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Mathematical Operations - Beginner Level: mathematical reasoning BEGINNER

Boost your speed and accuracy with this beginner friendly 📈 worksheet. Worksheet 5 of 30 presents 20 beginner-level mathematical operations problems. Focus on mathematical reasoning while practicing mathematical reasoning, operation rules, calculation puzzles. Difficulty: foundational concepts and basic patterns. Perfect for entry-level test takers.

📝 Worksheet 5 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 5 of 30 (16% complete)

Question 1

Simplify: (6 - 11) × (11 × 10) ÷ 10
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -55
bodmas, complex

Question 2

Given # means -, $ means ×, % means ÷, @ means +, which symbols should be interchanged to make 4 $ 5 @ 9 % 3 = 38?
The equation is already correct or no single interchange works
interchange, complex

Question 3

Find the missing number in the sequence: ?, 18, 36, 72, 144
The pattern: Each term is multiplied by 2. Therefore, the missing number is 9
pattern, sequence

Question 4

Given: Q > R, P > S, S < Q. Which of the following is definitely true?
From Q > R and P > S, we can deduce Cannot determine
inequality, logic

Question 5

If # means -, % means ÷, $ means ×, @ means +, then find the value of (5 $ 4) # 11 % 4
Step 1: (5 × 4) = 20
Step 2: 20 - 11 ÷ 4 = 2.25
substitution, brackets

Question 6

If # means -, % means ÷, @ means +, $ means ×, then find the value of 2 # 12 % 15
Substitute symbols: 2 - 12 ÷ 15 = 2
substitution, basic

Question 7

If # means -, % means ÷, @ means +, $ means ×, then find the value of 11 @ 15 $ 12
Substitute symbols: 11 + 15 × 12 = 191
substitution, basic

Question 8

Given # means -, $ means ×, % means ÷, @ means +, which symbols should be interchanged to make 11 $ 10 % 12 # 5 = 56?
The equation is already correct or no single interchange works
interchange, complex

Question 9

Given @ means +, % means ÷, $ means ×, # means -, which symbols should be interchanged to make 15 @ 14 % 11 $ 3 = 43?
The equation is already correct or no single interchange works
interchange, complex

Question 10

If # means -, % means ÷, $ means ×, @ means +, then find the value of 8 $ 12 % 18
Substitute symbols: 8 × 12 ÷ 18 = 5.33
substitution, basic

Question 11

Find the missing number in the sequence: 9, 14, 19, ?
The pattern: Each term increases by 5. Therefore, the missing number is 24
pattern, sequence

Question 12

If $ means -, @ means +, # means ×, find 5 @ (9 # 3) $ 2
Step 1: (9 × 3) = 27
Step 2: 5 + 27 - 2 = 30
bodmas, brackets

Question 13

If $ means -, # means ×, @ means +, find 3 @ (9 # 6) $ 7
Step 1: (9 × 6) = 54
Step 2: 3 + 54 - 7 = 50
bodmas, brackets

Question 14

What operator should replace '?' to make 16 ? 2 - 20 = 38?
The correct operator is None because 16 None 2 - 20 = 38
operator, reasoning

Question 15

Given # means -, % means ÷, @ means +, $ means ×, which symbols should be interchanged to make 13 % 7 @ 13 $ 6 = 42?
The equation is already correct or no single interchange works
interchange, complex

Question 16

Simplify: 15 ÷ (15 ÷ (10 - 7) + 13)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 15
bodmas, complex

Question 17

A value decreases by 43% and then increases by 50%. What is the net percentage change?
Step 1: decrease by 43% → multiply by 0.5700000000000001
Step 2: increase by 50% → multiply by 1.5
Net change = -14.5%
percentage, reasoning

Question 18

Simplify: 8/9 - (2/11 + 1/7)
Following BODMAS, calculate step by step to get 391/693
fractions, bodmas

Question 19

What operator should replace '?' to make 12 ? 3 ÷ 9 = 89?
The correct operator is None because 12 None 3 ÷ 9 = 89
operator, reasoning

Question 20

Simplify: (3/2 - 7/3) - 7/5
Following BODMAS, calculate step by step to get -67/30
fractions, bodmas
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