Years 9-10 Maths (2)

Equations

100

3g = 24

g = 8

200

y - 8 = -3

y = 5

300

h/9 = -4

h = -36

400

2x - 3 = 7

x = 5

500

3k + 8 = -4

k = -4

Ratio and Rates

100

Simplify: 12 : 36

1 : 3

200

Simplify: $80 in 4 hours

$20 per hour

300

Simplify: 8 : 14

4 : 7

400

What is the average speed of a car that travels 210 km in 3 hours?

70 km/h

500

What is the missing number in the equivalent ratio:

___ : 6 = 24 : 36

4

Algebra

100

18d - d

17d

200

7n - 5f - 4n + 2f

3n - 3f

300

Expand: 3a(2a - 7)

6a² - 21a

400

Factorise: 12c² + 16c

4c(3c + 4)

500

Simplify: 8p - (7 - 3p) + 2

11p - 5

Indices

100

4e X 5e

20e²

200

(42h^5)/(6h^3)

7h²

300

(2n⁵)³

8n¹⁵

400

5r⁰ + (5r)⁰

6

500

(5w^5 xx 6w^7) / (10w^4)

3w⁸

Perimeter/Area

100

Perimeter of a square of side 8cm

32cm

200

Area of a rectangle with sides 7m and 8m

56m²

300

Perimeter of a regular pentagon with side length 6cm

30cm

400

Area of a triangle with base 12cm and height 5cm

30cm²

500

Area of a trapezium with parallel sides 8cm and 12cm and height 6cm

60cm²