Number & Calculation
Round 32 812 to 2 significant figures.
33 000
Simplify (y + 5)(y - 5).
y2 - 25
0.25 x 10-2
0.0025
Given the ratio is 3 : 12.
Rewrite the ratio in the form of n : 1.
0.25:1
Alex is y years old.
Aidan is 2 years older than Alex.
Amanda is 5 years younger than Aidan.
Write an equation for their total age, T.
T = 3y - 1
Write 0.000 000 724 in standard form.
7.24 x 10-7
Factorise 2x3 - 4x2 + 6x.
2x (x2 - 2x + 3)
350 x 10-3
0.35
Share $450 among Ali: Bob : Chan in the ratio 2: 3: 5.
How much does Bob receive?
$135
Solve
3x + y = 23
x - y = 1
x = 6
y = 5
Find the highest common factor of 180 and 600.
60
Expand and simplify (x - 3) (x - 4).
x2 - 7x + 12
The price of a coat is $70. The price increases by 20%. Work out the new price.
$84
Given the amount received by Ahmed is $ 155.
Calculate the total amount shared by Ahmed and Billy if the ratio shared was 31:50.
$405
To hire a cement mixer costs 20 dollars plus 15 dollars a day.
Work out the total cost, T, to hire the cement mixer for five days, d.
T = 20 + 15d
Find the lowest common multiple of 17 and 19.
323
Given that (x+2y)/5 = 2x.
Rearrange the formulae to make y the subject.
Give your answer in simplest form.
y = 4.5x
120 increased by 25%, then increased by 30%.
Find the final value.
195
Two people share some money in the ratio 3 : 5.
One person gets $75. Find two possible values for the amount of money the other person gets.
$ 45 or $125
Solve -12 < 4x < 16.
List the possible integers of x.
-3 < x < 4
x = -2, -1, 0, 1, 2, 3
a10 x a-16 = ?
a-6
Simplify (m+11)2.
m2+22m+121
Find the lower and upper bounds of a decimal number rounded of to the nearest 100, and the answer is 32500
32450, 32550
The length of a room is 4.5 m.
The length of the same room on a plan is 25 cm.
Work out the ratio of the length of the actual room to the length on the plan.
Write your answer as simply as possible.
18:1
An expression for the area of this rectangle is 4a2 + 16a.
The width of the rectangle is (a + 4).
Find an expression for the length of the rectangle.
4a