Everyday Mathematics: Patterns in Mathematics | Maths Olympiad Class 6 PDF Download

Q1: What is the next number in the sequence: 2, 6, 12, 20, 30, …?
(a) 36
(b) 40
(c) 42
(d) 44

Ans: (C)
The differences are 4, 6, 8, 10, … (increasing by 2).
Next difference = 12.
So, $30+12=4230\; +\; 12\; =\; 42$30+12=42.
Thus, the answer is 42.

Q2: Which symbol will appear at the 20th position in the repeating pattern: ▲, ◼, ●, ▲, ◼, ●, … ?
(a) ▲
(b) ◼
(c) ●
(d) ◼ and ●

Ans: (B)
The pattern repeats every 3 symbols.
20 ÷ 3 = 6 remainder 2.
So, the 20th term will be the 2nd symbol in the cycle = ◼.
Thus, the answer is ◼.

Q3: Find the missing number: 5, 10, 20, 40, __, 160.
(a) 60
(b) 70
(c) 80
(d) 100

Ans: (C)
Each term is multiplied by 2.
So, $40\times 2=80$40×2=80.
Thus, the missing number is 80.

Q4: The missing number in the sequence 1, 4, 9, 16, __, 36 is:
(a) 20
(b) 24
(c) 25
(d) 30

Ans: (C)
These are square numbers: $12,22,32,42,52,621^2,\; 2^2,\; 3^2,\; 4^2,\; 5^2,\; 6^2$12,22,32,42,52,62.
So, missing = $52=255^2\; =\; 25$52=25.
Thus, the answer is 25.

Q5: Which number will replace the question mark in the pattern?
2, 6, 18, 54, ?
(a) 81
(b) 108
(c) 162
(d) 216

Ans: (C)
Rule: Multiply by 3 each time.
So, $54\times 3=16254\; \times \; 3\; =\; 162$54×3=162.
Thus, the missing number is 162.

Q6: A calendar repeats every 7 days. If today is Monday, what day will it be 100 days later?
(a) Wednesday
(b) Thursday
(c) Friday
(d) Saturday

Ans: (A)
100 ÷ 7 = 14 remainder 2.
So, 100 days later is 2 days after Monday = Wednesday.
Thus, the answer is Wednesday.