IB Questionbank

Date	November 2016	Marks available	2	Reference code	16N.1.SL.TZ0.T_1
Level	Standard Level	Paper	Paper 1	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 $z = 21.8$ .

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

Markscheme

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

Syllabus sections

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

22M.2.SL.TZ1.2d:
Find the total area of the tiles in Eddie’s path. Give your answer in the form $a \times 10^{k}$ where $1 \leq a < 10$ and $k$ is an integer.
EXN.1.SL.TZ0.5b.i:
Write an expression for $C$ in terms of $p H$ .
22M.1.SL.TZ2.4a:
Calculate the pH of the coffee.
20N.1.SL.TZ0.T_1c:
The actual volume of the asteroid is found to be $6.074 \times 10^{6} {km}^{3}$ .

Find the percentage error in James’s estimate of the volume.
20N.1.SL.TZ0.T_1b:
Calculate James’s estimate of its volume, in ${km}^{3}$ .
17N.1.SL.TZ0.T_3a:
Calculate the time, in minutes, it takes for light from the Sun to reach the Earth.
20N.1.SL.TZ0.T_1a:
Write down the value of the iron in the form $a \times 10^{k}$ where $1 \leq a < 10, k \in ℤ$ .
EXN.1.SL.TZ0.5a:
Find the $p H$ value for a solution in which the hydrogen ion concentration is $5.2 \times 10^{- 8}$ .
EXN.1.SL.TZ0.5b.ii:
Find the hydrogen ion concentration in a solution with $p H 4.2$ . Give your answer in the form $a \times 10 k$ where $1 \leq a < 10$ and $k$ is an integer.

Question

Markscheme

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Syllabus sections

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