WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate June 2023 question paper 3300U30-1

Write , 9% and 0.3 in ascending order.

You must show all your working.

Solve the following equations.

3x 10 17

Simplify 6 f 4g 2 f 9g.

Which of the following is nearest in mass to 5 kg?

Circle the correct answer.

7 lb 11 lb 15 lb 19 lb 23 lb

Rhian is n years old.

Samir is 7 years younger than Rhian. Nigel is twice as old as Samir.

Write down an expression, in terms of n, for Nigel’s age.

The mean of four numbers is 7.

What is the total of the four numbers?

Find a set of four numbers such that:

• their mean is 7 • their range is 6.

Write your four numbers in the boxes below.

Find the size of each of the angles a, b and c.

Express 48 as a percentage of 400.

Share £45 in the ratio 8: 1.

£_........ and £_........

Express 1 as a single fraction in the form , where a and b are integers.

A number machine is shown below.

For a given INPUT number, there will be an OUTPUT number. The OUTPUT is then put back in the number machine as the next INPUT. This process is then repeated many times.

The first INPUT number is 512.

What will be the first OUTPUT number that is less than 300?

Rotate the shape shown below by 90° anticlockwise about the origin.

Write down the column vector that will reverse the translation in part (i).

Express 675 as a product of its prime factors in index form.

360 expressed as a product of its prime factors in index form is 2³ × 3² × 5.

What is the smallest whole number that 360 can be multiplied by to give a square

number?

Smallest whole number is_........

Simplify each of the following. Circle your answer in each case.

m⁴ m³

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

List all of the integers that satisfy the following inequality.

13 < 2 n < 19

R is a point on the line LM.

Using only a ruler and a pair of compasses, construct an angle of 90° at point R.

Using only a ruler and a pair of compasses, construct a perpendicular line from the point

P to the line XY.

Two time periods are measured as 4 hours 40 minutes and 2 hours 50 minutes.

Each measurement is correct to the nearest 10 minutes.

What is the least possible sum of these two time periods?

Give your answer in hours and minutes.

Answer =_........ hours_........ minutes

Whitney walks, cycles or travels on the bus to work each day.

On any randomly chosen day: • the probability that she walks to work is 0·25 • the probability that she cycles to work is 0·45.

At work, the probability that there will be a fire drill on any randomly chosen day is 0·04.

How Whitney travels to work is independent of whether or not there is a fire drill.

Complete the tree diagram shown below.

On a randomly chosen day, what is the probability that Whitney walks to work and there

is a fire drill?

Express 0·0076 in standard form.

Calculate the value of (3 × 10¹⁷) × (2 × 10⁻¹²).

Give your answer in standard form.

Calculate the value of (2·3 × 10⁴) + (5 × 10³).

Give your answer in standard form.

What percentage of the whole circle is shaded?

You must show how you calculated your answer.

What tangent property of circles did you use in order to answer part (a)?