- This first practice covers Time and Number
- You have 35 minutes to score 12/20 and receive the blue tick
- Take advantage of the Hint box if necessary
- Immediate feedback available for this quiz
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Question 1 of 20
1. Question
Skill: Calculating and using elapsed time in a familiar context.
Steven left for school at 8:45 am. He arrived at school at 9:06 am.
How long did it take Steven to get to school?
CorrectIncorrectHint
- Count the minutes from 8:45 to 9:06.
- 8:45 to 9:00 is 15 minutes plus the extra 6 minutes past 9.
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Question 2 of 20
2. Question
Skill (Level 2): Using the elapsed time to calculate the final time.
Jane left the house at 7:30 am and returned 13½ hours later.
What time did she return?
CorrectIncorrectHint
- 7:30 am until 7:30 pm is 12 hours.
- Now add another 1½ hours to 7:30 pm.
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Question 3 of 20
3. Question
Skill (level 2): Extracting information from a Venn diagram with all values provided.
A group of year 10 girls were surveyed regarding next semesters sport preference.
The choice of netball and soccer were offered.
The results are shown below.
How many girls responded yes to soccer, but no to netball?
CorrectIncorrectHint
It is necessary to find the area that gives the number of soccer players but not tennis players.
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Question 4 of 20
4. Question
Skill (Level 2): Calculating a quarter, a half or a third of a whole number without a remainder.
Bree intends to save three-quarters of her weekly pay.
Her pay is $600. How much should she be able to save?
CorrectIncorrectHint
- Find one quarter first by dividing 600 by 4.
- Multiply your answer from step 1 by 3 to find three quarters.
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Question 5 of 20
5. Question
Skill (Level 1): Perform simple calculations using decimals with the same number of decimal places.
The digital thermometer shows the before and after temperatures in a science experiment.
What is the difference in temperature?
CorrectIncorrectHint
Subtract the smaller number from the larger number.
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Question 6 of 20
6. Question
Skill (Level 3): Adding and subtracting integers to solve a problem in a familiar context.
The minimum temperature at a mountain resort was –13ºC.
During the day it rose to a maximum of –6ºC.
How much did the temperature rise during the day?
CorrectIncorrectHint
Count along the number line from -13 to -6 or subtract 6 from 13 (13 – 6).
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Question 7 of 20
7. Question
Skill (Level 2): Uses the correct order of operations to solve a two-step calculation.
T-shirts are sold for $24 each.
When customers buy more than 3 T-shirts, they are given an $8 discount.
Dylan bought 5 T-shirts.
Which expression shows the total amount of money he should pay?
CorrectIncorrectHint
- Dylan buys 5 t-shirts at $24 each. Choose the correct operation to obtain the total cost.
- Because Dylan bought more than three, there will now be an $8 discount.
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Question 8 of 20
8. Question
Skill (Level 3): Extracts and evaluates the mathematical information embedded in a text.
James left on a road trip at 8:00 am.
After travelling for 3 hours, he stopped for a half-hour coffee break.
He then resumed his journey reaching his destination two and a half hours later.
What time did James arrive at his destination?
CorrectIncorrectHint
- Departure time 8:00.
- Add 3 hours, then 30 minutes for the break and then 2 hours 30 minutes.
- You now have your arrival time. Don’t forget the am/pm of the arrival time.
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Question 9 of 20
9. Question
Skill (Level 2): Calculating a quarter, a half or a third of a small quantity.
A crowd watching a school netball game numbered 840.
One-quarter of them were students from the local high school.
How many of those watching were not from the local high school?
CorrectIncorrectHint
- Divide 840 by 4 to find a quarter (840 ÷ 4 = 210). This number represents the number of students from the school.
- Subtract the answer in step 1 from 840 to find the number, not from the local school.
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Question 10 of 20
10. Question
Skill (Level 3): Extract, interpret and comprehend mathematical information from a table.
Three friends complete a job.
They share their total pay based on the number of days each worked.
Name James Robert Ian Days worked 3 4 2 This week their total pay is $900. What is Ian’s share?
CorrectIncorrectHint
- Add up the days worked to get the total number of days.
- Divide the money earned by the total number of days to find one day’s pay.
- Now work out Ian’s pay by multiplying the days he worked by the answer from step 2.
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Question 11 of 20
11. Question
Skill (Level 3): Calculating a half and a third of a small quantity and applying the operation to a familiar context.
Oliver spent $120 on Christmas gifts for his family. He spent half of the money
on his Mum, a third of the money on his Dad and the remainder on his sister.
How much did he spend on his sister?
CorrectIncorrectHint
- Divide 120 by 2 (120 ÷ 2) to work out the cost of Mum’s gift.
- Divide 120 by 3 (120 ÷ 3) to work out the amount spent on Dad’s present.
- Subtract the answers you got in step 1 and step 2 from 120 to find the amount spent on the sister.
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Question 12 of 20
12. Question
Skill (Level 1): Extracts, interprets and comprehends fractions, including their equivalent value.
Mr Ranger has 32 students in his art class.
On a particular day, there are four away.
What fraction of the class is present?
CorrectIncorrectHint
- 4/32 are absent.
- This means 28/32 were present. You may need to simplify your fraction
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Question 13 of 20
13. Question
Skill (Level 1): Calculating the total amount of money in a collection of notes and coins.
Edith empties her purse and discovers the following notes and coins.
How much money does she have in her purse?
CorrectIncorrectHint
- Count the notes.
- Count the coins.
- Add the answers from steps 1 and 2.
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Question 14 of 20
14. Question
Skill (Level 3): Comparing and ordering fractions with varying denominators.
Graeme has been asked by his boss to sort his spanner set in order of size.
The spanners sizes (inches) are 1/2, 3/10, 7/10 and 1/5.
Which spanners would occupy the largest and smallest position?
(Drag and drop the fractions to the correct position)
Sort elements
- 7/10
- 1/5
- 1/2
- 3/10
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largest spanner
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smallest spanner
CorrectIncorrectHint
- Graeme needs to change all fractions to the same denominator (bottom number) before making a comparison.
- Once he has changed them to tenths, he can then arrange them in order.
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Question 15 of 20
15. Question
Skill (Level 3): Calculating multiples of 1% & 10% using familiar strategies.
A toy shop is having a Christmas sale.
All toys are marked down by 20%.
What is the new price of the toy truck?
CorrectIncorrectHint
- $49.99 is approximated to $50. So, we need to find 20% of $50.
- Find 10% of $50 first, then double your answer to obtain 20%.
- Subtract your answer in step 2 from the $50.
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Question 16 of 20
16. Question
Skill (Level 3): Converting between formal and informal units of length to calculate a distance.
A plan of Leah’s staircase is shown below.
The bottom step is 15 centimetres high while all remaining steps are 20 centimetres.
How high is the staircase in metres?
CorrectIncorrectHint
- Count the number of steps that are 20 centimetres high and then multiply by 20.
- Add your answer to 15 centimetres (the height of the bottom step).
- Convert the number of centimetres you calculated in step 2 to metres.
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Question 17 of 20
17. Question
Skill (Level 3): Selects and uses appropriate familiar mathematical problem-solving strategies to solve problems in familiar contexts.
Selena bought a booklet containing 10 movie tickets for $120 as a gift for her
Dad’s birthday. Normally one adult ticket cost $16.
How much does Selena save per ticket by buying a book of ten tickets?
CorrectIncorrectHint
- Divide the $120 by 10 to find the cost of one ticket from the booklet.
- Subtract the answer in step 1 from the cost of an individual ticket to get the amount saved.
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Question 18 of 20
18. Question
Skill (Level 2): Using analogue clocks and text to find elapsed time.
Hilary boards the train at Sydney Central. It is early afternoon as indicated by the clock.
She arrives at her destination at 15:20.
How long was the journey?
CorrectIncorrectHint
- The afternoon is pm.
- Change 15:20 to 12 hour time before subtracting the time showing on the clock from the arrival time.
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Question 19 of 20
19. Question
Skill (Level 3): Use and apply the order of arithmetical operations to solve multi-step calculations.
Isaac works part-time at ‘Great Chicken’ and is paid $15 an hour.
30% of his earnings are deducted for tax.
If Isaac worked for 20 hours, how much does he pay in tax?
CorrectIncorrectHint
- Isaac pays 30% of his wage to the taxman. 30% as a decimal is 0.30.
- His pay is $15 per hour for 20 hours, and his tax is 30% of his earnings.
- Now find 30% of your answer to step 2.
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Question 20 of 20
20. Question
Skill (Level 2): Calculating the duration of an event using the appropriate conversion of units of time.
Alistair takes part in a triathlon.
He completes the swim leg in 35 minutes,
the cycle leg in 55 minutes and the run leg in 1 hour 25 minutes.
How long does it take Alistair to complete the triathlon?
CorrectIncorrectHint
- Add all 3 times to obtain the total (35 + 55 + 1 hr 25 mins).
- 1 hour 25 minutes is 85 mins. So add 35 + 55 + 85.
- Convert your answer from step 2 into hours and minutes.