Unit 1 Revision sheet
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Unit 1 Revision sheet
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Unit 1 Revision sheet
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Unit 1 Revision sheet
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Unit 1 Revision sheet
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Unit 1 Revision sheet
Squares, Cubes and
TRy
Roots
Evaluate 4
2
Evaluate 1
3
A B
Evaluate (−6)
2
Evaluate √ 16
C D
Evaluate (−4)
3
Evaluate 11
2
E F
Evaluate 5
3
Evaluate √ 196
G H
Evaluate √3 125 Evaluate (−7)
3
I J
Evaluate 8
2
Evaluate √3 64
K L
Evaluate (−10)
2
Evaluate (−3)
3
M N
Evaluate 13
2
Evaluate √ 144
O P
Evaluate 8
3
Evaluate √3 729
Q R
Evaluate √ 49 Evaluate (−1)
2
S T
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Unit 1 Revision sheet
Powers and Roots Revision
(a) (b) (c) (d)
Write down the Work out 35− √ 441 Write down the Simplify y 5 × y 4
cube root of 27 value of 50
(e) (f) (g) (h)
5
Simplify ( x−3 ) Write as a power Simplify ( 3 a 2 b 4 )
3 5
a ×a
2
of 2 Simplify −3
a
12
2
3
2
(i) (j) (k) (l)
Write 2 √ 2 as a
()
3 −4 10 x
4 Evaluate 8 4 ×4 −1
single power of 2 Evaluate 2 3
6
=4
9 4
Find the value of x .
(m) (n) (o) (p)
2
10
n 1 a
4 =16× 8
2a Given that
=2 Write as a
Find the value of a .
1
64 √4
3
9 =( 27 ) × 3
x a 2 b
Find the value of single power of 2
find an expression
n. for x in terms of a
and b .
Equations
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Unit 1 Revision sheet
Solve:
(a) x +3=10 (b) 5+ x=12
(c) x +7=9 (d) x +3.5=7.5
(e) 1.1+ x=3 (f) 27=x+ 12
(g) x +7=−2 (h) 5.5+ x=12.5
Solve:
(a) x−2=7 (b) x−4=1
(c) 8=x−3 (d) x−1.2=7
(e) 6.5=x−1 (f) x−42=73
(g) x−3=−7 (h) 8.5=x−1.5
Solve:
(a) 2 x=8 (b) 6 x=18
(c) 15=3 x (d) 4 x=−20
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Unit 1 Revision sheet
(e) 2 x=4.8 (f) −45=9 x
(g) 5 x=3 (h) 10 x=7
Solve:
x x
(a) =12 (b) =2
3 7
x x
(c) =−1 (d) 13=
5 2
x x
(e) =−5 (f) =1.5
8 6
x x
(g) =0.6 (h) −2=
10 6
Solving Equations with Powers & Roots
Solve
2 2
(a) x =9 (b) x =36
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Unit 1 Revision sheet
2 3
(c) x =64 (d) x =64
3 3
(e) 27=x (f) x =−8
Solve
(a) √ x=4 (b) √ x=−4
(c) 9=√ x (d) √3 x=3
(e) √3 x=−2
Solve
2
(a) 10+ x =26
2
(b) x −24=120
3
(c) x −3=24
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Unit 1 Revision sheet
3
(d) 18+ x =10
2
(e) 2 x −5=13
2
(f) 50+7 x =78
3
(g) 1−2 x =129
Solve
(a) 8+ √ x=11
(b) √3 x−5=2
(c) 4 √ x +25=5
47−3 √ x=17
3
(d)
Find the highest common factors of each pair of numbers below.
(a) 36, 42
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Unit 1 Revision sheet
(b) 30, 42
(c) 45, 105
(d) 42, 50
(e) 50, 80
(f) 70, 315
(g) 216, 240
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Unit 1 Revision sheet
(h) 156, 234
(i) 735, 1617
Find the LCM of
(a) 15 and 35
(b) 12 and 20
(c) 28 and 49
(d) 19 and 15
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Unit 1 Revision sheet
(e) 20 and 42
(f) 81 and 192
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