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Mathematical Operations - Beginner Level: symbolic operations BEGINNER

Exam-focused quick revision round worksheet: 20 beginner-level mathematical operations questions. Worksheet 3 of 30 targets symbolic operations. Build proficiency in symbolic operations, arithmetic operations, mathematical reasoning with detailed solutions. Ideal for entry-level competitive exam preparation.

📝 Worksheet 3 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 3 of 30 (10% complete)

Question 1

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

Question 2

Which two numbers should be interchanged to make the equation 7 × 11 × 4 = 18 correct?
balance, interchange

Question 3

Simplify: (8/6 - 4/8) × 1/6
Following BODMAS, calculate step by step to get 5/36
fractions, bodmas

Question 4

Simplify: (5/5 + 1/8) ÷ 2/2
Following BODMAS, calculate step by step to get 9/8
fractions, bodmas

Question 5

A value increases by 41% and then increases by 18%. What is the net percentage change?
Step 1: increase by 41% → multiply by 1.41
Step 2: increase by 18% → multiply by 1.18
Net change = 66.4%
percentage, reasoning

Question 6

A value decreases by 27% and then increases by 36%. What is the net percentage change?
Step 1: decrease by 27% → multiply by 0.73
Step 2: increase by 36% → multiply by 1.3599999999999999
Net change = -0.7%
percentage, reasoning

Question 7

Simplify: (3 × 13) × (13 - 11) + 3
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 81
bodmas, complex

Question 8

Find the missing number in the sequence: 4, ?, 256, 65536, 4294967296, 18446744073709551616
The pattern: Each term is the square of the previous. Therefore, the missing number is 16
pattern, sequence

Question 9

What operator should replace '?' to make 8 × 17 ? 17 = 50?
The correct operator is None because 8 × 17 None 17 = 50
operator, reasoning

Question 10

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

Question 11

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

Question 12

A value decreases by 32% and then increases by 12%. What is the net percentage change?
Step 1: decrease by 32% → multiply by 0.6799999999999999
Step 2: increase by 12% → multiply by 1.12
Net change = -23.8%
percentage, reasoning

Question 13

A value decreases by 26% and then decreases by 14%. What is the net percentage change?
Step 1: decrease by 26% → multiply by 0.74
Step 2: decrease by 14% → multiply by 0.86
Net change = -36.4%
percentage, reasoning

Question 14

A value decreases by 33% and then decreases by 25%. What is the net percentage change?
Step 1: decrease by 33% → multiply by 0.6699999999999999
Step 2: decrease by 25% → multiply by 0.75
Net change = -49.8%
percentage, reasoning

Question 15

Given $ means ×, % means ÷, @ means +, # means -, which symbols should be interchanged to make 9 # 15 % 10 @ 10 = 54?
The equation is already correct or no single interchange works
interchange, complex

Question 16

If $ means ×, % means ÷, # means -, @ means +, then find the value of 10 # 15 $ 12
Substitute symbols: 10 - 15 × 12 = -170
substitution, basic

Question 17

Which two numbers should be interchanged to make the equation 4 - 7 - 10 = 39 correct?
balance, interchange

Question 18

Which two numbers should be interchanged to make the equation 4 - 11 + 2 = 48 correct?
balance, interchange

Question 19

Find the missing number in the sequence: 4, 6, 8, ?
The pattern: Each term increases by 2. Therefore, the missing number is 10
pattern, sequence

Question 20

If $ means ×, @ means +, # means -, % means ÷, then find the value of (4 % 13) $ 9 # 10
Step 1: (4 ÷ 13) = 0.31
Step 2: 0.31 × 9 - 10 = -7.21
substitution, brackets
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