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Mathematical Operations - Advanced Level: operational logic ADVANCED

Level up your mathematical operations skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: operational logic. Learn symbolic operations, arithmetic operations, mathematical reasoning through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 24 of 30 (80% complete)

Question 1

Find the missing number in the sequence: 9, 18, 36, 72, 144, ?
The pattern: Each term is multiplied by 2. Therefore, the missing number is 288
pattern, sequence

Question 2

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

Question 3

Which two numbers should be interchanged to make the equation 5 - 8 - 12 = 17 correct?
balance, interchange

Question 4

What operator should replace '?' to make 3 ÷ 7 ? 14 = 86?
The correct operator is None because 3 ÷ 7 None 14 = 86
operator, reasoning

Question 5

If % means ÷, # means -, @ means +, $ means ×, then find the value of (9 # 12) % 10 $ 10
Step 1: (9 - 12) = -3
Step 2: -3 ÷ 10 × 10 = -3.0
substitution, brackets

Question 6

Which two numbers should be interchanged to make the equation 8 + 8 - 3 = 23 correct?
balance, interchange

Question 7

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

Question 8

If @ means +, # means -, $ means ×, % means ÷, then find the value of 17 $ 20 # 20
Substitute symbols: 17 × 20 - 20 = 320
substitution, basic

Question 9

Find the missing number in the sequence: 10, ?, 14, 16
The pattern: Each term increases by 2. Therefore, the missing number is 12
pattern, sequence

Question 10

Which two numbers should be interchanged to make the equation 3 - 6 × 11 = 45 correct?
balance, interchange

Question 11

Find the missing number in the sequence: 2, 4, 8, ?, 32
The pattern: Each term increases by 2. Therefore, the missing number is 16
pattern, sequence

Question 12

If @ means +, # means ×, $ means -, find 8 @ (8 # 9) $ 12
Step 1: (8 × 9) = 72
Step 2: 8 + 72 - 12 = 68
bodmas, brackets

Question 13

A value decreases by 44% and then decreases by 28%. What is the net percentage change?
Step 1: decrease by 44% → multiply by 0.56
Step 2: decrease by 28% → multiply by 0.72
Net change = -59.7%
percentage, reasoning

Question 14

What operator should replace '?' to make 20 ? 16 + 7 = 40?
The correct operator is None because 20 None 16 + 7 = 40
operator, reasoning

Question 15

Given $ means ×, @ means +, # means -, % means ÷, which symbols should be interchanged to make 15 # 7 $ 8 % 6 = 55?
The equation is already correct or no single interchange works
interchange, complex

Question 16

Simplify: (12 - 12) × (4 × 14) ÷ 4
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 0
bodmas, complex

Question 17

What operator should replace '?' to make 19 - 14 ? 3 = 29?
The correct operator is None because 19 - 14 None 3 = 29
operator, reasoning

Question 18

If $ means -, # means ×, @ means +, find 8 @ (5 # 10) $ 8
Step 1: (5 × 10) = 50
Step 2: 8 + 50 - 8 = 50
bodmas, brackets

Question 19

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

Question 20

Given # means -, % means ÷, @ means +, $ means ×, which symbols should be interchanged to make 4 $ 15 @ 11 # 4 = 61?
The equation is already correct or no single interchange works
interchange, complex
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