Naplan Year 9: Sample test (25 Qs, 40 mins)

• Questions 1 – 6 are to be completed without a calculator
• We suggest you spend no more than 8 minutes on the non-calculator section

Consult the 3D shapes below, along with a choice of nets.

Match the nets with the correct 3D object by dragging and dropping the correct letter.

Simon is building a shed. He estimates his costs to be:

Land purchase        $225 000

Planning approval     $5 245

Building costs         $181 000

His total cost is closest to:

In the diagram below each small gold rectangle is 3 cm long and 2 cm wide.

Use this information to give the area of the grey triangle.

Give the value of: 

2³ x 3²

Below is the spinner for a new game called ‘Broke’.

What chance has Kevin got of going broke or visiting the bank on his next spin?

This is the final question of the non-calculator section.

Simplify the following expression.

7 – 3(2 – 3a) – 4

A calculator is permitted for the remaining questions.

Which of the following is equal to:

p(p – n )?

The diameter of an influenza virus is 0.0000189 centimetres.

Which of the following represents the diameter in scientific notation?

Simon is an electrician.

He has drawn up the following table as a ready reckoner for charging his clients.

The question mark indicates the amount he charges per hour.

How much is Simon’s hourly charge?

Twelve fishermen hire a boat to go fishing for six days.

The cost of hiring the boat for six days is $1200; however, the fishermen obtain a 10% discount.

What is the new cost per person?

The number of motorists caught speeding in a school zone over six days is recorded as 

6, 8, 8, 9, 10 and 13.

Give the values for the median and mean of this data?

Give the value of this expression to two decimal places if a = 2.4

Here is a picture of a car park.

Approximately what percentage of the car bays are vacant?

Lisa is taking part in a walkathon to raise money for her school. 

She wants to raise $200.

Her two uncles give her $30 each, and her parents promise $5 a lap.

How many laps will she need to run to raise the $200?

A hotel in Perth is having a promotion.

An envelope containing a voucher for a week’s free accommodation is left in one of the rooms.

What is the probability the voucher is won by a customer who booked a deluxe suite?

How many cubic metres of wheat are there in this conical pile?

(Answer to the nearest whole number).

Use the rule V = 1/3 x π x r² x h where r is the radius of the pile and h is the height of the pile.

The shape on the left is to be rotated 90⁰ in an anticlockwise direction.

Which shape on the right will represent the new position?

The coach of a basketball team spent $78 on four basketballs.

After purchasing the four balls, he had $4 left.

Which algebraic equation would be suitable to work out the cost of one basketball?

Les enters a 40-kilometre cycle race. His average speed for the ride is 30 kph.

How long did it take Les to complete the ride?

A quarter of a litre of juice is added to this container.

 How much juice is there in the jug after the extra has been added?

Joanne is the team’s goalie for the Coffs netball team.

Her last six matches saw the following results:

30, 28, 32, 29, 33, 28 goals

In her 7th game, Joanne again managed 28 goals.

Which of the following is a true statement?

Linda went shopping for a new top to wear to the school dance.

The table below shows the original price of the tops as well as the discounts available.

 Which shop has the best price after the discount has been applied?

The minimum Australian standards for wheelchair ramps is 1:13.

What is the Horizontal distance of a ramp if the vertical distance is 40 cm?

The scale model of this truck to the real truck is 1:180.

What is the length of the real truck in metres?

Calculate the following giving your answer rounded to three decimal places.

√5 + ¾ + π 

• This is the end of the test.
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