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GCSE Maths Paper Two (Component 2 - Foundation - Calculator) Practice Paper in the Style of Eduqas

In this assessment, students will be able to complete a timed GCSE Maths Paper Two (Component 2 - Foundation - Calculator) Practice Paper in the Style of Eduqas

'GCSE Maths Paper Two (Component 2 - Foundation - Calculator) Practice Paper in the Style of Eduqas' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Eduqas

Curriculum topic:   Foundation Practice Papers

Curriculum subtopic:   Calculator Practice Papers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this assessment, you will complete a timed GCSE Mathematics Paper 2 (Component 2 - Foundation - Calculator) in the style of Eduqas.

 

You can use any of the following formulae during the assessment. You will be able to view this introduction page at any point during the assessment.

 

Area and Volume Formulae

 

maths formula

 

Kinematics Formulae

 

Where is constant acceleration, u is initial velocity, v is final velocity, s is displacement from the position when t = 0 and t is time taken:

 

 

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.

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 for 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 3 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]

A right angled triangle has angles of 3x° and (2x + 10)°

 

Find the value of x.

 

[3]

Here is a number machine.

 

(a) The input is 4.                  [1]

      What is the output.

 

(b) The output is 6.                  [2]

      What is the input.

 

 

Solve each of the following equation

(a) 2a + a + 3a = 54  [1]

 

(b) b/3 = 6   [1]

 

(c) 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

 

Show that the greatest number of scones John can make is 25.

You must show how you get your answer.

 

[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.

 

 

David says the length of this shape is greater than 1 metre?

 

Show that David is wrong.

 

[5]

BEG is a triangle

 

Work out the size of angle x.

Give 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 isosceles triangles.

 

AD = 180 cm

BC = 60 cm

 

Work out the vertical height of the ladder.

 

[5]

The volume of a brass instrument is 360cm2

The instrument is made from copper and zinc.

 

The amount of copper and zinc is in the ratio 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.

Round 3786 to the nearest 100.     

 

[1]                                             

3790

3700

3800

4000

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

 

[1]                                                 

12

120

1200

12000

Write 36% as a decimal         

 

 [1]                                          

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]

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]

A car hire company uses the following formula to work out the cost of hiring a car.

 

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]

Work out

 

 

Give your answer in standard form.      

 

[2]                                 

  • 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 for 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 3 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

A right angled triangle has angles of 3x° and (2x + 10)°

 

Find the value of x.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 10

Here is a number machine.

 

(a) The input is 4.                  [1]

      What is the output.

 

(b) The output is 6.                  [2]

      What is the input.

 

 

CORRECT ANSWER
EDDIE SAYS

  • Question 11

Solve each of the following equation

(a) 2a + a + 3a = 54  [1]

 

(b) b/3 = 6   [1]

 

(c) 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

 

Show that the greatest number of scones John can make is 25.

You must show how you get your answer.

 

[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.

 

 

David says the length of this shape is greater than 1 metre?

 

Show that David is wrong.

 

[5]

CORRECT ANSWER
EDDIE SAYS
  • Question 21

BEG is a triangle

 

Work out the size of angle x.

Give 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 isosceles 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 360cm2

The instrument is made from copper and zinc.

 

The amount of copper and zinc is in the ratio 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

  • Question 27

Round 3786 to the nearest 100.     

 

[1]                                             

CORRECT ANSWER
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 28

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

 

[1]                                                 

CORRECT ANSWER
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 29

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 30

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]                    

CORRECT ANSWER
EDDIE SAYS

                         

  • Question 31

(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 32

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 33

A car hire company uses the following formula to work out the cost of hiring a car.

 

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 34

Work out

 

 

Give your answer in standard form.      

 

[2]                                 

CORRECT ANSWER
EDDIE SAYS

         

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