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Date May 2017 Marks available 2 Reference code 17M.1.SL.TZ1.T_2
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 1
Command term Calculate Question number T_2 Adapted from N/A

Question

In the Canadian city of Ottawa:

97%  of the population speak English, 38%  of the population speak French, 36%  of the population speak both English and French.

The total population of Ottawa is 985 000 .

Calculate the percentage of the population of Ottawa that speak English but not French.

[2]
a.

Calculate the number of people in Ottawa that speak both English and French.

[2]
b.

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

[2]
c.

Markscheme

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

97 36     (M1)

 

Note:     Award (M1) for subtracting 36 from 97.

 

OR

M17/5/MATSD/SP1/ENG/TZ1/02.a/M

(M1)

 

Note:     Award (M1) for 61 and 36 seen in the correct places in the Venn diagram.

 

= 61   ( % )     (A1)     (C2)

 

Note:     Accept 61.0 (%).

 

[2 marks]

a.

36 100 × 985 000     (M1)

 

Note:     Award (M1) for multiplying 0.36 (or equivalent) by 985 000 .

 

= 355 000   ( 354 600 )     (A1)     (C2)

[2 marks]

b.

3.55 × 10 5   ( 3.546 × 10 5 )     (A1)(ft)(A1)(ft)     (C2)

 

Note:     Award (A1)(ft) for 3.55 (3.546) must match part (b), and (A1)(ft) × 10 5 .

Award (A0)(A0) for answers of the type: 35.5 × 10 4 . Follow through from part (b).

 

[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 4—Statistics and probability » SL 4.6—Combined, mutually exclusive, conditional, independence, prob diagrams
Topic 1—Number and algebra
Topic 4—Statistics and probability

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