 Try this Sample Quiz.
 There are 30 questions to complete in 40 minutes
 You will be given an overall mark at the end of the quiz as well as a mark for each category
 This quiz is a mix of 30 questions taken at random from the 1050 questions in the numeracy program
 Use the hint if you get stuck
 Check to see where you went wrong by clicking view questions.
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Question 1 of 30
1. Question
Category: MeasurementWhat is the length of the paper clip shown below?
(Units are centimetres)
CorrectIncorrectHint
 The paper clip extends from the 36centimetre mark to the 42centimetre mark.
 Count how far it is from 36 to 42 by going 37, 38, 39, etc…42 or subtract 36 from 42.

Question 2 of 30
2. Question
Category: NumberA nanosecond is one billionth of a second.
Which of the following is a nanosecond?
CorrectIncorrectHint
 One billion is one thousand million.
 Now write this as a fraction.

Question 3 of 30
3. Question
Category: StatisticsThe goals scored by players during a soccer season are graphed below.
Which player scored 6 goals less than Sam?
CorrectIncorrectHint
 Check out the height of the column that represents Sam.
 Now find the column that has a height six less than Sam’s column.

Question 4 of 30
4. Question
Category: MeasurementSimon has 1.8 litres of orange juice.
He pours equal amounts into each of 9 glasses with no juice left over.
How much juice is in each glass?
CorrectIncorrectHint
 Change 1.8 litres to millilitres (1 000 millilitres = 1 litre) as answers are in millilitres.
 Divide your answer from step 1 by 9 to obtain the number of millilitres per glass.

Question 5 of 30
5. Question
Category: Ratio & RatesA map has a scale of 1 centimetre representing a distance of 2 kilometres in real life.
What is the appropriate scale ratio for the map?
CorrectIncorrectHint
 2 kilometres have to be changed to centimetres.
 Use the conversion picture below to convert kilometres to centimetres.
 Once you have converted 2 kilometres to centimetres you have the solution.

Question 6 of 30
6. Question
Category: MeasurementA baby’s weight increases its weight in the first year of its life by three times its birth weight.
A baby at birth weighs 3100 grams.
What will its estimated weight be in 12 months?
CorrectIncorrectHint
 Times means multiply. Therefore 3 100 x 3 = ?
 If your answer from step 1 is not one of the choices you will need to convert grams to kilograms.
 Note. 1 000 milligrams = 1 kilogram

Question 7 of 30
7. Question
Category: StatisticsJoseph wants to buy a pair of runners.
He visits five stores and takes note of the prices on offer for the same style of shoe.
The prices are listed as: $59, $58, $58, $64 and $66.
What is the median shoe price?
CorrectIncorrectHint
The median is the middle score once all scores have been arranged in ascending (↑) order.

Question 8 of 30
8. Question
Category: ProbabilityIn a jar of 20 marbles, there are some orange, purple and red marbles.
A marble is chosen at random from the jar. Eli wants either an orange or a purple marble.
What is the probability of Eli getting what he wants?
CorrectIncorrectHint
 The probability of an event happening is: What you want divided by the total number of outcomes.
 In the jar, there are eight red, three orange and nine purple marbles. The total number of marbles is 20.
 Eli wants an orange or purple marble of which there are 12. You need to simplify your fraction.

Question 9 of 30
9. Question
Category: NumberA packet of 6 erasers are shown below.
What is the best approximation for the cost per eraser?
CorrectIncorrectHint
 The cost of the six erasers is approximately $1.80 ($1.79).
 Therefore, to work out the cost of one eraser, we divide $1.80 by 6.

Question 10 of 30
10. Question
Category: MeasurementWhat is the weight in kilograms shown here?
CorrectIncorrectHint
 Count the spaces between 73 and 74.
 Divide your answer to part 1 by 5 (answer will be a decimal) to find the value of one space.
 The arrow is pointing to the mark at the end of the third space.

Question 11 of 30
11. Question
Category: StatisticsThis pie chart shows the consumption of frozen fruit by Australians.
Which statement is false?
CorrectIncorrectHint
 Calculate the size of the remaining sector (subtract the sum of what you see from 100).
 Now we check each choice one at a time.

Question 12 of 30
12. Question
Category: TimeAustralian time zones during nondaylight saving periods are as follows:
Use this information to state the time in Sydney if it is
15 minutes past 11 on Friday night in Perth.
CorrectIncorrectHint
 Use the map of Australia to see the time difference between Sydney and Perth.
 You are given the time in Perth.
 Now add the time difference to the Perth time to establish the time in Sydney.

Question 13 of 30
13. Question
Category: NumberA car’s petrol tank is threequarters full.
The motorist topped up the tank by adding 12 litres.
How many litres does the tank hold when full?
CorrectIncorrectHint
 The fuel tank is ¾ full. The motorist has to add fuel to the remaining ¼.
 The motorist adds 12 litres of fuel to fill the remaining ¼ of a tank.
 Therefore if 12 litres is a quarter of the tank, then how much is four quarters?

Question 14 of 30
14. Question
Category: NumberA wheat silo receives grain at a rate of 15 tonnes per minute.
How long will it take the silo to receive 120 tonnes of grain?
CorrectIncorrectHint
 Fifteen tonnes per minute is the rate.
 To find the number of minutes, it takes to receive 120 tonnes we divide 120 by 15.

Question 15 of 30
15. Question
Category: NumberA shopping centre car park has 900car parking bays divided into three sections.
Section 1 has 480 bays and section 2 has half as much as Section 1.
The remaining bays are in section 3.
How many bays are there in Section 3?
CorrectIncorrectHint
 Work out half of 480 to find the number of car bays in section 2.
 Now subtract the number of car bays in section 1 and section 2 from 900.

Question 16 of 30
16. Question
Category: TimeAnne and Kate are flying to Europe on holidays.
Anne is flying to Dubai and Kate is flying to Berlin.
How long after waving goodbye to Anne does Kate have
to wait before boarding her flight to Berlin?
CorrectIncorrectHint
 Find Anne’s departure time.
 Find Kate’s departure time.
 Now subtract the earlier departure time from the later departure time.

Question 17 of 30
17. Question
Category: NumberMary visits a bookshop and buys a book and a diary. She pays with a $20 note.
How much change does she receive? (Assume rounding to the nearest 5 cents).
CorrectIncorrectHint
 $6.99 can be treated as $7. So, Mary is spending $7 plus $8.25.
 Now work out the change from $20 by subtracting the total spent.

Question 18 of 30
18. Question
Category: MeasurementZac is stacking identical boxes of height 36 centimetres.
How high would a stack be if it contained four boxes?
CorrectIncorrectHint
 Four boxes with the same height will stack to a height of whatever 36 x 4 equals.
 The answer you obtain in part one is in centimetres.
 Now convert to metres by using the correct conversion (100 centimetres = 1 metre).

Question 19 of 30
19. Question
Category: SpaceConsult the picture below.
Which boat is South West of the Green boat and South East of the Navigation Marker?
CorrectIncorrectHint
 The boats South West of the green boat are the purple and red boats
 The boats South East of the navigation marker are the red and blue boats.
 The boat that is mentioned in step 1 and step 2 is the boat you require.

Question 20 of 30
20. Question
Category: NumberVera is building a house. She estimates her main costs to be:
Buying land: $215 000
Planning approval: $4685
Cost of building: $197 500
To the nearest $1000, what is her total cost?
CorrectIncorrectHint
 Adding all four amounts together will give Vera the total of her outlay.
 Now round to the nearest thousand.

Question 21 of 30
21. Question
Category: NumberA small village pumps 140 thousand litres per week from its communal well.
It is to be shared among 200 villages.
How many litres would each person receive per week?
CorrectIncorrectHint
 Share means to divide.
 140 000 ÷ 200 will give the number of litres per person.

Question 22 of 30
22. Question
Category: MeasurementEmily noticed the oil gauge on her car was a little low.
The engine of her car normally holds 12 litres when full.
How much oil does she need to add to fill the engine with oil?
CorrectIncorrectHint
 The oil gauge has been divided into three parts (thirds).
 When the motor is full of oil, it holds 12 litres.
 Now work out one part by dividing 12 by three.
 The answer to part three is the amount of oil required to be added.

Question 23 of 30
23. Question
Category: Ratio & RatesMyrtle travels at a speed of 95 kph for 4 hours.
How far does Myrtle travel?
CorrectIncorrectHint
 From previous quizzes we learnt that Distance = Speed x Time.
 Carry out the operation to obtain the distance travelled.

Question 24 of 30
24. Question
Category: NumberThree friends share a job.
They share their total pay based on the number of days each worked.
This week their total pay was $840.
What is Abu’s share?
CorrectIncorrectHint
 The total number of days worked is 7, while the amount of money earned is $840.
 Calculate the amount of pay for one day’s work.
 Multiply your answer to step two by the number of days worked by Abu to find his share.

Question 25 of 30
25. Question
Category: Ratio & RatesThe local swimming club consisting of 42 swimmers and five coaches,
are booked into a mountain resort for a period of bonding.
How many of the above cabins do they need to book to accommodate every person?
CorrectIncorrectHint
 The total number of beds needed is 47 (42 for the students + 5 for the coaches).
 Divide the answer in step 1 by six and then round up to the nearest whole number.

Question 26 of 30
26. Question
Category: MeasurementA floor rug measuring 4 metres by 3 metres is placed in the middle of a living room.
The room measures 5 metres by 6 metres.
How much of the floor is not covered by the rug?
CorrectIncorrectHint
 Find the area of the room. Area = length x width
 Find the area of the rug. Area = length x width
 Subtract the area of the rug from the area of the room.

Question 27 of 30
27. Question
Category: MeasurementHere is a plan of Nick’s backyard.
The area of the lawn in the middle of the yard is 16 m². The rest is paving.
What is the area of paving?
CorrectIncorrectHint
 Nick’s lawn in the middle of his yard takes up four squares, and there are 16 m² of lawn.
 This means that each square in Nick’s backyard is worth four m² (16÷4).
 You can now work out the area of paving.

Question 28 of 30
28. Question
Category: NumberMulching the garden in the summertime with straw is a great way of saving water.
A bale of straw costs $6.00, and the delivery charge is $20.00.
Olivia spent $80 in total.
How many bales of pea straw did she buy for the garden?
CorrectIncorrectHint
 If it costs $20 to have the straw delivered, then $60 ($80$20) would be spent on straw.
 The number of bales bought for $60 would be 60 ÷ 6.

Question 29 of 30
29. Question
Category: NumberA tradesman quotes $780 plus 10% GST to resurface a driveway.
How much does it cost to resurface the driveway after the 10% is added?
CorrectIncorrectHint
 To find 10% of a number we delete the end zero.
 To work out the actual cost, we add the GST to the original cost.

Question 30 of 30
30. Question
Category: NumberMichael’s results of his last four science tests are listed below:
13/20 14/25 73% 34/50
Which score is his best percentage mark?
CorrectIncorrectHint
 To compare the four scores we need to change all scores to a mark out of 100.
 13/20 (multiply top and bottom by 5).
 14/25 (multiply top and bottom by 4).
 73% = 73/100 (73/100 is the same as 73%).
 34/50 = (multiply top and bottom by 2).