Question 1
If @ means +, % means ÷, $ means ×, # means -, then find the value of 2 @ 6 % 3
Substitute symbols: 2 + 6 ÷ 3 = 4
Mathematical Operations - Beginner-Intermediate Level: equation solving BEGINNER-INTERMEDIATE
Ready to master mathematical operations? This benchmark test features 20 beginner-intermediate-level challenges. Worksheet 12 of 30 sharpens your equation solving skills. Master mathematical reasoning, operation rules, calculation puzzles through guided practice. Perfect for developing test preparation.
What you'll learn in this worksheet:
- Complete coverage of mathematical reasoning topics
- In-depth practice of operation rules variations
- Master all benchmark test question types
- Thorough understanding of calculation puzzles
- Comprehensive equation solving preparation
Your progress through Mathematical Operations
Worksheet 12 of 30 (40% complete)
Question 2
Given: Q < P, P > R, P < R. Which of the following is definitely true?
From Q < P and P > R, we can deduce S > P
Question 3
Given $ means ×, @ means +, % means ÷, # means -, which symbols should be interchanged to make 9 % 3 # 8 @ 12 = 57?
The equation is already correct or no single interchange works
Question 4
A value increases by 32% and then increases by 42%. What is the net percentage change?
Step 1: increase by 32% → multiply by 1.32
Step 2: increase by 42% → multiply by 1.42
Net change = 87.4%
Step 2: increase by 42% → multiply by 1.42
Net change = 87.4%
Question 5
Find the missing number in the sequence: 1, 2, 4, 8, ?, 32
The pattern: Each term is multiplied by 2. Therefore, the missing number is 16
Question 6
What operator should replace '?' to make 6 ? 18 × 8 = 6?
The correct operator is None because 6 None 18 × 8 = 6
Question 7
Given % means ÷, $ means ×, @ means +, # means -, which symbols should be interchanged to make 8 $ 7 % 4 @ 12 = 53?
The equation is already correct or no single interchange works
Question 8
What operator should replace '?' to make 7 × 17 ? 18 = 27?
The correct operator is None because 7 × 17 None 18 = 27
Question 9
Simplify: (10 × 3) + (15 ÷ 7) + 6
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 38.14
Question 10
Simplify: 3 - (4 + (4 - 9) + 15)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -2
Question 11
A value increases by 36% and then decreases by 11%. What is the net percentage change?
Step 1: increase by 36% → multiply by 1.3599999999999999
Step 2: decrease by 11% → multiply by 0.89
Net change = 21.0%
Step 2: decrease by 11% → multiply by 0.89
Net change = 21.0%
Question 12
Simplify: (4 + 4) + (9 × 5) × 12
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 548
Question 13
If $ means ×, % means ÷, # means -, @ means +, then find the value of 12 % 3 @ 19
Substitute symbols: 12 ÷ 3 + 19 = 23
Question 14
Given $ means ×, % means ÷, # means -, @ means +, which symbols should be interchanged to make 14 # 8 $ 14 % 4 = 23?
The equation is already correct or no single interchange works
Question 15
If % means ÷, @ means +, # means -, $ means ×, then find the value of 17 $ 11 # 12
Substitute symbols: 17 × 11 - 12 = 175
Question 16
If % means ÷, $ means ×, # means -, @ means +, then find the value of 4 $ 14 @ 10
Substitute symbols: 4 × 14 + 10 = 66
Question 17
If @ means +, $ means ×, # means -, % means ÷, then find the value of (13 @ 4) % 13 # 2
Step 1: (13 + 4) = 17
Step 2: 17 ÷ 13 - 2 = -0.69
Step 2: 17 ÷ 13 - 2 = -0.69
Question 18
Simplify: 5 × (10 + 15) × 3 + 10
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 385
Question 19
What operator should replace '?' to make 6 ? 7 - 3 = 19?
The correct operator is None because 6 None 7 - 3 = 19
Question 20
Given: P > Q, R > P, Q < S. Which of the following is definitely true?
From P > Q and R > P, we can deduce Cannot determine
📈 Building expertise: Worksheet 12 of 30 in Mathematical Operations.