Numbers/Pythagoras
Algebra
Index Laws
Measurement
Rates/Ratios
100

Solve: -5 - 9

-14

100

Simplify: x + 4x + 2

5x + 2
100

What does a5 x a2 equal?

a7

100

How many millimeters in a centimeter?

10

100

Simplify this ratio:

3:6:9

1:2:3

200

3 - (5 x 9 + 4) - 6

- 52

200
What is the value of 3x - 2y if x = -4 and y = 3?

-18

200

Give the value for (2x)0

1

200

What is the formula for the circumference of a circle?

𝝅d or 2𝝅r

200

Mr James travels 120km in 3 days.

 Express this as a rate.

40km/day

300

What is 190 minutes after 3pm in 24 hour time?

1810 hours

300

Expand and Simplify

3(x - 2) + 5(2 - x) 

4 - 2x (or -2x + 4)

300

Expand (3a2b)2

9a4b2

300

A carton has a volume of 3500cm3. What is its capacity in Litres?

3.5L

300

Jeremy splits $150 into his spending and savings account in the ratio 2:3. 

How much does he save?

$90

400

If a right angled triangle has short sides of 5m and 8m, what is the length of the hypotenuse?

√89m

400

Write an algebraic expression for:

The product of 'a' and the difference between 'b' and 3

a x (b-3)

400

Simplify

(5m6 x 3mn) / (6n)2

5m7 / 12n

400

The bases of a trapezium are 4km and 8km long, and its height is 6km. What is its area?

36km2

400

Ben buys 'p' pens for 's' dollars. What is the price of 2 pens?

(Hint, find the price of 1 pen first). 

$2s/p

500
Two buildings are 25m apart. There is a 50m long cable connecting the tops of each building (on the edge closest to each other). What is the difference in height of the two buildings (nearest m)?

43m

500

Factorise

16xy - 14y + 4y2 

2y(8x - 7 + 2y)
500

Express using Positive Indices:

3a-5 / b-2c

3b2 / a5c

500

A cube has a surface area of 54cm2

What is its volume?

27cm3

500

Usain Bolt sprints 100m in 9.6s. What is his average speed in km/h (to one d.p.)?

37.5km/h

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