AQA GCSE Maths Paper 1: Non-calculator Higher November 2022 question paper 8300/1H

Circle your answer.

Circle the value of x.

Circle the correct statement.

Divide 62 in the ratio 3: 7

Here is some information about the time spent on social media by 40 women and 40 men last week.

Time spent, t (hours)	Number of women	Number of men
2 t 5	12	10
5 t 8	11	17
8 t 11	14	9
11 t 14	2	4
14 t 17	1	0

Tick one box for each statement.

The diagram shows the vectors a and b.

What is b as a column vector?

Work out 4 a as a column vector.

7

Work out c as a column vector. Circle your answer.

Give your answer as a fraction.

Work out all the integer values of x for which 12 ≤ 4x 25

Here is some information about 120 people who visit a shop. of the people buy neither a coat nor a dress. 19 people buy a coat. 14 people buy a dress. Complete this Venn diagram to represent the information. ξ = 120 people who visit the shop C = people who buy a coat D = people who buy a dress

Write (3⁶ × 3⁵): 3⁷ in the form n: 1 where n is an integer.

a is 10% more than b. Circle the ratio a: b

10: 11 10: 1 11: 10 1: 10

Work out 0 47. + 0.312 Circle your answer.

Craig wants to draw a graph, for values of x from – 3 to 3, where the x-coordinate and y-coordinate are always in the ratio 2: 1 Here is his graph.

Make two criticisms of Craig’s graph.

Show that (3x + 4)(2x – 5) – 11x(x – 2) + 5(x² – 3x – 1) simplifies to an integer.

A graph has the equation y = x² + px + r where p and r are constants. The graph passes through the points (0, 4), (1, 3) and (8, w) Work out the value of w.

The table shows information about the heights of 60 athletes.

Height, h (cm)	Frequency
150 h 160	4
160 h 170	12
170 h 180	35
180 h 190	7
190 h 200	2

Complete the cumulative frequency table.

Height, h (cm)	Cumulative frequency
h 150	0
h 160	4
h 170	16
h 180
h 190
h 200

Circle the class interval that contains the lower quartile.

Draw a cumulative frequency diagram to represent the data.

Estimate the number of the athletes whose height is more than 176 cm

A road has three sections, D, E and F. The lengths of D, E and F are in the ratios D: E = 3: 5 E: F = 7: 4 What fraction of the length of the road is section D?

The only solution to x² + bx + c = 0 is x = –15 Work out the values of b and c.

Convert 0 61. to a fraction.

(4, 8) is a point on a circle, centre O. The tangent at (4, 8) intersects the x-axis at P.

Work out the x-coordinate of P.

4 × sin 30 ° × tan 30 ° × cos 30 ° = sin y Work out one possible value of y. You must show your working.

Triangle ABC is drawn on a grid.

ABC is transformed to A ' B ' C ' by a reflection in the line x = 1 A ' B ' C ' is transformed to A '' B '' C '' by a rotation 90 ° anticlockwise about (1, – 4) Which one point on ABC is invariant under the combined transformation? You must show the result of each transformation on the grid.

Solve x² – 5x – 6 0

Show the solution to x² – 5x – 6 0 on the number line.

P, Q and R are points on a circle. SP is a tangent to the circle.

Prove that y = 90 ° – x