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CBSE · Class 6 · Mathematics

Patterns in Mathematics

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
What comes next? 9, 17, 25, 33, …
  1. 40
  2. 49
  3. 50
  4. 41
2.
What comes next? 9, 27, 81, 243, …
  1. 2187
  2. 732
  3. 729
  4. 405
3.
1, 3, 5, 7, 9, … are the:
  1. square numbers
  2. triangular numbers
  3. even numbers
  4. odd numbers
4.
Which of these is a triangular number?
  1. 93
  2. 85
  3. 91
  4. 96
5.
Which of these is a square number?
  1. 229
  2. 228
  3. 234
  4. 225
6.
1 + 3 + 5 + … + 15 (all the odd numbers up to 15) equals:
  1. 64
  2. 128
  3. 72
  4. 63
7.
1 + 2 + 3 + … + 10 equals:
  1. 55
  2. 100
  3. 45
  4. 50
8.
Each number is the sum of the two before it. What comes next? 1, 15, 16, 31, 47, …
  1. 78
  2. 94
  3. 63
  4. 79
Section B — Short answer8 × 2 = 16 marks
9.
Find the rule and write the next three numbers: 73, 63, 53, 43, …
10.
Find 1 + 2 + 3 + … + 63.
11.
Find 1 + 2 + … + 36 + 37 + 36 + … + 2 + 1.
12.
Find the next two numbers: 17, 26, 37, 50, …
13.
Start with 4 and multiply by 3 again and again. What number do you reach after 5 multiplications?
14.
Matchsticks make a row of hexagons, each sharing a side with the next. How many matchsticks are needed for 36 hexagons?
15.
Find the 24th triangular number.
16.
Find 2 + 4 + 6 + … + 78 (all the even numbers up to 78).
Section C — Word problems4 × 4 = 16 marks
17.
In a hall, the first row has 10 chairs and each row has 6 more chairs than the row in front. How many chairs are in row 15?
18.
Meera saves Rs 1 on day 1, Rs 2 on day 2, Rs 3 on day 3, and so on. How much has Meera saved after 26 days?
19.
A row of squares sharing sides uses 4 matchsticks for one square and 3 more for each new one. How many squares can be made with 166 matchsticks?
20.
At a party, 25 friends each shake hands once with every other friend. How many handshakes are there?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 6 · Mathematics

Answer key

Patterns in Mathematics · AW-6M-PAT-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) 41each number is 8 more than the one before: 33 + 8 = 41
2(c) 729each number is 3 times the one before: 243 × 3 = 729
3(d) odd numberseach is 2 more than the one before
4(c) 9191 = 1 + 2 + … + 13
5(d) 225225 = 15 × 15
6(a) 648 odd numbers add up to 8 × 8
7(a) 5510 × 11 ÷ 2 = 55
8(a) 7831 + 47 = 78
933, 23, 13subtract 10 each time
102016pair the numbers: 63 × 64 ÷ 2 = 2016
111369counting up to 37 and back down gives 37 × 37 = 1369
1265, 82square numbers plus 1: 82 + 1, 92 + 1
139724, 12, 36, 108, 324, 972
141816 for the first, then 5 more for each: 6 + 5 × 35 = 181
153001 + 2 + … + 24 = 24 × 25 ÷ 2 = 300
161560double 1 + 2 + … + 39: 2 × 780 = 1560
1794 chairs10 + 6 × 14 = 94
18Rs 3511 × (1 + 2 + … + 26) = 1 × 351 = 351
1955 squares(166 − 4) ÷ 3 + 1 = 55
20300 handshakes24 + 23 + … + 1 = 25 × 24 ÷ 2 = 300