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GCSE Maths Paper One (Higher) Practice Paper in the Style of Edexcel - Non Calculator

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

'GCSE Maths Paper One (Higher) Practice Paper in the Style of Edexcel - Non Calculator' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel

Curriculum topic:   Higher Practice Papers

Curriculum subtopic:   Non-Calculator Practice Papers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

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

 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 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 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.

a) Work out                      [2]

 

 

b) Work out                      [2]

 

Give your answer as a mixed number in its simplest form

 

In a bag, the number of squares and circles are in the ratio 3:7.

The number of circles and triangles are given in the ratio 14:9.

 

If there are 36 squares in the bag, how many triangles are in the bag?

 

[3]

Work out 36.2 x 4.9

 

[3]

 

The diagram below shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

 

 

Draw a sketch the 3D shape, labelling all the dimensions.

 

[2]

 

a) A Formula One car travels at 182.9 miles per hour. Find an estimate of the number of miles travelled in 1 minute.   [3]

 

 

b) Is your answer an underestimate or an overestimate? Explain your reasoning.     [1]

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.

 

 

FG = 10 cm

Area of DEFG = 50 cm2

 

Find the value of 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 heights of 60 boys 15-year-old boys are measured and plotted onto the following cumulative frequency graph.

 

 

The smallest boy was 131 cm tall and the tallest was 206 cm tall.

 

(a) On the scale below, draw a box plot for the information about the heights of the boys.    [3]

 

 

(b) At the same time, 60 15-year-old girls had their heights measured. The box plot below shows the heights of the girls.     [2]

 

 

Compare the distributions of the heights of the boys with the heights of the girls.

 

(c) Jimmy says that there must be some girls who are between 140 and 150 cm.       [1]

 

Is Jimmy right? You must give a reason for your answer.

(x + 3) (x - 1) (x + 2) can be written in the form ax3 + bx2 + cx + d.

Find the values of a, b, c and d.

All the unknown values are integers.

 

[3]

 

 

The graph of f(x) is shown.

 

 

(a) What are the coordinates of the turning point of the graph?

 

(b) Write down estimates for the roots f(x) = 0

 

(c) Use the graph to find the value of f(-1).

 

[3]

 

(a) Find the value of         [2]

 

(b) Find the value of       [2]

 

 can be written in the form  where a is an integer.

Find the value of a

 

[3]

A is directly proportional to B

A = 20 when B = 4

 

B is inversely proportional to C2

B = 4 when C = 2

 

Find an equation for A in terms of C.

Give your answer in its simplest form

The diagram shows two shapes with the same volume.

 

The cone has a base diameter of 10 cm and a height of k cm.

The hemisphere has a radius of 8 cm.

 

 

 

Find the height of the cone.                     [4]

 

 

In a bag, there are only red, white and blue marbles.

 

The red marbles and the blue marbles are in the ratio 4:5.

 

The probability you will pull out a white marble is 0.19

 

Find the probability you would pull out a blue marble.

 

[3]

Given that x2:(3 – 4x) = 4:3

 

Find all the possible values of x.

 

[4]

Here is the graph for y = cos(x) for -180 ≤ x ≤ 180

 

 

On the grid, sketch the graph for y = 2cos(x) for -180 ≤ x ≤ 180

 

[2]

 

Show that  can be written in the form  where a,b and c are integers.

 

Give your answer in its simplest form.

 

[3]

The functions f(x) and g(x) are defined such that

 

f(x) = 2x – 3   and    g(x) = 2x2 + 1

 

a) Find f-1(x)                     [2]

 

Given that fg(x) = 3gf(x)

 

b) Show that 10x2 – 36x + 29 = 0                     [5]

There are only red and black marbles in a bag.

There are 2 more black marbles than red marbles.

Jenny takes 3 marbles from the box at random.

The probability that the marbles are different colours is 168/325

Find the number of black marbles in the bag.

 

[6]

  • Question 1

a) Work out                      [2]

 

 

b) Work out                      [2]

 

Give your answer as a mixed number in its simplest form

 

CORRECT ANSWER
EDDIE SAYS

  • Question 2

In a bag, the number of squares and circles are in the ratio 3:7.

The number of circles and triangles are given in the ratio 14:9.

 

If there are 36 squares in the bag, how many triangles are in the bag?

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 3

Work out 36.2 x 4.9

 

[3]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 4

The diagram below shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

 

 

Draw a sketch the 3D shape, labelling all the dimensions.

 

[2]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 5

a) A Formula One car travels at 182.9 miles per hour. Find an estimate of the number of miles travelled in 1 minute.   [3]

 

 

b) Is your answer an underestimate or an overestimate? Explain your reasoning.     [1]

CORRECT ANSWER
EDDIE SAYS

  • Question 6

Solve the simultaneous equations

 

6x + 5y = 38

4x + 6y = 36

 

[3]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 7

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

 

 

FG = 10 cm

Area of DEFG = 50 cm2

 

Find the value of AB

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 8

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 9

The heights of 60 boys 15-year-old boys are measured and plotted onto the following cumulative frequency graph.

 

 

The smallest boy was 131 cm tall and the tallest was 206 cm tall.

 

(a) On the scale below, draw a box plot for the information about the heights of the boys.    [3]

 

 

(b) At the same time, 60 15-year-old girls had their heights measured. The box plot below shows the heights of the girls.     [2]

 

 

Compare the distributions of the heights of the boys with the heights of the girls.

 

(c) Jimmy says that there must be some girls who are between 140 and 150 cm.       [1]

 

Is Jimmy right? You must give a reason for your answer.

CORRECT ANSWER
EDDIE SAYS

  • Question 10

(x + 3) (x - 1) (x + 2) can be written in the form ax3 + bx2 + cx + d.

Find the values of a, b, c and d.

All the unknown values are integers.

 

[3]

 

 

CORRECT ANSWER
EDDIE SAYS

  • Question 11

The graph of f(x) is shown.

 

 

(a) What are the coordinates of the turning point of the graph?

 

(b) Write down estimates for the roots f(x) = 0

 

(c) Use the graph to find the value of f(-1).

 

[3]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 12

(a) Find the value of         [2]

 

(b) Find the value of       [2]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 13

 can be written in the form  where a is an integer.

Find the value of a

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 14

A is directly proportional to B

A = 20 when B = 4

 

B is inversely proportional to C2

B = 4 when C = 2

 

Find an equation for A in terms of C.

Give your answer in its simplest form

CORRECT ANSWER
EDDIE SAYS

  • Question 15

The diagram shows two shapes with the same volume.

 

The cone has a base diameter of 10 cm and a height of k cm.

The hemisphere has a radius of 8 cm.

 

 

 

Find the height of the cone.                     [4]

 

 

CORRECT ANSWER
EDDIE SAYS

  • Question 16

In a bag, there are only red, white and blue marbles.

 

The red marbles and the blue marbles are in the ratio 4:5.

 

The probability you will pull out a white marble is 0.19

 

Find the probability you would pull out a blue marble.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 17

Given that x2:(3 – 4x) = 4:3

 

Find all the possible values of x.

 

[4]

CORRECT ANSWER
EDDIE SAYS

  • Question 18

Here is the graph for y = cos(x) for -180 ≤ x ≤ 180

 

 

On the grid, sketch the graph for y = 2cos(x) for -180 ≤ x ≤ 180

 

[2]

 

CORRECT ANSWER
EDDIE SAYS

  • Question 19

Show that  can be written in the form  where a,b and c are integers.

 

Give your answer in its simplest form.

 

[3]

CORRECT ANSWER
EDDIE SAYS

  • Question 20

The functions f(x) and g(x) are defined such that

 

f(x) = 2x – 3   and    g(x) = 2x2 + 1

 

a) Find f-1(x)                     [2]

 

Given that fg(x) = 3gf(x)

 

b) Show that 10x2 – 36x + 29 = 0                     [5]

CORRECT ANSWER
EDDIE SAYS

  • Question 21

There are only red and black marbles in a bag.

There are 2 more black marbles than red marbles.

Jenny takes 3 marbles from the box at random.

The probability that the marbles are different colours is 168/325

Find the number of black marbles in the bag.

 

[6]

CORRECT ANSWER
EDDIE SAYS

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