Chapter 1 · Class 6 CBSE · MCQ Test
Patterns in Mathematics MCQ Test — Class 6 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Patterns in Mathematics — MCQ Questions
1Look at the number pattern: 3, 7, 11, 15, ... Which rule correctly describes how to get the next number in this sequence?
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Answer: Add 4 to the previous number
Hint: Observe the difference between consecutive numbers in the given pattern.
Solution:
Let's find the difference between consecutive numbers:
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
Since the difference is consistently 4, the rule is to add 4 to the previous number.
2Consider the pattern: 2, 6, 18, 54, ... What will be the next number in this sequence?
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Answer: 162
Hint: Check if the numbers are increasing by a constant amount or by a constant multiple.
Solution:
Let's look at the relationship between consecutive terms:
6 ÷ 2 = 3
18 ÷ 6 = 3
54 ÷ 18 = 3
The pattern is to multiply the previous number by 3. So, the next number will be 54 × 3 = 162.
3A pattern is made using squares. The first figure has 1 square. The second figure has 4 squares arranged in a 2x2 grid. The third figure has 9 squares arranged in a 3x3 grid. How many squares will the fourth figure have?
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Answer: 16
Hint: Notice how the side length of the square grid changes with each figure number.
Solution:
Figure 1 has 1 square (1 × 1).
Figure 2 has 4 squares (2 × 2).
Figure 3 has 9 squares (3 × 3).
The number of squares is the figure number multiplied by itself (the square of the figure number). For the fourth figure, it will be 4 × 4 = 16 squares.
4Which of the following statements about odd and even numbers is always true?
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Answer: The product of two odd numbers is always an odd number.
Hint: Try testing each statement with a few examples of odd (1, 3, 5) and even (2, 4, 6) numbers.
Solution:
A) Sum of two odd numbers: 3 + 5 = 8 (Even). So, A is false.
B) Product of an odd and an even number: 3 × 4 = 12 (Even). So, B is false.
C) Product of two odd numbers: 3 × 5 = 15 (Odd). This statement is always true.
D) Sum of two even numbers: 2 + 4 = 6 (Even). So, D is false.
5Ravi observed the pattern 10, 20, 30, 40, ... and said, 'The rule for this pattern is to multiply the previous number by 2.' Is Ravi correct? If not, what is the correct rule?
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Answer: No, the rule is to add 10 to the previous number.
Hint: Check Ravi's rule for the second and third numbers in the sequence. What happens if you multiply 20 by 2?
Solution:
Let's check Ravi's rule: If the rule is 'multiply by 2', then 10 × 2 = 20 (correct for the first step). But for the next step, 20 × 2 = 40, which is not 30. So, Ravi is incorrect.
Let's find the actual difference: 20 - 10 = 10, 30 - 20 = 10, 40 - 30 = 10.
The pattern is to add 10 to the previous number.
6What is the 5th triangular number?
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Answer: 15
Hint: Triangular numbers are formed by arranging dots in the shape of equilateral triangles. Think about the sum of consecutive natural numbers.
Solution:
Triangular numbers are formed by summing consecutive natural numbers starting from 1.
1st triangular number = 1
2nd triangular number = 1 + 2 = 3
3rd triangular number = 1 + 2 + 3 = 6
4th triangular number = 1 + 2 + 3 + 4 = 10
5th triangular number = 1 + 2 + 3 + 4 + 5 = 15
7Which of the following numbers is NOT a square number?
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Answer: 90
Hint: A square number is the result of multiplying an integer by itself. Try to find the square root of each option.
Solution:
A square number is obtained by squaring an integer.
49 = 7 × 7
64 = 8 × 8
81 = 9 × 9
90 cannot be expressed as an integer multiplied by itself (9 × 9 = 81, 10 × 10 = 100). Therefore, 90 is not a square number.
8A gardener plants flowers in rows. The first row has 5 flowers, the second row has 7 flowers, and the third row has 9 flowers. If this pattern continues, how many flowers will be in the fifth row?
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Answer: 13
Hint: Find the rule for how the number of flowers increases from one row to the next.
Solution:
Number of flowers in Row 1 = 5
Number of flowers in Row 2 = 7 (5 + 2)
Number of flowers in Row 3 = 9 (7 + 2)
The pattern is to add 2 flowers to the previous row.
Row 4 will have 9 + 2 = 11 flowers.
Row 5 will have 11 + 2 = 13 flowers.
9In the pattern ___, 15, 20, 25, 30, what is the missing number?
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Answer: 10
Hint: Look at the pattern from right to left, or find the common difference between the known numbers.
Solution:
Observe the given numbers: 15, 20, 25, 30.
The difference between consecutive numbers is 20 - 15 = 5, 25 - 20 = 5, 30 - 25 = 5.
The pattern is to add 5 to the previous number to get the next number.
To find the missing number, we need a number that, when 5 is added to it, equals 15. So, missing number + 5 = 15.
Missing number = 15 - 5 = 10.
10Which statement best describes what a 'pattern' means in mathematics?
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Answer: A sequence of numbers or shapes that follows a predictable rule or design.
Hint: Think about what makes a series of numbers or shapes a 'pattern' – it must have some order or logic.
Solution:
A pattern implies an underlying order or rule.
Option A (only repeating designs in art) is too narrow; mathematical patterns are much broader.
Option B (random collection) contradicts the idea of a pattern.
Option C (only arithmetic sequences) is too narrow; patterns can be multiplication, geometric, visual, etc.
Option D correctly defines a pattern as a sequence with a predictable rule or design, which encompasses all types of mathematical patterns.
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Tips for Patterns in Mathematics MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Patterns in Mathematics MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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