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Grade 8 (Part 1)
H.W
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Mr / Ehab Zakaria
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Indices
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8] Simplify:
a) √25m4
b) √4X6m8
c) √9 y4X2
d) √36m4b2k6
e) 3√8m6y12
f) 3√27K3m6
g) 3√125m6b9
h) 4√16m8y12
9] Find X:
a) 2x = 32
b) 5x = 625
c) 3x =
d) 2x =
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Factors and multiples
1] Find all factors of:
a) 45 :
b) 40:
c) 28:
d) 50:
e) 53:
2] Find 5 multiples of each of the following:
a) 17:
b) 21:
3] List all prime numbers between 30 and 100
4] Write each of the following as a product of prime factors.
a) 72
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b) 150
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5] If P2 x q3 = 72 then P = ……………… and q = ……………
6] Find the H.C.F and L.C.M of each of the following:
a) 30 and 45
H.C.F =
L.C.M =
b) 16 and 24
H.C.F =
L.C.M =
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c) 12 , 8 and 16
H.C.F =
L.C.M =
7] Using these numbers only find:
√16
a)
b)
c)
d)
e)
f)
g)
h)
i)
,
√100 ,
√49
,
Even number
Odd number
Prime number
Semi prime number
Square number
Cube number
Triangular number
Rational number
Irrational number
8] Work out:
a) √2.25
b) 3√0.216
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c) 2.52
√11
,
√64
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Directed numbers
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Expressions
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8] Write an expression for the area and the perimeter in the simplest form for
each of the following shapes.
A=
P=
A=
P=
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Place value
1] Write the value of 5 in each of the following:
a) 457.89
b) 6421.752
d) 5210.1
e) 90.50
g) 54209
h) 5087609
c) 5.798
f) 21.7562
i) 56499999
2] Ring the hundred digits:
a) 6666666
b) 7809642
c) 2222
3] Complete:
a) The value of 8 in 68754 is ……………….
b) The value of 5 in 338054 is ……………….
c) The hundredth digit in 453.987 is …………………..
d) The tenth digit in 453.987 is …………………..
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d) 78954.21
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Rounding & Estimate
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Standard form
1] Write in standard form:
a) 210000000
b) 52200000
c) 200000000
d) 35800000
e) 930
f) 85000000
g) 93212250
h) 0.00000654
i) 0.0098
j) 0.0000046
k) 0.000991
l) 0.00000013
m) 0.007
n) 0.500000000
o) 0.0000025
p) 5300 × 104
q) 387 × 10-6
r) 0.007 × 107
s)0.932 × 10-5
t) 400 × 106
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u)0.035 × 10-3
2] Write in ordinary form:
a) 7.57 × 109
b) 3.67 × 106
c) 7.7 × 103
d) 5.47 × 104
e) 4.4 × 102
f) 3 × 10-7
g) 9.06 × 10-4
h) 1.47 × 10-3
i) 1.5 × 10-2
j) 2.2 × 10-3
k) 3.01 × 10-5
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Solving equations
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Factorisation
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Fractions
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Write in order, greatest first.
e)
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Simultaneous equations
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Expressions in words
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Angle properties
Find the missing angles:
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Types of triangles
1] Find the size of each missing angle then state the type of each triangle
according to its sides and angles.
2] Find the size of each missing angle then state the type of each triangle
according to its sides and angles.
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