B3 Revision Worksheet
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Number – Factors and Primes
A factor of a number is a whole number which divides into it without leaving a
remainder.
Write down all the factors of 27
Write down all the factors of 36
What is the highest common factor of 27 and 36?
A prime number has two, and only two, factors – itself and 1.
Circle all the prime numbers in this list:
4
7
11
14
2
21
23
Explain how you know that 1 is not a prime number………………………………………………….
……………………………………………………………………………………………………………………………………………..
Explain how you know that 20 is not a prime number………………………………………………
……………………………………………………………………………………………………………………………………………..
Explain how you know that 13 is a prime number………………………………………………………
……………………………………………………………………………………………………………………………………………..
You can write a number as a product of its prime factors, e.g. 54 = 2x3x3x3
Write these numbers as a product of its prime factors:
42
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50
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Number – Fractions
You can make equivalent fractions by multiplying or dividing the numerator
and the denominator by the same number.
e.g.
3
4

The numerator is
the top number of
the fraction!!!
÷5
X 10
AND
30
40
5
20

1
4
÷5
X 10
The denominator
is the bottom
number of the
fraction!!!
Complete these equivalent fractions by replacing the “?”
3
4

?
20
3
6

?
2
4
7

?
21
2
10
 1?

1
3
9
?
Adding and subtracting fractions
You can only add or subtract fractions with common denominators!!!
e.g.
You only add or subtract the
7
10
 102  109
numerators!
Complete these sums:
14
(a) 15
1
(d) 10
 152  15
(b) 12
 52  10  10 
(e) 4
1
 128 
3
 23  12  12 
7
(c) 9
If the fractions have different denominators, you need to find
equivalent fractions with common denominators first!
Fractions, decimals and percentages
 92  93 
You should
memorize these
common
equivalences!!!
Fraction Decimal Percentage
1
1
100%
1
2
1
4
3
4
1
5
0.5
50%
0.25
25%
0.75
0.2
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Fraction Decimal Percentage
2
5
3
5
0.4
40%
0.6
60%
75%
4
5
0.8
80%
20%
1
10
0.1
10%
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Shape and Space – Constructions
Using a ruler
Measure this straight line
Using a protractor
Measure these angles
Draw a line that is exactly 5.4cm long
Accurately constructing triangles
You can draw a triangle when you know one angle and two sides (SAS) or two
angles and one side (ASA). Using a pencil, ruler and protractor, construct
these triangles:
4cm
40o
6.5cm
35o
105o
6cm
You can also draw a triangle when you know all three sides (SSS). Using a
pencil, ruler and compasses, construct this triangle:
7cm
4.5cm
5cm
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Shape and Space – Plans and Elevations
Draw the plan, front elevation and side elevation for these 3D solids:
(Note: each solid is made with up to 6 multilink cubes)
FRONT
Plan (top)
Front elevation
Side elevation (right)
Plan (top)
Front elevation
Side elevation (right)
FRONT
Shape and Space – Nets and Surface Area
Below are two nets of a cube.
(a) On each net, which edge joins with the highlighted one?
(b) Measure the nets…what is the surface area of the cube?
(c) Name and sketch the nets of these solids:
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Algebra – Solving Equations
Remember: an equation has an =
sign, but an expression does not!
Equation or expression???
State if each of the following is an equation or an expression:
(a) 8h – 6
(b) 8 – 14d = 4
(c) 70 = 5 (a + 2)
(d) 6m + n
Solving equations
When you are solving equations, think of a pair of scales; with every step of
your solution you need to keep the scales balanced.
For example: Solve the equation
x + 3 = 2x + 1
X
X
X
Subtract x from both sides
3 = x+1
X
Subtract 1 from both sides
2 = x
x = 2
OR
X
Solve the following equations:
4x + 7 = 23
2(x + 4) = 6
3x – 4 = 26
5x + 4 = 7x
5(2x + 1) = 15x – 5
6x – 3 = 8x +1
True or False?
Circle those that are true if m = 4
4m = 16
2m + 1 = 10
3 – m = -1
4m = 44
m+1=5
m–3=1
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Handling Data - Probability
Can you talk about the probability of things happening and put things
on a probability scale (from 0 to 1)?
  
IMPOSSIBLE
CERTAIN
0
1
You can’t have a
probability of less than 0!
You can’t have a
probability of more than 1!
On the probability line, mark the chance of each of these events occurring.
(a)
(b)
(c)
Getting HEADS on a coin toss
You will win the lottery
You will be given a Maths test very soon
Do you know what “equally likely” means?





Circle the things that have an equally likely chance of happening.
It will rain
tomorrow
Getting heads or
tails on a coin toss
Picking a sweet out a
bag at random
Rolling a number
on a dice
Scoring a goal in a
netball match
Can you find the numerical probabilities of outcomes?
Alice’s spinner
Write down:
P(1) =
1 2
3
Ben’s spinner
Write down:
P(1) =
P(odd) =
P(even) =
P(prime number)=
P(square number) =

1
4
2
3
Probability =
No. of ways an
event can
happen ÷ Total
no. of outcomes
Can you compare “experimental” probability with “theoretical”
probability?



Alice’s spinner: Alice spins her spinner
Ben’s spinner: Ben spins his spinner 40
30 times and writes down her results in a times and writes down his results in a
table.
table.
Do
you
think
the
Score Frequency
Score Frequency Do you think the
spinner is fair?
spinner is fair?
1
9
1
3
YES/NO
YES/NO
2
10
2
10
Explain your answer. 3
Explain your answer.
3
11
10
4
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