Edexcel GCSE Maths Paper 1: Non-calculator Higher June 2023 question paper 1MA1/1H

Work out 8.46 0.15

Give your answer as a mixed number.

A cube has a total surface area of 150 cm² Work out the volume of the cube.

The table shows information about the daily rainfall in a town for 60 days.

Rainfall (R mm)	Frequency
0 R 5	8
5 R 10	24
10 R 15	13
15 R 20	11
20 R 25	4

Draw a frequency polygon for this information.

E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {odd numbers} B = {square numbers}

Complete the Venn diagram for this information.

A number is chosen at random from the universal setE

Find the probability that this number is in the set B′

The scatter graph shows information about the ages and weights of some babies.

Describe the relationship between the age and the weight of the babies.

Another baby has a weight of 5.8 kg

Using the scatter graph, find an estimate for the age of this baby.

The price of a holiday increases by 20% This 20% increase adds £240 to the price of the holiday. Work out the price of the holiday before the increase.

The diagram shows a solid cylinder on a horizontal floor.

The cylinder has a volume of 1200 cm³ height of 40 cm. The cylinder exerts a force of 90 newtons on the floor. Work out the pressure on the floor due to the cylinder.

Use these graphs to solve the simultaneous equations 2 – 2 y = x 2 y = 3 x – 22

Here is a pentagon.

Angle AED = 4×angle ABC Work out the size of angle AED. You must show all your working.

Martha plays a game twice. The probability tree diagram shows the probabilities that Martha will win or lose each game.

Find the probability that Martha will lose at least one game.

y is directly proportional to x. y = 24 when x = 1.5 Work out the value of y when x = 5

Write in the form 4ⁿ where n is an integer.

Work out the value of

15The equation of line L₁ is y = 2x – 5 The equation of line L₂ is 6y + kx – 12 = 0 L₁ is perpendicular to L₂ Find the value of k. You must show all your working.

Here is a sphere.

of the surface area of this sphere is 75πcm² Find the diameter of the sphere.

7 kg of carrots and 5 kg of tomatoes cost a total of 480p cost of 1 kg of carrots: cost of 1 kg of tomatoes = 5: 9 Work out the cost of 1 kg of carrots and the cost of 1 kg of tomatoes.

The menu in a restaurant has starters, main courses and desserts. There are 5 starters. There are 12 main courses. There are x desserts. There are 420 different ways to choose one starter, one main course and one dessert. Work out the value of x.

20For x 0, the functions f and g are such that

Find g^–1(x)

g^{– 1}(x) =_........

Solve gf (x) = 3

A, B and D are points on a circle with centre O. CDE is the tangent to the circle at D.

Work out the size of angle ADC. Write down any circle theorems you use.

ABCDEFGH is a cuboid.

AF = 6.8 cm FC = 13.6 cm Work out the size of the angle between FC and the plane ABCD.

Find the set of possible values of x for which

You must show all your working.