Year 9 NAPLAN Numeracy Sample Questions

Year 9NumeracyMedium difficultyNAP ↗

10 real Year 9 NAPLAN Numeracy questions from our practice bank. Medium difficulty. Select an answer to reveal the worked solution. Free, no signup, open in 10 seconds.

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Sample questions

All questions are medium difficulty and drawn from the Skillo practice bank. Each worked solution is revealed after you select an answer.

SAMPLE QUESTION 1 — Medium

Kofi earns $23.40 per hour working at a café in Brisbane. He works 6 hours on Saturday at normal pay and 4 hours on Sunday at time-and-a-half. What are his total earnings for the weekend?

A$ 280.80

B$ 187.20

C$ 281.80

D$ 234.00

Select an answer to reveal the worked solution.

SAMPLE QUESTION 2 — Medium

A sports coach limits training: x = gym hours, y = field hours per week, with x + y ≤ 10, x ≥ 3, y ≥ 4. Which point satisfies ALL three conditions?

A(4, 5)

B(2, 8)

C(5, 6)

D(3, 3)

Select an answer to reveal the worked solution.

SAMPLE QUESTION 3 — Medium

Solve the simultaneous equations: 2x + y = 7 and x − y = 2

Ax = 2, y = 3

Bx = 4, y = −1

Cx = 3, y = 1

Dx = 5, y = −3

Select an answer to reveal the worked solution.

SAMPLE QUESTION 4 — Medium

Solve the quadratic equation: x² + 5x + 6 = 0

Ax = 2 or x = 3

Bx = −1 or x = −6

Cx = 2 or x = −3

Dx = −2 or x = −3

Select an answer to reveal the worked solution.

SAMPLE QUESTION 5 — Medium

A bus departs at the time shown and travels at a steady 60 km/h. How far will it have travelled by 3:20?

A120 km

B60 km

C180 km

D100 km

Select an answer to reveal the worked solution.

SAMPLE QUESTION 6 — Medium

Priya has a bag containing 3 green cards and 2 yellow cards. She draws one card, records its colour, and puts it back before drawing a second card. What is the probability that both cards drawn are green?

A3/5

B6/25

C9/25

D3/10

Select an answer to reveal the worked solution.

SAMPLE QUESTION 7 — Medium

Fully factorise: 6x² + 9x

A3(2x² + 3x)

B6x(x + 1.5)

C2x(3x + 4.5)

D3x(2x + 3)

Select an answer to reveal the worked solution.

SAMPLE QUESTION 8 — Medium

Simplify: √75

A3√5

B5√3

C√5 × √15

D15√5

Select an answer to reveal the worked solution.

SAMPLE QUESTION 9 — Medium

Priya's train leaves at the time shown on this morning clock. If she must arrive at the station 18 minutes before departure, what is the latest time she can arrive, written in 24-hour time?

A08:34

B08:52

C09:10

D20:34

Select an answer to reveal the worked solution.

SAMPLE QUESTION 10 — Medium

Two fair six-sided dice are rolled. What is the probability that they show DIFFERENT numbers?

A1/6

B1/36

C5/6

D2/6

Select an answer to reveal the worked solution.

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About this practice

Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA. Questions are drawn from the Skillo practice bank and aligned with the Australian Curriculum v9.0 ↗.