WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate November 2019 question paper 3300U30-1

Complete each row of the following table.

The first row has been completed for you.

Write 7%, and 0·3 in ascending order.

You must show all your working.

Calculate the value of 3 x + 4 y when x = −6 and y = 5.

Simplify the expression 9g – 4f – 3g – 5f.

Solve the equation 3m − 7 = 8.

Expand 4(3x – 5).

Calculate the size of angle x.

Hence, give the bearing of point B from point A.

A group of pupils is asked whether they can speak Welsh, French, both languages, or neither language.

Their answers are shown in the Venn diagram below. The universal set, , contains all the pupils in the group.

How many of the pupils cannot speak French?

One pupil from the group is chosen at random.

What is the probability that this pupil can speak both Welsh and French?

Find the whole number which satisfies all of the following conditions:

• It is a whole number between 1 and 40 inclusive.

• The number is a multiple of 4 but not a multiple of 8.

• 3 is a factor of this number.

• The number is a square number.

The whole number is_{……………........ ………..}

What is the total mass when 534 g is added to 3·5 kg?

Circle the correct answer.

4·034 g 4·034 kg 537·5 g 537·5 kg 884 g

What is the total length when 35 cm is added to 7·8 m?

Circle the correct answer.

113 cm 42·8 m 42·8 cm 815 cm 815 m

How many mm³ are there in 4 cm³?

Circle the correct answer.

Express 60 out of 300 as a percentage.

Some people were asked a question.

40% of the people answered ‘Yes’. A sketch of a pie chart showing this information is shown below.

Calculate the size of angle x so that the pie chart can be drawn accurately.

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

The diagram below shows a rectangle ABCF and a trapezium CDEF. AF = 7 cm, ED = 8 cm and the perpendicular distance between FC and ED is 6 cm. The area of the rectangle ABCF is 91 cm².

7 cm

A B

Diagram not drawn to scale

Calculate the area of the trapezium CDEF.

You must show all your working.

200 young people are taking part in a conference held at Aberystwyth.

One of the young people is chosen at random to be the chairperson.

Complete the table below to find the probability that the person chosen lives outside the

United Kingdom (UK).

How many of the 200 young people live in Mid Wales?

Describe fully the single transformation that transforms triangle A onto triangle B.

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

The exterior angle of a regular polygon is 36°.

How many sides does the polygon have?

Calculate the sum of all the interior angles of this regular polygon.

Write down the first three terms of the sequence whose nth term is given by n² – 6.

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

5, 11, 17, 23, …

Circle the correct answer for each of the following.

81 =

2·1⁵ =

32·5 10·5 40·84101 30·84101 32·1

6·48 3·6 4·32 3·3 2·16

Using only a ruler and a pair of compasses, construct a triangle PQR, so that it satisfies both of the following conditions: • PQR = 60°, • PQ = 7 cm.

Side QR has been drawn for you.

Using only a ruler and a pair of compasses, construct a line from the point A that is

perpendicular to the line LM.

Dylan is having a weekend break in Wrexham.

The probability that he will visit Erddig Gardens is 0·7. The probability of Dylan going to the Bersham Heritage Centre is independent of him visiting Erddig Gardens.

The probability that he visits Erddig Gardens and goes to the Bersham Heritage Centre is 0·28.

Complete the following tree diagram.

Calculate the probability that Dylan visits Erddig Gardens but does not go to the Bersham

Heritage Centre.

In the following formulae, each measurement of length is represented by a letter.

Consider the dimensions implied by the formulae. For each case, write down whether the formula could be for a length, an area, a volume or none of these.

The first one has been done for you.

3·14r² − dw
area

w³ + r²d_{………........ …………..}

3w + 2d + h_{………........ …………..}

dhr + 5d³_{………........ …………..}

4d + πr²_{………........ …………..}

Factorise x² + 4x – 21. Hence, solve x² + 4x – 21 = 0.

Write down the greatest possible value of length a.

Give your answer in mm.

Calculate the greatest possible value of length b.

Give your answer in mm.

Calculate the least possible value of length c.

Give your answer in mm.