# GCSE Maths Paper 1 (Component 1 - Foundation - Non Calculator) Practice Paper in the Style of Eduqas

In this assessment, students will be able to complete a timed GCSE Mathematics Paper 1(Component 1 - Foundation - Non Calculator) in the style of Eduqas

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Eduqas

Curriculum topic:   Foundation Practice Papers

Curriculum subtopic:   Non-Calculator Practice Papers

Difficulty level:

### QUESTION 1 of 10

In this assessment, you will complete a timed GCSE Mathematics Paper 1 (Component 1 - Non-Calculator - Foundation) in the style of Eduqas

This is an extended answer style assessment.

In the GCSE examinations, you will write your answers on the paper, however, at EdPlace you will input your answers on the computer.

We recommend that you have some paper handy as you work in which to write down rough workings.

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

You should aim for approximately 1 minute per mark.

The timer is set for 135 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 Eduqas and these questions represent our own unique content developed by Eduqas GCSE authors.

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

Write 0.62 as a percentage.

[1]

62%

6.2%

0.62%

31%

Which of these is a prime number between 10 and 20?

[1]

11

12

13

15

Work out 7 x (2+1)

[1]

15

21

16

14

What number is exactly half-way between 21 and 33?

[1]

25

26

27

28

Write 150 seconds in minutes

(Give your answer as a decimal)

[1]

(a) Write down the coordinates of point A.       [1]

(b) (i) Point B is at (4,1). Mark this point on the grid.    [1]

(ii) Does point B lie on the line y = 3x – 2? Give a reason for your answer.      [1]

(c) On the grid, draw the line y = 5      [1]

Amrita has 3 dogs, each one eats ¾ of a tin of dog food each day.

She buys 10 tins of dog food.

Does she have enough to feed her dogs for 4 days?

[3]

(a) Work out           [1]

(b) Work out            [2]

Stephen leaves home at 6 AM and cycles to work in half an hour at an average speed of 12 mph.

(a) Work out the distance Stephen cycled.       [2]

Stephen worked for 9 hours and then cycled home. He took 50 minutes to cycle home.

(b) What time did Stephen get home?       [2]

Kayliegh drives to a friend’s wedding in France with 3 friends.

The costs are…

£600 for 4 return ferry tickets

£650 to hire a villa to stay in

£200 for petrol for her car

The four friends split the cost equally. What is Kayliegh's share?

[3]

Here are some fractions.

One of these fractions is not equal to 2/3.

Which fraction?

[1]

10/15

4/6

20/30

22/30

16/24

There are 30 pupils in a school class.

18 of the pupils are male

8 of the female students are right-handed

12 of the male students are left-handed.

(a) Use this information to complete the two-way table.      [3]

 Male Female Total Left Handed Right Handed Total

One of the students is chosen at random.

(b) What is the probability that this is a left-handed girl?      [1]

The total surface area of a cube is 150 cm2.

Find the volume.

[4]

James, John and Jim all earn the same each month.

James spends 65% of his salary and saves the rest.

John spends 34/50 of his salary and saves the rest.

Jim spends and saves his salary in the ratio 3:2

Work out who saves the least of their salary each month.

Show how you get your answer

[4]

Here are a triangle and a rectangle.

The rectangle has an area three times bigger than the area of the triangle.

Work out the length of the base of the triangle.

[4]

A toy car is moving at 3 ms-1. It accelerates at 3 ms-2 for 2 seconds.

Find the distance covered when the car is accelerating.

[2]

5 apples cost £1.55

3 apples and 4 oranges cost £2.41

Work out the cost of 2 apples and 3 oranges.

[4]

Eric wants to buy some Coffee.

The Food store and Caffeine Central both sell the same type of coffee.

He sees that each shop has the following special offers.

The Food Store.

"500g costs £ 3, 25% off the price"

Caffeine Central

"500g cost £3, Extra 25% for the same price"

Which jar of coffee is the best value?

Give a reason for your answer.

[4]

Work out

[4]

In a bag, there are blue discs, red discs and black discs

There are three times as many blue discs as red discs

the number of blue discs: the number of black discs is 2:3

One disc is selected at random.

Work out the probability the disc is either blue or black

[3]

Work out 36.2 x 4.9

[3]

A Formula One car travels at 182.9 miles per hour.

What is the best estimate for the of the number of miles travelled in 1 minute.

[3]

Solve the simultaneous equations

6x + 5y = 38

4x + 6y = 36

[3]

Here are two shapes, a rectangle and a triangle that have the same perimeter.

The side FG  has a length of 10 cm

The area of the rectangle DEFG is 50 cm2

Work out the value of the length AB.

[4]

a) Write down the exact value of sin 60     [1]

b) Here is a right-angled triangle.

Cos 30 = 0.5

Find the value of x.         [2]

The size of each interior angle of a regular polygon is 3 times the size of each exterior angle.

What is the name of this regular polygon?

[3]

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

[1]

54

56

61

64

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

A fair dice has six sides, numbered 1 to 6,

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

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

[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]

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]

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]

Rearrange

a = 3b + 4

to make b the subject.

[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]

• Question 1

Write 0.62 as a percentage.

[1]

CORRECT ANSWER
62%
EDDIE SAYS
Nice and easy one to start with. Remember the rule that to change a decimal into a percentage, you just multiply it by 100.
• Question 2

Which of these is a prime number between 10 and 20?

[1]

CORRECT ANSWER
11
13
EDDIE SAYS
A prime number is just a number that can only be divided by itself and 1. The only numbers that fit this description between 10 and 20 are 11,13,17 and 19
• Question 3

Work out 7 x (2+1)

[1]

CORRECT ANSWER
21
EDDIE SAYS
A nice little BODMAS question. Did you spot the bracket? Remember this means you have to do this first.
• Question 4

What number is exactly half-way between 21 and 33?

[1]

CORRECT ANSWER
27
EDDIE SAYS
There's a really easy way to do this. Add them together and then half it. Give it a try.
• Question 5

Write 150 seconds in minutes

(Give your answer as a decimal)

[1]

CORRECT ANSWER
2.5
EDDIE SAYS
The biggest mistake people make here is to put 2.30 Remember that 30 seconds is 0.5 minutes
• Question 6

(a) Write down the coordinates of point A.       [1]

(b) (i) Point B is at (4,1). Mark this point on the grid.    [1]

(ii) Does point B lie on the line y = 3x – 2? Give a reason for your answer.      [1]

(c) On the grid, draw the line y = 5      [1]

CORRECT ANSWER
EDDIE SAYS

• Question 7

Amrita has 3 dogs, each one eats ¾ of a tin of dog food each day.

She buys 10 tins of dog food.

Does she have enough to feed her dogs for 4 days?

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 8

(a) Work out           [1]

(b) Work out            [2]

CORRECT ANSWER
EDDIE SAYS

• Question 9

Stephen leaves home at 6 AM and cycles to work in half an hour at an average speed of 12 mph.

(a) Work out the distance Stephen cycled.       [2]

Stephen worked for 9 hours and then cycled home. He took 50 minutes to cycle home.

(b) What time did Stephen get home?       [2]

CORRECT ANSWER
EDDIE SAYS

• Question 10

Kayliegh drives to a friend’s wedding in France with 3 friends.

The costs are…

£600 for 4 return ferry tickets

£650 to hire a villa to stay in

£200 for petrol for her car

The four friends split the cost equally. What is Kayliegh's share?

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 11

Here are some fractions.

One of these fractions is not equal to 2/3.

Which fraction?

[1]

CORRECT ANSWER
22/30
EDDIE SAYS

• Question 12

There are 30 pupils in a school class.

18 of the pupils are male

8 of the female students are right-handed

12 of the male students are left-handed.

(a) Use this information to complete the two-way table.      [3]

 Male Female Total Left Handed Right Handed Total

One of the students is chosen at random.

(b) What is the probability that this is a left-handed girl?      [1]

CORRECT ANSWER
EDDIE SAYS

• Question 13

The total surface area of a cube is 150 cm2.

Find the volume.

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 14

James, John and Jim all earn the same each month.

James spends 65% of his salary and saves the rest.

John spends 34/50 of his salary and saves the rest.

Jim spends and saves his salary in the ratio 3:2

Work out who saves the least of their salary each month.

Show how you get your answer

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 15

Here are a triangle and a rectangle.

The rectangle has an area three times bigger than the area of the triangle.

Work out the length of the base of the triangle.

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 16

A toy car is moving at 3 ms-1. It accelerates at 3 ms-2 for 2 seconds.

Find the distance covered when the car is accelerating.

[2]

CORRECT ANSWER
EDDIE SAYS

• Question 17

5 apples cost £1.55

3 apples and 4 oranges cost £2.41

Work out the cost of 2 apples and 3 oranges.

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 18

Eric wants to buy some Coffee.

The Food store and Caffeine Central both sell the same type of coffee.

He sees that each shop has the following special offers.

The Food Store.

"500g costs £ 3, 25% off the price"

Caffeine Central

"500g cost £3, Extra 25% for the same price"

Which jar of coffee is the best value?

Give a reason for your answer.

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 19

Work out

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 20

In a bag, there are blue discs, red discs and black discs

There are three times as many blue discs as red discs

the number of blue discs: the number of black discs is 2:3

One disc is selected at random.

Work out the probability the disc is either blue or black

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 21

Work out 36.2 x 4.9

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 22

A Formula One car travels at 182.9 miles per hour.

What is the best estimate for the of the number of miles travelled in 1 minute.

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 23

Solve the simultaneous equations

6x + 5y = 38

4x + 6y = 36

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 24

Here are two shapes, a rectangle and a triangle that have the same perimeter.

The side FG  has a length of 10 cm

The area of the rectangle DEFG is 50 cm2

Work out the value of the length AB.

[4]

CORRECT ANSWER
EDDIE SAYS

• Question 25

a) Write down the exact value of sin 60     [1]

b) Here is a right-angled triangle.

Cos 30 = 0.5

Find the value of x.         [2]

CORRECT ANSWER
EDDIE SAYS

• Question 26

The size of each interior angle of a regular polygon is 3 times the size of each exterior angle.

What is the name of this regular polygon?

[3]

CORRECT ANSWER
EDDIE SAYS

• Question 27

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

[1]

CORRECT ANSWER
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 28

Here is a list of numbers, select 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 29

A fair dice has six sides, numbered 1 to 6,

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

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

[2]

CORRECT ANSWER
EDDIE SAYS

• Question 30

Simplify 2a – 5b + 3a + 2b

[2]

CORRECT ANSWER
EDDIE SAYS

• Question 31

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 32

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 33

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 34

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 35

Rearrange

a = 3b + 4

to make b the subject.

[2]

CORRECT ANSWER
EDDIE SAYS

• Question 36

(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

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