GCSE Non-Calculator Questions 1 (2013/Foundation Tier)

This worksheet contains a sample of practice questions based on the 2013 GCSE Foundation Level syllabus. Calculators may not be used.

Key stage:  KS 4

Curriculum topic:  GCSE Practice Papers

Curriculum subtopic:  Selection of Topics for Non-Calculator Practice

Difficulty level:

QUESTION 1 of 10

Formula Sheet

Foundation Tier

Area of trapezium = ½ (a + b) h

Volume of prism = area of cross-section x length

Write as a decimal:

 7 50

Calculate:

71.1 ÷ 3

Work out:

 7 - 1 8 3

Work out:

8% of 120

Work out:

¾ of 132

Calculate:

√121

From this list of numbers, select all the cube numbers:

16     19     20     25     27     31     33     36

16

19

20

25

27

31

33

36

From this list of numbers, select all the prime numbers:

16     19     20     25     27     31     33     36

16

19

20

25

27

31

33

36

Here are some 3D shapes.

Write down the letter of the shape which is a cylinder.

 A B C D E

Here are some 3D shapes.

Write down the mathematical name of shape E.

 A B C D E

Here are some 3D shapes.

How many edges does shape B have?

 A B C D E

Simplify the following expressions and match the questions to the answers.

Column B

3a + 3a
3a
6a ÷ 3
6a
3 × 3a
2a
6a - 3a
9a

When a = 3 and b = 5, work out the value of:

4a + 7b

Work out:

 42 x 45 44

Place these decimals in order of size, starting with the smallest:

0.5       0.06       0.15       0.51

Column B

1 (smallest)
0.5
2
0.15
3
0.06
4 (largest)
0.51

The diagram below shows a rectangle ABCD.

Write down the equation of the mirror line.

x = 6

y = 6

x + y = 6

y = x + 6

The diagram below shows a rectangle ABCD.

Write down the coordinates of the reflection of point B in the mirror line.

(8, 8)

(10, 8)

(8, 10)

(10, 10)

The information below shows the prices of fruit and vegetables at a greengrocers.

How much will it cost to buy 3kg of potatoes, 1½ kg carrots, 12 kiwi and a cauliflower.

Solve:

3x + 8 = 29

(Just write the value of x)

△ABC is right-angled.

Work out the size of angle x in degrees.

(Just write the number)

Expand and simplify:

4(x - 5) - 2(x - 3)

6x + 14

6x - 26

2x - 26

2x - 14

Jamie buys rulers at £3.60 for a pack of 10.

He sells them at a 50% profit in order to raise money for charity.

He wants to raise £54 for charity.

How many packs of rulers should he buy?

Estimate the value of the following to 1 significant figure:

 596 6 + 1.982

Look at this spinner made of 8 evenly spaced sectors.

When Ann spins the spinner, what is the probability that it will land on a prime number?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

A circle of diameter 14 cm is shown in the diagram.

Work out the area of the circle.

196π cm²

14π cm

14π cm²

49π cm²

7π cm²

• Question 1

Write as a decimal:

 7 50

0.14
EDDIE SAYS
7/50 = 14/100 = 0.14
• Question 2

Calculate:

71.1 ÷ 3

23.7
EDDIE SAYS
Divide 711 by 3 to get 237 and adjust.
• Question 3

Work out:

 7 - 1 8 3

13/24
EDDIE SAYS
Change to 24ths to get:

 21 - 8 24 24
• Question 4

Work out:

8% of 120

9.6
EDDIE SAYS
1% of 120 = 1.2
8% of 120 = 8 × 1.2 = 9.6
• Question 5

Work out:

¾ of 132

99
EDDIE SAYS
¼ of 132 = 132 ÷ 4 = 33
¾ of 132 = 3 × 33 = 99
• Question 6

Calculate:

√121

11
EDDIE SAYS
11² = 121
• Question 7

From this list of numbers, select all the cube numbers:

16     19     20     25     27     31     33     36

27
EDDIE SAYS
3³ = 27
• Question 8

From this list of numbers, select all the prime numbers:

16     19     20     25     27     31     33     36

19
31
EDDIE SAYS
19 and 31 have only 2 factors each, 1 and the number itself.
• Question 9

Here are some 3D shapes.

Write down the letter of the shape which is a cylinder.

 A B C D E
D
EDDIE SAYS
D is a cylinder. It has a circular base and a uniform cross-section.
• Question 10

Here are some 3D shapes.

Write down the mathematical name of shape E.

 A B C D E
sphere
EDDIE SAYS
E is a sphere.
• Question 11

Here are some 3D shapes.

How many edges does shape B have?

 A B C D E
12
EDDIE SAYS
A cuboid has 12 edges.
• Question 12

Simplify the following expressions and match the questions to the answers.

Column B

3a + 3a
6a
6a ÷ 3
2a
3 × 3a
9a
6a - 3a
3a
EDDIE SAYS
When adding and subtracting, collect like terms.
When multiplying and dividing by numbers, just multiply and divide the numbers.
• Question 13

When a = 3 and b = 5, work out the value of:

4a + 7b

47
EDDIE SAYS
4 × 3 + 7 × 5 = 12 + 35 = 47
• Question 14

Work out:

 42 x 45 44

64
EDDIE SAYS
42 × 45 = 47

47 ÷ 44 = 43

43 = 4 × 4 × 4 = 4 × 16 = 64
• Question 15

Place these decimals in order of size, starting with the smallest:

0.5       0.06       0.15       0.51

Column B

1 (smallest)
0.06
2
0.15
3
0.5
4 (largest)
0.51
EDDIE SAYS
Change them all to hundredths before comparing.

0.50    0.06    0.15    0.51
• Question 16

The diagram below shows a rectangle ABCD.

Write down the equation of the mirror line.

y = 6
EDDIE SAYS
It cuts the y-axis at 6.
The y coordinate of all the points on this line is 6.
• Question 17

The diagram below shows a rectangle ABCD.

Write down the coordinates of the reflection of point B in the mirror line.

(8, 10)
EDDIE SAYS
The point B is 4 units below the mirror line.
Its reflection will be 4 units above the mirror line.
• Question 18

The information below shows the prices of fruit and vegetables at a greengrocers.

How much will it cost to buy 3kg of potatoes, 1½ kg carrots, 12 kiwi and a cauliflower.

£6.92
6.92
EDDIE SAYS
3kg of potatoes cost 3 × 0.85 = £2.55
1½kg of carrots cost 1.5 × 0.78 = £1.17
12 kiwi cost £2
1 cauliflower costs £1.20
• Question 19

Solve:

3x + 8 = 29

(Just write the value of x)

7
EDDIE SAYS
Subtract 8 from both sides to get:
3x = 21
Divide both sides by 3 to get:
x = 7
• Question 20

△ABC is right-angled.

Work out the size of angle x in degrees.

(Just write the number)

25
EDDIE SAYS
∠ADB = 180° - 90° - 40° = 50°
∠CDB = 180° - ∠ADB = 180° - 50° = 130°
x° = ½(180° - 130°) = 50° ÷ 2 = 25°
• Question 21

Expand and simplify:

4(x - 5) - 2(x - 3)

2x - 14
EDDIE SAYS
Multiply out the brackets to get:
4x - 20 - 2x + 6

Collect like terms to get:
2x - 14
• Question 22

Jamie buys rulers at £3.60 for a pack of 10.

He sells them at a 50% profit in order to raise money for charity.

He wants to raise £54 for charity.

How many packs of rulers should he buy?

30
EDDIE SAYS
50% of £3.60 = £1.80
So Jamie makes a profit of £1.80 for each pack of 10 which he sells.
£54 ÷ £1.80 = 30
• Question 23

Estimate the value of the following to 1 significant figure:

 596 6 + 1.982

60
EDDIE SAYS
1.98 is roughly 2
2² = 4 so the bottom of the fraction is roughly 6 + 4 = 10
The top of the fraction is roughly 600
600 ÷ 10 = 60
• Question 24

Look at this spinner made of 8 evenly spaced sectors.

When Ann spins the spinner, what is the probability that it will land on a prime number?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

1/2
EDDIE SAYS
There are 4 prime numbers 2, 3, 5 and 7 out of 8 numbers in total.
4/8 reduces to 1/2.
• Question 25

A circle of diameter 14 cm is shown in the diagram.

Work out the area of the circle.