- 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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1. QuestionCategory: Measurement
What is the length of the paper clip shown below?
(Units are centimetres)CorrectIncorrect
- The paper clip extends from the 36-centimetre mark to the 42-centimetre mark.
- Count how far it is from 36 to 42 by going 37, 38, 39, etc…42 or subtract 36 from 42.
2. QuestionCategory: Number
A nanosecond is one billionth of a second.
Which of the following is a nanosecond?CorrectIncorrect
- One billion is one thousand million.
- Now write this as a fraction.
3. QuestionCategory: Statistics
The goals scored by players during a soccer season are graphed below.
Which player scored 6 goals less than Sam?CorrectIncorrect
- Check out the height of the column that represents Sam.
- Now find the column that has a height six less than Sam’s column.
4. QuestionCategory: Measurement
Simon 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?CorrectIncorrect
- 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.
5. QuestionCategory: Ratio & Rates
A 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?CorrectIncorrect
- 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.
6. QuestionCategory: Measurement
A baby’s weight increases its weight in the first year of its life by three times its birth weight.
A baby at birth weighs 3 100 grams.
What will its estimated weight be in 12 months?CorrectIncorrect
- 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
7. QuestionCategory: Statistics
Joseph 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?CorrectIncorrect
The median is the middle score once all scores have been arranged in ascending (↑) order.
8. QuestionCategory: Probability
In 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?CorrectIncorrect
- 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.
9. QuestionCategory: Number
A packet of 6 erasers are shown below.
What is the best approximation for the cost per eraser?CorrectIncorrect
- 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.
10. QuestionCategory: Measurement
What is the weight in kilograms shown here?CorrectIncorrect
- 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.
11. QuestionCategory: Statistics
This pie chart shows the consumption of frozen fruit by Australians.
Which statement is false?CorrectIncorrect
- 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.
12. QuestionCategory: Time
Australian time zones during non-daylight saving periods are as follows:
Use this knowledge of Australian time zones during non-daylight saving periods to
state the time in Sydney if it is 15 minutes past 11 on Friday night in Perth.CorrectIncorrect
- 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.
13. QuestionCategory: Number
A car’s petrol tank is three-quarters full. The motorist topped up the tank by adding 12 litres.
How many litres does the tank hold when full?CorrectIncorrect
- 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?
14. QuestionCategory: Number
A 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?CorrectIncorrect
- Fifteen tonnes per minute is the rate.
- To find the number of minutes, it takes to receive 120 tonnes we divide 120 by 15.
15. QuestionCategory: Number
Three Line Parking has 900-car 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?CorrectIncorrect
- 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.
16. QuestionCategory: Time
Anne 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?CorrectIncorrect
- Find Anne’s departure time.
- Find Kate’s departure time.
- Now subtract the earlier departure time from the later departure time.
17. QuestionCategory: Number
Mary 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).CorrectIncorrect
- $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.
18. QuestionCategory: Measurement
Zac is stacking identical boxes of height 36 centimetres.
How high would a stack be if it contained four boxes?CorrectIncorrect
- 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).
19. QuestionCategory: Space
Consult the picture below.
Which boat is South West of the Green boat and South East of the Navigation Marker?CorrectIncorrect
- 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.
20. QuestionCategory: Number
Vera is building a house. She estimates her main costs to be:
Buying land: $215 000
Planning approval: $4 685
Cost of building: $197 500
To the nearest $1 000, what is her total cost?CorrectIncorrect
- Adding all four amounts together will give Vera the total of her outlay.
- Now round to the nearest thousand.
21. QuestionCategory: Number
A 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?CorrectIncorrect
- Share means to divide.
- 140 000 ÷ 200 will give the number of litres per person.
22. QuestionCategory: Measurement
Emily 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?CorrectIncorrect
- 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.
23. QuestionCategory: Ratio & Rates
Myrtle travels at a speed of 95 kph for 4 hours.
How far does Myrtle travel?CorrectIncorrect
- From previous quizzes we learnt that Distance = Speed x Time.
- Carry out the operation to obtain the distance travelled.
24. QuestionCategory: Number
Three 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?CorrectIncorrect
- 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.
25. QuestionCategory: Ratio & Rates
The local swimming club consisting of 42 swimmers and five coaches,
have booked into a mountain resort for a period of bonding.
How many of these cabins do they need to book to accommodate every person?CorrectIncorrect
- Count the number of beds inside the cabin.
- Divide the answer in part one into 47 (42 students and five coaches).
26. QuestionCategory: Measurement
A floor rug measuring 4 metres by 3 metres is placed in the middle of a living room.
The room measures 5 metres by 4.5 metres.
How much of the floor is not covered by the rug?CorrectIncorrect
- 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.
27. QuestionCategory: Measurement
Here 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?CorrectIncorrect
- 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.
28. QuestionCategory: Number
Mulching 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?CorrectIncorrect
- 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.
29. QuestionCategory: Number
A tradesman quotes $780 plus 10% GST to resurface a driveway.
How much does it cost to resurface the driveway after the 10% is added?CorrectIncorrect
- 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.
30. QuestionCategory: Number
Michael’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?CorrectIncorrect
- 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).