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Date November 2016 Marks available 2 Reference code 16N.1.sl.TZ0.1
Level SL only Paper 1 Time zone TZ0
Command term Calculate and Write down Question number 1 Adapted from N/A

Question

Let \(p = \frac{{\cos x + \sin y}}{{\sqrt {{w^2} - z} }}\),

where \(x = 36^\circ ,{\text{ }}y = 18^\circ ,{\text{ }}w = 29\) and \(z = 21.8\).

Calculate the value of \(p\). Write down your full calculator display.

[2]
a.

Write your answer to part (a)

(i)     correct to two decimal places;

(ii)     correct to three significant figures.

[2]
b.

Write your answer to part (b)(ii) in the form \(a \times {10^k}\), where \(1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}\).

[2]
c.

Markscheme

\(\frac{{\cos 36^\circ  + \sin 18^\circ }}{{\sqrt {{{29}^2} - 21.8} }}\)    (M1)

 

Note:     Award (M1) for correct substitution into formula.

 

\( = 0.0390625\)    (A1)     (C2)

 

Note:     Accept \(\frac{5}{{128}}\).

 

[2 marks]

a.

(i)     0.04     (A1)(ft)

(ii)     0.0391     (A1)(ft)     (C2)

 

Note:     Follow through from part (a).

 

[2 marks]

b.

\(3.91 \times {10^{ - 2}}\)    (A1)(ft)(A1)(ft)     (C2)

 

Note:     Answer should be consistent with their answer to part (b)(ii). Award (A1)(ft) for 3.91, and (A1)(ft) for \({10^{ - 2}}\). Follow through from part (b)(ii).

 

[2 marks]

c.

Examiners report

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

Syllabus sections

Topic 1 - Number and algebra » 1.2
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