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Mathematical Operations - Beginner-Intermediate Level: mathematical manipulation BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level mathematical operations problems. Worksheet 8 of 30 emphasizes mathematical manipulation. Master mathematical logic, operation puzzles, symbolic operations through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

📝 Worksheet 8 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 8 of 30 (26% complete)

Question 1

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

Question 2

If @ means +, # means ×, $ means -, find 6 @ (4 # 12) $ 10
Step 1: (4 × 12) = 48
Step 2: 6 + 48 - 10 = 44
bodmas, brackets

Question 3

If $ means ×, % means ÷, @ means +, # means -, then find the value of 10 # 12 @ 17
Substitute symbols: 10 - 12 + 17 = 15
substitution, basic

Question 4

What operator should replace '?' to make 3 × 18 ? 11 = 46?
The correct operator is None because 3 × 18 None 11 = 46
operator, reasoning

Question 5

Simplify: 14 + (5 - 10) - 11 ÷ 12
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 8.08
bodmas, complex

Question 6

Simplify: 9 - (14 × (3 ÷ 7) ÷ 4)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 9
bodmas, complex

Question 7

A value decreases by 47% and then decreases by 28%. What is the net percentage change?
Step 1: decrease by 47% → multiply by 0.53
Step 2: decrease by 28% → multiply by 0.72
Net change = -61.8%
percentage, reasoning

Question 8

Given $ means ×, # means -, % means ÷, @ means +, which symbols should be interchanged to make 14 # 6 @ 4 % 5 = 49?
The equation is already correct or no single interchange works
interchange, complex

Question 9

If @ means +, # means ×, $ means -, find 3 @ (5 # 2) $ 10
Step 1: (5 × 2) = 10
Step 2: 3 + 10 - 10 = 3
bodmas, brackets

Question 10

A value increases by 28% and then increases by 24%. What is the net percentage change?
Step 1: increase by 28% → multiply by 1.28
Step 2: increase by 24% → multiply by 1.24
Net change = 58.7%
percentage, reasoning

Question 11

Simplify: (2/7 + 10/2) × 2/7
Following BODMAS, calculate step by step to get 74/49
fractions, bodmas

Question 12

If $ means -, @ means +, # means ×, find 9 @ (11 # 4) $ 12
Step 1: (11 × 4) = 44
Step 2: 9 + 44 - 12 = 41
bodmas, brackets

Question 13

Which two numbers should be interchanged to make the equation 4 + 11 - 8 = 27 correct?
balance, interchange

Question 14

If $ means ×, @ means +, % means ÷, # means -, then find the value of (8 $ 7) @ 6 # 6
Step 1: (8 × 7) = 56
Step 2: 56 + 6 - 6 = 56
substitution, brackets

Question 15

If @ means +, $ means ×, % means ÷, # means -, then find the value of (13 $ 7) @ 2 # 4
Step 1: (13 × 7) = 91
Step 2: 91 + 2 - 4 = 89
substitution, brackets

Question 16

If @ means +, $ means -, # means ×, find 9 @ (6 # 3) $ 11
Step 1: (6 × 3) = 18
Step 2: 9 + 18 - 11 = 16
bodmas, brackets

Question 17

Given % means ÷, $ means ×, @ means +, # means -, which symbols should be interchanged to make 15 % 6 $ 5 # 11 = 37?
The equation is already correct or no single interchange works
interchange, complex

Question 18

Which two numbers should be interchanged to make the equation 3 + 11 × 11 = 18 correct?
balance, interchange

Question 19

If @ means +, $ means ×, % means ÷, # means -, then find the value of (4 % 15) # 14 $ 10
Step 1: (4 ÷ 15) = 0.27
Step 2: 0.27 - 14 × 10 = -137.3
substitution, brackets

Question 20

A value increases by 25% and then increases by 30%. What is the net percentage change?
Step 1: increase by 25% → multiply by 1.25
Step 2: increase by 30% → multiply by 1.3
Net change = 62.5%
percentage, reasoning
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