AQA GCSE Maths Paper 1: Non-calculator Higher November 2020 question paper 8300/1H

Circle the fraction that is equivalent to 4.75

Here is vector a.

Circle the column vector that represents a.

Which one of these is a square number and a cube number? Circle your answer.

100 1000 10 000 1 000 000

Use trigonometry to work out the size of angle x.

A and B are scatter graphs.

What type of correlation is shown by each graph? Choose from

Here is some information about 80 people who play in bands. 12 are singers but not guitar players. 30% are neither a singer nor a guitar player. of the guitar players are also singers. Complete this Venn diagram to represent the information.

ξ = 80 people who play in bands S = singers G = guitar players

The shorter side of a parallelogram has length 6.5 cm

The length of the shorter side is of the perimeter. Work out the length of the longer side.

All the terms of a geometric progression are positive. The second and fourth terms are shown. ………. 4 ………. 16 Work out the first and third terms.

The first two terms of an arithmetic progression are shown. p 5 p ….. The sum of the first three terms is 90 Work out the value of p.

The cost of a holiday is £2400 Rana pays a deposit followed by monthly payments, in the ratio

deposit: total of the monthly payments = 3: 5

She makes 6 equal monthly payments. Work out her monthly payment.

Two wire shapes make an earring. The shapes are a circle with radius 21 mm and a quarter circle.

radius of circle: radius of quarter circle = 7: 2

Show that the radius of the quarter circle is 6 mm

Work out the total length of the wire in the earring. Give your answer in the form a π + b where a and b are integers.

s and t are positive integers. (x + s)(x – t) is expanded and simplified. The answer is x 2 + kx – 40 where k is a positive integer. Work out the smallest possible value of k.

Faisal tries to solve (x + 2)(x – 7) = 0 Here is his working. (x + 2) = 0 or (x – 7) = 0 x = 2 or x = 7 Give a reason why his answer is wrong.

c = 2 10 × 3 × 5 6 Work out 18 c. Give your answer as a product of prime factors in index form.

Give your answer as an integer.

3x =

Circle the ratio x: y

6: 1 1: 6 3: 2 2: 3

A sequence of numbers is formed by the iterative process

Work out the values of u₂ and u₃

u 2 =

Jim buys a plant of height 20 cm The graph shows how the height of the plant changes during the next 4 days.

Work out a formula for h in terms of n.

Solve the simultaneous equations 2 x + 4 y = – 9 2 y = 4 x – 7

Circle the expression that is equivalent to +

Write down the value of 7 0

Work out the value of 32

Write these numbers in order of size.

Start with the smallest.

y is directly proportional to x³ y = 17 when x = 4 Work out an equation connecting y and x.

The value of r is multiplied by 4 Circle what happens to the value of m. × 2 × 16 ÷ 2 ÷ 16

ABCD is a quadrilateral.

Prove that ABCD is not a cyclic quadrilateral.

y is an obtuse angle. Which statement is true? Tick one box.

A histogram is drawn to represent the heights of a sample of women. Three of the four bars are shown. The bar for 170 cm ≤ height 180 cm is missing.

There are 74 women in the sample. Complete the histogram.

Give your answer as an integer.

A and B are similar solid cylinders. base area of A: base area of B = 9: 25 Complete these ratios.

Factorise fully 144 – 4 x 2

The graph of y = x 3 + 6 is translated 4 units to the right. The translated graph has equation y = f(x) Work out f(x). Give your answer in the form x 3 + ax 2 + bx + c where a, b and c are integers.