Measurement
Algebra
Financial Maths
Statistics
Surprise Questions
100
What is the time difference between 6:31 pm and 2:48 am on the following day?
What is 8 hours and 17 minutes
100
The gradient and y-intercept of the linear equation
2y - x = 4 are respectively:
What is 1/2 and 2
100
A worker receives a fortnightly pay of $1950. If she, her expected monthly pay before tax, to the nearest dollar, would be?
What is $4225
100
A group of shellfish has a mean width of 16 cm and a standard deviation of 3 cm. The distribution of widths of shellfish is known to be bell-shaped.
Between what lengths will 68% of the shellfish population be?
What is 13cm and 19cm
100
There are 60 000 students sitting a state-wide examination. If the results form a normal distribution, how many students would be expected to score a result between 1 and 2 standard deviations above the mean?
What is 8100
200
The volume of a cylinder with a diameter of 20 cm and a height of 10 cm is:
What is 3142 cm3
200
Which of these points does NOT lie on the straight line 2y - x = 4?
A (0, –2)
B (–1, –5)
C (2, 3)
D (–2, –8)
What is (2, 3)
200
The balance owing on a $215 000 reducing balance loan at 5.25% p.a. with monthly repayments of $1448.76 after the first repayment is (to the nearest dollar):
What is $214 492
200
The average resting pulse rate of a 17-year-old female is 65 beats per minute with a standard deviation of 8 beats per minute. Angela is a 17-year-old female with a resting pulse rate of 61 beats per minute. Angela’s pulse rate corresponds to a z-score of:
What is -0.5
200
How many square centimetres are in 0.0062 square metres?
What is 62 square cm
300
A 100 W light bulb is left on for 4 hours per day for a year. The rate is 30.5 cents/kWh. What is the cost?
What is $44.53
300
The solution to the pair of simultaneous equations 3x + 4y = 7 and x + 2y = 4 is:
What is (-1, 2.5)
300
A vehicle’s average fuel consumption is 8.6 L/100 km. The driver fills the tank with 55 litres of fuel. The average number of kilometres she can travel before the tank is empty, to the nearest km, is:
What is 640 km
300
A manufacturer tested 45 robots and discovered that five of them had faults. Based on the relative frequency of this test, approximately how many robots would be expected to be faulty in the next production phase of 600?
What is 67
300
Which set of data is classified as categorical and nominal?
(A) blue, green, yellow
(B) small, medium, large
(C) 5.2 cm, 6 cm, 7.21 cm
(D) 4 people, 5 people, 9 people
What is A
400
The number of litres of paint required to paint the ceiling of a room measuring 3.5 m by 3.5 m with 2 coats of paint at a coverage rate of 15 m2/L is closest to:
What is 1.6 L
400
An electrician charges $35 per quarter hour plus a call out fee of $75. Which one of the following liner equations determines the cost, $C, if the electrician worked for h hours?
What is C = 140h + 75
400
A customer takes out a loan to purchase a car for $18 990 and pays back the amount owing plus interest in equal monthly instalments. The customer pays a 10% deposit and is charged 5.5% simple interest for 5 years.
What is $363.18
400
If a fair die is rolled two times, the theoretical probability of rolling “at least one 2” is?
What is 11/36
400
This income tax table is used to calculate Evelyn’s tax payable.
Evelyn’s taxable income increases from $50 000 to $80 000.
What percentage of her increase will she pay in additional tax (to the nearest %)?
What is 41%
500
At Penny’s store, a 180-g packet of snake lollies sell for $2.80. At Cent’s store, a 250-g packet of the same snake lollies sell for $3.35.
Which is the better buy? State the savings made per kilogram.
What is Better buy: Cent’s
$2.16 saving per kg.
500
The population of fruit bats is modelled by P = 5 x 3t. The number of years, t, it will take for the population to first exceed 15 000 is approximately:
What is 7.3 years, therefore it occurs in the 8th year.
500
A retail assistant earns $19.80 an hour (after tax). He works an average of 38 hours a week and 8 hours overtime, paid at time and a half. His monthly spending is 45% of his net monthly income.
Calculate the amount spent each month.
What is $1930.50
500
A fruit juice company sells its drinks in bottles of 500 mL. After investigating, the company finds that the volume of drink in each bottle is normally distribution with a mean of 497 mL and a standard deviation of 3 mL. The probability that a bottle selected at random contains more than 500 mL is equal to:
What is 0.16 (16%)
500
Joel mixes petrol and oil in the ratio 40 : 1 to make fuel for his leaf blower.
Joel has 4.1 litres of mixed fuel for his leaf blower left in his container.
He wishes to use this fuel in his lawnmower. However, his lawnmower requires the petrol and oil to be mixed in the ratio 25 : 1.
How much oil should he add to the container so that the fuel is in the correct ratio for his lawnmower?
What is 60 ml of oil