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Date May 2017 Marks available 2 Reference code 17M.1.SL.TZ2.T_1
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 2
Command term Question number T_1 Adapted from N/A

Question

Consider the numbers  p = 2.78 × 10 11 and  q = 3.12 × 10 3 .

Calculate p q 3 . Give your full calculator display.

[2]
a.

Write down your answer to part (a) correct to two decimal places;

[1]
b.i.

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

[1]
b.ii.

Write your answer to part (b)(ii) 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.

2.78 × 10 11 3.12 × 10 3 3 OR 8.91025 × 10 13 3     (M1)

 

Note:     Award (M1) for correct substitution into given expression.

 

44664.59503     (A1)     (C2)

 

Note:     Award (A1) for a correct answer with at least 8 digits.

Accept 44664.5950301.

 

[2 marks]

a.

44664.60     (A1)(ft)     (C1)

 

Note:     For a follow through mark, the answer to part (a) must be to at least 3 decimal places.

 

[1 mark]

b.i.

44700     (A1)(ft)     (C1)

 

Notes:     Answer to part (a) must be to at least 4 significant figures.

Accept any equivalent notation which is correct to 3 significant figures.

For example 447 × 10 2 or 44.7 × 10 3 .

Follow through from part (a).

 

[1 mark]

b.ii.

4.47 × 10 4     (A1)(ft)(A1)(ft)     (C2)

 

Notes:     Award (A1)(ft) for 4.47 and (A1)(ft) for 10 4 .

Award (A0)(A0) for answers such as 44.7 × 10 3 .

Follow through from part (b)(ii) only.

 

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.i.
[N/A]
b.ii.
[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

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