WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate June 2017 question paper 3300U40-1

Calculate 39% of £576.

Give your answer correct to the nearest whole number.

How many quarters are there in 10?

Circle the fraction that is a recurring decimal.

Circle either TRUE or FALSE for each of the following statements.

Calculate the answer when,

‘the largest prime number that is a factor of 28’ is multiplied by

‘the smallest prime number that is factor of 15’.

The diagram below shows a number machine.

Using the number machine, calculate:

the INPUT when the OUTPUT is 36,

the OUTPUT when the INPUT is n.

Write down three integers, all less than 25, whose

• range is 8, and

• mean is 13.

The three integers are_{……........ …..},_{……........ …..} and_{……........ …..}

Write down the first three terms of the sequence whose n th term is given by 2 n – 5.

The first three terms are_{……........ …..},_{……........ …..} and_{……........ …..}

Write down an expression for the nth term of the following sequence.

7, 11, 15, 19,...

A dice is thrown 50 times.

The number shown on the dice is recorded after each throw. The table below shows the results recorded.

The relative frequency of throwing a 1 was calculated as = 0.18. What was the relative frequency of throwing a 6?

Give your answer as a decimal.

The number 4 was thrown 7 times in the first 50 throws. Using this fact, calculate how many times you would expect a 4 to be thrown when this

dice is thrown 3000 times.

How many times would you expect a 4 to be thrown when a fair dice is thrown 3000

times?

ABCDE is a regular pentagon with centre O.

Calculate the size of angle x.

You must show all your working.

Look at the diagram below.

The expression in each circle is found by adding the expressions in the rectangles on either side of the circle. Complete the diagram by writing expressions in the blank circles and the blank rectangle.

You must simplify your expressions.

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

ABCF is a rectangle. CDEF is a trapezium. BD is a straight line.

AB = 7 cm, BD = 9 cm and DE = 3 cm. The perimeter of rectangle ABCF is 24 cm. Calculate the area of the trapezium CDEF.

You must show all your working.

Calculate the reciprocal of −0.07, correct to 1 decimal place.

Show that the triangle below is not a right-angled triangle.

Diagram not drawn to scale

A solution to the equation

lies between 3 and 4.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

A right-angled triangle LMN is shown below.

LN = 16.9 cm and LM = 6.5 cm.

Calculate the length MN.

Calculate the length of the side QR in the triangle PQR shown below.

100 boxes each contain 10 balls.

45 of the boxes are labelled A. They each contain 7 black balls and 3 white balls.

25 of the boxes are labelled B. They each contain 4 black balls and 6 white balls.

The rest of the boxes are labelled C. They each contain 8 black balls and 2 white balls.

In a game, a player chooses a box at random, and then chooses a ball at random from that box.

Complete the tree diagram shown below.

What is the probability that a player will select a black ball?

If a large number of people played the game, approximately what fraction of them would you expect to choose a white ball?

Circle your answer.

Factorise x³ − 5x.

Expand and simplify (2x – 3)(x + 4).

Factorise x² − 3x – 28.

Circle the equation of a straight line that is perpendicular to the line y = 5x − 3.

Points A, B and C lie on the circumference of a circle, centre O.

ACB = 37°.

Calculate the size of the reflex angle AOB.

The area of triangle ABD, shown in the diagram below, is 35 cm².

AD = 5 cm and BC = 32 cm. D is on the line AC, and BD is perpendicular to AC.

Calculate the size of angle x.

You must show all your working.