WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate November 2020 question paper 3300U40-1

Evaluate 5·4³ × 3·7².

Give your answer correct to the nearest 10.

Find 62% of 7·8.

Which one of the following numbers is a multiple of 19?

Circle your answer.

91 151 199 219 247

Which one of the following numbers is a cube number?

Circle your answer.

1197 2197 3197 4197 5197

Write down the next two numbers in the following sequence.

Use the formula x = 4a + 3b to find the value of x when a = 7·2 and b = − 4·6.

Identical rods can be placed end to end, as shown below.

Each rod is 17·5 cm long.

How many of these rods can be placed, in this way, between two points 4 metres apart?

A game uses 15 coloured cards.

There are: • 5 red (R) cards numbered 1 to 5, • 5 yellow (Y) cards numbered 1 to 5, • 5 pink (P) cards numbered 1 to 5.

The cards are all placed in a box. One card is chosen at random from the box.

The grid below is used to show all the possible outcomes. Fill in all the spaces with a label or an outcome.

Some of the spaces have already been filled in.

What is the probability that the card chosen at random is a pink card showing a number

greater than 3?

Describe fully the single transformation that transforms shape A onto shape B.

Solve 5(2 x + 3) = 20.

Factorise 7a + 21.

A number machine is shown below.

Write down an expression for the OUTPUT when the INPUT is n.

Is it possible for an isosceles triangle to have an angle of 140°? Circle your answer.

You must give an explanation for your answer.

YES NO

Is it possible for a rhombus to have an angle of 120° and an angle of 30°? Circle your answer.

You must give an explanation for your answer.

YES NO

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

In the diagram below, ABCD is a rectangle with AB = 5 cm. ABP is a quarter of a circle with centre A. AP = PD.

Calculate the area of the shaded section shown above.

You must show all your working.

Caryl has two fair dice.

Dice A is a cube. It shows the numbers 1 to 6. Dice B is a tetrahedron. It shows the numbers 1 to 4.

Caryl throws both dice.

What is the probability that she throws a 5 on dice A and a 3 on dice B?

The diagram shows two right-angled triangles, joined together along a common side.

AB = 10·8 cm, BC = 14·4 cm and CD = 24 cm.

Calculate the area of triangle ACD.

You must show all your working.

A solution of the equation

lies between 7∙2 and 7∙3.

Use the method of trial and improvement to find this solution correct to 2 decimal places.

You must show all your working.

Data for different values of t are shown in the table below.

t	Frequency
0 t 5	8
5 t 10	0
10 t 15	7
15 t 20	5

Calculate an estimate for the mean value of t.

In the diagram below, AB, BC and CD are three sides of a regular polygon.

The polygon has 15 sides. The length of each side is 8 cm. The exterior angle of the polygon is x°. BRC is a right-angled triangle.

Calculate the length of BR.

Calculate the value of (3·2 × 10⁷) × (8·3 × 10⁻²).

Give your answer in standard form.

The lengths of the sides of a rectangle are given as 24 cm and 15 cm.

Each measurement is given correct to the nearest centimetre.

Calculate the difference between the greatest possible perimeter of the rectangle and the least

possible perimeter of the rectangle.

The diagram below shows a circle with centre at point O.

A, B, C and D are all points on the circumference of the circle. AB = 7·5 cm and BC = 4·7 cm.

Calculate the size of angle x.

Write down the size of angle y.

State the circle theorem you have used to find your answer.

Circle theorem used:_........