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Question 1 of 20
1. Question
Category: TimeSkill (Yr 6):): Applying knowledge of elapsed time to determine the starting time.
Julia walked to her friend’s house and arrived at 4:20 pm.
It took one hour and twenty-five minutes.
What time did she begin her walk?
CorrectIncorrectHint
- We need to find the time Julia started her walk.
- Therefore we need to come back 1 hour 25 minutes in time.
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Question 2 of 20
2. Question
Category: TimeSkill (Yr 6): Calculating and using elapsed time in a familiar context.
A plane leaves Brisbane at 10:35 Brisbane time and arrives in
Perth at 14:45 Brisbane time.
How long is the flight?
CorrectIncorrectHint
- The elapsed time from 10:35 to 14:45 is the same as 10:35 am to 2:45 pm.
- 14:45 – 10:35 pm = ?
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Question 3 of 20
3. Question
Category: MeasurementSkill (Yr 6): Convert between standard metric units of length, mass and capacity.
A carton contains 12 cans of spaghetti, each having a mass of 500 grams.
What is the mass of the carton in kilograms?
CorrectIncorrectHint
- One can weighs 500 grams. Therefore 12 cans will weigh 500 x 12 grams.
- Your answer from step 1 is in grams. Now change to kilograms.
- Remember 1000 g = 1 kg.
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Question 4 of 20
4. Question
Category: MeasurementA two litre jug of water is poured into six 250 millilitre glasses.
The remaining water is poured into smaller 100 millilitre glasses.
How many of the smaller glasses are filled with water?CorrectIncorrectHint
- Convert the 2 litres to millilitres. (Note: 1000 mLs = 1 L)
- Calculate the number of mls poured into six large glasses by multiplying six by 250.
- The remaining water will be poured into the smaller glasses.
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Question 5 of 20
5. Question
Category: MeasurementArrange the following amounts in order of weight by clicking and dragging the
correct amounts to their correct positions.
5555 grams, 0.05 tonnes, 55 kilograms.
Sort elements
- 55 kilograms
- 0.05 tonnes,
- 5555 grams
-
heaviest
-
next heaviest
-
lightest
CorrectIncorrectHint
- Use t o o k o o g o o m to convert all to kilograms, then compare.
- Or use 1000 mg = 1 g; 1000 g = 1 kg; 1000 kg = 1 t.
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Question 6 of 20
6. Question
Category: MeasurementArrange the following amounts in order of capacity by clicking and dragging the
amounts to their correct positions.
49 litres, 4550 millilitres, 0.45 kilolitres.Sort elements
- 4550 millilitres
- 49 litres
- 0.45 kilolitres
-
least capacity
-
next largest amount
-
greatest capacity
CorrectIncorrectHint
- Change all amounts to the same unit, litres would be best. Use k o o l o o m to help.
- Or use 1000 mLs = 1000 L; 1000L = 1 kL
- Now click and drag being sure to place the smallest at the top.
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Question 7 of 20
7. Question
Category: NumberThe prices of five new cars are listed below.
$19 890, $19 758, $19 816, $19 588, $19 640.
Round each price to the nearest $1000 before giving the best approximation
for the total cost of the cars?
CorrectIncorrectHint
- All car prices are over $19 000 and close to $20 000.
- So, it would be best to use an approximation of $20 000 per car.
- Now multiply 20 000 by 5
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Question 8 of 20
8. Question
Category: NumberWhat is the value of 48.00 ÷ 1000?
CorrectIncorrectHint
- To divide by powers of 10 we move the point to the left.
- In this question there are 3 zeros so we need to move the point 3 places to the left.
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Question 9 of 20
9. Question
Category: NumberA gold producer uses a set of old scales to measure some gold.
On one side he has 345 grams of weights,
while on the other side he has 186 grams of gold.
How many grams of gold does he need to balance the scales?
CorrectIncorrectHint
- We need to find the extra weight required to get from 186 g to 345 g.
- Decide on the correct operation needed (+, -, x, ÷) to solve the problem.
- Carry out the chosen operation.
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Question 10 of 20
10. Question
Category: NumberAn electrical discount store buys dishwashers for the price shown
and then sells them to the public at a 15% profit.
How much profit does the store make?
CorrectIncorrectHint
- Work out 15% of $400 by finding 10% and then 5% and adding the amounts together.
- Remember to find 10% we delete the end zero.
- This means 5% will be half of 10%.
- Now add the answers from step 2 and step 3 to obtain 15%.
- What you get in step 5 is the profit made on the sale.
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Question 11 of 20
11. Question
Category: ProbabilityThe table below represents 50 people attending a movie.
If a person from the audience is chosen at random to give an interview,
what is the probability that it is an adult female?
CorrectIncorrectHint
- Probability is: the amount you want divided by the total available.
- In this example we want an adult female of which there are 5. The total people available is 50.
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Question 12 of 20
12. Question
Category: StatisticsBelow is a column graph showing the type of meat (in kilograms)
sold in a butchers shop throughout the years 2002 and 2003.
Approximately how much beef was sold in the Winter of 2003?
CorrectIncorrectHint
The beef columns are purple and in Winter 2003 it reaches midway between 150 and 200.
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Question 13 of 20
13. Question
Category: StatisticsThis graph shows the average life expectancy for Males and Females
in Australia from 1988 until 2006.
Which statement below is incorrect?
CorrectIncorrectHint
- Male is blue and female is yellow.
- Years are represented on the horizontal axis and age on the vertical axis.
- Study each column carefully and match with the ages where necessary.
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Question 14 of 20
14. Question
Category: StatisticsFind the mean and median of these six scores.
1, 2, 4, 5, 6, 6
(click and drag the correct answers)
Sort elements
- 4
- 4.5
- 5
- 6
-
mean
-
median
CorrectIncorrectHint
- The median is the middle score once the scores have been placed in order.
- The mean is found by adding all the scores and dividing by the number of scores.
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Question 15 of 20
15. Question
Category: NumberA car uses 10 litres of fuel to travel 90 kilometres.
How many litres of fuel would be needed to travel 450 kms?
CorrectIncorrectHint
- Fuel consumption is 90 km/10 L.
- Work out how many times 450 is bigger than 90 and then multiply your answer by 10.
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Question 16 of 20
16. Question
Category: NumberSimon leaves home in his car and travels at 80 kph for 4½ hours?
How far has he travelled?
CorrectIncorrectHint
Rule to find distance is Speed x Time.
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Question 17 of 20
17. Question
Category: SpaceGive the size of the unknown angle (x°).
CorrectIncorrectHint
Add all known angle sizes and then subtract from 360°
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Question 18 of 20
18. Question
Category: SpaceWhich of the following 3 dimensional shapes has 4 vertices and 6 edges?
CorrectIncorrectHint
Edges are where the faces meet and the vertices are where the edges meet.
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Question 19 of 20
19. Question
Category: Algebra3(3a – 2) – 3(a – 1) simplifies to:
CorrectIncorrectHint
- Expand brackets first. Remember a negative times a negative is a positive
- Now collect like terms.
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Question 20 of 20
20. Question
Category: AlgebraWhat is the value of a if
CorrectIncorrectHint
- Remove the denominator by cross multiplying.
- That is, multiply 5 x 3 and a x 8.
- Now backtrack.