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
Last year, the following number of people went to visit Leonardo Da Vinci's Last Supper:
Three hundred and two thousand, five hundred and thirtyseven.
(Write this number in figures)
The diagram shows a protractor correctly positioned to measure the angle shown.
What is the size of the acute angle shown below.
Unlikely
Impossible
Certain
Likely
Even Chance
Match the words above to describe the likelihood of these five situations happening.
Column A  Column B 
There will be 100 days in December.  Certain 
It will snow in Italy next August.  Unlikely 
The next baby born in England will be a girl.  Even Chance 
I will get at least one head if I throw a coin 100...  Likely 
The sun will set tonight.  Impossible 
Use a calculator to work out
the square root of 7.29
Work out:
¾ of 128
Pens cost £1.35 each.
Ann has £20 to spend on pens. She buys the greatest number possible.
Work out the number of pens Ann buys.
Solve:
2y  5 = 12
Calculate the area of the trapezium shown below in cm^{2}.
(Just write the number)
Write down the value of
14^{2}
Write down the value of
4^{3}
From this list of number, match the answers.
15 17 19 21 23 25
Column A  Column B 
the smallest prime number  17 
The largest prime number  25 
A square number  21 
A multiple of 7  23 
Round this number to 2 significant figures:
18742
Calculate the following, giving your answer to 2 decimal places:
18.9 x 2.331
Ahmed goes on holiday to Italy and changes £750 into euros (€) before he goes.
The exchange rate is £1 = €1.12.
In Italy, he spends €480 euros and brings the remaining euros home.
He changes these euros back into pounds.
The exchange rate is now £1 = €1.20.
How much money in pounds does he get back?
(Just write the number)
Simplify
5a + 8b  2a + b
(Do not leave spaces in your answer)
Calculate the area of the following shape made of rectangular pieces.
Give your answer in m^{2}.
(Just write the number)
The Triangle ABC is isosceles.
Calculate the angle marked a°.
Calculate the length of the side BC in cm in the following triangle.
(Just write the number to 2 decimal places)
Here is a sign showing the prices for using a car park.
CAR PARK £1.75 for the first hour £1.25 for each hour after 
Jane pays £9.25 to park.
For how many hours does she park?
(Just write the number)
Match the most suitable measurement to each item.
Column A  Column B 
Mass of a drawing pin  56cm 
Mass of an apple  56m 
Height of a bus  100g 
Height of a table  4.4m 
Height of Tower of Pisa  1g 
Use trial and improvement to find a solution to the equation
x^{3}  2x = 31
The first step is shown below.
Give the solution to 1 decimal place
x  x^{3}  2x  Comment 

3  3^{3}  2×3 = 27  6 = 21  too small 
Find the volume of the following cuboid in cm^{3} to the nearest whole number.


(not drawn accurately) 
a = 14 cm
b = 8.2 cm
c = 6.5 cm
(Just write the number)
Factorise
6x + 10y
(Do not leave spaces when you type your answer)
The maximum daytime temperatures in ºC on 9 British summer days were as follows.
Work out the mean maximum temperature in ºC to 1 decimal place.
(Just write the number)
18, 17, 19, 18, 20, 15, 17, 18, 16
My garden consists of a rectangular lawn with a circular pond, as shown below.
Calculate the area of grass in m^{2} to 3 significant figures.
(Just write the number)
Last year, the following number of people went to visit Leonardo Da Vinci's Last Supper:
Three hundred and two thousand, five hundred and thirtyseven.
(Write this number in figures)
The diagram shows a protractor correctly positioned to measure the angle shown.
What is the size of the acute angle shown below.
Unlikely
Impossible
Certain
Likely
Even Chance
Match the words above to describe the likelihood of these five situations happening.
Column A  Column B 
There will be 100 days in Decembe...  Impossible 
It will snow in Italy next August...  Unlikely 
The next baby born in England wil...  Even Chance 
I will get at least one head if I...  Likely 
The sun will set tonight.  Certain 
Use a calculator to work out
the square root of 7.29
Work out:
¾ of 128
Pens cost £1.35 each.
Ann has £20 to spend on pens. She buys the greatest number possible.
Work out the number of pens Ann buys.
Solve:
2y  5 = 12
Calculate the area of the trapezium shown below in cm^{2}.
(Just write the number)
Write down the value of
14^{2}
Write down the value of
4^{3}
From this list of number, match the answers.
15 17 19 21 23 25
Column A  Column B 
the smallest prime number  17 
The largest prime number  23 
A square number  25 
A multiple of 7  21 
Round this number to 2 significant figures:
18742
Calculate the following, giving your answer to 2 decimal places:
18.9 x 2.331
Ahmed goes on holiday to Italy and changes £750 into euros (€) before he goes.
The exchange rate is £1 = €1.12.
In Italy, he spends €480 euros and brings the remaining euros home.
He changes these euros back into pounds.
The exchange rate is now £1 = €1.20.
How much money in pounds does he get back?
(Just write the number)
Simplify
5a + 8b  2a + b
(Do not leave spaces in your answer)
Calculate the area of the following shape made of rectangular pieces.
Give your answer in m^{2}.
(Just write the number)
The Triangle ABC is isosceles.
Calculate the angle marked a°.
Calculate the length of the side BC in cm in the following triangle.
(Just write the number to 2 decimal places)
Here is a sign showing the prices for using a car park.
CAR PARK £1.75 for the first hour £1.25 for each hour after 
Jane pays £9.25 to park.
For how many hours does she park?
(Just write the number)
Match the most suitable measurement to each item.
Column A  Column B 
Mass of a drawing pin  1g 
Mass of an apple  100g 
Height of a bus  4.4m 
Height of a table  56cm 
Height of Tower of Pisa  56m 
Use trial and improvement to find a solution to the equation
x^{3}  2x = 31
The first step is shown below.
Give the solution to 1 decimal place
x  x^{3}  2x  Comment 

3  3^{3}  2×3 = 27  6 = 21  too small 
Find the volume of the following cuboid in cm^{3} to the nearest whole number.


(not drawn accurately) 
a = 14 cm
b = 8.2 cm
c = 6.5 cm
(Just write the number)
Factorise
6x + 10y
(Do not leave spaces when you type your answer)
The maximum daytime temperatures in ºC on 9 British summer days were as follows.
Work out the mean maximum temperature in ºC to 1 decimal place.
(Just write the number)
18, 17, 19, 18, 20, 15, 17, 18, 16
My garden consists of a rectangular lawn with a circular pond, as shown below.
Calculate the area of grass in m^{2} to 3 significant figures.
(Just write the number)
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