Edexcel GCSE Maths Paper 2: Calculator Higher June 2023 question paper 1MA1/2H

Write down all the figures on your calculator display.

Work out the value of the reciprocal of 0.625

Write 60 as a product of its prime factors.

There are 48 counters in a bag. There are only red counters and blue counters in the bag. number of red counters: number of blue counters = 1: 2 Helen has to work out how many red counters are in the bag. She says, “There are 24 red counters in the bag because 1 is half of 2 and 24 is half of 48” Is Helen correct? You must give a reason for your answer.

4 –2 ≤ n < 5 n is an integer.

Write down the greatest possible value of n.

On the number line below, show the inequality –4 m < 1

Here is a triangle and a rectangle.

All measurements are in centimetres. The area of the triangle is 10 cm² greater than the area of the rectangle. Work out the value of x.

Last year a family recycled 800 kg of household waste. 57% of this waste was paper and glass. weight of paper recycled: weight of glass recycled = 12: 7 Calculate the weight of glass the family recycled.

A number, d, is rounded to 1 decimal place. The result is 12.7 Complete the error interval for d.

Tamsin buys a house with a value of £150 000 The value of Tamsin’s house increases by 4% each year. Rachel buys a house with a value of £160 000 The value of Rachel’s house increases by 1.5% each year. At the end of 2 years, whose house has the greater value? You must show how you get your answer.

The cumulative frequency table gives information about the ages of 80 people working for a company.

Age (a years)	Cumulative frequency
20 a 30	20
20 a 40	48
20 a 50	64
20 a 60	75
20 a 70	80

On the grid opposite, draw a cumulative frequency graph for this information.

Use your graph to find an estimate for the median age.

Age (years)

A biased dice is thrown 60 times. The table shows information about the number that the dice lands on each time.

Gethin throws the dice twice.

Work out an estimate for the probability that the dice will land on 6 both times.

Sally is going to throw the same dice n times and record the number it lands on each time. She will use her results to work out a more reliable estimate for the probability in part (a).

What can you say about the value of n?

Use algebra to solve the simultaneous equations 2 x + 6 y = 5 3 x – 4 y = –12

The points A, B, C and D lie on a circle, centre O. ABCD is a rectangle.

AB = 8 cm BC = 10 cm Work out the circumference of the circle. Give your answer correct to 3 significant figures.

ABC is a triangle.

Calculate the size of angle BAC. Give your answer correct to 1 decimal place.

Here are the first four terms of a quadratic sequence. 3 9 17 27 Find an expression, in terms of n, for the nth term of this sequence.

The histogram gives information about the number of hours some students used their phones last week. The histogram is incomplete.

28 students used their phones for between 30 and 40 hours. 24 students used their phones for between 40 and 60 hours.

Use this information to complete the histogram.

No student used their phone for more than 60 hours.

Work out the total number of students.

Starting with x₀ = 1.5

a solution of x⁴ – x² – 5 = 0

2 a: 5c = 6: 25 4b: 7c = 20: 21 Show that a + b:b + c = 17: 20

ABC is a right-angled triangle.

AB = 9.3 cm correct to the nearest mm. AC = 12.6 cm correct to the nearest mm. Calculate the lower bound for the size of the angle marked x. You must show all your working.

ORT is a triangle.

OT→ = a RT→ = b M is the point on OR such that OM:MR = 2: 3 Express MT→ in terms of a and b. Give your answer in its simplest form.

Here is the graph of y = f(x)

On the grid below, draw the graph of y = f(x) – 4

On the grid below, draw the graph of y = f(–x)

There are only blue pens and red pens in a box. The number of blue pens is four times the number of red pens. Rita takes at random one pen from the box. She records the colour of the pen and then replaces it in the box. Rita does this n times, where n 2 Write down an expression, in terms of n, for the probability that Rita gets a blue pen at least once and a red pen at least once.

Here are three similar triangles, ABG, ACF and ADE.

ABCD and AGFE are straight lines. AB:BC:CD = 1: 2: 3 Show that area of ABG: area of BCFG: area of CDEF = 1: 8: 27

24The diagram shows 8 identical regular octagons joined to enclose a shaded shape.

Each octagon has sides of length a. Find, in terms of a, an expression for the area of the shaded shape.