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Date November 2010 Marks available 1 Reference code 10N.1.sl.TZ0.1
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 1 Adapted from N/A

Question

Consider the following four numbers.

\(p = 0.00314{\text{ ; }}q = 0.00314 \times {10^2}{\text{ ; }}r = \frac{\pi }{{1000}}{\text{ ; }}s = 3.14 \times {10^{ - 2}}\)

One of these numbers is written in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\). Write down this number.

[1]
a.

Write down the smallest of these numbers.

[2]
b.

Write down the value of q + s.

[1]
c.

Give your answer to part (c) in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\).

[2]
d.

Markscheme

3.14 × 10–2 or s     (A1)     (C1)

[1 mark]

a.

0.00314 or 3.14 × 10–3 or p     (M1)(A1)     (C2)

 

Note: Award (M1) for indication of comparing numbers where at least one of them is converted. The converted number does not have to be correct. A single converted number is sufficient for (M1) to be awarded.

 

[2 marks]

b.

0.3454 (0.345)     (A1)     (C1)

[1 mark]

c.

3.454 × 10–1 (3.45 × 10–1)     (A1)(A1)(ft)     (C2)

 

Notes: Follow through from their (c).

Award (A1) for 3.454 (3.45) (A1) for 10–1.

 

[2 marks]

d.

Examiners report

In general this question was answered correctly by the majority of the candidates.

a.

In general this question was answered correctly by the majority of the candidates. Part b presented difficulty for some students by asking them to compare the given numbers. A common error found in this part was that the value of π was given as 3.14. A method mark was awarded when a comparison was attempted.

b.

In general this question was answered correctly by the majority of the candidates.

c.

In general this question was answered correctly by the majority of the candidates.

d.

Syllabus sections

Topic 1 - Number and algebra » 1.0 » Basic use of the four operations of arithmetic, using integers, decimals and fractions, including order of operations
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