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

In this assessment, students will be able to complete a timed GCSE Mathematics Paper 2 (Calculator) in the style of AQA

'GCSE Maths Paper Two (Foundation) Practice Paper in the Style of AQA - Calculator' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA

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 2 (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.  You will need graph paper for some of the questions.

 

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.

 

Which of these options is correct for converting 0.65 to a fraction?

 

[1]

65/10

65/100

13/20

65/1000

Write the following numbers in order of size

Start with the smallest number.

 

  -2          2          -1          0            3

 

[1]

Select all the numbers that are factors of 24.

 

[1]

1

4

5

12

Select the option that is the correct conversion of 1.23 km into metres.

 

[1]

12.3

123

1230

12300

Write the number sixty-five thousand in figures.

 

[1]

Derek is thinking of a number.

He says…

 “My number is even. It is a factor of 40 and a multiple of 5”

 

There are 4 numbers that he could be thinking of, write down at least two of them.

 

[3]

Dave says.

 “There are more square numbers between 1 and 10 than there are between 11 and 30.”

 

Is Dave right?

You must show how you get your answer.

 

[2]

On a map of the UK, 1 cm represents 25 km.

 

On the map, the distance between Manchester and Edinburgh is 11.2 cm.

 

What is the real distance, in km, between Manchester and Edinburgh?

 

[2]

 

Find the value of x.

 

[3]

Here is a number machine.

 

(a) Write down the output when the input is 4

 

(b) Write down the input when the output is 6

 

[3]

(a) Solve 2a + a + 3a = 54   [1]

 

(b) Solve b/3 = 6   [1]

 

(c) Solve 3c - 2 = 16.6   [1]

Here is part of a train timetable

 

Leeds

07:05

07:24

07:41

Manchester

07:56

08:11

08:58

 

 

Jeff gets to the train station at Leeds at 07:09

 

(a) Work out how many minutes he has to wait to get the first train.   [1]

 

 

(b) Work out the time taken for the 07:41 train to get to Manchester.   [2]

James washes cars.

He gets paid 59 p per car and washes an average of 12 cars an hour.

 

Jim works for 38 hours per week.

His weekly wage is £269.80

 

Show that Jim has a higher hourly pay than James.

 

[3]

x and y are even numbers

 

(a) Give an example to show that 3(2x – y) is a multiple of 6   [2]

 

 

(b) When x and y are both even, show that the value of

3 (2x – y) must be a multiple of 6.   [2]

A garden bed is in the shape of a rectangle measuring 2m by 3m.

 

Flowers are grown in 47% of the bed.

Vegetables are grown in the rest of the bed.

 

Work out the area of the garden that is used to grow vegetables.

 

[4]

Solve 3x + 6 = 2(4x – 3)

 

[3]

Here is a list of ingredients needed to make 10 scones

 

 

John has the following ingredients.

1.2 kg flour

A full tin of baking powder

150 g of caster sugar

250 g of butter

 

What is the greatest number of scones that John can make?

You must show your working.

 

[3]

There are 78 calories in 100 g of cereal

There are 142 calories in 200 ml of milk

 

Alex has 150 g of cereal and 250 ml of milk for his breakfast.

How many calories are there in this meal?

 

[4]

Machine 1 and Machine 2 both make parts for motorbikes

 

Machine 1 makes 10 parts every 15 minutes

Machine 2 makes 14 parts every 20 minutes

 

Both machines run for 8 hours per day, Monday to Friday.

 

How many parts can the machines make in 1 week?

 

[4]

This triangle is isosceles.

 

 

Is the perimeter of this shape greater than 1 metre?

You must show your working.

 

[5]

 

ABC and DEF are parallel lines

 

Work out the size of angle x giving reasons for each stage of your working.

 

[4]

There are only red, black and blue marbles in a bag.

 

There are three times as many black marbles as red marbles and twice as many blue marbles as black.

 

John takes a marble from the bag at random.

Find the probability it is a black marble.

 

[3]

The diagram shows the side view of a step ladder.

The strut (BC) is one-quarter of the way up the ladder

The symmetrical cross-section shows two similar triangles.

 

AD = 180 cm

BC = 60 cm

 

Work out the vertical height of the ladder.

 

[5]

The volume of a brass instrument is 360 cm2

The instrument is made from copper and zinc.

 

Volume of copper: volume of zinc = 2:1

The density of copper is 8.96 g/cm3

The density of zinc is 7.13 g/cm3

 

Work out the mass of the instrument.

 

[4]

100 members of a triathlon club were asked if their favourite sport was cycling, swimming or running.

 

52 of the people asked were male

12 of the 41 who said cycling were female

19 men said running

17 people said swimming.

 

One of the females is picked at random, what is the probability she said swimming was her favourite sport?

 

[4]

 

 

Work out 2a + 3b as a column vector.

  • Question 1

Which of these options is correct for converting 0.65 to a fraction?

 

[1]

CORRECT ANSWER
65/100
13/20
EDDIE SAYS
When you need to convert decimals into fractions, the trick is to look at the last digit. In this case the 5 is in the hundredths column. This gives a fraction of 65/100, all you need to do is cancel it down.
  • Question 2

Write the following numbers in order of size

Start with the smallest number.

 

  -2          2          -1          0            3

 

[1]

CORRECT ANSWER
EDDIE SAYS
Look at the number line, all you are doing is going left to right. Remember that, for example, -3 is smaller than -2
  • Question 3

Select all the numbers that are factors of 24.

 

[1]

CORRECT ANSWER
1
4
12
EDDIE SAYS
The factors of 24 are just the numbers that you can divide by without leaving a remainder. So 24 &div: 8 = 3 (3 and 8 are factors of 24) but 24 ÷7 = 3.429 so 7 is not a factor of 24
  • Question 4

Select the option that is the correct conversion of 1.23 km into metres.

 

[1]

CORRECT ANSWER
1230
EDDIE SAYS
All you need to know here is that the conversion factor for m into km is 1000. Because there are more metres than km in the same distance, we have to multiply by 1000.
  • Question 5

Write the number sixty-five thousand in figures.

 

[1]

CORRECT ANSWER
65000
65,000
EDDIE SAYS
Look at your place values here sixty thousand = 60000 five thousand = 5000 Just add them together.
  • Question 6

Derek is thinking of a number.

He says…

 “My number is even. It is a factor of 40 and a multiple of 5”

 

There are 4 numbers that he could be thinking of, write down at least two of them.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 7

Dave says.

 “There are more square numbers between 1 and 10 than there are between 11 and 30.”

 

Is Dave right?

You must show how you get your answer.

 

[2]

CORRECT ANSWER
EDDIE SAYS

  • Question 8

On a map of the UK, 1 cm represents 25 km.

 

On the map, the distance between Manchester and Edinburgh is 11.2 cm.

 

What is the real distance, in km, between Manchester and Edinburgh?

 

[2]

CORRECT ANSWER
EDDIE SAYS

  • Question 9

 

Find the value of x.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 10

Here is a number machine.

 

(a) Write down the output when the input is 4

 

(b) Write down the input when the output is 6

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 11

(a) Solve 2a + a + 3a = 54   [1]

 

(b) Solve b/3 = 6   [1]

 

(c) Solve 3c - 2 = 16.6   [1]

CORRECT ANSWER
EDDIE SAYS

  • Question 12

Here is part of a train timetable

 

Leeds

07:05

07:24

07:41

Manchester

07:56

08:11

08:58

 

 

Jeff gets to the train station at Leeds at 07:09

 

(a) Work out how many minutes he has to wait to get the first train.   [1]

 

 

(b) Work out the time taken for the 07:41 train to get to Manchester.   [2]

CORRECT ANSWER
EDDIE SAYS

  • Question 13

James washes cars.

He gets paid 59 p per car and washes an average of 12 cars an hour.

 

Jim works for 38 hours per week.

His weekly wage is £269.80

 

Show that Jim has a higher hourly pay than James.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 14

x and y are even numbers

 

(a) Give an example to show that 3(2x – y) is a multiple of 6   [2]

 

 

(b) When x and y are both even, show that the value of

3 (2x – y) must be a multiple of 6.   [2]

CORRECT ANSWER
EDDIE SAYS

  • Question 15

A garden bed is in the shape of a rectangle measuring 2m by 3m.

 

Flowers are grown in 47% of the bed.

Vegetables are grown in the rest of the bed.

 

Work out the area of the garden that is used to grow vegetables.

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 16

Solve 3x + 6 = 2(4x – 3)

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 17

Here is a list of ingredients needed to make 10 scones

 

 

John has the following ingredients.

1.2 kg flour

A full tin of baking powder

150 g of caster sugar

250 g of butter

 

What is the greatest number of scones that John can make?

You must show your working.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 18

There are 78 calories in 100 g of cereal

There are 142 calories in 200 ml of milk

 

Alex has 150 g of cereal and 250 ml of milk for his breakfast.

How many calories are there in this meal?

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 19

Machine 1 and Machine 2 both make parts for motorbikes

 

Machine 1 makes 10 parts every 15 minutes

Machine 2 makes 14 parts every 20 minutes

 

Both machines run for 8 hours per day, Monday to Friday.

 

How many parts can the machines make in 1 week?

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 20

This triangle is isosceles.

 

 

Is the perimeter of this shape greater than 1 metre?

You must show your working.

 

[5]

CORRECT ANSWER
EDDIE SAYS
  • Question 21

 

ABC and DEF are parallel lines

 

Work out the size of angle x giving reasons for each stage of your working.

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 22

There are only red, black and blue marbles in a bag.

 

There are three times as many black marbles as red marbles and twice as many blue marbles as black.

 

John takes a marble from the bag at random.

Find the probability it is a black marble.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 23

The diagram shows the side view of a step ladder.

The strut (BC) is one-quarter of the way up the ladder

The symmetrical cross-section shows two similar triangles.

 

AD = 180 cm

BC = 60 cm

 

Work out the vertical height of the ladder.

 

[5]

CORRECT ANSWER
EDDIE SAYS
  • Question 24

The volume of a brass instrument is 360 cm2

The instrument is made from copper and zinc.

 

Volume of copper: volume of zinc = 2:1

The density of copper is 8.96 g/cm3

The density of zinc is 7.13 g/cm3

 

Work out the mass of the instrument.

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 25

100 members of a triathlon club were asked if their favourite sport was cycling, swimming or running.

 

52 of the people asked were male

12 of the 41 who said cycling were female

19 men said running

17 people said swimming.

 

One of the females is picked at random, what is the probability she said swimming was her favourite sport?

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 26

 

 

Work out 2a + 3b as a column vector.

CORRECT ANSWER
EDDIE SAYS

Try it ---- OR ----

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