Word Problems: Can You See the Pattern? | Mathematics for Class 5: NCERT PDF Download

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Q1: Alex is creating a number pattern. The first three numbers are 4, 7, and 10. Determine the rule for this arithmetic pattern and find the next three numbers in the sequence.
Ans: The difference between the first and second numbers is 7 - 4 = 3. Similarly, the difference between the second and third numbers is 10 - 7 = 3. So, the rule is to add 3 to the preceding number.

• Fourth number: 10 + 3 = 13
• Fifth number: 13 + 3 = 16
• Sixth number: 16 + 3 = 19

Q2: Emily is working on a geometric series pattern. The first three numbers are 2, 6, and 18. Determine the rule for this geometric pattern and find the next three numbers in the sequence.
Ans: To get from 2 to 6, multiply by 3. Similarly, to get from 6 to 18, multiply by 3. So, the rule is to multiply by 3.

• Fourth number: 18 * 3 = 54
• Fifth number: 54 * 3 = 162
• Sixth number: 162 * 3 = 486

Q3: Sara notices a word pattern: CAT, DOG, FISH, __, __, __. Determine the rule for this word pattern and find the next three words in the sequence.
Ans: The pattern is alphabetical order with a 3-letter gap: C, D, F. So, the rule is to move to the next letter in alphabetical order.

• Fourth word: G
• Fifth word: H
• Sixth word: I

Q4: John is exploring a Fibonacci pattern. The first three numbers are 1, 1, and 2. Determine the rule for this Fibonacci pattern and find the next three numbers in the sequence.
Ans: In a Fibonacci sequence, each number is the sum of the two preceding ones. So, the rule is to add the last two numbers.

• Fourth number: 1 + 2 = 3
• Fifth number: 2 + 3 = 5
• Sixth number: 3 + 5 = 8

Q5: In a number pattern, the first four numbers are 3, 6, 12, and 24. Determine the rule for this pattern and find the next two numbers in the sequence.
Ans: To get from 3 to 6, multiply by 2. Similarly, to get from 6 to 12, multiply by 2. So, the rule is to multiply by 2.

• Fifth number: 24 * 2 = 48
• Sixth number: 48 * 2 = 96

Q6: A palindrome pattern is observed with the numbers 121, 434, and 878. Determine the rule for this palindrome pattern and find the next three numbers in the sequence.
Ans: A palindrome remains the same when reversed. So, the rule is to read the numbers backward.

• Fourth number: 121 (same as forward)
• Fifth number: 434 (same as forward)
• Sixth number: 878 (same as forward)

Q7: Alice is creating a number pattern: 18, 15, 12, __, __, __. Determine the rule for this arithmetic pattern and find the next three numbers in the sequence.
Ans: The difference between the first and second numbers is 18 - 15 = 3. Similarly, the difference between the second and third numbers is 15 - 12 = 3. So, the rule is to subtract 3 from the preceding number.

• Fourth number: 12 - 3 = 9
• Fifth number: 9 - 3 = 6
• Sixth number: 6 - 3 = 3

Q8: Tom is working on a number pattern: 5, 10, 20, __, __, __. Determine the rule for this geometric pattern and find the next three numbers in the sequence.
Ans: To get from 5 to 10, multiply by 2. Similarly, to get from 10 to 20, multiply by 2. So, the rule is to multiply by 2.

• Fourth number: 20 * 2 = 40
• Fifth number: 40 * 2 = 80
• Sixth number: 80 * 2 = 160

Q9: Sophie is creating a word pattern: APPLE, BANANA, CHERRY, __, __, __. Determine the rule for this word pattern and find the next three words in the sequence.
Ans: The pattern is moving to the next letter in alphabetical order. So, the rule is to move to the next letter.

• Fourth word: DATE
• Fifth word: EGGPLANT
• Sixth word: FIG

Q10: In a Fibonacci pattern, the first four numbers are 1, 2, 3, and 5. Determine the rule for this Fibonacci pattern and find the next two numbers in the sequence.
Ans: In a Fibonacci sequence, each number is the sum of the two preceding ones. So, the rule is to add the last two numbers.

• Fifth number: 3 + 5 = 8
• Sixth number: 5 + 8 = 13