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

Calculate the following.

3·5% of 159·8

B is the midpoint of the line AC.

Find the coordinates of C.

C (_........ ,_........ )

A and B are two vertices of a right-angled triangle. Point D is to be plotted on the grid above so that the triangle ABD is a right-angled triangle. The x-coordinate of D is negative. Give the coordinates of a possible position of the point D that can be plotted on the grid

above.

D (_........ ,_........ )

Two fair spinners are shown in the diagram above. In a game, the two spinners are spun.

The two numbers obtained are multiplied together to get a score. For example, in the diagram above, the score is 6 because 3 2 6.

Some of the scores are shown in the table below.

Complete the table to show all the possible scores.

Explain why all the scores are even numbers.

What is the probability that a person gets a score of 10 or more when playing the game

once?

The length of a rectangle is double its width. The area of the rectangle is greater than 60 cm². The perimeter of the rectangle is less than 40 cm.

Give a possible width and length of the rectangle. Calculate the area and the perimeter of this rectangle. You must show all your working.

Use the answer spaces to clearly identify which is the area and which is the perimeter.

Reflect the shape below in the line x 1.

Rotate the shape below through 90° clockwise about the point (–1, 1).

Expand 43p 5.

Make m the subject of the formula w 8m 3.

Expand and simplify y 5y 4.

A car travels 129·5 miles in 3 hours 30 minutes. Calculate the average speed of the car.

Give your answer in miles per hour.

The height of a cylinder is 24·8 cm. The ratio of the diameter of the cylinder to the height of the cylinder is 3: 2.

Find the volume of the cylinder. Give your answer correct to 2 significant figures.

You must show all your working.

Factorise x² 13x 40.

Explain how you can check that your answer to part (i) is correct.

The diagram below shows a right-angled triangle.

Calculate the value of x.

The diagram below shows a different right-angled triangle.

Calculate the value of y.

Show that 5x³ 15x 132.

A solution of the equation

lies between 2 and 3. Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

Hence, find the height of the cuboid.