various
What is 650 000 000 expressed in standard form?
A. 6.5 × 107
B. 6.5 × 108
C. 65 × 106
D. 65 × 107
B. 6.5 × 108
A jar contains 12 red, 10 black and 13 white lollies. Alex picks out a red lolly and eats it. He then randomly picks a second lolly. What is the probability that the second lolly is also red?
A. 11/34 C. 12/34
B. 12/35 D. 12/35
A. 11/34
The area (A) of a circle is given by the formula A = Pi r2, where r is the radius. What is the value of A, correct to three significant figures, if r = 3.55 ?
A. 39.5
B. 39.6
C. 39.591
D. 39.592
A. 39.6
A water tank holds 6000 litres when full. The tank is full when water starts to flow out of it at a constant rate of 3 litres per minute until the tank is empty. Which expression represents the volume (V litres) of water in the tank after t minutes?
A. V = 6000 − 3t B. V = 6000t − 3
C. V = 3 − 6000t D. V = 3t − 6000
A. V = 6000 − 3t
Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day. What are Tian’s total earnings if she works 9 hours per day for 5 days?
A. $329.85
B. $936.45
C. $1001.25
D. $1649.25
C. $1001.25
Which true bearing is the same as S48°W?
A. 132°
B. 222°
C. 228°
D. 312°
C. 228°
A survey of which of the following would provide data that are both categorical and nominal?
A. Hair colour
B. Height in centimetres
C. Number of people present at a concert
D. Size of coffee cup classified as small, medium or large
A. Hair colour
Suppose a = b/7 , where b = 22 What is the value of a, correct to three significant figures?
A. 3.14
B. 3.15
C. 3.142
D. 3.143
A. 3.14
Which expression can be used to convert a speed of 3 metres per minute to a speed in centimetres per second?
A. 3 × 100 ÷ 60
B. 3 × 100 × 60
C. 3 ÷ 100 ÷ 60
D. 3 ÷ 100 × 60
A. 3 × 100 ÷ 60
An amount of $2500 is invested at a simple interest rate of 3% per annum. How much interest is earned in the first two years?
A. $75
B. $150
C. $2575
D. $2652
B. $150
What is 4.26819 when rounded to 3 decimal places?
A. 4.26
B. 4.27
C. 4.268
D. 4.269
What is 4.26819 when rounded to 3 decimal places? C. 4.268
A bag contains 150 jelly beans. Some of them are red and the rest are blue. The ratio of red to blue jelly beans is 2 : 3. Sophie eats 10 of each colour. What is the new ratio of red to blue jelly beans?
A. 2 : 3
B. 4 : 9
C. 5 : 8
D. 11 : 17
C. 5 : 8
Blood pressure is recorded as systolic pressure/diastolic pressure and measured in mmHg. When standing upright, Mary’s blood pressure was 139/85. Three minutes after sitting down, her blood pressure was 118/74. What was the change in Mary’s diastolic blood pressure?
A. There was an increase of 11 mmHg.
B. There was an increase of 21 mmHg.
C. There was a decrease of 11 mmHg.
D. There was a decrease of 21 mmHg
C. There was a decrease of 11 mmHg.
Bonus 200 points
Heart rate is measured in beats per minute. Maximum heart rate (MHR) is calculated using the following formula. MHR = 220 – age Target heart rates are calculated as a percentage of MHR. Felicity’s age is 28. Her trainer calculates that her target heart rate range is 60% to 80% of her MHR. Which of the following lies within this target heart rate range?
A.100 beats per minute
B.140 beats per minute
C.180 beats per minute
D.220 beats per minute
B.140 beats per minute
In ten years, the future value of an investment will be $150 000. The interest rate is 4% per annum, compounded half-yearly. W hich equation will give the present value (PV ) of the investment?
A. PV = 150 000/(1 + 0.04)10
B. PV = 150 000/(1 + 0.04)20
C. PV = 150 000/(1 + 0.02)10
D. PV = 150 000/(1 + 0.02)20
D. PV = 150 000/(1 + 0.02)20
Two towns are 5 cm apart on a map that uses a scale of 1 : 100 000. What is the actual distance between the two towns?
A. 5 km
B. 50 km
C. 500 km
D. 5000 km
A. 5 km
Random category deduct 200 from a team of your choice
Sugar is sold in four different sized packets. Which is the best buy?
A. 100 g for $0.40
B. 500 g for $1.65
C. 1 kg for $3.50
D. 2 kg for $6.90
B. 500 g for $1.65
9 A student is thinking of a number. Let the number be x. When the student subtracts 8 from this number and multiplies the result by 3, the answer is 2 more than x. Which equation can be used to find x
A. 3(x − 8) = 2 x
B. 3x − 8 = 2 x
C. 3(x − 8) = x + 2
D. 3x − 8 = x + 2
C. 3(x − 8) = x + 2
A tap is dripping at the rate of 4 mL per minute. Which expression shows how many litres this would amount to in one year?
A. 4 × 1000/ (60 × 24 × 365)
B. (4 × 60 × 24 × 365)/1000
C. (60 × 24 × 365) /(4 × 1000)
D. 1000 / (4 × 60 × 24 × 365)
B. (4 × 60 × 24 × 365)/1000
Three years ago an appliance was valued at $2467. Its value has depreciated by 15% each year, based on the declining-balance method. What is its salvage value today, to the nearest dollar?
A. $952
B. $1110
C. $1357
D. $1515
D. $1515
An item was purchased for a price of $880, including 10% GST. What is the amount of GST included in the price?
A. $8.00
B. $8.80
C. $80.00
D. $88.00
C. $80.00
Which compass bearing is the same as a true bearing of 110°?
A. S20°E
B. S20°W
C. S70°E
D. S70°W
C. S70°E
James invests $5000 at 3% per annum simple interest for 2 years, while Sally invests $5000 at 3% per annum compounded annually for 2 years. For the given investments, which of the following statements is TRUE?
A. James earns more interest than Sally.
B. Sally earns more interest than James.
C. James and Sally earn the same amount of interest.
D. There is not enough information to compare the interest earned by James and Sally.
B. Sally earns more interest than James.
The distance between Bricktown and Koala Creek is 75 km. A person travels from Bricktown to Koala Creek at an average speed of 50 km/h. How long does it take the person to complete the journey?
A. 40 minutes
B. 1 hour 25 minutes
C. 1 hour 30 minutes
D. 1 hour 50 minutes
C. 1 hour 30 minutes
A delivery truck was valued at $65 000 when new. The value of the truck depreciates at a rate of 22 cents per kilometre travelled. What is the value of the truck after it has travelled a total distance of 132 600 km?
A. $35 828
B. $29 172
C. $14 872
D. $14 300
A. $35 828