Naplan Year 9: Sample test (48 Qs, 62 mins)

• Questions 1 – 8 are to be completed without a calculator
• We suggest you spend no more than 10 minutes on this section

A Newsagent purchases pens in packets of a dozen to sell in his Newsagency.

If the Newsagent requires 60 pens, how many packets will he purchase?

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?

Alex and his four friends play a game in which the person with the lowest score wins.

The table shows the final scores for each person except Alice.

If Alice won the game and the range was 20, what was Alice’s score?

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 next 40 questions

Which of the following is equal to:

p(p – n )?

Two coins are spun at the same time and allowed to come to rest.

What is the probability that they come to rest both showing tails?

The diameter of an influenza virus is 0.0000189 centimetres.

Which of the following represents the diameter in scientific notation?

Which of the four nets on the right show the top view of the shape on the left?

A way to obtain a horse’s weight is by using a weight measure, as shown below.

What is the weight of this horse?

Jolene is the team manager for the Melville reds and wants to record the number

of people who play either basketball or netball but not both.

Which Venn diagram represents the desired information?

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

Give the size of ∠CAB (indicated in red).

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 sporting club logo is made up of a pentagon with two obtuse and two acute angles.

Which of the following is the logo?

The floor in a child’s playroom is made up of colourful tiles, as shown.

What fraction of the tiles are blue?

Which number do I insert in place of the question mark to make the number sentence true?

4.2 x ? = 7.56

Give the simplified answer to this expression.

2(t – 5) – 3(2 – t)

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?

Which of the triangles below has an area of 48 m²?

(The triangles are not drawn to scale).

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.

In Australia, road distance is measured in kilometres.

In the USA, road distance is measured in miles.

Eight kilometres is equivalent to approximately 5 miles.

Solange travels 190 miles from Boston to New York.

Approximately how many kilometres is this?

Sam and James are plumbers. Sam charges $60 per hour plus a $60 call-out fee.

James charges a $100 call out fee plus $50 per hour.

After how many hours will their charges work out to be the same?

15% of Sheila’s students received more than 85% for their final exam.

If there are 80 students in Sheila’s year group, how many received more than 85%?

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

Which shape on the right will represent the new position?

Doug is painting this picket fence a nice grey colour.

What percentage of the fence has he still got to paint before completing the job?

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?

Anna, Bev and Carol do letterbox drops in the local community.

Each person’s pay depends on the number of hours they work.

In one week, they were paid a total of $1200. How much is Bev’s share?

Ambika is making some ‘Honey Joys’ to sell at the school fundraiser.

She finds a recipe that will make 24 Honey Joys.

 Ambika wants to make five dozen. How many grams of butter will she need?

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?

Below is a picture of Nick’s back yard.

The area of the lawn is 25 m².

What is the area of the paved area?

Pablo, the plumber, has a graph that he consults when working out customers accounts. 

Which of the following is true about Pablo’s charges?

(tick the 2 that apply)

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

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

The picture below shows a crosswalk.

The white rectangles are made from fragile plastic and glued to the road. 

What is the amount of white plastic used?

The Departure times of flights from Perth are shown below.

How far apart are the Departure times of the 08:40 flight to Sydney and the flight to Brisbane?

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

What is the length of the real truck in metres?

The table below shows the number of fish captured in a small hatchery.

What percentage of the fish (nearest whole number) weigh less than 400 grams?

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

√5 + ¾ + π 

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