WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate June 2022 question paper 3300U30-1

Calculate each of the following.

3² 2³

124 4

15% of 280

Write 0·3, and 31% in ascending order.

You must show all your working.

Smallest value
Greatest value

Calculate the size of angle x.

You must show all your working.

Imran is 9 years older than Glyn. Glyn is twice as old as Sheila. The sum of the three ages is 49 years.

How old are Imran, Glyn and Sheila?

Imran =_........ years old. Glyn =_........ years old. Sheila =_........ years old.

Find a whole number value of n, so that 7n 9 is a multiple of 4.

You must show all your working.

When n =_........ , 7n 9 is a multiple of 4.

Find a whole number value of n, so that 3n 5 is a prime number.

You must show all your working.

When n =_........ , 3n 5 is a prime number.

A bag contains red balls, green balls and yellow balls. The number of green balls is equal to the number of yellow balls.

Mali picks one ball from the bag at random. The probability that she will pick a red ball is 0·3.

Find the probability that Mali will pick a yellow ball.

A different bag contains 10 balls. Some of the balls in the bag are blue. All the other balls are white. Morgan picks a ball from the bag at random. He says,

Explain why Morgan cannot be correct.

Solve each of the following equations.

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

A rectangle and a trapezium are shown below.

The area of the rectangle = 48 m². The width of the rectangle is represented by x. The height of the trapezium is twice the width of the rectangle.

Calculate the area of the trapezium.

You must show all your working.

Write down four whole numbers so that: • they are all between 1 and 15 inclusive • they have a mode of 7 • they have a median value of 8·5 • their mean is 9.

Write your numbers in the boxes below.

The table below shows some of the values of y x² x 4 for values of x from –3 to 3.

x	–3	–2	–1	0	1	2	3
y x2 x 4	2	–2		– 4		2	8

Complete the table by finding the values of y for x = –1 and for x = 1.

On the graph paper opposite, draw the graph of y x² x 4 for values of x from

–3 to 3.

The children in year 5 and year 6 in a primary school took part in a survey.

The children were asked, “How many pets do you have?” The results are shown in the pie chart and bar chart below. No child in either year had more than 5 pets.

There are 36 children in year 5.

One child is chosen at random from all the children in year 5 and year 6.

What is the probability that this child has no more than 1 pet?

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

A and B are independent events.

The probability of event A occurring is 0·6. The probability of event A and event B occurring is 0·48.

Calculate the probability of neither event A nor event B occurring.

In the diagram: • AB and ED are parallel • triangles ABC and DEC are similar.

Calculate the length of CE.

Calculate the length of AB.

Solve the following simultaneous equations using an algebraic (not graphical) method.

You must show all your working.

Circle the correct answer for each of the following statements.

7·2 m³ is equal to

720 cm³ 72 000 cm³ 7·2 10⁵cm³ 7·2 10³cm³ 7·2 10⁶cm³

Write your answer as a decimal.