Arithmetic, Number Facts and Sequences
Approximations & estimation, Standard form
Ratio & Proportion, Directed Numbers
Linear & Simultaneous Equations
Factorising & Quadratic equations
100
148 ÷ 0.8
185
100
Round 19.617 to the nearest whole number
20
100
Divide $40 in the ratio (3:5)
15 : 25
100
Solve 2x - 5 = 11
8
100
Factorise 5a+5b
5(a+b)
200
Write down a prime number between 60 and 70
61 or 67
200
Round 0.81452 to three significant figures
0.815
200
A wire 11 cm long has a mass of 187g. What is the mass of 7cm of this wire?
119g
200
Solve 7 = x/2
14
200
ay+az+by+bz
(a+b)(y+z)
300
The next term of this sequence
1, 3, 6, 10, 15, ...
21
300
Write 46000 in standard form
4.6 x 10^4
300
-30 ÷ -1/2
60
300
2x + y = -3
x - y = -3
x= -2, y= 1
300
Factorise
x^2 + 7x + 10
(x+5)(x+2)
400
Nth term of
5, 9, 13, 17, ...
4n + 1
400
Estimate 7.2 x 9.8, correct to one significant figure
70
400
(-2)^5
-32
400
3x + 2y = 19
x + 8y = 21
x= 5, y=2
400
Factorise
x^2 - 9
(x+3)(x-3)
500
Nth term for
-5, -1, 3, 7, ...
4n - 9
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
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
500
x - y = -1
2x - y = 0
x=1, y=2
500
Solve for x in this right-angled triangle. Hint! use Pythagoras’ theorem
(x+2)^2 + x^2 = 100
x^2 + 4x + 4 + x^2 = 100
2x^2 + 4x + 4 -100 = 0
x^2 + 2x -48 = 0
(x+8)(x-6) = 0
x=-8 or x=6
Reject x=-8 since can not have a negative side length.
So the solution is x=6