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Centre Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) Practice Paper Style Questions Topic: Bearings (Foundation Tier) For this paper you must have: black pen HB pencil ruler (with cm & mm) rubber protractor compass pencil sharpener Time allowed 1 hour Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Fill in the boxes at the top of this page. Answer all questions. You must answer the questions in the space provided. Do not write outside the box around each page or on blank pages. Do all rough work in this book. Cross through any work that you do not want to be marked. Information The marks for questions are shown in brackets. The maximum mark for this paper is 25. The quality of your written communication is specifically assessed in questions indicated with an asterisk (*) You may ask for more answer paper and graph paper. These must be tagged securely to this answer booklet. A calculator must NOT be used. Advice Read each question carefully before you answer it. In all calculations, show clearly how you work out your answer. Check your answers if you have time at the end. For Examiner’s Use Examiner’s Initials Pages Mark 3 4 5 6 7 8 9 TOTAL
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Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

Jul 30, 2018

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Page 1: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

Centre Number Candidate Number

Surname

Other Names

Candidate Signature

GCSE Mathematics (Non-calculator Paper) Practice Paper Style Questions – Topic: Bearings (Foundation Tier)

For this paper you must have:

black pen

HB pencil

ruler (with cm & mm)

rubber

protractor

compass

pencil sharpener

Time allowed

1 hour

Instructions

Use black ink or black ball-point pen. Draw diagrams in pencil.

Fill in the boxes at the top of this page.

Answer all questions.

You must answer the questions in the space provided. Do not write outside the

box around each page or on blank pages.

Do all rough work in this book. Cross through any work that you do not want to

be marked.

Information

The marks for questions are shown in brackets.

The maximum mark for this paper is 25.

The quality of your written communication is specifically assessed in questions

indicated with an asterisk (*)

You may ask for more answer paper and graph paper.

These must be tagged securely to this answer booklet.

A calculator must NOT be used.

Advice

Read each question carefully before you answer it.

In all calculations, show clearly how you work out your answer.

Check your answers if you have time at the end.

For Examiner’s Use

Examiner’s Initials

Pages Mark

3

4 – 5

6 – 7

8 – 9

TOTAL

Page 2: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

2

There are no questions printed on this page

DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED

Page 3: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

3

1

(a) Measure and write down the bearing of B from A.

Answer ..............................˚...... (1 mark)

(b) On the diagram, draw a line on a bearing of 086° from A.

(1 mark)

Do not write outside the

box

2

North

B

A

Page 4: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

4

2

(a) Write down the bearing of A from P.

Answer .............................. ˚...... (1 mark)

(b) Work out the bearing of B from P.

Answer ............................... ˚..... (2 marks)

North

B

P

A

62°

133°

Page 5: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

5

3 A ship leaves port X and travels 10km on a bearing of 120° to point Y.

The ship then turns and travels 11km on a bearing of 020° to point Z.

This journey is shown on the scale drawing below:

The ship then turns and travels directly back from Z to X.

Use a ruler and protractor to work out the distance and bearing of the journey from Z to X.

Distance ................................km.... (2 marks)

Bearing .................................˚...... (2 marks)

(3 marks)

6

N

X

Y

Z

Scale: 1cm represents 1km

N

120°

020°

10km

11km

Page 6: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

6

4 An aeroplane flies due North from X to Y.

The distance from X to Y on the river is 36 miles

(a) How much further is it from X to Y on the river than by aeroplane?

Answer ......................................miles.... (3 marks)

(b) Z is 21 miles north-east of X.

(i) Write down the three-figure bearing of Z from X.

Answer ........................................... ˚..... (1 mark)

(ii) Mark with a cross and label point Z on the diagram.

(2 marks)

Scale: 1cm represents 3 miles N

X

Y

River

Page 7: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

7

5 The diagram shows the positions of two electricity pylons, A and B on a map:

(a) Measure the bearing of B from A.

Answer ..................................˚.............. (1 mark)

Another pylon C is on a bearing of 140° from B.

On the map, C is 5cm from B.

(b) Mark the position of C with a cross (×) and label it C.

(2 marks)

9

N

N

A

B

Page 8: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

8

6 The diagram shows part of a map. It shows the positions of a youth hostel and a bus station.

The scale of the map is 1:10 000

(a) Work out the real distance between the youth hostel and the bus station.

Give your answer in metres.

Answer .......................................m......... (2 marks)

(b) Find the bearing of the youth hostel from the bus station.

Answer .........................................˚......... (1 mark)

N

N Youth Hostel

Bus Station

Page 9: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

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7 The diagram shows the position of two ships, A and B :

(a) Measure the size of the angle marked 𝑥.

Answer .........................................˚......... (1 mark)

(b) Work out the real distance between ship A and B.

Use the scale 1cm represents 40km.

Answer .......................................km....... (2 marks)

Ship C is 240km on a bearing of 070° from ship B.

(c) On the diagram, mark ship C with a cross (×) and label it C.

(2 marks)

END OF QUESTIONS

8

N

N

A

B

𝑥

Scale: 1cm represents 40km

Page 10: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

10

There are no questions printed on this page

DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED

Page 11: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

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Page 12: Mathematics (Non-calculator Paper) - … Number Candidate Number Surname Other Names Candidate Signature GCSE Mathematics (Non-calculator Paper) TOTAL Practice Paper ... 3 1 (a) Measure

n