# GCSE Calculator Questions 3 (2013/Foundation Tier)

This worksheet contains a sample of practice questions based on the 2013 GCSE Foundation Level syllabus. Calculators may be used.

Key stage:  KS 4

Curriculum topic:  GCSE Practice Papers

Curriculum subtopic:  Selection of Topics for 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

Reading the scale shown on the measuring jar, write down the liquid level in ml.

(Just write the number)

Find the perimeter in cm of this shape drawn on centimetre spotty paper.

(Just write the number)

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24
Left 4 10 14
Total 28   70

Complete the table before answering the question.

What is the probability that a girl chosen at random is right-handed?

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

Work out:

√10.24

Work out:

12% of 128

Amy goes to Italy.

The exchange rate is £1 = €1.15.

She exchanges £250 into euros.

How many euros does she get?

(Just write the number correctly as an amount of money)

Solve:

4y - 5 = 12

y = 8½

y = 1¾

y = 4½

y = 4¼

Solve the following equation for a:

 a = 15 3

(Just write the value of a)

Write down the value of

14.52

Which is the largest of these numbers?

43       34       34       43

43

34

34

43

Bill hired a skip from a local Hire Company.  The cost is calculated using this formula:

Total Charge = £55 plus £15 per day

The total charge was £220.

Work out the number of days for which Bill hired the skip.

Round this number to 2 significant figures:

8275.2

Two phone contract options are shown below:

Option 1

£32 Monthly Charge.

300 free minutes and 150 free texts.

Option 2

£35 Monthly Charge.

350 free minutes and 100 free texts.

On average, Jack makes 400 minutes of calls and sends 200 texts.

Which option should he choose?

option 1

option 2

no difference

Two parallel lines and a line crossing them are shown below.

Wwrite down the value of angle b.

(Just write the number)

Simplify:

3a + 2b - 2a + 2b

Select the fractions which are equivalent to:

¾

6/8

6/9

12/15

12/16

15/20

21/32

A rectangle ABCD is shown on the coordinate axes below.

It is translated using the vector below to form rectangle A'B'C'D'.

Write down the coordinates of A'.

Calculate the perimeter of the following triangle in cm.

(Just write the number to 1 decimal place)

Multiply out:

4(5 - 2y)

45 - 42y

20 - 8y

20 - 2y

9 - 8y

A rocket travels at a constant speed of 962 mph.

How far does it travel in 4 hours at this speed.

(Just write the number)

Use trial and improvement to find a solution to the equation:

x2 - 4x = 3

The first step is shown below.

(Give the solution to 1 decimal place)

x  x2 - 4x  Comment
5  52 - 4×5 = 25 - 20 = 5  too large

 Find the surface area of the following cuboid in cm2. (not drawn accurately)

a = 14 cm

b = 8.2 cm

c = 6.5 cm

(Just write the number)

A number sequence begins as follows:

6     11     16     21     26     31

Write down the 10th term.

The shoe sizes of 9 children are as follows.

Work out the mean shoe size.

8,  7,  9,  8,  6,  7,  4,  8,  6

ABC is an isosceles triangle.

PQRS is a rectangle.

The triangle and the rectangle have the same perimeter.

Work out the length of PQ.

• Question 1

Reading the scale shown on the measuring jar, write down the liquid level in ml.

(Just write the number)

400
EDDIE SAYS
1 litre = 1000 ml
• Question 2

Find the perimeter in cm of this shape drawn on centimetre spotty paper.

(Just write the number)

14
EDDIE SAYS
The distance around the edge is 14 cm.
• Question 3

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24
Left 4 10 14
Total 28   70

Complete the table before answering the question.

What is the probability that a girl chosen at random is right-handed?

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

16/21
EDDIE SAYS
The total of right-handers is 70 - 14 = 56
So the number of right-handed girls is 56 - 24 = 32
The total number of girls is 32 + 10 = 42
32/42 reduces to 16/21
• Question 4

Work out:

√10.24

3.2
EDDIE SAYS
Use the Square Root (√) button on the calculator.
• Question 5

Work out:

12% of 128

15.36
EDDIE SAYS
On your calculator, work out 128 ÷ 100. This gives one percent of 128.
Multiply by 12 to get 12%.
• Question 6

Amy goes to Italy.

The exchange rate is £1 = €1.15.

She exchanges £250 into euros.

How many euros does she get?

(Just write the number correctly as an amount of money)

287.50
EDDIE SAYS
250 × 1.15 = 287.5
Money amounts always have 2 decimal places, so this is 287.50 euros.
• Question 7

Solve:

4y - 5 = 12

y = 4¼
EDDIE SAYS
4y - 5 = 12

Add 5 to both sides to get
4y = 17

Quarter both sides to get
y = 4¼
• Question 8

Solve the following equation for a:

 a = 15 3

(Just write the value of a)

45
EDDIE SAYS
Multiply both sides by 3 to get:
3 × 15 = 45
• Question 9

Write down the value of

14.52

210.25
EDDIE SAYS
This is 14.5 squared or 14.5 × 14.5
• Question 10

Which is the largest of these numbers?

43       34       34       43

34
EDDIE SAYS
43 = 4 × 4 × 4 = 64
34 = 3 × 3 × 3 × 3 = 81
• Question 11

Bill hired a skip from a local Hire Company.  The cost is calculated using this formula:

Total Charge = £55 plus £15 per day

The total charge was £220.

Work out the number of days for which Bill hired the skip.

11
EDDIE SAYS
220 - 55 = 165
165 ÷ 15 = 11 days
• Question 12

Round this number to 2 significant figures:

8275.2

8300
EDDIE SAYS
8275.2 is nearer to 8300 than to 8200.
• Question 13

Two phone contract options are shown below:

Option 1

£32 Monthly Charge.

300 free minutes and 150 free texts.

Option 2

£35 Monthly Charge.

350 free minutes and 100 free texts.

On average, Jack makes 400 minutes of calls and sends 200 texts.

Which option should he choose?

option 1
EDDIE SAYS
Option 1
£32 + 100 × £0.05 + 50 × £0.10 = 32 + 5 + 5 = £42

Option 2
£35 + 50 × £0.04 + 100 × £0.06 = 35 + 2 + 6 = £43
• Question 14

Two parallel lines and a line crossing them are shown below.

Wwrite down the value of angle b.

(Just write the number)

105
EDDIE SAYS
Angle a corresponds to the 75° angle.
b = 180 - 75 = 105
• Question 15

Simplify:

3a + 2b - 2a + 2b

a+4b
EDDIE SAYS
Collect the a terms to get: 3a - 2a = a
Collect the b terms to get: 2b + 2b = 4b
• Question 16

Select the fractions which are equivalent to:

¾

6/8
12/16
15/20
EDDIE SAYS
Multiply top and bottom by 2 to get 6/8
Multiply top and bottom by 4 to get 12/16
Multiply top and bottom by 5 to get 15/20
• Question 17

A rectangle ABCD is shown on the coordinate axes below.

It is translated using the vector below to form rectangle A'B'C'D'.

Write down the coordinates of A'.

(5,4)
EDDIE SAYS
A moves 5 units to the left and 2 up.
• Question 18

Calculate the perimeter of the following triangle in cm.

(Just write the number to 1 decimal place)

21.5
EDDIE SAYS
Using Pythagoras' Theorem, BC² = 3² + 9² = 9 + 81 = 90

BC = √90 = 9.4868....≅ 9.5
Perimeter = 3 + 9 + 9.5 = 21.5 cm
• Question 19

Multiply out:

4(5 - 2y)

20 - 8y
EDDIE SAYS
Each term inside the bracket is multiplied by 4.
• Question 20

A rocket travels at a constant speed of 962 mph.

How far does it travel in 4 hours at this speed.

(Just write the number)

4000
EDDIE SAYS
962 × 4 = 3848 miles ≅ 4000 miles
• Question 21

Use trial and improvement to find a solution to the equation:

x2 - 4x = 3

The first step is shown below.

(Give the solution to 1 decimal place)

x  x2 - 4x  Comment
5  52 - 4×5 = 25 - 20 = 5  too large

4.6
EDDIE SAYS
4² - 4×4 = 0 too small
4.5² - 4×4.5 = 2.25 too small
4.7² - 4×4.7 = 3.29 too large
4.6² - 4×4.6 = 2.76 too small
4.65² - 4×4.65 = 3.0225 too large
So answer lies between 4.6 and 4.65, which will give a solution of 4.6 to 1 decimal place.
• Question 22
 Find the surface area of the following cuboid in cm2. (not drawn accurately)

a = 14 cm

b = 8.2 cm

c = 6.5 cm

(Just write the number)

518.2
EDDIE SAYS
Area of top face = 14 × 8.2 = 114.8 cm²
Area of bottom face = 14 × 8.2 = 114.8 cm²
Area of left face = 6.5 × 8.2 = 53.3 cm²
Area of right face = 6.5 × 8.2 = 53.3 cm²
Area of front face = 14 × 6.5 = 91 cm²
Area of back face = 14 × 6.5 = 91 cm²
Total surface area = 114.8 + 114.8 + 53.3 + 53.3 + 91 + 91 = 518.2
• Question 23

A number sequence begins as follows:

6     11     16     21     26     31

Write down the 10th term.

51
EDDIE SAYS
There is a gap of 5 between each term.
• Question 24

The shoe sizes of 9 children are as follows.

Work out the mean shoe size.

8,  7,  9,  8,  6,  7,  4,  8,  6

7
EDDIE SAYS
The total is 63
63 ÷ 9 = 7
• Question 25

ABC is an isosceles triangle.

PQRS is a rectangle.

The triangle and the rectangle have the same perimeter.

Work out the length of PQ.

10
EDDIE SAYS
Perimeter of ABC = x + 5 + x + 5 + 8 = 2x + 18

Perimeter of PQRS = x - 1 + x - 1 + 2PQ = 2x - 2 + 2PQ

2x - 2 + 2PQ = 2x + 18
2PQ - 2 = 18
2PQ = 20
PQ = 10
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