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Mathematical Operations - Advanced Level: math puzzles ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level mathematical operations problems. Focus on math puzzles while practicing arithmetic operations, mathematical reasoning, operation rules. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 25 of 30 (83% complete)

Question 1

A value decreases by 25% and then decreases by 29%. What is the net percentage change?
Step 1: decrease by 25% → multiply by 0.75
Step 2: decrease by 29% → multiply by 0.71
Net change = -46.8%
percentage, reasoning

Question 2

What operator should replace '?' to make 14 ? 12 - 8 = 92?
The correct operator is None because 14 None 12 - 8 = 92
operator, reasoning

Question 3

What operator should replace '?' to make 4 × 18 ? 16 = 73?
The correct operator is None because 4 × 18 None 16 = 73
operator, reasoning

Question 4

What operator should replace '?' to make 9 ? 8 - 8 = 78?
The correct operator is None because 9 None 8 - 8 = 78
operator, reasoning

Question 5

Simplify: 12 ÷ (15 + (10 + 15) ÷ 15)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 37
bodmas, complex

Question 6

Given @ means +, $ means ×, # means -, % means ÷, which symbols should be interchanged to make 12 $ 14 # 6 % 10 = 25?
The equation is already correct or no single interchange works
interchange, complex

Question 7

Find the missing number in the sequence: 7, 49, ?, 5764801, 33232930569601
The pattern: Each term is the square of the previous. Therefore, the missing number is 2401
pattern, sequence

Question 8

Find the missing number in the sequence: ?, 1, 1, 1, 1, 1
The pattern: Each term is the square of the previous. Therefore, the missing number is 1
pattern, sequence

Question 9

Find the missing number in the sequence: 3, ?, 12, 24, 48
The pattern: Each term is multiplied by 2. Therefore, the missing number is 6
pattern, sequence

Question 10

What operator should replace '?' to make 18 + 20 ? 20 = 79?
The correct operator is None because 18 + 20 None 20 = 79
operator, reasoning

Question 11

Given: R < Q, Q > S, Q < S. Which of the following is definitely true?
From R < Q and Q > S, we can deduce R > S
inequality, logic

Question 12

If # means -, % means ÷, $ means ×, @ means +, then find the value of 8 # 8 @ 17
Substitute symbols: 8 - 8 + 17 = 17
substitution, basic

Question 13

Simplify: 2/9 + (9/4 + 8/5)
Following BODMAS, calculate step by step to get 733/180
fractions, bodmas

Question 14

Given: Q < P, P > R, R > S. Which of the following is definitely true?
From Q < P and P > R, we can deduce P > S
inequality, logic

Question 15

Simplify: (10/8 - 5/12) ÷ 2/2
Following BODMAS, calculate step by step to get 5/6
fractions, bodmas

Question 16

If $ means ×, # means -, % means ÷, @ means +, then find the value of (14 $ 15) # 4 % 12
Step 1: (14 × 15) = 210
Step 2: 210 - 4 ÷ 12 = 17.17
substitution, brackets

Question 17

A value decreases by 47% and then increases by 38%. What is the net percentage change?
Step 1: decrease by 47% → multiply by 0.53
Step 2: increase by 38% → multiply by 1.38
Net change = -26.9%
percentage, reasoning

Question 18

A value decreases by 12% and then increases by 14%. What is the net percentage change?
Step 1: decrease by 12% → multiply by 0.88
Step 2: increase by 14% → multiply by 1.1400000000000001
Net change = 0.3%
percentage, reasoning

Question 19

What operator should replace '?' to make 16 ? 18 + 9 = 41?
The correct operator is None because 16 None 18 + 9 = 41
operator, reasoning

Question 20

Simplify: 4/3 + (4/11 ÷ 3/10)
Following BODMAS, calculate step by step to get 28/11
fractions, bodmas
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