Numerical Reasoning

For Addition and Subtraction, it is very simple and easy. Just line up the given numbers though their decimal point. If it has no decimal point, put one or convert one. Put zeros to complement the numbers if needed.
Decimals:
I remember there are many questions about decimals when I took the exam. Lots involve with multiplication and division. Same with fractions, I think I enjoyed that part so much because fractions are my thing.
  • Examples: 
5.98 + 6 + ¾ = ______
1.25 + 1.5 + 7.875 ______
25 – 8.35 – 1.3 + _______
For Multiplication, don’t take it too hard because it is very simply too. Just multiply the numbers and count the decimal places to the right of the given numbers then move in that decimal (count) from the right answer to the left.
  • Example: 3.05 x 1.4 =?
multiplication decimals
For Division, you have to divide the classic way by making the divisor a whole number. You need to move the decimal place to the right to make it a whole number then do the same way with the dividend. Add zeros to the dividend if necessary. See example below.
  • Example:  0.35 ÷ 1.4 (0.35 is the dividend and 1.4 is the divisor here)
division decimals
Fractions:
Some of the questions in Math and Quantitative Numerical Reasoning tests involve with fractions because they are also related to decimals, percent, mixed numbers and algebraic expressions. Again, if you master solving fractions, it will be a great edge for you.
Addition and Subtraction of Fractions
In this process, the easiest way is to always simplify the fractions by finding the LCD aka least common denominator, then apply the operation. If the result is improper fraction (numerator is bigger than denominator), simplify it too by giving the mixed number. Watch this helpful video.
http://www.youtube.com/watch?v=GFGlgSfQ-Gk
How to Multiply and Divide Fractions?
To multiply fractions is easier. Just multiply both the numerator then multiply both the denominator. Simplify the product is you must.
  • Example: ½ x ¾ = 3/8
To divide fractions, inverse the second fraction then we follow the rules in multiplication. You can also cross-multiply the given fractions.
  • Example: How many 1/3’s are there in ½?
Converting Fractions to Decimals and vice versa
In converting fractions to decimals, just divide the numbers and round them off.
  • Examples:
1/3 = .333
5/8 = .625
7/8 = .875
Another way is to find a number to multiply by the denominator to make it 10, 100 or 1000…
  • Example:
convert fraction to decimals
source: Mathisfun.com
Positive and Negative Numbers:
Addition and Subtraction
  • Positive + Positive = Positive
  • Negative + Negative = Negative
  • Positive + Negative = Subtract the two and use the sign of the bigger number
  • Positive – Negative = Change the sign of the Subtrahend and follow the rules of Addition
  • Negative – Negative = Change the sign of the Subtrahend and follow the rules of Addition
Multiplication and Division:
  • Multiplying and dividing numbers with similar sign equals Positive ( + x + = +) and (– x – = + )
  • Multiplying and dividing numbers with different signs equals Negative ( + x – = – ) and ( – x + = – )
Number Series and Sequence:
There are also logical sequence and number series in this Math exam. Of course you have to find the next number from the pattern. You will know the right answers by applying the same method you used in a sequence to get the next number or the next.
Examples:
3, 5, 7, 9, 11, 13
2, 4, 8, 16, 32, 64, 128
Problem Solving:
We cannot miss to include this scope here because every Math exam has problem solving. The key to find the correct answers is to analyse the given case well and understand what is being asked. Apply your magical Math logic.

Numerical Reasoning Test Samples:

Instruction: Solve the following Math quizzes.
1. 2187, 729, 243, 81, 27, 9, ____?
  1. 6
  2. 3
  3. 4
  4. 2
2. 1, 4, 9, 16, 25, 36, 49, 64, ___ ?
  1. 72
  2. 75
  3. 81
  4. 90
3. 13 -21 34 -55 89 ___?
  1. -95
  2. 104
  3. -123
  4. -144
4. AZ CX EV GT ____?
  1. IR KP
  2. IR KQ
  3. IS KQ
  4. IS KP
5. A5 D25 G125 J625 M3125 ____?
  1. P15525
  2. P15625
  3. O15525
  4. O15625
6. What is -25 + 16?
  1. 9
  2. -9
  3. -41
  4. 41
7. What is 107 – (-17) ?
  1. -90
  2. 90
  3. 124
  4. -124
8. (-9) (-22) = ____?
  1. 198
  2. -198
  3. 31
  4. -31
9. (21) (-4) + (8) (-2) = ____?
  1. -100
  2. 100
  3. -23
  4. 23
10. (-560) ÷ 7 = ___?
  1. -80
  2. 80
  3. -553
  4. 553
11. 6/8 + 2 ½ + 4/12 is also the same as?
  1. ½ + 2.5 + ¼
  2. ½ + 5/2 + 1/6
  3. ¾ + 2.5 + 1/6
  4. ¾ + 5/2 + 1/3
12. What is the Least Common Denominator of 1/8, ¾, and 1/16?
  1. 4
  2. 8
  3. 16
  4. 2
13. What is the Greatest Common Factor of 36 and 54?
  1. 6
  2. 12
  3. 18
  4. 9
14. What is the sum of ½ + 8/4 + 6/12 ?
  1. 15/12
  2.  3/12
  3. 3
  4. 3 1/12
15. 3/9 x 2/3 = ____
  1. 6/27
  2. 2/9
  3. 9/18
  4. 1/9
16. ¾ ÷ 1/8 = ____
  1. 8
  2. 4
  3. 12
  4. 6
17. What is the decimal form of ¾ %?
  1. .0075
  2. .075
  3. .75
  4. .00075
18. Convert 3.4% as a fraction.
  1. 34/100
  2. .34/100
  3. 3.4/1000
  4. 3.4/100
19. What is ¼ in decimal?
  1. .025
  2. .25
  3. 2.5
  4. .0025
20. What is the ratio of ½ to 2/5?
  1. 3:4
  2. 5:4
  3. 1:3
  4. 2:5
21. 2.12 is multiplied by 10 to the sixth power is?
  1. 212.000
  2. 2,120,000
  3. 212,000
  4. 21,200
22. 25 is multiplied by 10 to the fifth power is?
  1. 2,500,000
  2. 250,000
  3. 25,000
  4. .000025
23. Find the value of x in the equation: 5x + 25 =10
  1. 5
  2. 3
  3. -3
  4. -5
24. If x=8, find the value of y in the equation: 4x – 2y = 28.
  1. -4
  2. -2
  3. 4
  4. 2
25. Find the value of x if y= 8 in the equation: 2x + 4y = 50
  1. 9
  2. 8
  3. 10
  4. 4
Problem Solving / Word Problems:
26. Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will be three times as old as Cara. How old is Sam?
  1. 2 years old
  2. 3 years old
  3. 4 years old
  4. 5 years old
27. James’s dad is 5 times older than James and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now?
  1. 6 years old
  2. 7 years old
  3. 8 years old
  4. 9 years old
28. Cathy scored 85, 87, 90, 95, and 100 in her Math exams. What will be her average grade in Math from this period?
  1. 91.40
  2. 91.50
  3. 92
  4. 93.50
29. Letty left home and drove at the rate of 50 miles per hour for 2 hours. She stopped for lunch then drove for another 4 hours at 65 mph to reach Los Angeles. How many miles did Letty drive to reach LA?
  1. 115 miles
  2. 360 miles
  3. 310 miles
  4. 100 miles
30. Michelle went to SM for the 3-day sale. She bought a new pair of shoes and paid only P2,450 discounted for 20% off. What was the original price of the shoes?
  1. P3,062.50
  2. P3,260.50
  3. P3,620.50
  4. P3,026.50

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