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Mathematical Operations - Advanced Level: bodmas rules ADVANCED

Master mathematical operations concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into bodmas rules while learning mathematical reasoning, operation rules, calculation puzzles. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 26 of 30 (86% complete)

Question 1

Find the missing number in the sequence: 2, 4, 16, ?
The pattern: Each term increases by 2. Therefore, the missing number is 256
pattern, sequence

Question 2

Which two numbers should be interchanged to make the equation 2 + 11 - 6 = 26 correct?
balance, interchange

Question 3

Given $ means ×, # means -, @ means +, % means ÷, which symbols should be interchanged to make 7 @ 12 $ 12 # 12 = 23?
The equation is already correct or no single interchange works
interchange, complex

Question 4

If # means ×, $ means -, @ means +, find 10 @ (4 # 2) $ 3
Step 1: (4 × 2) = 8
Step 2: 10 + 8 - 3 = 15
bodmas, brackets

Question 5

Given % means ÷, @ means +, $ means ×, # means -, which symbols should be interchanged to make 5 $ 3 # 7 @ 12 = 37?
The equation is already correct or no single interchange works
interchange, complex

Question 6

What operator should replace '?' to make 14 ÷ 12 ? 6 = 58?
The correct operator is None because 14 ÷ 12 None 6 = 58
operator, reasoning

Question 7

Which two numbers should be interchanged to make the equation 10 - 11 + 12 = 30 correct?
balance, interchange

Question 8

Which two numbers should be interchanged to make the equation 5 + 3 × 2 = 34 correct?
balance, interchange

Question 9

Simplify: (14 ÷ 12) ÷ (11 × 12) ÷ 12
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 0
bodmas, complex

Question 10

Simplify: (3 - 9) × (13 + 7) ÷ 15
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -8
bodmas, complex

Question 11

If $ means ×, # means -, @ means +, % means ÷, then find the value of (14 @ 2) # 14 % 4
Step 1: (14 + 2) = 16
Step 2: 16 - 14 ÷ 4 = 0.5
substitution, brackets

Question 12

Find the missing number in the sequence: 5, 10, ?, 20
The pattern: Each term increases by 5. Therefore, the missing number is 15
pattern, sequence

Question 13

Given @ means +, $ means ×, # means -, % means ÷, which symbols should be interchanged to make 6 @ 15 # 12 $ 12 = 65?
The equation is already correct or no single interchange works
interchange, complex

Question 14

If @ means +, $ means ×, # means -, % means ÷, then find the value of 18 # 9 % 17
Substitute symbols: 18 - 9 ÷ 17 = 18
substitution, basic

Question 15

A value increases by 47% and then increases by 34%. What is the net percentage change?
Step 1: increase by 47% → multiply by 1.47
Step 2: increase by 34% → multiply by 1.34
Net change = 97.0%
percentage, reasoning

Question 16

If # means -, % means ÷, @ means +, $ means ×, then find the value of (15 # 14) @ 3 $ 5
Step 1: (15 - 14) = 1
Step 2: 1 + 3 × 5 = 20
substitution, brackets

Question 17

What operator should replace '?' to make 8 ? 20 × 5 = 95?
The correct operator is None because 8 None 20 × 5 = 95
operator, reasoning

Question 18

If # means ×, $ means -, @ means +, find 12 @ (7 # 8) $ 3
Step 1: (7 × 8) = 56
Step 2: 12 + 56 - 3 = 65
bodmas, brackets

Question 19

If % means ÷, # means -, @ means +, $ means ×, then find the value of (6 @ 11) $ 14 # 9
Step 1: (6 + 11) = 17
Step 2: 17 × 14 - 9 = 229
substitution, brackets

Question 20

Simplify: 4/4 - (2/10 ÷ 7/10)
Following BODMAS, calculate step by step to get 5/7
fractions, bodmas
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