National 5 Prelim Revision Topics Worksheet - Elgin Academy

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Nat 5 Prelim Revision Topics
Number Skills
• Carry out calculations without a calculator including BODMAS, decimals and fractions.
2
3
e.g. 1 Calculate a) 60.5 +
of 80.1
b) 3757.4 – 31.6 x 300
Indices
• Rules of indices
����
����
a) 3����
× 4����
6
−3
c) 8����
× 3����
1
2
8
2
e.g. 2 Simplify:
����
2
−2
b)
• Evaluating indices
a) 16
b) 27
c) 3
1
2
−2
e.g. 3 Evaluate:
2
3
• Standard form
e.g.4 Light travels at a speed of 3 × 10
8
m/s. How long would it take light to travel a
distance of 150 kilometres? Give your answer in standard form.
Algebra
• Solve equations
e.g. 5
Find the value of x:
5(3x – 1) = 8 – 5x
• Solve inequalities
7m – 13 ≥ 15m + 8
e.g. 6
Solve for m:
• Simplify algebraic expressions involving fractions
e.g. 7 Simplify:
9 ( ����−3 )
8��������
����
−25
2
2
3( ( ����−3 )
12����
(����+5)(����−8)
2
7
a)
b)
c)
+
3
5
9
5
7
3
e.g 8 Write as a single algebraic fraction
����
����+8
(����+7)
2����
����−4
2����+1
a)
b)
c)
• Change the subject of a formula
e.g. 9 Make x the subject of each of these formulae:

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