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Date	November 2016	Marks available	2	Reference code	16N.1.SL.TZ0.T_1
Level	Standard Level	Paper	Paper 1 (with calculator from previous syllabus)	Time zone	Time zone 0
Command term		Question number	T_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]

Write your answer to part (a)

(i) correct to two decimal places;

(ii) correct to three significant figures.

[2]

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]

Markscheme

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

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

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

$= 0.0390625$ (A1) (C2)

Note: Accept $\frac{5}{{128}}$ .

[2 marks]

(i) 0.04 (A1)(ft)

(ii) 0.0391 (A1)(ft) (C2)

Note: Follow through from part (a).

[2 marks]

$3.91 \times {10^{ - 2}}$ (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]

Examiners report

[N/A]

Syllabus sections

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

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18M.1.SL.TZ2.T_3b.i:
Write down the length of the Amazon River in cm.
17M.1.SL.TZ2.T_1b.i:
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17M.1.SL.TZ2.T_1a:
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21M.1.SL.TZ1.2a:
Write down the radius of the planet.
21M.1.SL.TZ1.2b:
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Give your answer correct to one decimal place.
20N.1.SL.TZ0.T_1b:
Calculate James’s estimate of its volume, in ${km}^{3}$ .
17M.1.SL.TZ1.T_2c:
Write down your answer to part (b) in the form $a \times {10^k}$ where $1 \leqslant a < 10$ and k $\in \mathbb{Z}$ .
20N.1.SL.TZ0.T_1a:
Write down the value of the iron in the form $a \times 10^{k}$ where $1 \leq a < 10, k \in ℤ$ .
18M.1.SL.TZ2.T_3b.ii:
Find the value of x.
19M.1.SL.TZ2.T_1c:
Write your answer to part (b) in the form $a \times {10^k}$ , where 1 ≤ $a$ < 10 , $k \in \mathbb{Z}$ .
20N.1.SL.TZ0.T_1c:
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18M.1.SL.TZ2.T_3a:
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17M.1.SL.TZ2.T_1b.ii:
Write down your answer to part (a) correct to three significant figures.
19M.1.SL.TZ2.T_1a:
Use this model to calculate the circumference of the Moon in kilometres. Give your full calculator display.
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17M.1.SL.TZ2.T_1c:
Write your answer to part (b)(ii) in the form $a \times {10^k}$ , where $1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}$ .
16N.1.SL.TZ0.T_1a:
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16N.1.SL.TZ0.T_1c:
Write your answer to part (b)(ii) in the form $a \times {10^k}$ , where $1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}$ .
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Topic 1—Number and algebra

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