Number Theory
Sets & Probability
Algebra
Consumer Arithmetic
Measurements & Geometry
100

What percentage of 30 is 6?

20

100

Which of the following sets are equivalent to {a,b,c,d}?

a) {4}

b) {a,b,c}

c) {p,q,r,s}

d) {1,2,3,4,5}

{p,q,r,s}

100

Simplify the expression -2(x-4)

-2x+8

100

A plot of land is valued at $18,000. Land tax is 0.7%. What is the total tax to be paid for the land?

$126

100

What is the volume of a cube with a side 6cm long?

216 cm2

200

The number 3.14063 to 3 decimal places is

3.141

200
Out of 160 boys, a quarter plays football. How many play football?

40 boys

200

If m*n = (mn-n2)0.5, then what is 6*3?

3

200

A dress costs $180 usually but has a 10% discount for Christmas. How much does would you save if you bought it now?

$18

200

How much is 2500 mm in metres?

2.5 m

300

Express 4 3/8 as a decimal to 3 sf

= 4.375

= 4.38 to 3sf

300

If U={1,3,5,6,8} and A={3,6}, then the number of elements in A' is 

3

300

The sum of 2 numbers x and y is 18, and the difference is 14. Write two equations to show this. 

x + y = 18

x - y = 14

300

If the simple interest on $800 for 3 years is $54, what is the rate per year?

2.25%

300

The distance around the edge of a circular pond is 88m. How long is the radius?

14 m 

400

If 3n is odd, which is even:

a) 3n-1

b) 3n-2

c) 3n + 2 

d) 3n + 2n

3n-1

400

What is the median of 1,1,5,5,6,7,7,7,7,8?

6.5

400

John has x marbles and Max has double that, so he gives Tom 5 of his. How many does Max have now?

2x - 5

400

A school employs 12 teachers at $26/day and 8 lab technicians at $17/day. What is the mean daily wage, in dollars, of the 20 employees?

$22.40

400

The lengths of the sides of a triangle are x, 2x and 2x. If the perimeter is 20cm, what is x?

4 cm

500

If 560 chocolates are shared in party bags in the ratio 2:3:9, the difference between the largest and smallest bags are

280 chocolates

500

A bag contains 2 red, 4 yellow and 6 blue balls. What is the probability of drawing a blue ball at random?

1/2

500
Expand 3a(a+2b) -b(2a-3b)

3a2 + 4ab + 3b2

500

A customer pays a deposit of $307 to buy a table on hire purchase. He has to pay 6 monthly instalments of $60 each. What is the total cost he pays for the table?

$667

500

A man leaves home at 22:15 hrs and reaches his destination at 04:00 hours on the next day in the same time zone. How many hours did his journey take?

5 hours and 45 mins

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