Worksheet on Mathematical Reasoning Questions

Mathematical Reasoning Questions for Grades 7-8

Solved Questions on Mathematical Reasoning

1. What will come in the next pattern:

4, -8, 16, -32, 64, (...)

a) 128
b) -128
c) 144
d) -144

Answer: b) -128

Explanation: Each number in the series is got by multiplying the preceding number by -2. Missing term = 64 x (-2) = -128

2. Complete the given series:

abc ____ ab ____ aab ____ a __

a) bcc
b) abc
c) caa
d) acc

Answer: d) acc

Explanation: The pattern in the abca / abca / abca
Thus, the missing alphabets are a,c,c.

3. If in a certain code language, SISTER is coded as 535301, UNCLE as 84670 and BOY as 129, how will SON be coded in that code language?

a) 245
b) 524
c) 354
d) 687

Answer: b) 524

Explanation: Clearly, in the given code, the alphabet is coded as:

mathematical reasoning

So, S is coded as 5, O is coded as 2 and N is coded as 4. Hence correct code is 524.

4. In a particular class, Sam's rank in the annual examination was 13th from the top and 26th from the bottom among those who passed. Given that six students failed the exam, what is the total number of students in the class?

a) 44
b) 46
c) 48
d) 50

Answer: a) 44

Explanation: Number of students passed = (12 + 1 + 25) = 38
Number of students failed = 6
Total number of students = 38 + 6 = 44

5. If '+' means 'minus', '-` means 'multiplied by', ‘÷' means 'plus' and 'x' means 'divided by', then

10 x 5 ÷ 3 – 2 + 3 = ?

a) 2
b) 3
c) 4
d) 5

Answer: d) 5

Explanation: Using the proper signs, we get
10 ÷ 5 + 3 x 2 – 3
= 2 + 3 x 2 - 3
= 2 + 6 – 3
= 5

Questions to Practice on Mathematical Reasoning

1. If '+' means 'x', '-' means '+' and 'x' means '÷', find the value of

5 + 4 - 18 x 3

a) -36
b) 6
c) 26
d) 14

Answer: c) 26

2. What will come in (?)?

mathematical reasoning

a) 100
b) 108
c) 196
d) 208

Answer: a) 100

3. How many 3s are there in the following number sequence which are immediately preceded by 6 but not immediately followed by 7?

mathematical reasoning

a) 2
b) 3
c) 4
d) 5

Answer: b) 3

4. The Managing Director entered the conference room ten minutes before 12:30 hours for interviewing. He came 20 minutes before the chairman who was 30 minutes late than the scheduled interview time. At what time, the interview was scheduled?

a) 12:10
b) 12:20
c) 12:30
d) 12:40

Answer: a) 12:10

6. If PLAY is coded as 8123 and RHYME is coded as 49367, then how is MALE coded?

a) 6217
b) 6248
c) 6315
d) 6345

Answer: a) 6217

7. Find the odd one out in the given options.

a) 196
b) 210
c) 225
d) 256

Answer: b) 210

8. Arrange the following words as per order in the English dictionary.

Live, Litter, Little, Literacy, Living

a) 3, 4, 2, 1, 5
b) 3, 2, 4, 5, 1
c) 4, 3, 5, 2, 1
d) 4, 2, 3, 1, 5

Answer: d) 4, 2, 3, 1, 5

9. Fill in the blank:

2, 6, 11, 17, (...), 32

a) 22
b) 23
c) 24
d) 25

Answer: c) 24

10. What will come next in the pattern?

Z150, ?, V190, T210, R230

a) X170
b) Y171
c) Z170
d) X17

Answer: a) X170

>> Join CREST Olympiads WhatsApp Channel for latest updates.

Mental Maths Related Topics

70%