AQA GCSE Maths Paper 2: Calculator Higher November 2020 question paper 8300/2H

Which of these is a correct identity? Circle your answer.

Circle the reason why these triangles are congruent.

RHS ASA SSS SAS

Circle the number that is written in standard form.

Circle the expression that has the largest value when a –1

The time students spent watching TV was recorded. The table shows the average daily time per student each year from 2012 to 2019

A time series graph is drawn to represent the data. The first four points have been plotted.

Complete the graph.

Use the graph to estimate the average daily time per student in 2020

Work out the highest common factor (HCF) of 75 and 105

Here is the graph of y = x² – 7x + 10 for values of x from 0 to 7

Write down the roots of x 2 – 7 x + 10 = 0

Write down the x-coordinate of the turning point of the curve.

At a party there are 90 people. 48 are women and 42 are men. Some women leave. Some men arrive. The ratio of women to men is now 10: 11 Are there now more than 90 people at the party? Tick one box.

Show working to support your answer.

Here is a cuboid.

Assume that the total surface area of the cuboid is 200 cm 2 Work out the volume of the cuboid.

cm 3

In fact, the total surface area of the cuboid is smaller than 200 cm² What does this mean about the volume of the cuboid? Tick one box.

Alex and Bev sat six tests, each with 50 marks. The table shows their mean percentages after five tests.

After all six tests, their mean percentages were equal. In the sixth test, Alex scored 24 out of 50 Work out Bev’s score, out of 50, in the sixth test.

A solid piece of silver has mass 2.625 kilograms volume 250 cm 3 Work out the density of the piece of silver. Give your answer in grams per cubic centimetre.

g/cm 3

Work out the gradient of the straight line through (– 2, 3) and (1, 9)

The diagram shows a wall.

The area of the wall is 39.2 m 2 Work out the length of the wall.

A marathon takes place each year. In 2020 there were 6500 runners.

Prediction For each of the next 3 years the number of runners will increase by 5%

Does this predict that in 2023 there will be more than 7500 runners? You must show your working.

Rearrange a = + 5 to make c the subject.

On a restaurant menu there are 22 main dishes, of which are gluten-free 7 rice dishes, which are all gluten-free 5 naan breads, of which 40% are gluten-free. This Meal Deal is on the menu. Choose one main dish, one rice dish and one naan bread How many of the possible Meal Deals are totally gluten-free?

The cumulative frequency graph shows information about the masses of 200 apples.

Estimate the median mass.

Apples with mass 90 grams or less cost 32p each. Apples with mass more than 90 grams cost 39p each. Estimate the total cost of the 200 apples.

This shape is made from two right-angled triangles and a rectangle.

Work out the size of angle x.

a and b are positive values.

AB, BC, CD and DE are four of the sides of a regular decagon.

Work out the size of angle w.

Circle the point that is on the graph of y =

(– 1, 1) (0.3, 3) (0.8, 0.2) (2.5, 0.4)

Leo wants to draw the graph of y = 2^x for values of x from 0 to 4 Here is his graph.

Make one criticism of his graph.

One of these is the graph of y = 1 + sin x for 0° x 360° Circle the letter above the correct graph.

Right-angled triangle ABC is the cross section of a prism. AB = 5 cm BC = 12 cm M is the midpoint of CF. AM = 16 cm

Work out the volume of the prism.

Quadrilateral ABCD is shown.

Work out the coordinates of C when ABCD is rotated 90 ° clockwise about O then

Triangle PQR is shown.

When PQR is reflected in a line, P and R are invariant points. Circle the equation of the line.

y = x + 6 y = – x y = 2 x = – 4

Factorise 3 x 2 + 11 x – 20

Edith’s van can safely carry a maximum load of 920 kilograms. She wants to use her van to carry 30 sacks of potatoes, each of mass 25 kilograms to the nearest kilogram and 20 sacks of carrots, each of mass 7.5 kilograms to 1 decimal place. Can she definitely use her van safely in one journey? You must show your working.

These 20 discs are in a bag.

Two of the discs are taken at random from the bag. Work out the probability that the first disc has a smaller number than the second disc.

A horse runs in a field. The speed-time graph represents the first 12 seconds of the run.

After how many seconds had the horse run a distance of 75 metres?

Give your solutions to 3 significant figures. You must show your working.