WJEC GCSE Mathematics Unit 1: Non-calculator Higher November 2018 question paper 3300U50-1

Expand 3x(x² – 2).

Make g the subject of the formula f = 2 – 3g.

Solve 7x – 3 < 29.

What is the greatest integer value of x that satisfies the above inequality?

Calculate the value of the reciprocal of 0.2. (b)

The diagram below shows an empty cylinder, with radius 10 cm and height 20 cm.

Using = 3.14, calculate the volume of the cylinder. (a)

What is the greatest whole number of litres that this cylinder can hold?

Five numbers are listed below.

3 3 6 13 15

Write down another set of five positive whole numbers such that

• all the numbers are less than 20, • the median of the new set of numbers is greater than the median of the set shown above, • the mean of the new set of numbers is less than the mean of the set shown above, • the range of the new set of numbers is less than the range of the set shown above.

Your set of whole numbers must be written in the boxes.

Space for working:

My five positive whole numbers are

Circle the correct answer for each of the following statements.

35² 15² 15 35 15⁴

3^{– 4} is equal to

How many ‘sixes’ were thrown in the first 600 throws of the dice?

How many more ‘sixes’ were recorded for these 600 throws than you would expect

when a fair six-sided dice is thrown 600 times?

A cuboid has sides x cm, 5 cm and 7 cm.

The total surface area of the cuboid is 142 cm².

Form an equation in terms of x.

Solve the equation to find x.

Describe fully the single transformation which maps triangle A onto triangle B.

Using the axes below, find the region which satisfies the following inequalities.

y + 2x 1

Rearrange the following formula to make c the subject.

In the diagram below, AC and BD are diameters of a circle, centre O.

AO = 30 cm and AOB = 20°.

A second circle has an area which equals the total shaded area above.

Calculate the radius of the second circle.

Simplify the following expression.

A box contains 4 red balls, 5 yellow balls and 1 green ball.

Two balls are to be chosen at random, without replacement.

Find the probability of choosing 1 red ball and 1 green ball.

Find the probability that the two balls chosen will not be the same colour.

The graph shows a sketch of the curve with equation y = x² + 2.

The lowest point of the curve has coordinates (0, 2).

On the same axes, sketch the graph of the curve with equation y = (x – 4)² + 2.

Indicate clearly the coordinates of the lowest point on the new curve.