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

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

'GCSE Maths Paper Three (Foundation) Practice Paper in the Style of Edexcel - Calculator' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel

Curriculum topic:   Foundation Practice Papers

Curriculum subtopic:   Calculator Practice Papers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

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

This is a mixture of single number and extended answer style assessment.

 

In the GCSE Examinations, you will have space given in the paper to write your answer.

At EdPlace you will input your answers online, however, we recommend that you also have paper to use for any workings out or diagrams that you may need to draw.  Marks are allocated for this information.  For this paper, you will need graph paper to work on.

 

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 Pearson EdExcel and these questions represent our own unique content developed by EdPlace GCSE authors.

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

 

Write 3786 to the nearest 100.

 

[1]

Give a multiple of 7 that is between 52 and 64

 

[1]

Change 1.2 m into mm

 

[1]

Here is a list of numbers, select down 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 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]

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

 

Work out the size of all the angles. 

 

[5]

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

 

What fraction of the sweets does Charlie get?

 

[2]

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]

You can use this rule to work out the total hire charge, in pounds (£) for hiring a car for a given number of days.

 

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 the value of…

 

 

Give your answer in standard form to 3 significant figures 

 

[2]

Make b the subject of a = 3b + 4 

 

[2]

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

– 1 ≤ y < 5

 

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

 

(c) Solve 5x + 3 ≤ 3x + 7       [3]

ξ = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

A = {Multiples of 3}

B = {Factors of 18}

 

(a) Complete the Venn diagram to represent this information     [4]

 

 

A number is chosen at random from the universal set ξ

(b) What is the probability the number is in the set AUB?    [2]

 

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]

ABC is a right-angled triangle

 

 

(a) Work out the size of angle CAB. 

Give your answer to 1 decimal place.       [2]

 

 

 

The length of side BC is increased by 2 cm

The length of AB stays the same

Triangle ABC is still right-angled.

 

(b) Will the value of tan CAB increase or decrease? Give a reason for your answer.       [1]

In the diagram A,B and C are three regular polygons.

 

 

Another regular polygon, X, is placed in the diagram.

Show that polygon X is a square.

 

[4]

Doris wants to paint a gas tank sat in her garden.

The gas tank is in the shape of a cylinder and she wants to paint all the sides including the top and bottom.

 

 

The gas tank has a diameter of 2.2 metres and a height of 1.3 metres.

 

Doris has 6 tins of paint that each cover 3.2 m2.

Does she have enough paint to cover the tank?

 

You must show how you got your answer.

 

[5]

Solve the simultaneous equations.

 

2x + 3y = 26

3x – y = 6 

 

[3]

 

  • Question 1

Write 3786 to the nearest 100.

 

[1]

CORRECT ANSWER
3800
3,800
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

Give a multiple of 7 that is between 52 and 64

 

[1]

CORRECT ANSWER
56
63
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

Change 1.2 m into mm

 

[1]

CORRECT ANSWER
1200
1200mm
1200 mm
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 down all the numbers that are square numbers.

 

1      3     8     15     25     37

 

[1]

CORRECT ANSWER
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]

CORRECT ANSWER
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]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 7

There are four types of 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]

CORRECT ANSWER
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]

CORRECT ANSWER
EDDIE SAYS

  • Question 9

Simplify 2a – 5b + 3a + 2b   

 

[2]

CORRECT ANSWER
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]

CORRECT ANSWER
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]

CORRECT ANSWER
EDDIE SAYS

  • Question 12

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

 

Work out the size of all the angles. 

 

[5]

CORRECT ANSWER
EDDIE SAYS

  • Question 13

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

 

What fraction of the sweets does Charlie get?

 

[2]

CORRECT ANSWER
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]

CORRECT ANSWER
EDDIE SAYS

  • Question 15

You can use this rule to work out the total hire charge, in pounds (£) for hiring a car for a given number of days.

 

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]

CORRECT ANSWER
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]

CORRECT ANSWER
EDDIE SAYS

  • Question 17

Work out the value of…

 

 

Give your answer in standard form to 3 significant figures 

 

[2]

CORRECT ANSWER
EDDIE SAYS

  • Question 18

Make b the subject of a = 3b + 4 

 

[2]

CORRECT ANSWER
EDDIE SAYS

  • Question 19

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

– 1 ≤ y < 5

 

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

 

(c) Solve 5x + 3 ≤ 3x + 7       [3]

CORRECT ANSWER
EDDIE SAYS

  • Question 20

ξ = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

A = {Multiples of 3}

B = {Factors of 18}

 

(a) Complete the Venn diagram to represent this information     [4]

 

 

A number is chosen at random from the universal set ξ

(b) What is the probability the number is in the set AUB?    [2]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 21

Solve the simultaneous equations                                                    

 

 3x + 2y = 9

4x – 3y = 3.5

 

[3]

CORRECT ANSWER
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]

CORRECT ANSWER
EDDIE SAYS

  • Question 23

ABC is a right-angled triangle

 

 

(a) Work out the size of angle CAB. 

Give your answer to 1 decimal place.       [2]

 

 

 

The length of side BC is increased by 2 cm

The length of AB stays the same

Triangle ABC is still right-angled.

 

(b) Will the value of tan CAB increase or decrease? Give a reason for your answer.       [1]

CORRECT ANSWER
EDDIE SAYS

  • Question 24

In the diagram A,B and C are three regular polygons.

 

 

Another regular polygon, X, is placed in the diagram.

Show that polygon X is a square.

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 25

Doris wants to paint a gas tank sat in her garden.

The gas tank is in the shape of a cylinder and she wants to paint all the sides including the top and bottom.

 

 

The gas tank has a diameter of 2.2 metres and a height of 1.3 metres.

 

Doris has 6 tins of paint that each cover 3.2 m2.

Does she have enough paint to cover the tank?

 

You must show how you got your answer.

 

[5]

CORRECT ANSWER
EDDIE SAYS

  • Question 26

Solve the simultaneous equations.

 

2x + 3y = 26

3x – y = 6 

 

[3]

 

CORRECT ANSWER
EDDIE SAYS

Try it ---- OR ----

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