# 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

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel

Curriculum topic:   Higher 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 (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]

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]

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]

(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.

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.

[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]

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]

EDDIE SAYS

• Question 3

Work out 36.2 x 4.9

[3]

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]

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]

EDDIE SAYS

• Question 6

Solve the simultaneous equations

6x + 5y = 38

4x + 6y = 36

[3]

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]

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]

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]

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]

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]

EDDIE SAYS

• Question 12

(a) Find the value of         [2]

(b) Find the value of       [2]

EDDIE SAYS

• Question 13

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

Find the value of a

[3]

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.

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]

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]

EDDIE SAYS

• Question 17

Given that x2:(3 – 4x) = 4:3

Find all the possible values of x.

[4]

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]

EDDIE SAYS

• Question 19

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

[3]

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]

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]

EDDIE SAYS