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Mathematical Operations - Intermediate Level: operation puzzles INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level mathematical operations questions. Worksheet 17 of 30 - Focus: operation puzzles. Practice symbolic operations, arithmetic operations, mathematical reasoning with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 17 of 30 (56% complete)

Question 1

Simplify: 4 ÷ (12 - 3) + 4 ÷ 12
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 0.78
bodmas, complex

Question 2

If @ means +, # means ×, $ means -, find 10 @ (7 # 4) $ 6
Step 1: (7 × 4) = 28
Step 2: 10 + 28 - 6 = 32
bodmas, brackets

Question 3

Simplify: 12 × (11 ÷ (8 + 14) × 15)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 12
bodmas, complex

Question 4

If # means -, % means ÷, @ means +, $ means ×, then find the value of (14 % 10) @ 4 # 8
Step 1: (14 ÷ 10) = 1.4
Step 2: 1.4 + 4 - 8 = -2.5999999999999996
substitution, brackets

Question 5

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

Question 6

A value decreases by 16% and then decreases by 11%. What is the net percentage change?
Step 1: decrease by 16% → multiply by 0.84
Step 2: decrease by 11% → multiply by 0.89
Net change = -25.2%
percentage, reasoning

Question 7

Simplify: (6 + 6) × (5 × 13) × 7
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 5460
bodmas, complex

Question 8

If # means -, $ means ×, % means ÷, @ means +, then find the value of 13 % 7 @ 20
Substitute symbols: 13 ÷ 7 + 20 = 21.86
substitution, basic

Question 9

A value increases by 35% and then decreases by 28%. What is the net percentage change?
Step 1: increase by 35% → multiply by 1.35
Step 2: decrease by 28% → multiply by 0.72
Net change = -2.8%
percentage, reasoning

Question 10

What operator should replace '?' to make 8 ? 8 - 9 = 55?
The correct operator is × because 8 × 8 - 9 = 55
operator, reasoning

Question 11

Given # means -, $ means ×, @ means +, % means ÷, which symbols should be interchanged to make 11 # 13 @ 6 $ 12 = 63?
The equation is already correct or no single interchange works
interchange, complex

Question 12

If # means -, % means ÷, $ means ×, @ means +, then find the value of (11 # 5) % 14 @ 9
Step 1: (11 - 5) = 6
Step 2: 6 ÷ 14 + 9 = 9.43
substitution, brackets

Question 13

Find the missing number in the sequence: 8, 24, 72, ?, 648
The pattern: Each term is multiplied by 3. Therefore, the missing number is 216
pattern, sequence

Question 14

Find the missing number in the sequence: 10, 100, 10000, ?, 10000000000000000
The pattern: Each term is the square of the previous. Therefore, the missing number is 100000000
pattern, sequence

Question 15

If % means ÷, $ means ×, @ means +, # means -, then find the value of 20 # 5 $ 17
Substitute symbols: 20 - 5 × 17 = -65
substitution, basic

Question 16

If $ means ×, # means -, % means ÷, @ means +, then find the value of 13 $ 13 # 8
Substitute symbols: 13 × 13 - 8 = 161
substitution, basic

Question 17

Which two numbers should be interchanged to make the equation 2 × 8 + 12 = 48 correct?
balance, interchange

Question 18

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

Question 19

A value decreases by 50% and then decreases by 10%. What is the net percentage change?
Step 1: decrease by 50% → multiply by 0.5
Step 2: decrease by 10% → multiply by 0.9
Net change = -55.0%
percentage, reasoning

Question 20

Find the missing number in the sequence: 5, ?, 9, 11, 13, 15
The pattern: Each term increases by 2. Therefore, the missing number is 7
pattern, sequence
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