Mathematical Methods — Question 2

QCAA 2025, Paper 2 · 1 mark

Q2 · 2025 · Technology-activeSimple familiar1 mark

QUESTION 2

Determine the approximate area (units

^2

) between the curve and the

x

-axis for

0\le x\le8

by calculating the area of the shaded rectangles.

(A)

15

(B)

28

(C)

30

(D)

31

ABCD

WORKED SOLUTION

1 mark

ANSWER

C —

30

Worked solution

The shaded rectangles have width 2 and heights 2, 4 and 9, so their total area is

2(2+4+9)=30

units

^2

; option C.

Selects option C.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.