AQA GCSE Maths Paper 1: Non-calculator Higher June 2017 question paper 8300/1H

Simplify 2⁵ × 2³ Circle your answer.

Circle the reason why these triangles are congruent.

SSS SAS ASA RHS

Which of these is a geometric progression? Circle your answer.

2, 4, 6, 8, 10
2, 3, 5, 8, 12

2, 6, 18, 54, 162
2, 6, 10, 14, 18

a: b = 4: 3 Circle the correct statement.

Write 36 as a product of prime factors. Give your answer in index form.

The table shows information about the times for 10 people to complete a task.

Time, t (minutes)	Frequency
0 t 20	1
20 t 40	6
40 t 60	3

These statements are about the mean and range of the actual times. Tick the correct box for each statement.

Work out the number.

x km/h = y mph

Use 8 km/h = 5 mph to write a formula for y in terms of x.

9

The mass of solid A is 6 times the mass of solid B. The volume of solid A is 3 times the volume of solid B.

Complete the sentence.

If the distance is halved and the time is doubled, what happens to the average speed? Circle your answer.

Solve the simultaneous equations.

2 x + y = 18

Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each

A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card.

Work out the total charge for these tickets when paying by credit card.

Here is a circle touching a square.

Work out the area of the circle. Give your answer in terms of .

Write the number six million five thousand two hundred in standard form.

Solve –3 x > 6

How many of these fractions convert to a recurring decimal? Circle your answer.

0 1 2 3 4

A fair spinner has five equal sections numbered 1, 2, 3, 4 and 5 A fair six-sided dice has five red faces and one green face. The spinner is spun. If the spinner shows an even number, the dice is thrown.

Complete the tree diagram for the spinner and the dice.

Spinner Dice

Work out the probability of getting an even number and the colour green.

A is the point (2, –5) B is the point (4, –9)

Show that the gradient of the straight line passing through A and B is –2

C is the point (–301, 601)

Does C lie on the straight line passing through A and B ? You must show your working.

Bottles of drink are for sale at three shops. The normal price of a bottle is the same at each shop.

What is the cheapest way to buy exactly 8 bottles? You can buy from more than one shop. You must show your working.

Here is some information about the marks of 60 students in a test.

On the grid, draw a cumulative frequency graph.

Use your graph to estimate the lowest mark of the top 20% of students.

Work out the diameter of the circle x² + y² = 64 Circle your answer.

8 16 32 128

The diagram shows rectangles A and B.

Rectangle A can be mapped to rectangle B by a single transformation.

Javed says, “The only single transformation is a reflection in the y-axis because the rectangles are on opposite sides of the y-axis.”

Is he correct? Tick a box.

Give a reason for your answer.

This diagram shows triangles CDE and PQR.

CDE is mapped to PQR by combining two single transformations. The first is a rotation of 90º anticlockwise about E.

Describe fully the second transformation.

PRT and QRS are similar triangles.

Circle your answer.

Here is a velocity-time graph of a motorbike for 25 seconds.

After how many seconds was the acceleration zero?

Work out the distance travelled in the last 15 seconds.

Work out 12 as an improper fraction.

In an office there are twice as many females as males. of the females wear glasses. of the males wear glasses. 84 people in the office wear glasses.

Work out the number of people in the office.

Expand and simplify (x 4)(2x + 3y)²

P (–1, 4) is a point on a circle, centre O

Work out the equation of the tangent to the circle at P. Give your answer in the form y = mx + c

A cone has a horizontal base of radius 5 cm height of 15 cm The cone contains water to a depth of 9 cm

Work out the volume of the water, in cm³ Give your answer in terms of π.