AQA GCSE Maths Paper 1: Non-calculator Higher June 2023 question paper 8300/1H

Work out 0.7 × 0.5

Work out 27 ÷ 0.6

Solve 2x 26

Give your answer as a mixed number.

ABC, BD and BE are straight lines.

angle EBD = 5 × angle ABE angle DBC = 3 × angle ABE Work out the size of angle EBD.

Two prime numbers are multiplied together. The answer is an even number between 50 and 60 Complete the calculation.

Andrew and Bruce share some money in the ratio 5: 6 Bruce gets £96 Andrew gives of his share to Carl. Bruce gives of his share to Carl. How much money does Carl receive?

a 2 7 2 × 3 × 5 = 600 Work out the value of a. You must show your working.

Expand and simplify fully 5(3 x + 4) – 2(x – 1)

Make two different criticisms of her sketch.

Sunita is x years old. Beth is one year younger than Sunita. Joel is double Sunita’s age. The mean of their ages is 5 How old is Joel ?

The Venn diagram represents 100 items.

Write down P(A ∩ B)

Work out P(A')

Work out P(A U B)

a × 10 is a number in standard form. Complete the inequality for the value of a.

b × 10ⁿ is the number 7200 written in standard form.

Write your answer as an ordinary number.

Here is a number machine.

Show that when the input increases by 2 the output increases by 2 a.

² f(x) = kx where k is a constant. Kai says that is equal to f(3) because = 3 Is he correct? Show working to support your answer.

Here is a list of 11 whole numbers in numerical order. The lower quartile, median, upper quartile and highest value are missing.

• median = 2 × lower quartile

• upper quartile = 2.5 × lower quartile

• range = 2 × interquartile range

Complete the list.

ABCD is a trapezium. All four sides are different lengths. AB is parallel to CD. The diagonals intersect at X.

For each statement, tick the correct box.

Solve the simultaneous equations 2 x – 5 y = 13 3 x + 4 y = 8

A solid hemisphere has radius x. A solid cylinder has radius 3 x and height x.

Surface area of a sphere = 4πr² where r is the radius

Work out the ratio total surface area of the hemisphere: total surface area of the cylinder Give your answer in its simplest form. You must show your working.

Circle the possible value of x.

1.9 20 45 290

Work out how many 5-digit odd numbers can be made using these digits once each.

2 4 6 7 9 Do not list them.

K, L and M are weights. Both of the scales balance exactly.

How many M weights are needed to balance one L weight?

Express x² – 6x – 15 in the form (x – a)² – b where a and b are integers.

Match each expression to its value. One has been done for you.

Write 0 13. as a fraction in its simplest form.

Points P, Q and R (8, 22) form a triangle.

PQ is a horizontal line, with P on the y-axis. Angle PRQ is a right angle. The gradient of PR is 2 Work out the coordinates of Q.

A circle, centre O, has circumference 20 π cm Q is a point on the circle.

Work out the value of a. You must show your working.

A journey has two stages.