easy ways to solve the math problem, Cheat Sheet of Mathematics

Easy ways to solve the math problems

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2014/2015

Available from 04/09/2025

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EASY WAYS TO SOLVE MATHEMATIC
PROBLEM
QUICK COUNT
1. If P =
17
19
+
21
24
+
33
36
, then Q =
17
19
+
54
36
+
33
24
. So…
Answer
First, we sort denominators of numbers to make two
equations same as another
P =
17
19
+
21
24
+
33
36
Q =
17
19
+
33
24
+
54
36
After that, we know that numerators of Q is bigger than P
So, we can decide that P<Q
2.
1
8
+
(
1
8
:1
8
)
+
=
Answer
Take a look at
1
8
+
(
1
8
:1
8
)
+
=
Because two fractional numbers inside the bracket are the same,
so the result is always 1.
Two fractional numbers outside the bracket are also the same, we
can change form equation
1
8
+
1
8
2 x
1
8
So The Final Result is
1 +
= 1
2
8
3. `(12x30)2
(118+241)2 =
Answer
(12x30)2
(118+241)2 =(360)2
(359)
Use this principle
a2
b2 = (a+b)(a-b)
(360)2
(359)2 = (360+359)(360
359)
= (719)(1)
pf2

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EASY WAYS TO SOLVE MATHEMATIC

PROBLEM

QUICK COUNT

1. If P =

, then Q =

. So…

Answer

First, we sort denominators of numbers to make two

equations same as another

P =

Q =

After that, we know that numerators of Q is bigger than P

So, we can decide that P<Q

8 )^

Answer

Take a look at

8 )^

Because two fractional numbers inside the bracket are the same,

so the result is always 1.

Two fractional numbers outside the bracket are also the same, we

can change form equation

→ 2 x

So The Final Result is

3. `(12x30)^2 −^ (118+241)^2 =

Answer

(12x30)

2

Use this principle

a

b

2

= (a+b)(a-b)

2

= 719

  1. 0,875 : 6

= Answer

Remember :

, Also remember another fraction in

special number that easy to be converted to decimal form. For

example :

0,875 : 6

=

:

=

x

=

x

= 1 x

=

  1. ( 63 x 5 + 87 x 5 ) : 2 5 =

Remember : ( a x b + a x c ) = ( a + b ) x c

( 63 x 5 + 87 x 5 ) : 25 = ( 63 + 87 ) x 5 : 25 = 150 x 5 : 25 =

Remember :

Do (x) or (:) which one appear first

In this case, Do (x)

750 : 25 = 30