1. What percentage of 1 hour is 6 minutes?
solution
1 hour = 60 minutes
To get %'ge we take the fraction of 6min in 1 hour and multiply by 100.
= 6 x 100
60
= 6 1 x 100
= 1 x 100
10
= 10%
Hence percentage of 1 hour is 6 minutes is 10 %
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NECTA FORM II - 2013 QN. 7
What percentage of 1 hour is 15 minutes?
2. What is x if x + 5y = 40 and y=6?
solution
x + 5y = 40
x + 5(6) = 40; [since y=6.]
x + 30 = 40
x = 40 - 30
x = 10
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NECTA FORM II - 2013 QN. 9
What is x if x + 2y = 16 and y=6?
3. If x2 - y2 = 56 and x + y = 7, find the value of x+y.
solution
x2 - y2 = 56 from difference of two squares a2 - b2 = (a - b)(a + b)
x2 - y2 = 56
(x - y)(x + y) = 56
(x - y) x 7 = 56
7(x - y) = 56
7(x - y) = 56
7 7
x - y = 8 answer
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NECTA FORM II - 2013 QN. 10
If x2 - y2 = 10 and x + y = 2, find the value of x-y.
4. Simplify the expression
m2 + n2/ (m + n)
solution
from difference of two squares p2 - q2 = (p - q)(p + q)
= m2 + n2/ (m + n)
= (m + n)(m - n)
m + n
= (m + n)(m - n)
= m - n answer
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NECTA FORM II - 2012 QN. 12
Simplify the expression
a2 + b2/ (a + b)
5. If a2 = 14; find the value of a4.
solution
a4 = (a2)2.
a4 = (14)2. [ since a2 = 14]
a4 = 14 x 14
a4 = 196 answer
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NECTA FORM II - 2012 QN. 8
If a2 = 12; find the value of a4.
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