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Mathematical Operations - Beginner Level: mathematical logic BEGINNER

This foundation builder 🌟 worksheet contains 20 beginner-level mathematical operations problems. Worksheet 1 of 30 focuses on mathematical logic. Practice mathematical logic, operation puzzles, symbolic operations with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

📝 Worksheet 1 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 1 of 30 (3% complete)

Question 1

Which two numbers should be interchanged to make the equation 4 × 10 × 7 = 36 correct?
balance, interchange

Question 2

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

Question 3

Find the missing number in the sequence: 8, 13, 18, 23, ?, 33
The pattern: Each term increases by 5. Therefore, the missing number is 28
pattern, sequence

Question 4

If # means -, @ means +, $ means ×, % means ÷, then find the value of (10 # 3) @ 3 % 3
Step 1: (10 - 3) = 7
Step 2: 7 + 3 ÷ 3 = 3.33
substitution, brackets

Question 5

Find the missing number in the sequence: 5, 25, 625, 390625, ?
The pattern: Each term is the square of the previous. Therefore, the missing number is 152587890625
pattern, sequence

Question 6

Simplify: 5/7 + (2/12 + 4/3)
Following BODMAS, calculate step by step to get 31/14
fractions, bodmas

Question 7

Given $ means ×, # means -, @ means +, % means ÷, which symbols should be interchanged to make 9 @ 13 % 5 $ 6 = 56?
The equation is already correct or no single interchange works
interchange, complex

Question 8

If # means ×, @ means +, $ means -, find 12 @ (3 # 11) $ 9
Step 1: (3 × 11) = 33
Step 2: 12 + 33 - 9 = 36
bodmas, brackets

Question 9

What operator should replace '?' to make 17 ? 16 + 17 = 59?
The correct operator is None because 17 None 16 + 17 = 59
operator, reasoning

Question 10

Which two numbers should be interchanged to make the equation 6 + 10 + 10 = 50 correct?
balance, interchange

Question 11

Simplify: (10 + 4) ÷ (7 × 4) - 8
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -7.50
bodmas, complex

Question 12

If @ means +, # means -, $ means ×, % means ÷, then find the value of 16 $ 12 % 15
Substitute symbols: 16 × 12 ÷ 15 = 12.8
substitution, basic

Question 13

If $ means -, # means ×, @ means +, find 10 @ (12 # 11) $ 9
Step 1: (12 × 11) = 132
Step 2: 10 + 132 - 9 = 133
bodmas, brackets

Question 14

If # means -, $ means ×, % means ÷, @ means +, then find the value of (12 @ 9) $ 12 % 5
Step 1: (12 + 9) = 21
Step 2: 21 × 12 ÷ 5 = 50.4
substitution, brackets

Question 15

Which two numbers should be interchanged to make the equation 2 + 6 × 7 = 25 correct?
balance, interchange

Question 16

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

Question 17

Find the missing number in the sequence: 9, 11, ?, 15, 17
The pattern: Each term increases by 2. Therefore, the missing number is 13
pattern, sequence

Question 18

A value increases by 10% and then decreases by 36%. What is the net percentage change?
Step 1: increase by 10% → multiply by 1.1
Step 2: decrease by 36% → multiply by 0.64
Net change = -29.6%
percentage, reasoning

Question 19

Find the missing number in the sequence: 3, 6, 12, ?
The pattern: Each term is multiplied by 2. Therefore, the missing number is 24
pattern, sequence

Question 20

Simplify: 2 + (15 + 12) - 13 - 3
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 13
bodmas, complex
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