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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-23-PUZ-01
Puzzles & Logical Sequences - Assignment
Chapter: Logical Reasoning
Topic: Mathematical Puzzles and Logical Sequences
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A logical sequence follows a:
  • A.random order
  • B.fixed rule
  • C.single number
  • D.colour
2.
The next term of $2, 4, 6, 8$ is:
  • A.$9$
  • B.$10$
  • C.$12$
  • D.$16$
3.
The next term of $3, 9, 27$ is:
  • A.$54$
  • B.$81$
  • C.$36$
  • D.$72$
4.
The next term of $1, 4, 9, 16$ is:
  • A.$20$
  • B.$25$
  • C.$24$
  • D.$36$
5.
To solve a sequence, find the ___ between terms.
  • A.colour
  • B.rule
  • C.name
  • D.shape
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the next term: $5, 10, 15, \ldots$
7.
Find the next term: $2, 4, 8, 16, \ldots$
8.
Find the missing term: $1, 3, 5, \,\rule{1em}{0.4pt}\,, 9$.
9.
Find the next term: $100, 81, 64, 49, \ldots$
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the next two terms: $1, 1, 2, 3, 5, \ldots$
11.
Find the next term: $1, 8, 27, 64, \ldots$
12.
Find the odd one out: $2, 4, 6, 9, 8$.
13.
Find the next term: $2, 6, 12, 20, \ldots$
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find the next two terms and state the rule: $3, 6, 12, 24, \ldots$
15.
For $4, 9, 16, 25, \ldots$, find the next term, the rule and the 8th term.

Answer Key

Section A — Multiple Choice Questions
  1. (B) fixed rule
  2. (B) $10$
  3. (B) $81$
  4. (B) $25$
  5. (B) rule
Section B — Short Answer (2 marks)
  1. $20$.
  2. $32$.
  3. $7$.
  4. $36$.
Section C — Short Answer (3 marks)
  1. $8,\ 13$.
  2. $125$.
  3. $9$ (it is odd).
  4. $30$.
Section D — Long Answer (5 marks)
  1. $48,\ 96$; rule: multiply by $2$.
  2. Next $36$; rule: squares $2^2,3^2,4^2,\ldots$; 8th term $9^2=81$.
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