant figures
10. If x = -2 , find the value of
x + 7 4

31. Question Solutions – Test 15 1 hcf = 10 2 ₤12800 3 x = 9 4 3x2+ 40x 597 6
x less than or equal to -3 7
x = 5 8 61 9
56·58 ; 56·5793 10

32. Non Calculator – Test 16
1. Write the number 60 as a product of prime factors.
2. What is the 3-figure bearing of a ship from a port
if the ship is sailing south from the port?
3. Simplify the expression 12x – 5y + 4(2x+3y)
4. Find the mode of the numbers
5,6,3,5,4,6,7,5,8,7,3,5,6,7
Find of 450
6. If x = -3 and y = -6, find the value of 12 –xy
7. The house shown has gone up in value from £200,000 to £250,000
Calculate the % increase in the value of the house.
8. Solve the equation 5(2x-3) = 3(2x+1)
9. What is the lowest common multiple of 12 and 8?
10. Evaluate 12.6 –

33. Question
Solutions – Test 16 1
60= 2
180° 3
20x + 7y 4
mode = 5 5
360 6 -6 7
25% 8
x = 4·5 9 24 10
1·2

34. 2. A ship sails 65 miles east then turns and sails 65 miles south.
Non Calculator – Test 17
1. Find the value of (-4)2 × 5
2. A ship sails 65 miles east then
turns and sails 65 miles south.
What is the 3 figure bearing of the ship from the port?
Write as a percentage.
4. Find the median of the numbers
4,7,5,6,9,3,4,5,7,6,8
Find of 380
6. Solve the equation 10x = 18 + x
Find the size of angle x in the rectangle shown.
8. Which numbers from { -4,-3,-2,-1,0,1,2,3}
satisfy the inequation
9. Put these numbers in order of size smallest first
(-4)2 , , (-2)3 , (-3)3
10. Simplify the expression -4t + 7m –3t –8m
37º x

35. Question
Solutions – Test 17 1 80 2
135° 3
80% 4
Median = 6 5 95 6
x = 2 7
74° 8
{1,2,3} 9
-27 , -16 , -8 , 16 10
-7t - m

36. 1. Write 24% as a fraction in its simplest form.
Non Calculator – Test 18
1. Write 24% as a fraction in its simplest form.
2. Express 2.45 metres in centimeters.
3. Solve the equation 4x – 7 = 2x + 1
If 6 books cost £12.90, what
would 5 of the same type of book cost?
5. What is the highest common factor of the numbers 40 and 50?
6. Write 0.55 as a fraction in its simplest form.
Calculate the area of the triangle shown.
8. Which of these numbers is not a prime number
53 , 63 , 71
9. Solve the equation 2x – (-5) = 5
10. If t= -2 find the value of 10 – 2t2
25cm
24cm
7cm

37. Question
Solutions – Test 18 1
6/25 2
245cm 3
x = 4 4
₤10.75 5 10 6
11/20 7
84cm2 8
63 is not a prime number 9
x = 0

38. Non Calculator – Test 19
What is the lowest common multiple of the
numbers 12 and 10?
2. A Doctor earns £32000 per annum.
If he receives a 4% pay rise find his new annual salary.
Write as a percentage.
Write the number 52 as a product of prime factors.
Find of £120
Solve the inequation 2(x+5)
7. If 20% of a number is 35, find the number.
8. Find the value of 203 – 103
9. Simplify the expression 5(1-2x) + 6(2x–1)
In an isosceles triangle one of the angles is 44º and a
second angle is x. Find two different possible values for x.

39. Question Solutions – Test 19 1 2 ₤33280 3 35% 4 2.2.13 5 ₤48 6 7 175 8x 7
175 8
7000 9
2x - 1 10
68° or 92°

40. Non Calculator – Test 20
1. Evaluate × 4
2. Express 3250 cm3 in litres.
3. Solve the equation 5x = 2(2x+7)
Find the value of 2x2 +3x when x = 5
5. Evaluate –5 –(-9) + (-2)
6. Write down all the factors of 56.
7. I buy a camera for £160 and sell it a month later for £120.
Find the percentage loss.
8. List all the prime numbers less than 20.
Find the mean of the numbers
21,22,23,24,25,26,27
10. Solve the inequation 12 – x > 15

41. Question
Solutions – Test 20 1
32·5 2
3·25 Litres 3
x = 14 4 65 5 6
1,2,4,7,8,14,28,56 7
25% loss 8
2,3,5,7,11,13,17,19 9 24 10
x < -3

42. Non Calculator – Test 21
1. List the multiples of 15 between 20 and 70.
2. If x = 3 find the value of x2 – 2x
List all the factors of 50.
4. Find the median of the numbers 2,6,4,5,1,7,6,3,6,2
5. Simplify x(x – 3) + 3(2 + x)
Find the LCM of 12 and 9.
7. Write correct to 2 decimal places.
List all the prime numbers between 50 and 60.
9. Evaluate 122 – 102
10. Solve the equation 5x – 3 = 27

43. Question
Solutions – Test 21 1
30 , 45 , 60 2 3
1,2,5,10,25,50 4
4·5 5
x2 + 6 6 36 7
6·40 8
53 , 59 9 44 10
x = 6

44. Non Calculator – Test 22
1. The perimeter of a rectangle is 34cm.
The length is 4 more than the breadth.
Let the breadth be x. Make an equation and find x.
2. Write 32% as a fraction in its simplest form.
Solve the equation 6x – 3 = 4x + 13
4. Evaluate 5 – (-3) – (-2)
5. If x = 6 calculate the value of 2x2.
Evaluate –
7. Find ¼ of ₤9
Write 0.45 as a fraction in its simplest form.
Evaluate
10. Find the mode of the numbers 3,7,2,2,4,5,3,5,6,3

45. Question
Solutions – Test 22 1
x = 6·5 2
8/25 3
x = 8 4 10 5 72 6
0·1 7
₤2·25 8
9/20 9 5½
mode = 3

46. 2 The perimeter of a square is 48cm. Calculate the area of the square.
Non Calculator – Test 23
1 Simplify 4(2x + 3) + 3(4 – 3x)
2 The perimeter of a square is 48cm.
Calculate the area of the square.
3 Solve the equation x + (-9) = -4
4 List the multiples of 12 between 100 and 150.
5 Calculate 25% of ₤84
6 Find the LCM of 7 and 9.
7 Calculate the area of the triangle shown.
8 Round off the number to 2 significant figures.
9 Write as a percentage.
10 Evaluate
13cm
12cm
5cm

47. Question
Solutions – Test 23 1
24 - x 2
144cm2 3
x = 5 4
108 , 120 , 132 , 144 5
₤21 6 63 7
30cm2 8
24000 9
90% 10
13·1

48. Non Calculator – Test 24
Write down the next 3 terms in the sequence
0.8 , 4 , 20 , 100 , - , - , -
2 A ship leaves port and sails in a SW direction.
What is the 3 figure bearing of the ship from the port?
3 An isosceles triangle has angles x, x and 4x.
Calculate the size of the largest angle.
4 Solve the equation 6x – 5 = 37
Calculate the value of 3.52.
6 If 25% of a sum of money is ₤67, find the sum of money.
Calculate the mean of the numbers shown.
11 , 13 , 15 , 15 , 16
8 Write the number 50 as a product of prime numbers.
I buy a car for £5000 and sell it a year later for £4000.
Calculate the % loss.
A square has an area of 121cm2.
Calculate the perimeter of the square.

49. Question
Solutions – Test 24 1
500 , 2500 , 12500 2
225° 3
120° 4
x = 7 5
12·25 6
£268 7 14 8
2×5×5 9
20% loss 10
44cm

50. Non Calculator – Test 25 1 The square shown has a perimeter of 6cm.
Calculate the area of the square.
2 A ship leaves port and sails in a SW direction.
What is the 3 figure bearing of the port from the ship?
3 The perimeter of an equilateral triangle is 29cm.
Calculate the length of a side giving your answer correct to 2 decimal places.
4 Solve the inequation 4x + 5 > -3
5 Evaluate -25 –(-35)
6 How many cm are there in 6½ km.
7 The average of 10 numbers is What is the sum of the 10 numbers?
Write the number correct to 2 decimal places.
9 I have just been given a 50% pay rise and I now earn £30000.
How much did I earn before the pay rise?
10 Simplify (2x-5) + 2(x-2)
AREA

51. Question
Solutions – Test 25 1
2·25cm2 2
215° 3
9·67cm 4
x > -2 5 10 6
650000cm 7
Sum = 235 8
0·70 9
₤26666·67
10x - 21

52. Non Calculator – Test 26 1. Evaluate -5 (-10) (-2)
2. If x = -5, find the value of 2x2
Simplify the expression 2 +3(2x-1) + 5(1-2x)
4. Write down all the factors of 100.
5. The perimeter of a rectangle is 80cm.
If the length is 4 times the breadth find the length of the rectangle.
Round off the number to 3 significant figures
7. The angles in a triangle are 20º, x and x + 64º.
Make an equation and find x.
Find 1½ % of £68
How many Mars Bars costing 25p each can you buy for £25.
10. Solve the equation 10x = 4x + 84

53. Question
Solutions – Test 26 1
-100 2 50 3
2 – 4x 4
1,2,4,5,10,20,25,50,100 5
8cm 6 7
x = 48° 8
₤1·02 9
100 mars bars 10
x = 14

54. Non Calculator – Test 27 Write as a percentage.
2. How many cm are there in meters ?
3. Evaluate (-6)2 + (-5)2
Evaluate
5. A video recorder is on sale in a shop at £360.
A discount of 10% is being offered on the set.
Find the sale price of the set
Solve the equation
Find the size of angle x
Simplify the expression 12x – 8y - 7x - 9y
9. Write down a formula for the nth term of the sequence
6,9,12,15,18,
10. Find the value of when x = 2.
104º x

55. Question
Solutions – Test 27 1
52% 2
825cm 3 61 4 10 5
₤324 6
x = 48 7
x = 38° 8
5x – 17y 9
3n + 3
2·5

56. Non Calculator – Test 28
1. List all the factors of 40 and 36. Find the highest common factor.
2. Solve the equation 0.5x + 4 = 14.
3. Find 2% of £600
Find ¾ of 64
Simplify the expression 5x(2x + 1) + 2x(6 – x)
6. From the set of numbers {-2,-1,0,1,2}.
Choose the numbers which satisfy -2x > 2
Write down all the multiples of 9 between 120 and 150.
8. List all the factors of 60.
If x = 5, find the value of 6x2.
10. What is the size of the angle between the hands of a clock at 3.30pm ?
Find the mean of the numbers 4,6,7,3,5,6,9,2
12. An apple and an orange cost 30p.
The apple cost twice as much as the orange.
Find the cost of 4 apples and 5 oranges.

57. Question
Solutions – Test 28 1
hcf = 4 2
x = 20 3
₤12 4 48 5
8x2 + 17x 6
{-2} 7
126 , 135 , 144 8
1,2,3,4,5,6,10,12,15,20,30,60 9
150 10
75° 11
5·25 12
₤1·30

58. Non Calculator – Test 29 1. List all the factors of 18.
2. The square shown has an area of 81cm2.
Find the area of the square whose side is twice the
length of the side of the square shown.
3. A discount of 8% is offered on a television in a sale.
If the television costs ₤400, what would the sale price be?
Solve the equation 40 = 2x – 12
List the first four (non zero) common multiples of 4 and 6.
Evaluate -3x + (-4x) + 7x
7. The perimeter of the rectangle shown is 60cm.
Make an equation and find x.
Find of 60
If x = 7 and y = -4, find the value of 4xy
10. Evaluate – 81
x + 5 3

59. Question
Solutions – Test 29 1
1,2,3,6,9,18 2
324cm2 3
₤368 4
x = 26 5
12,24,36,48 6 7
x = 22 8 48 9
-112 10
0·3

60. Non Calculator – Test 30 1. Evaluate (-4)2
If x = -3 , find the value of 2x2 + 3x
3. Evaluate 4% of 60.
Is 171 a prime number? If not, why not?
5. Write 0.84 as a fraction in its simplest form.
Solve the equation 9x = 4x + 35
7. The perimeter of an isosceles triangle is 48cm.
If one of the sides is 18cm long, find two possible
values for the other sides.
Express cm in kilometers.
Evaluate of ( )
10. Find the first prime number larger than 110.

61. Question
Solutions – Test 30 1 16 2 9 3
₤2.40 4
Number is divisible by 3 5
21/25 6
x = 7 7
18,18,12 and 18,15,15 8
2·45km
5/8 10
113

62. Non Calculator – Test 31
1. A ship leaves port and sails 50 miles East.
It then turns and sails 50 miles North.
What is the 3 figure bearing of the ship from the port?
2. Solve the inequation 4(2x-1) 8
3. An apple and an orange cost 26p. Two apples and an orange cost 41p.
What would an orange cost?
4. List the factors of 240.
5. Write 36 as a product of prime numbers.
6. Evaluate (-5) – (-6)
7. Write down the multiples of 12 which lie between 150 and 180.
8. Is 1053 a prime number? If not, why not?
9. Solve the equation 4(2x-3) = 7x +4
10. State the mode of the numbers 5,7,3,4,2,4,3,6,7,4,2,4

63. Question Solutions – Test 31 1 045 2 x 1.5 3 Orange = 11p 4 5 2 2 3 3
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,160,240 5 6 -3 7
156, 168 8
No, divisible by 3. 9
x = 16 10
mode = 4

64. Non Calculator – Test 32
1. Place in order of size largest first % ; ;
2. Calculate the area of the triangle shown
If of a sum of money is ₤125.54, find the sum of money.
4. Simplify the expression -4x + 7y – 2x – 3y
If 5 books cost £14 ,what would 1 book cost?
Write down the first three multiples of 11 greater than 100.
7. Which numbers from the set {-1,0,1,2,3,4,5,6} satisfy the inequation 2x -5 > 1
Calculate the mean of the numbers 14,17,12,13,16
The shapes shown have the same perimeter. Find the value of x
Find the value of when x = 4. Give your answer correct to 1 decimal place.
6cm
16cm
9cm
13cm
6cm

65. Question
Solutions – Test 32 1
As stated 2
48cm2 3
₤502·16 4
-6x + 4y 5
₤2·80 6
110 , 121 , 132 7
{4,5,6} 8
14·4 9
x = 10cm 10
1·8

66. Non Calculator – Test 33 1. List all the factors of 40.
2. Solve the equation 5(x-3) = 4x + 12
3. A discount of 5% is given on a car in a sale.
If the car costs ₤24000 normally, what would be the
price of the car in the sale?
4. Round off the number to a) 3 sig. figs. b) 1 sig. figure
5. A square has an area of 64 cm2. Find the perimeter of the square.
6. From the set of numbers {-5,-4,-3,-2,-1,0,1,2,3,4}
choose the numbers which satisfy x +3 < 2
7. Write down all the multiples of 9 between 100 and 130.
8. Find the value of 0.63
If y = 5 find the value of
10. What is the size of the angle between the hands of a clock at 2.30pm?
Find the median of the numbers 4,7,5,6,9,5,6,7,2,7,8
12. Place these numbers in order of size smallest first.
-2 , (-2)2 , (-2)3 , (-2)4

67. Question
Solutions – Test 33 1
1,2 4,5,8,10,20,40 2
x = 27 3
₤22800 4
a) b) 5
32cm 6
{-5,-4,-3,-2} 7
108,117,126 8
0·216 9
2·5 10
105° 11
Median = 6 12
-8 , -2 , 4 , 16

68. Non Calculator – Test 34
What is the lowest common multiple of 12 and 9?
Solve the equation 2x + (-7) = -3
Write 0.64 as a fraction in its simplest form.
Evaluate 25 – 23
Find his interest after 1 year on a sum of ₤6000 if the interest rate is 8%.
What is the angle between the hands of a clock at 5.30pm?
Evaluate
Find the size of angle x in the rectangle shown.
9. Write 12% as a fraction in its simplest form.
10. Simplify the expression x(x + 2) + x(2 – x)
67º x

69. Question
Solutions – Test 34 1 36 2
x = 2 3
21/25 4 24 5
₤480 6
15° 7
20·4 8
x =46° 9
3/25 10 4x

70. Non Calculator – Test 35 1. Evaluate (-5)2 2
2. If x = -3 , find the value of 4x2
Write 0.55 as a fraction in its simplest form.
4. State the highest common factor of 24 and 18.
5. The perimeter of a rectangle is 60cm.
If the length is 2 times the breadth find the dimensions of the rectangle.
6. A ship leaves a port and sails south.
What is the 3 figure bearing of the port from the ship?
7. The angles in a parallelogram are 5x and 7x.
Find the size of the angles of the parallelogram.
8. Find 4% of £56000
Solve the inequation 4x – 3 > -6
10. An apple and an orange cost 35p.
Four apples and an orange cost 68p. Find the cost of the orange.

71. Question
Solutions – Test 35 1 50 2 36 3
11/20 4 6 5
20cm and 10cm
000° 7
75° and 105° 8
₤2240 9
x > -0·75 10
11p and 24p.

72. Non Calculator – Test 36 Find the value of (-4)3
2. A ship sails 40 miles west then turns and sails 40 miles north.
What is the 3 figure bearing of the ship from the port?
3. Write as a percentage.
4. Find the mode of the numbers 3,7,4,6,7,4,5,5,5,7,2,1,4,6,9,4
5. Simplify the expression 4x(2x + 3) + 3x(x – 4)
6. Solve the equation 12x = 33 + x
7. Find the size of angle x in the rectangle shown.
8. Evaluate – 3.9 – 4.7
9. Put these numbers in order of size smallest first (-2)2 , , (-2)3 , 8
10. If x = 3 and y = 5, find the value of x3 – y3
29º x

73. Question
Solutions – Test 36 1
-64 2
315° 3
52% 4
Mode = 4 5
11x2 6
x = 3 7
58° 8
4·2 9
-8 , -4 , 4 , 8 10
-98