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Mathematical Operations - Intermediate-Advanced Level: calculation puzzles INTERMEDIATE-ADVANCED

Ready to master mathematical operations? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your calculation puzzles skills. Master mathematical logic, operation puzzles, symbolic operations through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 22 of 30 (73% complete)

Question 1

If # means -, $ means ×, @ means +, % means ÷, then find the value of 5 % 20 $ 10
Substitute symbols: 5 ÷ 20 × 10 = 2.5
substitution, basic

Question 2

If $ means -, # means ×, @ means +, find 8 @ (10 # 7) $ 3
Step 1: (10 × 7) = 70
Step 2: 8 + 70 - 3 = 75
bodmas, brackets

Question 3

What operator should replace '?' to make 12 ? 19 × 3 = 79?
The correct operator is None because 12 None 19 × 3 = 79
operator, reasoning

Question 4

What operator should replace '?' to make 4 ? 9 - 18 = 96?
The correct operator is None because 4 None 9 - 18 = 96
operator, reasoning

Question 5

What operator should replace '?' to make 8 ? 4 × 2 = 82?
The correct operator is None because 8 None 4 × 2 = 82
operator, reasoning

Question 6

If $ means ×, @ means +, # means -, % means ÷, then find the value of 18 $ 15 % 8
Substitute symbols: 18 × 15 ÷ 8 = 33.75
substitution, basic

Question 7

Find the missing number in the sequence: ?, 12, 24, 48, 96, 192
The pattern: Each term is multiplied by 2. Therefore, the missing number is 6
pattern, sequence

Question 8

If # means -, % means ÷, @ means +, $ means ×, then find the value of 20 $ 14 # 8
Substitute symbols: 20 × 14 - 8 = 272
substitution, basic

Question 9

If @ means +, # means ×, $ means -, find 2 @ (12 # 9) $ 8
Step 1: (12 × 9) = 108
Step 2: 2 + 108 - 8 = 102
bodmas, brackets

Question 10

What operator should replace '?' to make 18 × 6 ? 2 = 80?
The correct operator is None because 18 × 6 None 2 = 80
operator, reasoning

Question 11

Simplify: 9 ÷ (8 - 3) - 15 ÷ 13
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 0.65
bodmas, complex

Question 12

Simplify: 6 + (10 + (6 + 6) × 12)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 18
bodmas, complex

Question 13

Find the missing number in the sequence: 3, 6, ?, 24
The pattern: Each term is multiplied by 2. Therefore, the missing number is 12
pattern, sequence

Question 14

Simplify: 2/6 - (1/9 + 6/5)
Following BODMAS, calculate step by step to get -44/45
fractions, bodmas

Question 15

Find the missing number in the sequence: 2, 4, 8, 16, ?
The pattern: Each term increases by 2. Therefore, the missing number is 32
pattern, sequence

Question 16

Find the missing number in the sequence: 8, 13, ?, 23
The pattern: Each term increases by 5. Therefore, the missing number is 18
pattern, sequence

Question 17

A value decreases by 42% and then decreases by 39%. What is the net percentage change?
Step 1: decrease by 42% → multiply by 0.5800000000000001
Step 2: decrease by 39% → multiply by 0.61
Net change = -64.6%
percentage, reasoning

Question 18

Given % means ÷, # means -, $ means ×, @ means +, which symbols should be interchanged to make 9 @ 8 # 6 $ 14 = 40?
The equation is already correct or no single interchange works
interchange, complex

Question 19

Given $ means ×, # means -, @ means +, % means ÷, which symbols should be interchanged to make 11 % 11 @ 14 $ 7 = 60?
The equation is already correct or no single interchange works
interchange, complex

Question 20

Find the missing number in the sequence: 7, 21, 63, 189, ?
The pattern: Each term is multiplied by 3. Therefore, the missing number is 567
pattern, sequence
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