Year 10 Maths

Arithmetic, Number Facts and Sequences

100

148 ÷ 0.8

185

200

Write down a prime number between 60 and 70

61 or 67

300

The next term of this sequence 1, 3, 6, 10, 15, ...

21

400

Nth term of 5, 9, 13, 17, ...

4n + 1

500

Nth term for -5, -1, 3, 7, ...

4n - 9

Approximations & estimation, Standard form

100

Round 19.617 to the nearest whole number

20

200

Round 0.81452 to three significant figures

0.815

300

Write 46000 in standard form

4.6 x 10^4

400

Estimate 7.2 x 9.8, correct to one significant figure

70

500

A vet measures the mass of a goat at 37kg to the nearest kg. What is the least possible mass of the goat?

36.5 kg

Ratio & Proportion, Directed Numbers

100

Divide $40 in the ratio (3:5)

15 : 25

200

A wire 11 cm long has a mass of 187g. What is the mass of 7cm of this wire?

119g

300

-30 ÷ -1/2

60

400

(-2)^5

-32

500

If the scale of a map is 1:10 000, what will be the length on this map of a road which is 5km long?

50cm

Linear & Simultaneous Equations

100

Solve 2x - 5 = 11

8

200

Solve 7 = x/2

14

300

2x + y = -3 x - y = -3

x= -2, y= 1

400

3x + 2y = 19 x + 8y = 21

x= 5, y=2

500

x - y = -1 2x - y = 0

x=1, y=2

Factorising & Quadratic equations

100

Factorise 5a+5b

5(a+b)

200

ay+az+by+bz

(a+b)(y+z)

300

Factorise x^2 + 7x + 10

(x+5)(x+2)

400

Factorise x^2 - 9

(x+3)(x-3)

500

Give the Quadratic Formula

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