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Date May 2019 Marks available 3 Reference code 19M.1.SL.TZ2.T_1
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 2
Command term Calculate Question number T_1 Adapted from N/A

Question

A sphere with diameter 3 474 000 metres can model the shape of the Moon.

Use this model to calculate the circumference of the Moon in kilometres. Give your full calculator display.

[3]
a.

Give your answer to part (a) correct to three significant figures.

[1]
b.

Write your answer to part (b) in the form  a × 10 k , where 1 ≤ a < 10 , k Z .

[2]
c.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

3 474 000 × π 1000       (M1)(M1)

Note: Award (M1) for correct numerator and (M1) for dividing by 1000 OR equivalent, such as 3 474 000 × 2 × π 2000 ie diameter.
Do not accept use of area formula ie π r 2 .

10 913.89287… (km)      (A1)  (C3)

[3 marks]

 

a.

10 900 (km)      (A1)(ft)  (C1)

Note: Follow through from part (a).

[1 mark]

 

b.

1.09 × 104      (A1)(ft)(A1)(ft)  (C2)

Note: Follow through from part (b) only. Award (A1)(ft) for 1.09, and (A1)(ft) × 104. Award (A0)(A0) for answers of the type: 10.9 × 103.

[2 marks]

 

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 1—Number and algebra » SL 1.1—Using standard form
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Topic 1—Number and algebra
Prior learning

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