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Mathematical Operations - Beginner-Intermediate Level: bodmas rules BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level mathematical operations problems. Worksheet 11 of 30 focuses on bodmas rules. Practice arithmetic operations, mathematical reasoning, operation rules with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 11 of 30 (36% complete)

Question 1

If @ means +, % means ÷, $ means ×, # means -, then find the value of (7 % 11) # 12 $ 6
Step 1: (7 ÷ 11) = 0.64
Step 2: 0.64 - 12 × 6 = -68.16
substitution, brackets

Question 2

Simplify: 4/6 + (3/8 + 4/6)
Following BODMAS, calculate step by step to get 41/24
fractions, bodmas

Question 3

A value decreases by 36% and then increases by 24%. What is the net percentage change?
Step 1: decrease by 36% → multiply by 0.64
Step 2: increase by 24% → multiply by 1.24
Net change = -20.6%
percentage, reasoning

Question 4

A value increases by 47% and then increases by 41%. What is the net percentage change?
Step 1: increase by 47% → multiply by 1.47
Step 2: increase by 41% → multiply by 1.41
Net change = 107.3%
percentage, reasoning

Question 5

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

Question 6

What operator should replace '?' to make 11 × 5 ? 19 = 78?
The correct operator is None because 11 × 5 None 19 = 78
operator, reasoning

Question 7

If % means ÷, $ means ×, @ means +, # means -, then find the value of 10 # 14 $ 10
Substitute symbols: 10 - 14 × 10 = -130
substitution, basic

Question 8

What operator should replace '?' to make 19 ? 7 × 7 = 43?
The correct operator is None because 19 None 7 × 7 = 43
operator, reasoning

Question 9

If @ means +, # means ×, $ means -, find 6 @ (10 # 12) $ 8
Step 1: (10 × 12) = 120
Step 2: 6 + 120 - 8 = 118
bodmas, brackets

Question 10

Given # means -, @ means +, % means ÷, $ means ×, which symbols should be interchanged to make 9 @ 12 # 14 $ 4 = 25?
The equation is already correct or no single interchange works
interchange, complex

Question 11

Given @ means +, % means ÷, # means -, $ means ×, which symbols should be interchanged to make 15 $ 14 # 11 % 13 = 55?
The equation is already correct or no single interchange works
interchange, complex

Question 12

Find the missing number in the sequence: 6, 36, 1296, 1679616, ?
The pattern: Each term is the square of the previous. Therefore, the missing number is 2821109907456
pattern, sequence

Question 13

Which two numbers should be interchanged to make the equation 11 - 2 + 3 = 47 correct?
balance, interchange

Question 14

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

Question 15

A value increases by 23% and then increases by 11%. What is the net percentage change?
Step 1: increase by 23% → multiply by 1.23
Step 2: increase by 11% → multiply by 1.11
Net change = 36.5%
percentage, reasoning

Question 16

If $ means -, # means ×, @ means +, find 11 @ (6 # 9) $ 10
Step 1: (6 × 9) = 54
Step 2: 11 + 54 - 10 = 55
bodmas, brackets

Question 17

Simplify: 6/10 + (3/8 + 3/8)
Following BODMAS, calculate step by step to get 27/20
fractions, bodmas

Question 18

Simplify: (3/6 + 5/7) ÷ 1/8
Following BODMAS, calculate step by step to get 68/7
fractions, bodmas

Question 19

Find the missing number in the sequence: 8, ?, 32, 64, 128
The pattern: Each term is multiplied by 2. Therefore, the missing number is 16
pattern, sequence

Question 20

Simplify: (8/10 + 3/3) + 3/4
Following BODMAS, calculate step by step to get 51/20
fractions, bodmas
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