AQA GCSE Maths Paper 1: Non-calculator Higher November 2021 question paper 8300/1H

Simplify a⁵³ Circle your answer.

x ≠ 0.4 Circle the possible value of x.

Circle the solid that has 7 vertices.

hexagonal hexagon-based pentagonal pentagon-based prism pyramid prism pyramid

Here is a sketch of a graph.

Circle the equation of the graph. k is a constant.

Write 200 as a product of prime factors. Give your answer in index form.

Lily’s age is 2 years and 4 months. Hugo’s age is 1 year and 8 months. Write Lily’s age in months as a fraction of Hugo’s age in months. Give your fraction in its simplest form.

Solve 5x + 6 3x + 15

Write down the inequality represented by the number line.

The diagram shows an octagon.

x = 1 and y = 5 are lines of symmetry. Work out the coordinates of point Q.

Work out 2000 × 70 000 Give your answer in standard form.

Give your answer as an ordinary number.

A, B, C and D are junctions on a motorway.

distance CD = 3 × distance AB distance BC = 25 miles Salma drives from A to C. She drives for 30 minutes at an average speed of 62 miles per hour. Work out the distance AD.

Here is a right-angled triangle.

Use trigonometry to work out the value of x.

Circle your answer.

(x + a)(x + 3a) x² + bx + 75 Work out the two possible values of b.

The cumulative frequency graph represents the masses of 40 necklaces.

A jeweller buys every necklace with mass greater than 21 grams. Use the graph to estimate how many she buys.

The lowest mass was 3 grams. The highest mass was 28 grams. Draw a box plot to represent the data.

Circle the vector that translates the point (– 2, 7) to the point (3, – 1)

Here is a triangle.

Give a reason why the length of side AB cannot be 35 m

Here is a different triangle.

Leah tries to use the sine rule to work out the size of angle x. Here are the first two lines of her working.

What error has she made in this working?

Items made at a factory have to pass two checks. 90% pass the first check. The items that fail are scrapped. 99% of the items that pass the first check pass the second check. The items that fail are scrapped.

Complete the tree diagram.

An item is chosen at random before the checks. Work out the probability that the item is scrapped.

Which one of these is a unit of density? Circle your answer.

The first two terms of a quadratic sequence are 10 and 17 Here is some information about the sequence.

Work out an expression for the n th term of the sequence.

Give your answer as a mixed number.

Rearrange y = to make x the subject.

f(x) = cx + d f(4) = 7 f(10) = 22 Work out the values of c and d.

24 (b) g(x) = 2x and h(x) =

Circle the expression for hg(x)

d = 2 f

Work out the ratio e: f

The vertices of a regular hexagon lie on a circle with centre O and radius 5 cm

Work out the shaded area.

Here is the graph of y = cos x for 0° ≤ x ≤ 360°

In parts (a) and (b) the graph of y = cos x is shown as a dashed line.

On the grid below, draw the graph of y = cos (x – 90°) for 0° x 360°

On the grid below, draw the graph of y = 1 + cos x for 0° x ≤ 360°

Rita tries to draw the graph of y = cos (–x) for 0° ≤ x 360° Here is her graph.

Give a reason why Rita’s graph is incorrect.

Here is triangle ABC on a grid.

Describe a single transformation of the triangle so that point B is invariant point A moves to (1, 1) point C moves to (1, – 1)