WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate November 2017 question paper 3300U30-1

Calculate each of the following.

3⁴ × 10³

5.6 − 3.82

0.2 × 0.3

How many cubic centimetres (cm³) are there in 2·5 litres?

2.5 litres =_........ cm³

Write down the next two numbers in the following sequence.

Expand 5(3x – 2).

Solve 9x + 3 = 4x + 5.

Sara is in charge of a game at her school’s Christmas party.

Two fair spinners are spun as shown in the example below.

People can make a two-digit number using the numbers shown on the spinners using the following rule:

Multiply the number on the first spinner by 10 and then add the number on the second spinner.

One example, as shown above, makes the number 21, because 2 × 10 + 1 = 21.

How many different numbers can be made playing this game?

Write down all the prime numbers that can be made playing this game.

What is the probability that a person makes a prime number when playing the game

once?

Sara charges each person £1 to play the game once. Each player who makes a prime number from their spins wins £2.

How much profit would the school expect to make when 180 people play the game?

Look at the following descriptions of special quadrilateral shapes.

Circle the correct name for each one.

Its diagonals intersect at 90°.

Only one diagonal is a line of symmetry.

Kite Rhombus Square Trapezium Rectangle

Only one pair of sides are parallel.

Kite Rhombus Square Trapezium Rectangle

All four sides are equal.

Its diagonals are not equal in length.

Kite Rhombus Square Trapezium Rectangle

The sketch above can represent only one of the equations given below.

Circle this equation.

Enlarge triangle B by a scale factor of , using (0, 0) as the centre of enlargement.

Express 0·000 42 in standard form.

Give your answer in standard form.

Factorise x² – 7x – 18, and hence solve x² – 7x – 18 = 0.

A cylinder just fits inside a hollow cube with sides of length m cm.

The radius of the cylinder is cm. The height of the cylinder is mcm.

The ratio of the volume of the cube to the volume of the cylinder is given by

volume of cube: volume of cylinder

= k: ,

where k is a number.

Find the value of k.

You must show all your working.