WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate November 2021 question paper 3300U30-1

Calculate the size of angle x in the right-angled triangle shown below.

Diagram not drawn to scale

ABCD is a quadrilateral. BE is a straight line.

Calculate the size of angles a and b.

Circle the correct answer to complete each of the following statements.

0·02 × 0·8 is equal to

0·016 0·16 1·6 0·4 4

1·5% can be written as

Give your answer in its simplest form.

Calculate the value of 3³ ÷ 2².

Give your answer as a decimal.

A cuboid measures 5 cm by 3 cm by 2 cm.

Calculate the volume of the cuboid.

Give your answer in cm³.

Calculate the total surface area of the cuboid.

Give your answer in cm².

A number n is added to the square root of 81. The answer is equal to 7 squared.

What is the value of n?

AB and CD are parallel.

Calculate the value of x.

Write down four positive whole numbers in the boxes below so that:

• the range of the numbers is 6, • the mean of the numbers is 5,

• the median of the numbers is 4.

Express 54 miles as a percentage of 300 miles.

A car travels 100 miles in 2 hours and 30 minutes.

Calculate its average speed in miles per hour.

The sizes of angles a and b in the triangle shown below are in the ratio 2: 3.

Diagram not drawn to scale

Calculate the size of each of the angles a and b.

You must show all your working.

Find the Lowest Common Multiple (LCM) of 60 and 72.

LCM of 60 and 72 is_{…………........ ……….}

Express 882 as a product of its prime factors.

Give your answer in index form.

Complete the table below.

Draw the graph of y = 7 − x² for values of x between −2 and 4.

Use the graph paper below.

Rearrange the following formula to make k the subject.

p = 3k + 2

Does the midpoint of the straight line joining points (3, 15) and (7, 19) lie on the line y = 3x + 2?

You must show all your working.

Express 0·0058 in standard form.

Give your answer in standard form.

A group of people have put their names forward to carry the Welsh flag at a sporting event.

Each person lives in North Wales, Mid Wales or South Wales.

One person from the group is chosen at random. The probability of choosing a person who lives in North Wales is 0·3. The probability of choosing a person who lives in Mid Wales is 0·25.

The probability of choosing a person who is under 18 years old is 0·2.

The people’s ages are independent of where they live.

What is the probability of choosing a person who lives in South Wales and is under

18 years old?

The diagram below shows an isosceles triangle and a square.

Perimeter of triangle = 19 cm

Diagram not drawn to scale

Use an algebraic method (not trial and improvement) to find the value of x and the value of y

You must show all your working.