# GCSE Maths Paper Three (Foundation) Practice Paper in the Style of AQA - Calculator

In this assessment, students will be able to complete a timed GCSE Mathematics Paper 3 (Calculator) in the style of AQA

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA

Curriculum topic:   Foundation Practice Papers

Curriculum subtopic:   Calculator Practice Papers

Difficulty level:

### QUESTION 1 of 10

In this assessment, students will be able to complete a timed GCSE Mathematics Paper 3 (Calculator) in the style of AQA

We would recommend for this paper that you work through the assessment online and for the questions that are worth more than one mark you write your answers on paper to show your working.

For each question, the marks awarded for each section are written next to the questions and look like this [4]

You should aim for 1 minute per mark

The timer is set for 90 minutes for this practice paper, although you can keep working after the timer has run out.

If you are struggling to answer a question do not waste time on it, but move onto the next question.

Disclaimer:

We have no affiliation to AQA and these questions represent our own unique content developed by EdPlace GCSE authors.

None of the content displayed here has been supplied by AQA or any other third party suppliers.

Round 3786 to the nearest 100.

[1]

3790

3700

3800

4000

Which of these options are multiples of 7 that are between 52 and 64?

[1]

54

56

61

64

Which of the following options is correct when you convert 1.2 m into mm?

[1]

12

120

1200

12000

Here is a list of numbers, select all the numbers that are square numbers.

1      3     8     15     25     37

[1]

1

3

8

15

25

37

Write 36% as a decimal

[1]

An ordinary, fair dice is thrown once.

(a) On the probability scale shown below, mark with a cross (x) the probability the dice lands on a prime number.

(b) Write down the probability that the dice lands on a number less than 3?

[2]

There are four types of a counter in a bag.

The table shows the number of each type of counter in the bag.

 Type Blue Spheres Red Spheres Red Cubes Blue cubes Number 28 14 31 12

There are more cubes than spheres. How many more?

[2]

(a) Find the value of √(4.84 x 2.25)     [1]

(b) Find the value of (4.35 – 1.14)2 + 1.213    [2]

Simplify 2a – 5b + 3a + 2b

[2]

AB is a straight line

Angle Y is 4 times the size of angle x

Find the size of angle y

[3]

In a school year group, there are a combination of boys and girls.

There are 84 boys in the year group

72% of the year group is girls

How many students are in the year group?

[3]

Andy, Bill and Charlie share some sweets in the ratio 1:3:2

What fraction of the sweets does Charlie get?

[2]

In a triangle, the biggest angle is six times the smallest angle. The other angle is 28 degrees smaller than the largest angle.

Show that the largest angle is 96°

[5]

Here is a four sided spinner.

The probability of each outcome from the spinner are shown in the table.

 Number 1 2 3 4 Probability 0.3 0.1 0.4

The spinner is spun once.

(a) What is the probability the spinner lands on 3?       [1]

(b) Which number is the spinner most likely to land on?    [1]

If I spin the spinner 200 times.

(c) how many times would I expect to get the number 2?    [2]

The total hire charge, in pounds (£) for hiring a car is given by...

Total Charge (£) = Number of days x 60 + 100

Zach wants to hire a car for 5 days.

(a) Work out the total hire charge.      [2]

Simon hires a car. The total charge is £700

(b) How many days did Simon hire the car for?  [2]

Fred has hired a storage container to store his belongings while he moves house.

He will use boxes of the following size to store his belongings.

The storage container is 3m wide, 4.5 m deep and 3m tall.

Fred wants to fill the container.

He can put six boxes a minute into the container.

Assuming the container is in the shape of a cuboid,

(a) Work out how long it will take Fred (in minutes) to fill the container.   [4]

(b) The container may not be in the shape of a perfect cuboid. How will this affect the time it takes to fill the storage container.   [1]

Work out

[2]

Rearrange a = 3b + 4 to make b the subject.

[2]

(a) On a number line, show the inequality x ≥ -2

– 1 ≤ y < 5       [2]

(b)Write down all the possible values of y.      [2]

(c) Solve 5x + 3 ≤ 3x + 7         [3]

Solve

[3]

Solve the simultaneous equations

3x + 2y = 9

4x – 3y = 3.5

[3]

(a) Complete this table of values for y = x2 + 2x – 1          [2]

 x -4 -3 -2 -1 0 1 2 y 7 -1 2

(b) On the grid, draw the graph of y = x2 + 2x – 1        [2]

(c) Use the graph to estimate a solution to x2 +2x – 1 = 0           [1]

The diagram shows a rectangle ABCE and a triangle ADE

AB = 40 cm

BC = 15 cm.

ED:DC = 2:3

Work out the length of the line AD.

[4]

Prove that the difference between the squares of any two consecutive numbers is always an odd number.

[4]

A motorbike track consists of:

Two straight sections of length 1.8 km and 3 km

Two semicircles

The length of a motorbike race must be at least 110 km in length.

How many full laps must the race be held over at this circuit?

Solve the simultaneous equations.

2x + 3y = 26

3x – y = 6

[3]

• Question 1

Round 3786 to the nearest 100.

[1]

3800
EDDIE SAYS
The easiest way to do this is to count up and down until you get to a number with at least two zeros at the end. Counting up gets to 3800 Counting down gets to 3700 Which one is 3786 closest to?
• Question 2

Which of these options are multiples of 7 that are between 52 and 64?

[1]

56
EDDIE SAYS
Multiple just means 'times table'. The times table for 7 is 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 All you are looking for is one of the numbers to be between 52 and 64
• Question 3

Which of the following options is correct when you convert 1.2 m into mm?

[1]

1200
EDDIE SAYS
We need to look at conversion factors here m --> cm = x 100 cm --> mm = x 10 So to change m into mm, we have to...
• Question 4

Here is a list of numbers, select all the numbers that are square numbers.

1      3     8     15     25     37

[1]

1
25
EDDIE SAYS
We need to think about what a square number is here. It's a number that is the answer to a number multiplied by itself. Can you times the same number together to get 37? Can you times the same number together to get 25?
• Question 5

Write 36% as a decimal

[1]

0.36
EDDIE SAYS
What does the word percent mean? Out of, or divide by, 100.
• Question 6

An ordinary, fair dice is thrown once.

(a) On the probability scale shown below, mark with a cross (x) the probability the dice lands on a prime number.

(b) Write down the probability that the dice lands on a number less than 3?

[2]

EDDIE SAYS

• Question 7

There are four types of a counter in a bag.

The table shows the number of each type of counter in the bag.

 Type Blue Spheres Red Spheres Red Cubes Blue cubes Number 28 14 31 12

There are more cubes than spheres. How many more?

[2]

EDDIE SAYS

• Question 8

(a) Find the value of √(4.84 x 2.25)     [1]

(b) Find the value of (4.35 – 1.14)2 + 1.213    [2]

EDDIE SAYS

• Question 9

Simplify 2a – 5b + 3a + 2b

[2]

EDDIE SAYS

• Question 10

AB is a straight line

Angle Y is 4 times the size of angle x

Find the size of angle y

[3]

EDDIE SAYS

• Question 11

In a school year group, there are a combination of boys and girls.

There are 84 boys in the year group

72% of the year group is girls

How many students are in the year group?

[3]

EDDIE SAYS

• Question 12

Andy, Bill and Charlie share some sweets in the ratio 1:3:2

What fraction of the sweets does Charlie get?

[2]

EDDIE SAYS

• Question 13

In a triangle, the biggest angle is six times the smallest angle. The other angle is 28 degrees smaller than the largest angle.

Show that the largest angle is 96°

[5]

EDDIE SAYS

• Question 14

Here is a four sided spinner.

The probability of each outcome from the spinner are shown in the table.

 Number 1 2 3 4 Probability 0.3 0.1 0.4

The spinner is spun once.

(a) What is the probability the spinner lands on 3?       [1]

(b) Which number is the spinner most likely to land on?    [1]

If I spin the spinner 200 times.

(c) how many times would I expect to get the number 2?    [2]

EDDIE SAYS

• Question 15

The total hire charge, in pounds (£) for hiring a car is given by...

Total Charge (£) = Number of days x 60 + 100

Zach wants to hire a car for 5 days.

(a) Work out the total hire charge.      [2]

Simon hires a car. The total charge is £700

(b) How many days did Simon hire the car for?  [2]

EDDIE SAYS

• Question 16

Fred has hired a storage container to store his belongings while he moves house.

He will use boxes of the following size to store his belongings.

The storage container is 3m wide, 4.5 m deep and 3m tall.

Fred wants to fill the container.

He can put six boxes a minute into the container.

Assuming the container is in the shape of a cuboid,

(a) Work out how long it will take Fred (in minutes) to fill the container.   [4]

(b) The container may not be in the shape of a perfect cuboid. How will this affect the time it takes to fill the storage container.   [1]

EDDIE SAYS

• Question 17

Work out

[2]

EDDIE SAYS

• Question 18

Rearrange a = 3b + 4 to make b the subject.

[2]

EDDIE SAYS

• Question 19

(a) On a number line, show the inequality x ≥ -2

– 1 ≤ y < 5       [2]

(b)Write down all the possible values of y.      [2]

(c) Solve 5x + 3 ≤ 3x + 7         [3]

EDDIE SAYS

• Question 20

Solve

[3]

EDDIE SAYS

• Question 21

Solve the simultaneous equations

3x + 2y = 9

4x – 3y = 3.5

[3]

EDDIE SAYS

• Question 22

(a) Complete this table of values for y = x2 + 2x – 1          [2]

 x -4 -3 -2 -1 0 1 2 y 7 -1 2

(b) On the grid, draw the graph of y = x2 + 2x – 1        [2]

(c) Use the graph to estimate a solution to x2 +2x – 1 = 0           [1]

EDDIE SAYS

• Question 23

The diagram shows a rectangle ABCE and a triangle ADE

AB = 40 cm

BC = 15 cm.

ED:DC = 2:3

Work out the length of the line AD.

[4]

EDDIE SAYS

• Question 24

Prove that the difference between the squares of any two consecutive numbers is always an odd number.

[4]

EDDIE SAYS

• Question 25

A motorbike track consists of:

Two straight sections of length 1.8 km and 3 km

Two semicircles

The length of a motorbike race must be at least 110 km in length.

How many full laps must the race be held over at this circuit?

EDDIE SAYS

• Question 26

Solve the simultaneous equations.

2x + 3y = 26

3x – y = 6

[3]

EDDIE SAYS