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Mathematical Operations - Beginner Level: operation rules BEGINNER

Master mathematical operations concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into operation rules while learning operation rules, calculation puzzles, mathematical manipulation. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 6 of 30 (20% complete)

Question 1

What operator should replace '?' to make 20 ? 7 + 20 = 8?
The correct operator is None because 20 None 7 + 20 = 8
operator, reasoning

Question 2

If # means -, @ means +, $ means ×, % means ÷, then find the value of (11 % 5) @ 6 $ 5
Step 1: (11 ÷ 5) = 2.2
Step 2: 2.2 + 6 × 5 = 41.0
substitution, brackets

Question 3

A value increases by 45% and then increases by 48%. What is the net percentage change?
Step 1: increase by 45% → multiply by 1.45
Step 2: increase by 48% → multiply by 1.48
Net change = 114.6%
percentage, reasoning

Question 4

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

Question 5

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

Question 6

If % means ÷, # means -, @ means +, $ means ×, then find the value of 19 % 15 # 9
Substitute symbols: 19 ÷ 15 - 9 = -7.73
substitution, basic

Question 7

Which two numbers should be interchanged to make the equation 2 - 4 + 7 = 40 correct?
balance, interchange

Question 8

A value increases by 45% and then decreases by 42%. What is the net percentage change?
Step 1: increase by 45% → multiply by 1.45
Step 2: decrease by 42% → multiply by 0.5800000000000001
Net change = -15.9%
percentage, reasoning

Question 9

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

Question 10

What operator should replace '?' to make 17 + 19 ? 18 = 12?
The correct operator is None because 17 + 19 None 18 = 12
operator, reasoning

Question 11

If $ means ×, # means -, @ means +, % means ÷, then find the value of (3 % 11) $ 8 # 2
Step 1: (3 ÷ 11) = 0.27
Step 2: 0.27 × 8 - 2 = 0.16000000000000014
substitution, brackets

Question 12

If @ means +, $ means ×, % means ÷, # means -, then find the value of (4 # 8) $ 12 % 14
Step 1: (4 - 8) = -4
Step 2: -4 × 12 ÷ 14 = -3.43
substitution, brackets

Question 13

Simplify: 7/4 + (9/8 - 2/8)
Following BODMAS, calculate step by step to get 21/8
fractions, bodmas

Question 14

Which two numbers should be interchanged to make the equation 6 + 5 - 9 = 16 correct?
balance, interchange

Question 15

Given @ means +, % means ÷, # means -, $ means ×, which symbols should be interchanged to make 9 $ 7 % 3 # 3 = 25?
The equation is already correct or no single interchange works
interchange, complex

Question 16

Given # means -, $ means ×, % means ÷, @ means +, which symbols should be interchanged to make 7 % 13 @ 12 # 14 = 80?
The equation is already correct or no single interchange works
interchange, complex

Question 17

Simplify: (1/12 - 3/10) × 1/3
Following BODMAS, calculate step by step to get -13/180
fractions, bodmas

Question 18

Which two numbers should be interchanged to make the equation 3 + 12 - 12 = 18 correct?
balance, interchange

Question 19

Given $ means ×, % means ÷, # means -, @ means +, which symbols should be interchanged to make 6 % 4 # 6 $ 8 = 41?
The equation is already correct or no single interchange works
interchange, complex

Question 20

If % means ÷, @ means +, # means -, $ means ×, then find the value of 5 @ 10 % 8
Substitute symbols: 5 + 10 ÷ 8 = 6
substitution, basic
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