Edexcel GCSE Maths Paper 1: Non-calculator Higher November 2021 question paper 1MA1/1H

Work out 3.674.2

Work out 59.84 ÷ 1.6

E = {even numbers less than 19} A = {6, 12, 18} B = {2, 6, 14, 18} Complete the Venn diagram for this information.

Give your answer as a mixed number.

At the end of 2017 the value of Tamara’s house was £220 000 the value of Rahim’s house was £160 000 At the end of 2019 the value of Tamara’s house had decreased by 20% the value of Rahim’s house had increased by 30% At the end of 2019, whose house had the greater value? You must show how you get your answer.

Rosie, Matilda and Ibrahim collect stickers. number of stickers: number of stickers: number of stickers = 4: 7: 15 Rosie has Matilda has Ibrahim has Ibrahim has 24 more stickers than Matilda. Ibrahim has more stickers than Rosie. How many more?

The diagram shows a prism.

The cross section of the prism is a right‑angled triangle. The base of the triangle has length 5 cm The prism has length 25 cm The prism has volume 750 cm³ Work out the height of the prism.

The diagram shows a cube with edges of length xcm and a sphere of radius 3 cm.

The surface area of the cube is equal to the surface area of the sphere.

Solve x² = 5x + 24

Write down the value of 7⁰

Find the value of 33⁶3^–6

Find the value of 2^–4

The diagram shows a shape made from 6 identical squares.

The total area of the shape is 5406 cm²

Find an estimate for the length of one side of each square. Give your answer correct to the nearest whole number.

Is your answer to part (a) an underestimate or an overestimate? You must give a reason for your answer.

The diagram shows two rectangles, A and B.

All measurements are in centimetres. The area of rectangle A is equal to the area of rectangle B. Find an expression for y in terms of w.

The cumulative frequency table gives information about the heights, in cm, of 40 plants.

Height (h cm)	Cumulative Frequency
0 h 5	4
0 h 10	11
0 h 15	24
0 h 20	34
0 h 25	38
0 h 30	40

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

Use the graph to find an estimate for the median height of the plants.

.. 13 Ted is trying to change 0.4 3 to a fraction. Here is the start of his method... x = 0.43.. 10x = 4.34.... 10x – x = 4.34 – 0.43 Evaluate Ted’s method so far.

Here is a shape with all its measurements in centimetres.

The area of the shape is Acm² Show that A = 2x² + 24x + 46

15Show that can be written in the form where a, b and c are integers.

There are only 3 red counters and 5 yellow counters in a bag. Jude takes at random 3 counters from the bag. Work out the probability that he takes exactly one red counter.

On the grid show, by shading, the region that satisfies all of these inequalities.

Label the region R.

Here is trapezium ABCD.

The area of the trapezium is 66 cm² the length of AB: the length of CD = 2: 3 Find the length of AB.

20The diagram shows the graph of x² + y² = 30.25

Use the graph to find estimates for the solutions of the simultaneous equations x² + y² = 30.25 y – 2x = 1

The functions f and g are such that

Work out gf(1)

The function h is such that h = (fg)^–1

Find h(x)

22Find the coordinates of the turning point on the curve with equation y = 9 + 18x – 3x² You must show all your working.