AQA GCSE Maths Paper 1: Non-calculator Higher November 2018 question paper 8300/1H

Simplify 5⁴² Circle your answer.

Circle the volume, in cm³, of a cylinder with radius 5 cm and height 8 cm 40 π 80 π 200 π 1600 π

Simplify 16a² ÷ a + 3a × 2 Circle your answer.

22 a 8 a 38 a 2 a

Circle the value of cos 30°

Give your answer as a mixed number.

A ship is sailing in a straight line from its home port. The distance-time graph shows 4 hours of the journey.

Work out the speed of the ship during these 4 hours.

The sum of the angles in any quadrilateral is 360° For example, in a rectangle 4 × 90° = 360° Zak writes, 5 × 90° = 450° so the sum of the angles in any pentagon must be 450° Is he correct?

Show working to support your answer.

Kim works at an airport in the UK. She records the number of planes landing between 10 am and 2 pm each day. The table shows the data for the first 10 days in January.

The airport was affected by fog on one of the days. Which day do you think it was? Give a reason for your answer.

Kim uses the data to predict how many planes will land at the airport in a year. In her method, she uses an estimate of 150 planes in each 4-hour period throughout the day assumes the same number of planes each day. Work out her prediction.

In fact, fewer planes land in winter than in summer fewer planes land at night than during the day. What does this tell you about Kim’s prediction? Tick one box.

Give a reason for your answer.

Work out the value of a.

Work out the percentage increase from 80 to 280

Here are four triangles.

Which two triangles are congruent? Circle two letters below.

A B C D

Solve x² – x – 12 = 0

e: f = 2: 3 and f: g = 5: 4 Work out e: g Give your answer in its simplest form.

A and B are two events. Some probabilities are shown on the Venn diagram.

Work out P(A^/ U B)

In a survey, queuing times at supermarket checkouts were recorded. One morning, samples of 50 customers were taken at supermarkets A, B, C and D. The box plots represent the results.

On average, which supermarket had the lowest queuing times? Give a reason for your answer.

Reason

At which supermarket were the queuing times most consistent? Give a reason for your answer.

Circle the number that is closest to the value of 29³

27 000 90 2700 9000

Beth and Mia translate documents from Spanish into English. A set of documents that would take Beth 8 days would take Mia 10 days. Beth starts to translate the documents. After 2 days Beth and Mia both work on translating the documents. How many more days will it take to complete the work? You must show your working.

In a chess club, there are x boys and y girls.

If 5 more boys and 8 more girls join, there would be half as many boys as girls. Show that y = 2 x + 2

If instead, 10 more boys and 1 more girl join, there would be the same number of boys and girls. Work out x and y.

x =

y =

P, Q, R and S are points on a circle. PXR and QXS are straight lines.

Prove that QS is not a diameter of the circle.

Here are the first four terms of a quadratic sequence. 11 26 45 68

Work out an expression for the n th term.

You must show your working.

x =

Prisms A and B are similar. The cross sections are shaded. Prism A Prism B

area of the cross section of A: area of the cross section of B = 4: 9 Work out the area of the cross section of B.

where c and d are integers.

A quadratic curve intersects the axes at (–3, 0), (3, 0) and (0, 18)

Work out the equation of the curve.

Work out the value of w.

Here is a sketch of y = cos x for values of x from 0° to 360°

α ° is an acute angle. cos α ° = k

Circle the value of cos (180° – α °)

1 – k k – k –1 – k

Circle the value of cos (360° + α °)

k – 1 k + 1 – k k