In this post, you’ll find the worked solutions for 2023 Mathematics specimen paper 1.

## Questions from the 2023 Mathematics Specimen Paper 2

Click on the question below to go directly to the solutions of each question

## Question 1: Algebra

(a) (i)

(a)(ii)

(b)

(c)

(d)

## Question 2: Percentage

(a)

(b)

(c)

(d)

## Question 3: Graphs

(a)

(c)

The graph of y = x^{3}/4 – 2x + 3 cuts the x- axis at only one point.

(d)(i)

(ii)

## Question 4: Statistics and Probability

(i)

i(a) 94 g

i(b) 106g

i (c) Interquartile range = 114 – 88 = 26g

(ii) Out of the 200 apples:

164-32 = 132 of Variety B are between 80g to 120g.

180-24 = 156 of Variety A are between 80g to 120g.

Variety A because a larger proportion of variety A apples are within the desired range. 156 out of the 200 apples of Variety A are between 80g – 120 g while only 132 of the 200 apples of Variety B are between 80 to 120 g.

(b)(i)

Probability of 2 same varieties of apples:

= 9/16 x 8/15 + 7/16 x 6/ 15

=19/ 40

(ii)

## Question 5: Geometry (property of circles)

(a)

(b)(i)

(ii)

## Question 6: Vectors

(a)

(ii)

(b)

## Question 7: Trigonometry

(a)

(b)

## Question 8: Word problems involving Quadratic Equations and Trigonometry

(a)

(b)

(c)

## Question 9: Data Analysis & Speed, Distance and Time

a(i)

(ii)

(b)

No. Although both Zhao and Mei met their target for each week, the calories burnt by Zhao is not 50% more than that of Mei’s.

Working:

## Worked Solutions for 2023 Mathematics Specimen Paper:

2023 Specimen Paper for Mathematics Paper 1

2023 Specimen Paper for Mathematics Paper 2