What is the mean of the set of scores?
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What is the mean of the set of scores?
If
Use the set of scores 1, 3, 3, 3, 4, 5, 7, 7, 12 to answer Questions 6 and 7.
Question 6
What is the range of the set of scores?
Question 7
What are the median and the mode of the set of scores?
Which fraction is equal to a probability of
In a stack of 10 DVDs, there are 5 rated PG, 3 rated G and 2 rated M.
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Grant chooses two DVDs at random from the stack. Copy or trace the tree diagram into your writing booklet.
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Give an example of an event that has a probability of exactly
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Sandy travels to Europe via the USA. She uses this graph to calculate her currency conversions.
She converts all of her money to euros.How many euros does she have to spend in Europe? (3 marks)
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i.
ii.
The distance in kilometres (
Use the formula
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Consider the following set of scores:
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i.
ii.
Which of the following correctly expresses
Leanne copied a two-way table into her book.
Leanne made an error in copying one of the values in the shaded section of the table.
Which value has been incorrectly copied?
If pressure (
Which of the following would be most likely to have a positive correlation?
Joe is about to go on holidays for four weeks. His weekly salary is $280 and his holiday loading is 17.5% of four weeks pay.
What is Joe’s total pay for the four weeks holiday?
The polynomial
A plasma TV depreciated in value by 15% per annum. Two years after it was purchased it had depreciated to a value of $2023, using the declining balance method.
What was the purchase price of the plasma TV? (2 marks)
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The graph shows the predicted population age distribution in Australia in 2008.
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i. | ||
ii. |
iii. | ||
iv. | |
Cecil invited 175 movie critics to preview his new movie. After seeing the movie, he conducted a survey. Cecil has almost completed the two-way table.
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What is the probability that the critic was less than 40 years old and did not like the movie? (2 marks)
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Will this movie be considered a box office success? Justify your answer. (1 mark)
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i.
ii.
iii.
Bob is employed as a salesman. He is offered two methods of calculating his income.
Bob’s research determines that the average sales total per employee per month is $15 670.
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i.
ii.
Christina has completed three Mathematics tests. Her mean mark is 72%.
What mark (out of 100) does she have to get in her next test to increase her mean mark to 73%? (2 marks)
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In a survey, 450 people were asked about their favourite takeaway food. The results are displayed in the bar graph.
How many people chose pizza as their favourite takeaway food? (2 marks)
A point
From
What is the distance,
A bag contains some marbles. The probability of selecting a blue marble at random from this bag is
Which of the following could describe the marbles that are in the bag?
The height of each student in a class was measured and it was found that the mean height was 160 cm.
Two students were absent. When their heights were included in the data for the class, the mean height did not change.
Which of the following heights are possible for the two absent students?
The diagram shows the floor of a shower. The drain in the floor is a circle with a diameter of 10 cm.
What is the area of the shower floor, excluding the drain?
Luke’s normal rate of pay is $15 per hour. Last week he was paid for 12 hours, at time-and-a-half.
How many hours would Luke need to work this week, at double time, to earn the same amount?
Which expression is equivalent to
Let
Find the equation of the line through
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Expand and simplify
Simplify
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The remainder when the polynomial
What is the value of
The polynomial
Find the values of
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Which equation represents the line perpendicular to
What is the solution to the equation
The cost of hiring an open space for a music festival is $120 000. The cost will be shared equally by the people attending the festival, so that
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The base of a water tank is in the shape of a rectangle with a semicircle at each end, as shown.
The tank is 1400 mm long, 560 mm wide, and has a height of 810 mm.
What is the capacity of the tank, to the nearest litre? (4 marks)
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The weight of an object on the moon varies directly with its weight on Earth. An astronaut who weighs 84 kg on Earth weighs only 14 kg on the moon.
A lunar landing craft weighs 2449 kg when on the moon. Calculate the weight of this landing craft when on Earth. (2 marks)
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Solve the equation
In Mathsville, there are on average eight rainy days in October.
Which expression could be used to find a value for the probability that it will rain on two consecutive days in October in Mathsville?
Jane sells jewellery. Her commission is based on a sliding scale of 6% on the first $2000 of her sales, 3.5% on the next $1000, and 2% thereafter.
What is Jane’s commission when her total sales are $5670?
Simplify
The top of the Sydney Harbour Bridge is measured to be 138.4 m above sea level.
What is the percentage error in this measurement?
A car is bought for $19 990. It will depreciate at 18% per annum.
Using the declining balance method, what will be the salvage value of the car after 3 years, to the nearest dollar?