# Mathematics # Tips And Techs For # ISSB .
Learn the following # table you can skip the
# values of cosec, sec and cot if you want, but
must memorize the values of sin, cos and tan as
they are VERY important
Q. What is the 30% of 30?
Solution:
Firstly you have to # cancel “0” from both sides,
and then multiply both sides with each other and
you'll get the answer
3 x 3 = 9
So, 9 is the answer
Q. What is 45% of 50?
Solution?
Now this one is a bit more complex than the
previous one, but it's easy
divide both sides by 10 and multiply them with
each other, OR divide one side by 100 and multiply
both sides with each other and you'll get the
answer
By first method,
4.5 x 5 = 22.5
By second method,
45 x 0.5 = 22.5
So, 22.5 is the answer
Q. Add ¾ and 5/4
Solution:
Since the denominators of both values are same,
i.e. 4 so we'll simply add the numerators, simplify
it if possible and we'll get the answer
3 + 5 = 8 = 1 Answer
4 4 2
Q. Add 4/5 and 11/3
Solution:
Now the denominators are different so we'll take
LCM, the LCM of 5 and 3 is 15
Since, 5 x 3 = 15 so we'll multiply 4 by 3 and
since, 3 x 5 = 15 so we'll multiply 11 by 5
12 + 55 = 67 Answer
15 15
1 km = 0.62 mile
1 mile= 1.609 km
1 cm = 0.01 m
1 m = 100 cm
1 km = 1000 m
1 kg = 2.204 pounds
1 pound = 0.45 kg
1 foot = 12 inch
1 inch = 2.54 cm
1 cm = 0.39 inch
1 USD = 101.94 PKR
1 foot = 30.48 cm
1 yard = 94.44 cm
1 yard = 3 feet
1 m = 3.28 feet
1 m = 1.09 yard
1 yard = 0.91 m
1 mile = 5280 feet
3 miles = 1 league
1 kg = 1.094 seer
1 seer = 0.931 kg
1 million = 10 lacs
Q. Calculate the Zakat in 2000rs
Solution:
To calculate Zakat of any value you have to find
2.5% of the given value
We'll do it with the method that we've learned
above
we'll divide 2000 by 100 and then we'll multiply it
with 2.5
2000 = 20 x 2.5 = 50
100
So, the answer is 50
Q. How many millions are there in 3 lacs?
Solution:
As we know that, 1million = 10 lacs
So 3 lacs = 0.3 million
Q. How many km are there in 4000 m?
Solution:
As we know that, 1000m = 1km
so there are 4km in 4000m
We can use same breaking up techniques to solve
ANY percentage problem.
31% of 222=? Breaking up 31% by 10%+10%+10%
+1%. Now, 10% of 222 just gives us 22.2.
Because we have 3 sets of 10%, we need to
multiply 22.2 by 3 to get 66.6 (10%+10%+10% is
the same as 3x10%). Lastly we need to find 1% of
222 which gives us 2.22. So, our final answer is
66.6 +2.22 =68.82
21% of 150=? 21%=10%+10%+1%. Now 10% of
150 would be 15. So, 20% would be double of 15
that is 30 and1% of 150 would be 1.5. So final
answer would be 30+1.5 which is 31.5
17% of 300=? Break 17% into 10% + 5% + 2%.
Now calculate; 10% of 300 is 30, 5% of 300 is half
of 10% (i.e. 30/2= 15) and 2% (2x1% of 300 =
2x3 = 6). So it all add up to 51.
Let’s try 97% of 195. 97% is probably broken
down easiest into 100%-3%. 1% of 195 =1.95.
Now multiply it by 3 to get 5.85. So our final
answer is 195-5.85=189.15
98% of 250=? 98% is 100%-2%. 100% of 250 is
250 and 1% would be 2.5 (decimal will shift 2
places towards the left). 2% would be 5. So our
final answer would be 250-5 i.e. 245.
167% of 195=? One way to break it up is 100%
+50%+10%+5%+2%. We know 100% of 195 is 195.
50% is just half of 195 which is 97.5. 10% of 195
is just 19.5, 5% is 9.75, 2% of 195 is 3.9. And
finally we just add them all up to get, 195 + 97.5
+ 19.5+9.75+3.9 = 325.65
There are many different ways to look at a
problem. Say, 42% of 366=? 2 different ways to
solve the same problem. We can do this by taking
(a) 4x10% + 2x1% or (b) we can also do it a
different way by taking 50% and subtracting 8%
i.e. 50% - 1%x8. Both are same, both give us the
same answer. a) 4x10% + 2x1%. 10% is 36.6 and
1% is 3.66. Now, 4x36.6=146.4 and 2x3.66=7.32;
adding them up is 153.72. b) 50% - 1%x8. 50% is
half of 366 which is 183 and 8% is 3.66x8 =
29.28; subtracting the two gives us
183-29.28=153.72, the same answer as before.
62% of 420 would be 50%+10%+2% which is 210
+ 42 + 8.4 = 260.4
22% of 324 would be 10%+10%+2% i.e. 32.4×2
+3.24×2 = 64.8 + 6.48 = 71.28
16% of 42 would be 10%+5%+1% i.e. 4.2 + 2.1 +
0.42 = 6.72.
Friday, August 10, 2018
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