AQA GCSE Maths Paper 1: Non-calculator Higher November 2024 question paper 8300/1H

Work out the value of 1.5²

Complete this number machine so that y = 4 x + 5

Complete this number machine so that y = 3 x – 24

Complete this number machine so that y = x

Each number in a list is increased by 10

Tick one box for each statement.

Write the missing term in the geometric progression.

A Fibonacci-type sequence begins

5 – 9

The sequence is continued by adding the previous two terms.

Work out the next two terms.

Here is a solid prism.

How many faces does the prism have?

The prism has volume = 3500cm³ and length = 20 cm

Work out the area of the cross-section of the prism.

Give your answer as a fraction.

A large circle and a small circle are shown. The radius of the large circle is 12cm

radius of large circle: radius of small circle = 4: 1

Work out the shaded area. Give your answer in terms of π

In this part, assume that each person works at the same rate. 10 people can complete a job in 9 hours.

If 15 people work on the same job, how many hours will it take to complete the job?

In fact, of the 15 people 6 work at a slower rate 9 work at a faster rate.

What does this mean about the number of hours it will take to complete the job? Tick one box.

Clive owns two coffee shops, A and B. Out of 150 people

18 people use both shops

46% use shop A

Complete the Venn diagram to represent the information.

ξ = 150 people A = people who use shop A B = people who use shop B

Construct the region that lies within 4 cm of the line.

Convert 0 15. to a fraction.

By rounding each number to one significant figure,

You must show your working.

Here is a triangle.

Sam attempts to find the value of cos x using the cosine rule.

Identify two errors Sam has made.

Solve the inequality 20 – 5x 30

Represent x –1 on the number line.

When w is truncated the answer is 8 Sacha writes the error interval due to truncation as 7.5 w 8.5

Give a reason why Sacha is wrong and state the correct error interval f or w.

A circle has centre (0, 0) and circumference 36 π

Work out the equation of the circle.

Point J has coordinates (15, 0) and point K has coordinates (30, – 5)

Work out the equation of the straight line through J and K.

Express x² + 8x – 5 in the form (x + a)² – b where a and b are integers.

A curve has the equation y = (x – 7)² + 8

Write down the coordinates of the turning point of the curve.

Expand and simplify fully (x + 2)(2 x + 3)(3 x + 4)

Use your answer from part (a) to work out 102 × 203 × 304

Here is a sketch of the graph of y = tan x where 0° x 360°

You are given that tan 78.69 ° = 5

Work out the other value of x where tan x = 5 and 0° x 360°

Work out the two values of x where tan x = –5 and 0° x 360°

Match each expression on the left to the correct expression on the right. One has been done for you.

In each part, the graph shown is a transformation of the graph y = x²

Write down the equation of the graph shown.

Write down the equation of the graph shown.

Write down the equation of the graph shown.