WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate November 2022 question paper 3300U40-1

Translate the shape below 2 squares to the left and 4 squares down.

Calculate the value of 7p 6q when p = −9·2 and q = 4·7.

Laura puts 90 counters in a bag.

Each counter is red or blue or yellow.

Laura wants to draw a pie chart to show the number of counters of each colour. The table below shows some of the information that she needs.

Complete the table.

You must show all your working.

Complete the pie chart to show the results.

Laura chooses a counter at random from the bag.

Calculate the probability that this counter is either red or blue.

Write 0·034 35 correct to two significant figures.

Circle your answer.

0·03 0·033 0·0344 0·034 0·034 00

Convert 6∙7 m² into cm².

Circle your answer.

670 6700 67 000 670 000 6 700 000

Factorise 12e 15.

Circle your answer.

27e 34e 5 12e 15 5(12e + 3) 150 8e 3

Find the whole number that satisfies all of the following conditions:

• It is a whole number between 15 and 35 inclusive. • The number is a multiple of 2 but not a multiple of 4.

• 3 is a factor of this number, but 9 is not a factor of this number.

The whole number is_{……………………………………}

125 pupils were asked which one of four primary schools they attended.

One of the pupils is chosen at random.

Complete the table below to find the probability that the pupil chosen went to

Ysgol Bryn.

How many of the 125 pupils went to Ysgol Dewi?

Point A and point B are shown in the scale drawing below.

Point C is 35 km from point B on a bearing of 300°.

Complete the scale drawing to show the position of point C.

Use your scale drawing to calculate • the actual length of AC, in kilometres,

• the bearing of point C from point A.

Express 21·76 as a percentage of 32.

Solve 5t 3 3t 14.

A solid metal cylinder has a radius of 2∙3 cm and a height of 5 cm.

The mass of the cylinder is 423·1 g.

Find the density of the metal.

Give your answer in g/cm³.

A, B and C are points on the circumference of a circle with centre O.

The length of BC is 10 cm. The diameter of the circle is 18 cm.

Calculate the shaded area.

You must show all your working.

The rectangle below has: • a length of 3y • a width of y + a • an area of 3y² +12y.

Find the value of a.

You must show all your working.

Another rectangle has a width of 4x 10.

Given that x is a whole number, explain why the value of x cannot be less than 3.

The perimeter of the rectangle is 14x 4.

Find the length of the rectangle in terms of x.

Calculate the length of the side YZ in the triangle XYZ shown below.

Two times are recorded correct to the nearest 0·1 second.

Calculate the greatest possible difference between these times.

A number has been increased by 60% to give an answer of 64.

What was the original number?

Bag A and Bag B contain only red and blue balls.

The probability of choosing a red ball from Bag A is . The probability of choosing a red ball from Bag B is 0∙25.

A ball is chosen at random from each bag.

Complete the tree diagram below.

Find the probability that the two balls chosen are the same colour.