GCSE Foundation Tier Calculator Practice Exam Ques...
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  • Introduction
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Formula Sheet

Foundation Tier

  

                                      

Area of trapezium = ½ (a + b) h

 

 

Volume of prism = area of cross-section x length

  • Question 1
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Reading the scale shown on the measuring jar, write down the liquid level in ml.

(Just write the number)

 

  • Question 2
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Find the perimeter in cm of this shape drawn on centimetre spotty paper.

(Just write the number)

  • Question 3
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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)

  • Question 4
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Work out:

 

√10.24

  • Question 5
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Work out:

 

12% of 128

  • Question 6
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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)

  • Question 7
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Solve:

 

4y - 5 = 12

y = 8½

y = 1¾

y = 4½

y = 4¼

  • Question 8
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Solve the following equation for a:

 

a = 15
3

  

(Just write the value of a)

  • Question 9
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Write down the value of

14.52

  • Question 10
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Which is the largest of these numbers?

43       34       34       43

43

34

34

43

  • Question 11
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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.

  • Question 12
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Round this number to 2 significant figures:

 

8275.2

  • Question 13
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Two phone contract options are shown below:

 

Option 1

£32 Monthly Charge.

300 free minutes and 150 free texts.

Additional calls 5p per minute.  Additional texts 10p each.

 

Option 2

£35 Monthly Charge.

350 free minutes and 100 free texts.

Additional calls 4p per minute.  Additional texts 6p each.

 

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

Which option should he choose?

option 1

option 2

no difference

  • Question 14
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Two parallel lines and a line crossing them are shown below.

Wwrite down the value of angle b.

(Just write the number)

 

  • Question 15
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Simplify:

 

3a + 2b - 2a + 2b

 

(Do not leave spaces in your answer)

  • Question 16
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Select the fractions which are equivalent to:

¾

6/8

6/9

12/15

12/16

15/20

21/32

  • Question 17
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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'.

(Use brackets and a comma, but no spaces in your answer)

 

  • Question 18
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Calculate the perimeter of the following triangle in cm.

(Just write the number to 1 decimal place)

 

  • Question 19
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Multiply out:

 

4(5 - 2y)

45 - 42y

20 - 8y

20 - 2y

9 - 8y

  • Question 20
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A rocket travels at a constant speed of 962 mph.

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

Give your answer in miles to 1 significant figure.

(Just write the number)

  • Question 21
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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
     
     
     
     
     

 

  • Question 22
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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)

  • Question 23
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A number sequence begins as follows:

 

6     11     16     21     26     31

 

Write down the 10th term.

  • Question 24
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The shoe sizes of 9 children are as follows.

Work out the mean shoe size.

 

8,  7,  9,  8,  6,  7,  4,  8,  6  

  • Question 25
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ABC is an isosceles triangle.

PQRS is a rectangle.

 

The triangle and the rectangle have the same perimeter.

Work out the length of PQ.

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