WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate June 2019 question paper 3300U40-1

Calculate each of the following.

1000 × (the reciprocal of 8)

Write 437·6 correct to 2 significant figures.

Find the value of 5 f + 7 g when f = 3·8 and g = −2·6.

Solve the following equation.

Give your answer correct to 1 decimal place.

7 x – 4 = 12

Circle the longest time period from the list given below.

180 minutes 4·5 hours 4 hours 45 minutes 4 hours th of a day

Circle the longest distance from the list given below.

30 000 mm 250 m 2 km 70 m 4 000 cm 2·4 km

Circle either TRUE or FALSE for each statement given below.

Catrin makes the following statement.

Is Catrin correct?

Show clearly, using an example, how you came to your decision.

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

18% of £256 is shared in the ratio 2: 1. Calculate the value of the larger share. Give your answer to the nearest 10p.

You must show all your working.

Factorise 7 ab + 11 a.

Factorise x² – 8x.

Expand 4y(2 – 3y).

The diagram shows two congruent triangles. The coordinates of each vertex are shown.

Find the value of a and the value of b.

Write down the n th term of the following sequence.

8, 11, 14, 17, ……

Make t the subject of the formula r = 3t – 8.

A rectangle has a length of (x + 5) cm and a width of (2x – 3) cm. Its perimeter is 46 cm.

Calculate the value of x.

Is it possible to draw a right-angled triangle with the measurements shown below?

You must use calculations (not a scale drawing) to support your answer.

You must show all your working.

Look at the following set of four numbers.

5 8 10 13

Find another set of four numbers so that:

• the range has increased by 2, • the mean remains the same, • the median has decreased by 1.

You may use some of the numbers from the original set, but not exactly the same four

numbers.

My four numbers are

A company has 3 sites based in Wales.

One is in Carno, one is in Holyhead and one is in Porth.

The pie charts below show the distribution of its 128 female staff and 72 male staff.

A person is chosen at random from the company’s 200 staff members.

What is the probability that this person works at the Porth site?

The Morgan family and the Smith family are on holiday in Aberystwyth.

There are 7 adults and 2 children in the Morgan family. There are 4 adults and 3 children in the Smith family.

Both families visit a Craft Centre. The entry price to the Craft Centre is £x for adults and £y for children.

The total cost for the Morgan family is £41.50. The total cost for the Smith family is £29.75.

Form two equations in terms of x and y.

Solve your equations, using an algebraic method, to find the entry price for adults and the entry

price for children.

A solution of the equation

lies between 1 and 2.

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

You must show all your working.

When a number is reduced by 15%, the answer is 6154.

What is the original number?