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Question 1 of 20
1. Question
Category: TimeSunset today is at a quarter to 6.
Give today’s sunset in 24 hour time.
CorrectIncorrectHint
- Remember sunset occurs in the evening (pm).
- Need to add 12 to the hour number.
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Question 2 of 20
2. Question
Category: StatisticsA survey was conducted regarding the number of pets owned by families in Potts St.
The results are graphed below.
What fraction of families own less than 2 pets?
CorrectIncorrectHint
- Fraction of families owning less than 2 pets is the number with zero or 1 pet ÷ total number of pets.
- You may have to simplify your fraction.
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Question 3 of 20
3. Question
Category: StatisticsUse the graph to answer the following question.
Which temperature was the most commonly recorded?
CorrectIncorrectHint
The highest column represents the most common temperature.
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Question 4 of 20
4. Question
Category: ProbabilityJonah flipped a coin 5 times and each time a tail showed.
What is the chance of flipping a tail on the sixth toss?
CorrectIncorrectHint
- Probability of an event happening is the desired outcome divided by the total number of outcomes.
- Each new toss of a coin will result in an equal chance of a head or tail falling face up.
- All previous tosses have no influence on the new toss.
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Question 5 of 20
5. Question
Category: MeasurementCorrectIncorrectHint
- Find the weight of 30 pumpkin by multiplying 30 by 9 kg.
- Now change the number of kilograms you got in step 1 to tonnes (1000 kg = 1 tonne).
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Question 6 of 20
6. Question
Category: MeasurementA builders plan shows the width of the main bedroom of a house to be 3.05 metres.
How many millimetres is the width of the main bedroom?
CorrectIncorrectHint
Remember there are 1000 mm in a metre.
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Question 7 of 20
7. Question
Category: AlgebraThe graph of a line is shown below.
Click and drag the correct values that match the gradient and y intercept.
Sort elements
- -5/2
- -5
- -2/5
- 5
- 2/5
- 5/2
- -2
-
gradient
-
y intercept
CorrectIncorrectHint
- Gradient is the slope of the line, and is found by using rise/run.
- The rise from one coordinate to the next is 5 while the run is -2.
- The y intercept is where the line crosses the y axis.
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Question 8 of 20
8. Question
Category: AlgebraFind the solution to this equation.
CorrectIncorrectHint
- Use your backtracking skills to solve for x.
- Multiply both sides by 4.
- Subtract 2x from both sides.
- Add 20 to both sides.
- Divide both sides by 2.
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Question 9 of 20
9. Question
Category: AlgebraWhich expression is equal to
9a + 24
CorrectIncorrectHint
- This expression has been factorised. The common factor being 3.
- To find the correct answer we need to expand the brackets.
- Choice A: 3(3a + 8) = 3x3a + 3×8 = ?
- Choice B: 3(3a + 9) = 3x3a + 3×9 = ?
- Choice C and D can be similarly found.
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Question 10 of 20
10. Question
Category: AlgebraCalculate the value of 11x²y – 5x when x = 3 and y = 4
CorrectIncorrectHint
- Substitute the given values in place of the corresponding variables.
- We now have 11(3²)4 – 5(4).
- Enter the number equation into the calculator as it is listed in step 2.
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Question 11 of 20
11. Question
Category: AlgebraJane is x years old. Karen is 5 years older than Jane. Together their ages total 24.
Which equation represents the total age of the two siblings?
CorrectIncorrectHint
- If Jane is x years old, then Karen is x + 5 years of age.
- Now add the two ages together and complete the equation.
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Question 12 of 20
12. Question
Category: AlgebraThe following grid shows the layout for a game of battleships.
Notice the cruiser wasn’t hit by a bomb but the Aircraft carrier was.
Match the hit and miss bombs with their correct coordinates.
Sort elements
- (5,4)
- (8,5)
- (4,5)
- (5,8)
-
miss
-
hit
CorrectIncorrectHint
Coordinates are listed with the x axis first (x axis number, y axis number).
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Question 13 of 20
13. Question
Category: SpaceGive the size of the angle marked x°.
CorrectIncorrectHint
- Facts needed to solve this question include:
- 180° in a triangle. Adjacent angles add up to 180°. Base angles of an isosceles triangle are equal.
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Question 14 of 20
14. Question
Category: NumberSimon the electrician increased his hourly charge from $60/h to $72/h.
What is the percentage increase in his fee?
CorrectIncorrectHint
- Find the increased amount by subtracting the old charge from the new charge.
- The percentage increase is found by dividing the increase by the original amount and then x 100.
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Question 15 of 20
15. Question
Category: NumberCalculate the following expression to two decimal places.
CorrectIncorrectHint
- Be careful with this question.
- Calculate answers to the numerator and denominator separately
- Now divide your answer to the numerator by the answer to the denominator.
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Question 16 of 20
16. Question
Category: NumberOn which day was Adventure Time the busiest per hour?
Day 1: 4000 people every 4 hours Day 2: 4500 people every 5 hours
Day 3: 3150 people every 3 hours Day 4: 2040 people every 2 hours
CorrectIncorrectHint
- The busiest day is found by dividing the number of visitors by the number of hours.
- The largest amount of visitors per hour, the better the attendance.
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Question 17 of 20
17. Question
Category: NumberCorrectIncorrectHint
Carry out the calculation by entering √, then 2600.
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Question 18 of 20
18. Question
Category: NumberA miniature railway built on a scale of 1:300 has a steam engine
measuring 21.5 centimetres.
How many metres in length is the actual steam engine?
CorrectIncorrectHint
- The scale is 1 cm : 300 cm.
- If the picture is 21.5 cm then the real steam engine must be 21.5 x 300.
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Question 19 of 20
19. Question
Category: NumberHow many square metres (m²) is Nick’s block of land (green area)?
CorrectIncorrectHint
- Nick’s block of land is in the shape of a trapezium.
- The area of a trapezium is found by halving the addition of the parallel sides and multiplying by the height.
- To find the height we need to use Pythagoras’ theorem (h² = a² + b²).
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Question 20 of 20
20. Question
Category: NumberCalculate the surface area of this cardboard box.
CorrectIncorrectHint
- Surface area of the box is found by find the area of each surface and then summing all answers.
- Total surface area = Area of front & back + Area of left and right side + Area of top & bottom.