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Mathematical Operations - Intermediate Level: operation substitution INTERMEDIATE

Exam-focused quick response training ★ worksheet: 20 intermediate-level mathematical operations questions. Worksheet 13 of 30 targets operation substitution. Build proficiency in operation rules, calculation puzzles, mathematical manipulation with detailed solutions. Ideal for mid-level competitive exam preparation.

📝 Worksheet 13 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 13 of 30 (43% complete)

Question 1

If $ means ×, # means -, % means ÷, @ means +, then find the value of (10 % 6) $ 15 # 8
Step 1: (10 ÷ 6) = 1.67
Step 2: 1.67 × 15 - 8 = 17.049999999999997
substitution, brackets

Question 2

A value increases by 49% and then decreases by 19%. What is the net percentage change?
Step 1: increase by 49% → multiply by 1.49
Step 2: decrease by 19% → multiply by 0.81
Net change = 20.7%
percentage, reasoning

Question 3

Given $ means ×, @ means +, % means ÷, # means -, which symbols should be interchanged to make 14 % 5 # 11 @ 10 = 48?
The equation is already correct or no single interchange works
interchange, complex

Question 4

What operator should replace '?' to make 8 ? 17 + 17 = 66?
The correct operator is None because 8 None 17 + 17 = 66
operator, reasoning

Question 5

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

Question 6

Simplify: (12 + 15) + (6 × 2) × 12
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 171
bodmas, complex

Question 7

Simplify: (9/5 - 9/2) ÷ 6/2
Following BODMAS, calculate step by step to get -9/10
fractions, bodmas

Question 8

What operator should replace '?' to make 15 ? 12 - 7 = 75?
The correct operator is None because 15 None 12 - 7 = 75
operator, reasoning

Question 9

If $ means -, @ means +, # means ×, find 9 @ (12 # 10) $ 11
Step 1: (12 × 10) = 120
Step 2: 9 + 120 - 11 = 118
bodmas, brackets

Question 10

What operator should replace '?' to make 5 ÷ 20 ? 18 = 94?
The correct operator is None because 5 ÷ 20 None 18 = 94
operator, reasoning

Question 11

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

Question 12

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

Question 13

If @ means +, % means ÷, # means -, $ means ×, then find the value of 18 $ 15 @ 14
Substitute symbols: 18 × 15 + 14 = 284
substitution, basic

Question 14

Simplify: (13 ÷ 13) + (10 + 7) + 10
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 28
bodmas, complex

Question 15

Which two numbers should be interchanged to make the equation 5 + 9 + 9 = 41 correct?
balance, interchange

Question 16

Simplify: 3 ÷ (11 + 9) ÷ 5 × 10
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 0.30
bodmas, complex

Question 17

Simplify: 3/11 + (9/4 - 3/6)
Following BODMAS, calculate step by step to get 89/44
fractions, bodmas

Question 18

If @ means +, # means ×, $ means -, find 8 @ (7 # 8) $ 4
Step 1: (7 × 8) = 56
Step 2: 8 + 56 - 4 = 60
bodmas, brackets

Question 19

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

Question 20

Which two numbers should be interchanged to make the equation 7 × 10 × 7 = 42 correct?
balance, interchange
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