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Mathematical Operations - Intermediate-Advanced Level: mathematical reasoning INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level mathematical operations questions. Worksheet 20 of 30 hones your mathematical reasoning abilities. Practice operation rules, calculation puzzles, mathematical manipulation under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

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

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 20 of 30 (66% complete)

Question 1

If @ means +, $ means -, # means ×, find 9 @ (11 # 11) $ 5
Step 1: (11 × 11) = 121
Step 2: 9 + 121 - 5 = 125
bodmas, brackets

Question 2

A value increases by 12% and then decreases by 33%. What is the net percentage change?
Step 1: increase by 12% → multiply by 1.12
Step 2: decrease by 33% → multiply by 0.6699999999999999
Net change = -25.0%
percentage, reasoning

Question 3

Simplify: (3 + 2) + (8 - 10) × 7
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -9
bodmas, complex

Question 4

If % means ÷, $ means ×, @ means +, # means -, then find the value of (14 % 13) $ 4 @ 3
Step 1: (14 ÷ 13) = 1.08
Step 2: 1.08 × 4 + 3 = 7.32
substitution, brackets

Question 5

Simplify: 10/8 + (3/5 × 6/8)
Following BODMAS, calculate step by step to get 17/10
fractions, bodmas

Question 6

If % means ÷, $ means ×, # means -, @ means +, then find the value of (15 @ 13) % 6 $ 2
Step 1: (15 + 13) = 28
Step 2: 28 ÷ 6 × 2 = 9.34
substitution, brackets

Question 7

If # means -, @ means +, $ means ×, % means ÷, then find the value of (7 $ 9) @ 3 # 4
Step 1: (7 × 9) = 63
Step 2: 63 + 3 - 4 = 62
substitution, brackets

Question 8

Simplify: 6 × (15 ÷ (4 - 10) × 2)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 6
bodmas, complex

Question 9

Which two numbers should be interchanged to make the equation 7 × 4 - 5 = 40 correct?
balance, interchange

Question 10

If $ means ×, % means ÷, @ means +, # means -, then find the value of (4 @ 8) # 2 % 5
Step 1: (4 + 8) = 12
Step 2: 12 - 2 ÷ 5 = 2
substitution, brackets

Question 11

Simplify: 11 × (11 + 6) ÷ 13 ÷ 3
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 4.79
bodmas, complex

Question 12

If @ means +, $ means ×, # means -, % means ÷, then find the value of (10 $ 8) @ 15 % 9
Step 1: (10 × 8) = 80
Step 2: 80 + 15 ÷ 9 = 10.56
substitution, brackets

Question 13

If # means -, % means ÷, $ means ×, @ means +, then find the value of 15 $ 4 % 13
Substitute symbols: 15 × 4 ÷ 13 = 4.62
substitution, basic

Question 14

Which two numbers should be interchanged to make the equation 6 + 12 + 7 = 21 correct?
balance, interchange

Question 15

Simplify: (5/9 + 7/2) - 5/2
Following BODMAS, calculate step by step to get 14/9
fractions, bodmas

Question 16

Find the missing number in the sequence: 2, 4, 6, ?, 10
The pattern: Each term increases by 2. Therefore, the missing number is 8
pattern, sequence

Question 17

Simplify: (3 + 2) ÷ (10 × 10) - 6
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -5.95
bodmas, complex

Question 18

What operator should replace '?' to make 4 - 15 ? 13 = 96?
The correct operator is None because 4 - 15 None 13 = 96
operator, reasoning

Question 19

A value increases by 18% and then decreases by 22%. What is the net percentage change?
Step 1: increase by 18% → multiply by 1.18
Step 2: decrease by 22% → multiply by 0.78
Net change = -8.0%
percentage, reasoning

Question 20

What operator should replace '?' to make 10 ? 16 - 9 = 13?
The correct operator is None because 10 None 16 - 9 = 13
operator, reasoning
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