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Question 100 of 108 in Unit 1

Unit 1

4 marks · Normal

Here are three fractions: , , and .

A point A has coordinates (2, 3) on the Cartesian plane.

(a)

Place these fractions in increasing order.

[2 marks]
(b)

Write down the coordinates of the point that is reflected across the x-axis from point A.

[1 mark]
(c)

What is the value of the numerator in the fraction that is equivalent to with denominator 12?

[1 mark]

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(a)

(b) (2, -3)

(c) 8

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Convert all fractions to common denominator or decimal

A1 (a) · 1 mark · Correctly order fractions: 5/12 < 2/3 < 3/4

B1 (b) · 1 mark · Correct coordinates for reflection: (2, -3)

A2 (c) · 1 mark · Correct numerator 8 for denominator 12

Worked solution

a) , , . So order is 5/12 < 2/3 < 3/4.

b) To reflect (2, 3) across x-axis, change sign of y-coordinate: (2, -3).

c) . So numerator is 8.

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