AQA GCSE Maths Paper 2: Calculator Higher November 2017 question paper 8300/2H

Circle the fraction that is equivalent to 3.875

What is 50 as a percentage of 20? Circle your answer.

10% 40% 150% 250%

Circle the point that does not lie on the curve y = x³

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

The graph shows information about prisms with the same volume.

Give one example to show the volume is 24 cm³

The diagram shows a prism with volume 24 cm³ The height of the triangular cross section is h.

Work out the height, h.

Describe fully the single transformation that maps triangle A to triangle B.

The table shows information about the distances walked by 120 students on their way to school one week.

Work out an estimate for the mean distance.

Work out the size of angle x.

Work out the next term of this quadratic sequence.

5 8 14 23 ……

Circle the expression that is equivalent to

The table shows information about the UK and Germany.

Compare the population densities of the UK and Germany.

Two straight lines intersect at point P.

Circle the coordinates of P.

A ball is thrown from a height of 15 metres. It bounces to height h₁, then to height h₂ as shown.

h₁ is three quarters of the original height.

Jack expects h₂ to be three quarters of h₁ Work out the value of h₂ that he expects.

In fact, h₂ is two thirds of h₁ How does this affect the answer to part (a)?

Show working to support your answer.

Mirek invests £6000 at a compound interest rate of 1.5% per year. He wants to earn more than £1000 interest. Work out the least time, in whole years, that this will take.

Factorise fully 9y³ – 6y

Factorise 3x² – 22x + 7

Work out the area of the parallelogram.

Which of these represents the shaded region? Circle your answer.

Which of these represents the shaded region? Circle your answer.

The length of a rectangle is five times the width.

Work out the width of the rectangle.

A stone is thrown upwards with a speed of v metres per second. The stone reaches a maximum height of h metres.

When v = 10, h = 5 Work out the maximum height reached when v = 24

Meera is using a graphical method to solve 2x² – 3x = 0 She draws the graph of y = 2x² and a straight line graph on the same grid.

Complete her method to solve 2x² – 3x = 0

Levi is solving 2x² + 5x = 0 He uses this method. 2x² + 5x = 0 subtract 5x from both sides 2x² = –5x divide both sides by x 2 x = –5 divide both sides by 2 x = –2.5 Evaluate his method and his answer.

The cross section of an earring is a semicircle, centre C, radius 25 mm The earring is black and white. The shaded area is black.

Sector BCD is white and has radius 12 mm

Is more than 20% of the semicircle white?

You must show your working.

Here is some information about a tennis club.

There are 30 members with A < 20 There are 12 members with 65 A < 80 There are no members with A 80

Complete the histogram.

Work out the total number of members of the club.

Beth ran a 200 metre race. Here is a graph of the first 8 seconds of her race. She completed the race at a constant speed of 9 m/s

Amy completed the race in 27 seconds. Did Beth finish before Amy? You must show your working.

The dimensions of a rectangular floor are to the nearest 0.1 metres.

A force of 345 Newtons is applied to the floor. The force is to the nearest 5 Newtons.

Work out the upper bound of the pressure. Give your answer to 4 significant figures. You must show your working.

ABCDE is a pentagon.

Show that BCDE is a parallelogram.

Give your solutions to 2 decimal places. You must show your working.