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Mathematical Operations - Intermediate-Advanced Level: operation rules INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level mathematical operations problems. Worksheet 21 of 30 focuses on operation rules. Practice calculation puzzles, mathematical manipulation, operational logic with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 21 of 30 (70% complete)

Question 1

Given $ means ×, # means -, @ means +, % means ÷, which symbols should be interchanged to make 3 % 11 # 8 $ 14 = 26?
The equation is already correct or no single interchange works
interchange, complex

Question 2

Simplify: (12 + 2) × (4 × 7) ÷ 3
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 130.67
bodmas, complex

Question 3

If # means -, % means ÷, @ means +, $ means ×, then find the value of (10 $ 15) # 12 % 4
Step 1: (10 × 15) = 150
Step 2: 150 - 12 ÷ 4 = 34.5
substitution, brackets

Question 4

If # means -, $ means ×, @ means +, % means ÷, then find the value of (14 @ 5) $ 5 # 15
Step 1: (14 + 5) = 19
Step 2: 19 × 5 - 15 = 80
substitution, brackets

Question 5

Find the missing number in the sequence: 8, ?, 72, 216
The pattern: Each term is multiplied by 3. Therefore, the missing number is 24
pattern, sequence

Question 6

Simplify: (2 ÷ 11) ÷ (11 ÷ 2) × 10
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 0.33
bodmas, complex

Question 7

Given % means ÷, # means -, @ means +, $ means ×, which symbols should be interchanged to make 9 % 6 # 13 $ 9 = 45?
The equation is already correct or no single interchange works
interchange, complex

Question 8

If @ means +, # means ×, $ means -, find 7 @ (4 # 2) $ 10
Step 1: (4 × 2) = 8
Step 2: 7 + 8 - 10 = 5
bodmas, brackets

Question 9

Which two numbers should be interchanged to make the equation 9 + 6 × 4 = 28 correct?
balance, interchange

Question 10

Find the missing number in the sequence: 7, 12, 17, ?, 27, 32
The pattern: Each term increases by 5. Therefore, the missing number is 22
pattern, sequence

Question 11

Simplify: (9 × 7) + (15 - 3) × 12
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 207
bodmas, complex

Question 12

Find the missing number in the sequence: 5, 10, ?, 20, 25
The pattern: Each term increases by 5. Therefore, the missing number is 15
pattern, sequence

Question 13

If # means -, % means ÷, $ means ×, @ means +, then find the value of 17 # 14 @ 19
Substitute symbols: 17 - 14 + 19 = 22
substitution, basic

Question 14

Simplify: 13 ÷ (10 - 6) × 8 × 5
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 130
bodmas, complex

Question 15

If % means ÷, $ means ×, # means -, @ means +, then find the value of 6 $ 18 @ 18
Substitute symbols: 6 × 18 + 18 = 126
substitution, basic

Question 16

Simplify: 6/9 - (9/7 + 5/2)
Following BODMAS, calculate step by step to get -131/42
fractions, bodmas

Question 17

Find the missing number in the sequence: 7, 14, ?, 56, 112
The pattern: Each term is multiplied by 2. Therefore, the missing number is 28
pattern, sequence

Question 18

Given @ means +, % means ÷, # means -, $ means ×, which symbols should be interchanged to make 14 % 11 $ 11 # 5 = 65?
The equation is already correct or no single interchange works
interchange, complex

Question 19

If @ means +, # means -, $ means ×, % means ÷, then find the value of 18 % 11 @ 15
Substitute symbols: 18 ÷ 11 + 15 = 16.64
substitution, basic

Question 20

If @ means +, % means ÷, # means -, $ means ×, then find the value of 20 % 5 $ 16
Substitute symbols: 20 ÷ 5 × 16 = 64
substitution, basic
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