Edexcel GCSE Maths Paper 1: Non-calculator Higher June 2018 question paper 1MA1/1H

Give your answer as a mixed number in its simplest form.

In a village

the number of houses and the number of flats are in the ratio 7: 4 the number of flats and the number of bungalows are in the ratio 8: 5

There are 50 bungalows in the village.

How many houses are there in the village?

Renee buys 5 kg of sweets to sell. She pays £10 for the sweets.

Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p.

Renee sells all the bags of sweets.

Work out her percentage profit.

A cycle race across America is 3069.25 miles in length.

Juan knows his average speed for his previous races is 15.12 miles per hour. For the next race across America he will cycle for 8 hours per day.

Estimate how many days Juan will take to complete the race.

Juan trains for the race. The average speed he can cycle at increases. It is now 16.27 miles per hour.

How does this affect your answer to part (a)?

Here is a solid square-based pyramid, VABCD.

The base of the pyramid is a square of side 6 cm. The height of the pyramid is 4 cm. M is the midpoint of BC and VM = 5 cm.

Draw an accurate front elevation of the pyramid from the direction of the arrow.

Work out the total surface area of the pyramid.

A pattern is made from four identical squares.

The sides of the squares are parallel to the axes.

Point A has coordinates (6, 7) Point B has coordinates (38, 36) Point C is marked on the diagram.

Work out the coordinates of C.

Shape T is reflected in the line x = −1 to give shape R. Shape R is reflected in the line y = −2 to give shape S.

Describe the single transformation that will map shape T to shape S.

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3: 4: 5

Work out the area of the triangle.

Write down the value of 36

The table gives some information about the heights of 80 girls.

Draw a box plot to represent this information.

Work out an estimate for the number of these girls with a height between 133 cm and 157 cm.

A and B are points on a circle, centre O.

BC is a tangent to the circle. AOC is a straight line. Angle ABO = x °.

Find the size of angle ACB, in terms of x. Give your answer in its simplest form. Give reasons for each stage of your working.

Prove that the square of an odd number is always 1 more than a multiple of 4

Find the value of a.

y is inversely proportional to d² When d = 10, y = 4

d is directly proportional to x² When x = 2, d = 24

Find a formula for y in terms of x. Give your answer in its simplest form.

Factorise a² − b²

Hence, or otherwise, simplify fully (x² + 4)² – (x² – 2)²

There are only red counters, blue counters and purple counters in a bag. The ratio of the number of red counters to the number of blue counters is 3: 17

Sam takes at random a counter from the bag. The probability that the counter is purple is 0.2

Work out the probability that Sam takes a red counter.

Here is the graph of y = sin xƒ for −180 x ≤ 180

On the grid, sketch the graph of y = sin xƒ – 2 for −180 ≤ x ≤ 180

The point P has coordinates (3, 4) The point Q has coordinates (a, b)

A line perpendicular to PQ is given by the equation 3 x + 2 y = 7

Find an expression for b in terms of a.

n is an integer such that 3n + 2 14 and 1 Find all the possible values of n.