WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate November 2018 question paper 3300U30-1

1h 45m 80 marks

Calculators may not be used

Practise the past exam questions by topic

18 questions

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Question

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Consider the following list of numbers:

4 25 27 36 49 64 90 125

(a)

Using only the numbers in the list above, write down

(a)(i)

the three cube numbers,

[2]

Answer

Practise questions on Factors, multiples and primes 100 Qs

(a)(ii)

a number that is both a square number and a multiple of 9,

[1]

Answer

Practise questions on Factors, multiples and primes 100 Qs

(a)(iii)

a number that is a factor of 81.

[1]

Answer

Practise questions on Factors, multiples and primes 100 Qs

(b)

Using only two numbers from the list, fill in the spaces in the following statement:

‘Dividing_........ by_._........ and then rounding the answer to the nearest 10, gives an answer of 30.’

[1]

Answer

Practise questions on Factors, multiples and primes 100 Qs

(a)

Draw an accurate scale drawing of the triangle shown above.

$Question 2, shown as an image$

[3]

Answer

Practise questions on Measuring lengths and angles, bearings 39 Qs

(b)

Use your scale drawing to calculate the actual length of side BC.

Give your answer in metres.

Actual length of BC =_{………........ ……..} metres

[2]

Answer

Practise questions on Measuring lengths and angles, bearings 39 Qs

(a)

Simplify the expression 15 x – 2 y – 7 x – 4 y.

[2]

Answer

Practise questions on Forming and solving equations 48 Qs

(b)

Solve the equation 2m – 7 = 12.

[2]

Answer

Practise questions on Forming and solving equations 48 Qs

(c)

Calculate the value of 5f + 3g when f = −4 and g = 7.

[2]

Answer

Practise questions on Forming and solving equations 48 Qs

[4]

Answer

Practise questions on Area and perimeter 91 Qs

(a)

$Question 5, shown as an image$

You must show all your working.

[2]

Answer

Practise questions on Estimation and approximation 19 Qs

(b)

Given that 341 × 57 = 19 437, write down the answer to each of the following.

(b)(i)

3.41 × 5.7

[1]

Answer

Practise questions on Estimation and approximation 19 Qs

(b)(ii)

$Question 5, shown as an image$

[1]

Answer

Practise questions on Estimation and approximation 19 Qs

[5]

Answer

Practise questions on Probability experiments and frequency 92 Qs

(a)

What is the bearing of X from point P?

Circle the correct answer.

146° 326° 214° 034° 234°

[1]

Answer

Practise questions on Measuring lengths and angles, bearings 39 Qs

(b)

The diagram below shows 6 points on a map. The diagram is drawn to scale.

(b)(i)

A ship sails from point P on a bearing of 107°. It sails towards one of the five points A, B, C, D or E. Which of the five points is the ship sailing towards?

Circle the correct answer.

A B C D E

[1]

Answer

Practise questions on Measuring lengths and angles, bearings 39 Qs

(b)(ii)

A second ship sails from point P for a number of miles on a bearing of 070°. It then changes direction and sails on a bearing of 270°. It is possible for the ship to reach only one of the five points A, B, C, D or E. Which point can the ship reach?

Circle the correct answer.

A B C D E

[1]

Answer

Practise questions on Measuring lengths and angles, bearings 39 Qs

Line AB is parallel to line PQ.

(a)

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

[3]

Answer

Practise questions on Angle facts 101 Qs

(b)

Find the size of each of the angles x and y.

Hence give the special name for triangle LMN.

The special name for triangle LMN is_........

[3]

Answer

Practise questions on Angle facts 101 Qs

(a)

[2]

Answer

Practise questions on Transformations 45 Qs

(b)

[1]

Answer

Practise questions on Transformations 45 Qs

(a)

Expand 3x(x² – 2).

[2]

Answer

Practise questions on Inequalities 24 Qs

(b)

Make g the subject of the formula f = 2 – 3g.

[2]

Answer

Practise questions on Inequalities 24 Qs

(c)(i)

Solve 7x – 3 < 29.

[2]

Answer

Practise questions on Inequalities 24 Qs

(c)

(c)(ii)

What is the greatest integer value of x that satisfies the above inequality?

[1]

Answer

Practise questions on Inequalities 24 Qs

[3]

Answer

Practise questions on Constructions and loci 31 Qs

(a)

Share £720 in the ratio 2: 7.

[2]

Answer

Practise questions on Powers and roots 83 Qs

(b)

$fraction$ Calculate the value of the reciprocal of 0.2. (b)

[2]

Answer

Practise questions on Powers and roots 83 Qs

The diagram below shows an empty cylinder, with radius 10 cm and height 20 cm.

(a)

Using maths symbol = 3.14, calculate the volume of the cylinder. (a)

[2]

Answer

Practise questions on Converting between units 52 Qs

(b)

What is the greatest whole number of litres that this cylinder can hold?

[1]

Answer

Practise questions on Converting between units 52 Qs

Five numbers are listed below.

3 3 6 13 15

Write down another set of five positive whole numbers such that

• all the numbers are less than 20, • the median of the new set of numbers is greater than the median of the set shown above, • the mean of the new set of numbers is less than the mean of the set shown above, • the range of the new set of numbers is less than the range of the set shown above.

Your set of whole numbers must be written in the boxes.

Space for working:

My five positive whole numbers are