Year 9 term 2 2026

Index Laws

100

simplify y³ x y²
 

y⁵

200

y⁷ / y³

y⁴

300

write with a positive exponent: a^-4

1 / a⁴

400

simplify (m²)⁴

m⁸

500

Jessie says b³ + b²  = b⁵

explain the mistake 

exponents are only added when multiplying, not adding terms

Scientific Notation

100

write 6000 in scientific notation

6 x 10³

200

write 3.2 x 10⁴

32000

300

write 0.00056 in scientific notation

5.6 x 10^-4

400

The earth's diameter is 1.3 x 10⁴km. Write it in standard form.

13000km

500

The moon is 384000km away. About how many Earth diameters fit into this distance?

30 Earths

Linear Relationships

100

A worker earns $20 per hour. How much for 4 hours?

$80

200

The rule is 

C = 80t + 150.

Find the cost for 5 hours?

$550

300

Find t if 

C= 80t + 150 and C = 470

t = 4

400

Deal A: $30 / hour

Deal B: $20 / hour + $40 booking fee.

Which is cheaper for 3 hours. 

Deal A

500

Deal A: $30 / hour

Deal B: $20 / hour + $40 booking fee.

Which deal is cheaper for 6 hours?

Deal B

Pythagoras

100

Find the hypotenuse of a triangle with sides 3 & 4. 

5

200

Find the missing side if 

c = 13 and one side is 5

12

300

A ladder reaches 8m high and sits 6m from the wall. How long is it?

10m

400

True or false

Pythagoras only works with right angle triangles. 

True

500

Frank walks 8m east and 15m north. Find the shortest distance home. 

17m