# GCSE Non-Calculator Questions 2 (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

Work out:

5 + 7 x 3

Write down the value of the 3 in the number

70308

Estimate the following to the nearest whole number

√65

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

17     19     20     25     27     32     33     37

17

19

20

25

27

32

33

37

Work out:

25% of 76

Work out:

¾ of 124

Write the following number to the nearest thousand:

7489

Work out:

 7 x 2 8 3

Here is a cuboid.

Write down the number of edges.

Work out:

62 - 23

Select all the factors of

18

0

1

2

3

4

5

6

9

18

36

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

## Column B

5x - 3x
2x
3 × 5x
15x
15x ÷ 3
8x
5x + 3x
5x

When a = 3 and b = -1, work out the value of:

4a + 7b

Factorise:

6a - 12

Place these numbers in order of size, starting with the largest:

1/2       0.6       0.45       1/3

## Column B

1 (largest)
1/2
2
1/3
3
0.6
4 (smallest)
0.45

O   O         O   O   O   O   O

There are 2 red balls and  5 blue balls in a bag.

What is the probability of choosing a blue ball when you select one at random?

2/5

2/7

5/7

5/2

Identify the type of correlation shown in each scatter graph below.

A                               B                                  C

## Column B

A
no correlation
B
negative correlation
C
positive correlation

Solve:

4x - 8 = 28

(Just write the value of x)

These two triangles are similar.

State the missing length in cm.

(Just write the number)

Expand and simplify:

3(2x + 3) - 6(x - 3)

Triangle ABC is right-angled.

Calculate the size of x°.

(Just write the number)

Here is a recipe to make pastry for a pie that serves 6 people:

300 g flour

¼ teaspoon salt

150 g butter

4 tablespoons water

How much butter will be needed to make pastry for a pie that will serve 9 people?

Here is a diagram of Kate's garden.

She wants to sow grass seed to make a lawn covering the whole garden shown.

Each bag of grass seed contains enough seed to cover an area of 30 m2.

A bag of grass seed costs £7.50.

How much does Kate spend in pounds to sow her lawn with grass seed?

(Just write the number)

The marks of 20 children in a maths test are represented on a Stem and Leaf Diagram as shown below.

Work out the median mark.

 Stem Leaf 0 7   7   9 1 1   2   4   4   4   4   7 2 1   3   3   3   9 3 0   4   5 4 4   8

ABCD is a square of side 12 cm.

M is the midpoint of BC.

T is a point on AB such that AT = 1/3 AB.

Calculate the area of the coloured region DTMC in cm2.

(Just write the number)

• Question 1

Work out:

5 + 7 x 3

26
EDDIE SAYS
Multiplication takes priority so 7 × 3 = 21
5 + 21 = 26
• Question 2

Write down the value of the 3 in the number

70308

300
EDDIE SAYS
3 in the hundreds column
• Question 3

Estimate the following to the nearest whole number

√65

8
EDDIE SAYS
8² = 64
• Question 4

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

17     19     20     25     27     32     33     37

17
19
37
EDDIE SAYS
17, 19 and 37 only have two factors, 1 and the number itself.
• Question 5

Work out:

25% of 76

19
EDDIE SAYS
25% is ¼
76 ÷ 4 = 38 ÷ 2 = 19
• Question 6

Work out:

¾ of 124

93
EDDIE SAYS
¼ of 124 = 31
¾ of 124 = 3 × 31 = 93
• Question 7

Write the following number to the nearest thousand:

7489

7000
EDDIE SAYS
7489 is between 7000 and 8000, but closer to 7000.
• Question 8

Work out:

 7 x 2 8 3

7/12
EDDIE SAYS
Reduce within the fractions to get:

 7 × 1 4 3

Then multiply the top numbers and the bottom numbers in turn.
• Question 9

Here is a cuboid.

Write down the number of edges.

12
EDDIE SAYS
An edge is where two faces meet.
There are 4 at the front, 4 at the back and 4 connecting the front and the back.
• Question 10

Work out:

62 - 23

28
EDDIE SAYS
6² = 6 × 6 = 36
2³ = 2 × 2 × 2 = 8
• Question 11

Select all the factors of

18

1
2
3
6
9
18
EDDIE SAYS
18 × 1
9 × 2
6 × 3
• Question 12

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

## Column B

5x - 3x
2x
3 × 5x
15x
15x ÷ 3
5x
5x + 3x
8x
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 = -1, work out the value of:

4a + 7b

5
EDDIE SAYS
4 × 3 + 7 × -1 = 12 + -7 = 12 - 7 = 5
• Question 14

Factorise:

6a - 12

6(a-2)
EDDIE SAYS
6 is the highest common factor of 6 and 12.
Divide both terms by 6 to find the terms which go inside the brackets.
• Question 15

Place these numbers in order of size, starting with the largest:

1/2       0.6       0.45       1/3

## Column B

1 (largest)
0.6
2
1/2
3
0.45
4 (smallest)
1/3
EDDIE SAYS
Change them all to hundredths before comparing.

0.50    0.60    0.45    0.333...
• Question 16

O   O         O   O   O   O   O

There are 2 red balls and  5 blue balls in a bag.

What is the probability of choosing a blue ball when you select one at random?

5/7
EDDIE SAYS
There are 5 blue balls out of 7 balls in total.
• Question 17

Identify the type of correlation shown in each scatter graph below.

A                               B                                  C

## Column B

A
positive correlation
B
negative correlation
C
no correlation
EDDIE SAYS
Positive correlation shows the points going from bottom left to top right.
Negative correlation shows the points going from top left to bottom right.
Graph C shows no correlation as the points are scattered all over.
• Question 18

Solve:

4x - 8 = 28

(Just write the value of x)

9
EDDIE SAYS
Add 8 to both sides to get:
4x = 36
Divide both sides by 4 to get:
x = 9
• Question 19

These two triangles are similar.

State the missing length in cm.

(Just write the number)

21
EDDIE SAYS
The lengths in the larger triangle are 3 times the matching lengths in the smaller similar triangle.
• Question 20

Expand and simplify:

3(2x + 3) - 6(x - 3)

27
EDDIE SAYS
Multiply out the brackets to get:
6x + 9 - 6x + 18

The x terms cancel out to leave:
9 + 18 = 27
• Question 21

Triangle ABC is right-angled.

Calculate the size of x°.

(Just write the number)

12
EDDIE SAYS
∠ADB = 180° - 90° - 40° = 50°
∠CDB = 180° - ∠ADB = 180° - 50° = 130°
x° = 180° - 130° - 38° = 50° - 38° = 12°
• Question 22

Here is a recipe to make pastry for a pie that serves 6 people:

300 g flour

¼ teaspoon salt

150 g butter

4 tablespoons water

How much butter will be needed to make pastry for a pie that will serve 9 people?

225g
225 g
EDDIE SAYS
9 ÷ 6 = 1½
150 × 1½ = 150 + half of 150 = 150 + 75 = 225
• Question 23

Here is a diagram of Kate's garden.

She wants to sow grass seed to make a lawn covering the whole garden shown.

Each bag of grass seed contains enough seed to cover an area of 30 m2.

A bag of grass seed costs £7.50.

How much does Kate spend in pounds to sow her lawn with grass seed?

(Just write the number)

45
EDDIE SAYS
Area of trapezium = ½(20 + 12) × 10 = 16 × 10 = 160 m²
160 ÷ 30 = 16 ÷ 3 = 5 and a third.
6 bags are needed costing 6 × 7.50 = £45
• Question 24

The marks of 20 children in a maths test are represented on a Stem and Leaf Diagram as shown below.

Work out the median mark.

 Stem Leaf 0 7   7   9 1 1   2   4   4   4   4   7 2 1   3   3   3   9 3 0   4   5 4 4   8

19
EDDIE SAYS
With 20 people, we are looking for the 10th and 11th mark when placed in order. These are 17 and 21, the mean of which is 19.
• Question 25

ABCD is a square of side 12 cm.

M is the midpoint of BC.

T is a point on AB such that AT = 1/3 AB.

Calculate the area of the coloured region DTMC in cm2.

(Just write the number)

96
EDDIE SAYS
Area of whole square = 12 × 12 = 144 cm²
AT = 12 ÷ 3 = 4 cm and so BT = 8 cm
Area Δ ATD = ½ × 4 × 12 = 24 cm²
Area Δ TBM = ½ × 8 × 6 = 24 cm²
Blue area = 144 - 24 - 24 = 96 cm²
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