User interface language: English | Español

Date May 2017 Marks available 2 Reference code 17M.1.sl.TZ1.2
Level SL only Paper 1 Time zone TZ1
Command term Calculate Question number 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.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 985000985000.

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×10ka×10k where 1a<10 and k Z.

[2]
c.

Markscheme

9736     (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.

36100×985000     (M1)

 

Note:     Award (M1) for multiplying 0.36 (or equivalent) by 985000.

 

=355000 (354600)     (A1)     (C2)

[2 marks]

b.

3.55×105 (3.546×105)     (A1)(ft)(A1)(ft)     (C2)

 

Note:     Award (A1)(ft) for 3.55 (3.546) must match part (b), and (A1)(ft) ×105.

Award (A0)(A0) for answers of the type: 35.5×104. Follow through from part (b).

 

[2 marks]

c.

Examiners report

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

Syllabus sections

Topic 3 - Logic, sets and probability » 3.7 » Probability of combined events, mutually exclusive events, independent events.
Show 100 related questions

View options