Prime Factorisation
Rules of Indices
Significant Figures and Estimation
Expanding Brackets
Algebraic Substitution
Solving Equations
Forming Equations
Ratio and Proportion
100
How many prime numbers are there between 0 and 40?
There are 11:
2, 3, 5, 7, 11, 13, 17, 19, 29, 31 and 37
100
p x p x p = 3p
True or False?
FALSE
p x p x p = p3
100
How many significant figures are there in...
a. 45930
b. 0.0089101
c. 4.005
a. 5
b. 5
c. 4
100
Expand:
4(x+2)
4x + 8
100
If x=3, calculate:
2x-4
2(3)-4=6-4
= 2
100
Solve
x+4=13
x=9
100
An equilateral triangle has side length m.
Write an expression for the perimeter of the triangle.
m+m+m = 3m
100
Simplify this ratio
24:44
6:11
200
Write 64 as a product of its prime factors. Write indices in their simplest form.
26
200
True or False?
sqrt(x^2)=x
True!
200
Round this number to 1 significant figure.
743.75
700
200
Expand
6x(2x+8y-z)
12x^2 + 18xy -6xz
200
If a=4, b=6 and c=9, calculate
3a + 7b -c
3(4)+7(6)-9=12+42-9=45
200
Solve
x/7=5
x=5xx7=35
200
A square has side length x.
Write an expression for the area of the square.
x^2
200
The ratio of X : Y is 6 : 11 .
If X = 36 . what is the value of Y?
36:66
300
Write 98 as a product of its prime factors. Write indices in their simplest form.
2 x 72
300
Write the following as a single power. Explain your method.
84 x 85
89
When the base is the same and we multiply, we add the indices
300
Round the following to 3 significant figures.
12.8991
12.9
300
Expand and Simplify
3(x-2)-5(x-7)
3x-6-5x+35=29-2x
300
if p=8 and q=3, calculate
3(p+2q)
3(8+6)=3(14)=42
300
Solve
5x-4=26
5x=30
x=30/5
x=6
300
Write an expression for the perimeter of this rectangle.
2(4x+1)+2(x)=8x+2+2x=10x+2
300
In a class of 42 students, the ratio of male:female is 2:4.
How many females are there?
28 females
400
Find the HCF and LCM of 24 and 180.
Calculator Allowed
HCF = 2 x 2 x 3 = 12
LCM = 23 x 32 x 5 = 360
400
Write the following as a single power. Explain your method.
11^19 / 11^3
1116
When bases are the same and we are dividing, we can subtract the powers.
400
Estimate the following:
(2.88(78.42 - 34.999))/0.46
(3(80-30))/0.5=(3(50))/0.5=150/0.5=300
400
Expand and Simplify
(x+6)(x-2)
x^2 +6x -2x -12=x^2 +4x-12
400
If m=4.5, n=6 and q=-1, calculate
m+n(q+3)
4.5+6(-1+3)=10.5(2)=21
400
Solve
12x+5=4x+53
8x=48
x=6
400
A plumber charges a call out fee of £40 plus £18 for each hour he works (h).
Write a formula for the total cost (T) if the plumber works h hours.T=40+18h
400
Jason and Damien save their money in a ratio of 2:5.
If Damien saves £45 a week, how much money do they save in total per week?
£63
500
Find the HCF and LCM of 420 and 132.
Calculator Allowed
420 = 2 x 2 x 3 x 5 x 7
132 = 2 x 2 x 3 x 11
Therefore,
HCF = 2 x 2 x 3 = 12
LCM = 5 x 7 x 2 x 2 x 3 x 11
500
Write the following as a single power.
2m4 x 3m8
6m^12
500
Estimate:
sqrt(130)
11
500
Expand and Simplify
(5x-7)(6x-9)
30x^2 -56x -45x+63=30x^2-87x+63
500
If u=7, v=-4 and x=4, calculate
(u+v)^x
(7-4)^4=(3)^4=81
500
Solve
4x^2 +1=3x^2 +17
x2=16
x=sqrt(16) = 4 and -4
500
Can you construct a formula using the lengths of this rectangle to find the value of x.
4x+1=2x+12
2x=11 x=5.5
500
Alannah and David share money in the ratio 3:5. David gets £16 more than Alannah.
How much money does Alannah get?
£24