AQA GCSE Maths Paper 3: Calculator Higher November 2017 question paper 8300/3H

Circle the inequality shown by the diagram.

y is 100% more than x. Circle the ratio x: y

1: 100 100: 1 1: 2 2: 1

The first four terms of a sequence are –10 –8 –6 –4 Circle the expression for the n th term of the sequence.

–12 – 2 n –8 – 2 n n + 2 2 n – 12

Circle the equation of the line that is parallel to the x-axis.

y = –5 x – y = 0 x = 3 x + y = 0

Multiply out and simplify (x 8)²

Show that 268 can be written as the sum of a power of 3 and a square number.

Here is some information about the times taken by 40 people to fill in a form.

Time, t minutes	Number of people
0 < t 5	3
5 < t 10	9
10 < t 15	11
15 < t 20	17

In which class interval is the median? Circle your answer.

ABCD is a parallelogram. AB = BP

Work out the size of angle x.

Rearrange v = u + at to make t the subject of the formula.

Complete this table with consistent metric units.

Construct a locus of points that are the same distance from points A and B.

42 men and 38 women visit a restaurant. 44 of these people have a voucher. Three times as many men as women do not have a voucher.

Complete the frequency tree.

A voucher takes 15% off the bill. After using the voucher, the bill for a meal is £27.20 How much was the bill before using the voucher?

The distance by road from Newport to London is 140 miles. Tom travels by coach from Newport to London. The coach leaves Newport at 1.30 pm

He assumes the coach will travel at an average speed of 50 mph Use his assumption to work out the arrival time in London.

In fact, the coach has a lower average speed. How does this affect the arrival time?

Here is some information about the length of time cars stayed in a car park.

Shortest time 30 minutes Lower quartile 2 hours Longest time 12 hours Interquartile range 3 hours Median time 4 hours

Draw a box plot to show this information.

In the Venn diagram ξ represents 31 students in a class C is students who have a cat D is students who have a dog

One student from the class is picked at random. Work out the probability that the student has a dog.

One of the students who has a cat is picked at random. Work out the probability that this student has a dog.

Circle the highest common factor (HCF) of 6xy² and 4x³y

f(x) = x² – x³ Circle the value of f(–3)

18 –18 36 –36

At a football game number of men: number of women: number of children = 13: 5: 7 There are 4152 more men than women. Work out the number of children at the game.

Expand and simplify (3x² + 2)(2x + 5) – 6x(x² – 3)

A, B and C are points on a circle. CD is a tangent to the circle.

Write down the size of angle x. Give a reason for your answer.

w is a positive number. x is 10% more than w. y is 10% less than x. Which statement is true? Tick one box.

N is a number. As a product of prime factors in index form N = 2 × 3⁴ × y³ Work out 3N² as a product of prime factors in index form. Give your answer in terms of y.

Here is a triangle.

Work out the length PR.

Joe draws this graph to identify the region R represented by

Make two criticisms of his graph.

Criticism 1

a: b = 9: 4 and 10 b = 7 c Work out a: c in its simplest form.

Liquid is leaking out of a container. The graph shows the depth of the liquid for 60 seconds.

Use the graph to work out an estimate of the rate of decrease of depth at 10 seconds. You must show your working.

a² – b² ≡ (a + b)(a – b) a and b are positive whole numbers with a > b a² – b² is a prime number. Why are a and b consecutive numbers?

VABCD is a square-based pyramid. The horizontal base ABCD has side length 10 cm and centre M. Angle VMA is 90° Angle VAM is 68°

× area of base × perpendicular height

Work out the volume of the pyramid.

x – 1 28 y = p × q where p and q are numbers. y = 10 when x = 1 y = 0.3125 when x = 6 Work out the value of y when x = 3

Here is the graph of y = f(x) where f(x) is a quadratic function.

Write down all the integer solutions of f(x) 0

g(x) = 6x² + 3 for all values of x. Work out fg(x). Give your answer in the form ax² + b where a and b are integers.