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Number Analogy - Expert Level: digital root EXPERT

Intensive progress check 🎯 drill: 20 expert-level number analogy questions. Worksheet 30 of 30 hones your digital root abilities. Practice square-cube patterns, prime numbers, arithmetic operations under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

📝 Worksheet 30 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Number Analogy
Worksheet 30 of 30 (100% complete)

Question 1

Find the missing number: 7 : 51 :: 2 : ?
The relationship is square then add 2. 2² + 2 = 6
square, roots

Question 2

Find the missing number: 36 : 12 :: 30 : ?
The relationship is dividing by 3. So 36 ÷ 3 = 12, and 30 ÷ 3 = 10
division, basic

Question 3

Find the missing number: 61 : 8 :: 83 : ?
The relationship is sum of digits plus 1 (wrapping at 9). For 83: 11 + 1 = 1
digit, sum

Question 4

Find the missing number: 5 : 25 :: 8 : ?
The relationship is squaring the number. So 5² = 25, and 8² = 64
square, power

Question 5

Find the missing number: 4 : 15 :: 3 : ?
Pattern: multiply by 3 and add 3. 3 × 3 + 3 = 12
pattern, sequence

Question 6

Find the missing number: 5 : 12 :: 10 : ?
The relationship follows an alternating addition pattern: +7, then +8. So 10 + 8 = 18
addition, basic

Question 7

Find the missing number: 74 : 1 :: 28 : ?
The relationship is sum of digits plus 1 (wrapping at 9). For 28: 10 + 1 = 1
digit, sum

Question 8

Find the missing number: 12 : 3 :: 39 : ?
The relationship is the digital root (repeated sum until single digit). Digital root of 12 = 3, of 39 = 3
digit, sum

Question 9

Find the missing number: 73 : 21 :: 34 : ?
The relationship is the product of digits. Product of digits of 73 = 21, product of digits of 34 = 12
product, digits

Question 10

Find the missing number: 4 : 64 :: 6 : ?
The relationship is raising to the power of 3. So 4^3 = 64, and 6^3 = 216
square, power

Question 11

Find the missing number: 69 : 6 :: 20 : ?
The relationship is the digital root (repeated sum until single digit). Digital root of 69 = 6, of 20 = 2
digit, sum

Question 12

Find the missing number: 58 : 143 :: 12 : ?
The relationship is the sum of number and its reverse. 12 + 21 = 33
reverse, digits

Question 13

Find the missing number: 3 : 9 :: 4 : ?
The relationship is raising to the power of 2. So 3^2 = 9, and 4^2 = 16
square, power

Question 14

Find the missing number: 47 : 121 :: 29 : ?
The relationship is the sum of number and its reverse. 29 + 92 = 121
reverse, digits

Question 15

Find the missing number: 55 : 1 :: 47 : ?
The relationship is sum of digits plus 1 (wrapping at 9). For 47: 11 + 1 = 1
digit, sum

Question 16

Find the missing number: 2, 3, 4 : 9 :: 1, 1, 2 : ?
Tribonacci pattern: each term is sum of previous three. 1+1+2 = 4
pattern, sequence

Question 17

Find the missing number: 93 : 39 :: 19 : ?
The relationship is reversing the digits. Reverse of 93 is 39, reverse of 19 is 91
reverse, digits

Question 18

Find the missing number: 55 : 1 :: 58 : ?
The relationship is sum of digits plus 1 (wrapping at 9). For 58: 13 + 1 = 1
digit, sum

Question 19

Find the missing number: 1, 3, 2 : 6 :: 1, 1, 4 : ?
Tribonacci pattern: each term is sum of previous three. 1+1+4 = 6
pattern, sequence

Question 20

Find the missing number: 3 : 10 :: 3 : ?
Pattern: multiply by 3 and add 1. 3 × 3 + 1 = 10
pattern, sequence
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