Edexcel GCSE Maths Paper 1: Non-calculator Higher November 2022 question paper 1MA1/1H

Write 500 as a product of powers of its prime factors.

Give your answer as a mixed number.

Simplify (2⁻⁵ 2⁸)² Give your answer as a power of 2

Work out 0.004 0.32

A car factory is going to make four different car models A, B, C and D. 80 people are asked which of the four models they would be most likely to buy. The table shows information about the results.

The factory is going to make 40 000 cars next year. Work out how many model B cars the factory should make next year.

Rizwan writes down three numbers a, b and c a: b = 1: 3 b: c = 6: 5

Find a:b:c

Express a as a fraction of the total of the three numbers a, b and c

Emma writes down three numbers m, n and p n = 2 m p = 5 n

Find m:p

A storage tank exerts a force of 10 000 newtons on the ground. The base of the tank in contact with the ground is a 4 m by 2 m rectangle. Work out the pressure on the ground due to the tank.

_........ newtons / m²

Two numbers m and n are such that m is a multiple of 5 n is an even number the highest common factor (HCF) of m and n is 7 Write down a possible value for m and a possible value for n.

Complete the table of values for y = 6x − x³

On the grid, draw the graph of y = 6x − x³ for values of x from −3 to 3

Lina spins a biased 5-sided spinner 40 times.

Here are her results.

Lina is now going to spin the spinner another two times.

Work out an estimate for the probability that she gets a score of 5 both times.

Derek is going to spin the spinner a large number of times.

Work out an estimate for the percentage of times Derek can expect to get a score of 1

11

16

2

Describe fully the single transformation that maps shape P onto shape Q.

Solve the simultaneous equations 5 x + 2 y = 11 4 x + 3 y = 6

p is inversely proportional to t Complete the table of values.

The table shows information about the weights, in grams, of some potatoes.

Weight (w grams)	Number of potatoes
50 w 70	20
70 w 80	50
80 w 90	60
90 w 110	30

On the grid, draw a histogram for this information.

The diagram shows a sector of a circle of radius 18 cm.

The length of the arc is 4πcm. Work out the value of x.

Prove that (2m + 1)² − (2n – 1)² = 4(m + n)(m − n + 1)

Sophia says that the result in part (a) shows that the difference of the squares of any two odd numbers must be a multiple of 4

Is Sophia correct? You must give reasons for your answer.

A and B are points on a circle, centre O. DBC is the tangent to the circle at B. Angle AOB = x° Show that angle ABC = x° You must give a reason for each stage of your working.

Alfie has 11 cards. He has 3 blue cards 7 green cards and 1 white card. Alfie takes at random 2 of these cards. Work out the probability that he takes cards of different colours.

The diagram shows a sketch of part of the curve with equation y = cosx° P is a minimum point on the curve. Write down the coordinates of P.

Here is a triangle ABC.

Work out the value of sin ABC Give your answer in the form where m and n are integers.

23Here are the first five terms of a geometric sequence.

Work out the next term of the sequence.

Given that the terms of this sequence are all positive,

work out the first term of this sequence. You must show all your working.

Here is a solid sphere and a solid cone.

Volume of sphere = πr³ Volume of cone = πr²h All measurements are in cm. The volume of the sphere is equal to the volume of the cone.

Find r:h Give your answer in its simplest form.

Here is a different solid sphere and a different solid cone.

Surface area of sphere = 4πr² Curved area of cone = πrl All measurements are in cm. The surface area of the sphere is equal to the total surface area of the cone.

Find r:h