Formula Sheet
Foundation Tier
Area of trapezium = ½ (a + b) h
Volume of prism = area of crosssection x length
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:
Formula Sheet
Foundation Tier
Area of trapezium = ½ (a + b) h
Volume of prism = area of crosssection 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 lefthanded 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 righthanded?
(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
Solve the following equation for a:
a  =  15 
3 
(Just write the value of a)
Write down the value of
14.5^{2}
Which is the largest of these numbers?
4^{3} 3^{4} 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.
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?
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
(Do not leave spaces in your answer)
Select the fractions which are equivalent to:
¾
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)
Calculate the perimeter of the following triangle in cm.
(Just write the number to 1 decimal place)
Multiply out:
4(5  2y)
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)
Use trial and improvement to find a solution to the equation:
x^{2}  4x = 3
The first step is shown below.
(Give the solution to 1 decimal place)
x  x^{2}  4x  Comment 

5  5^{2}  4×5 = 25  20 = 5  too large 
Find the surface area of the following cuboid in cm^{2}.


(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 10^{th} 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.
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 lefthanded 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 righthanded?
(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
Solve the following equation for a:
a  =  15 
3 
(Just write the value of a)
Write down the value of
14.5^{2}
Which is the largest of these numbers?
4^{3} 3^{4} 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.
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?
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
(Do not leave spaces in your answer)
Select the fractions which are equivalent to:
¾
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)
Calculate the perimeter of the following triangle in cm.
(Just write the number to 1 decimal place)
Multiply out:
4(5  2y)
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)
Use trial and improvement to find a solution to the equation:
x^{2}  4x = 3
The first step is shown below.
(Give the solution to 1 decimal place)
x  x^{2}  4x  Comment 

5  5^{2}  4×5 = 25  20 = 5  too large 
Find the surface area of the following cuboid in cm^{2}.


(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 10^{th} 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.
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