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Mathematical Operations - Intermediate Level: mathematical logic INTERMEDIATE

Master mathematical operations concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into mathematical logic while learning operation puzzles, symbolic operations, arithmetic operations. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 16 of 30 (53% complete)

Question 1

If % means ÷, $ means ×, @ means +, # means -, then find the value of 17 # 19 $ 13
Substitute symbols: 17 - 19 × 13 = -230
substitution, basic

Question 2

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

Question 3

Given # means -, @ means +, $ means ×, % means ÷, which symbols should be interchanged to make 9 % 8 # 14 @ 7 = 51?
The equation is already correct or no single interchange works
interchange, complex

Question 4

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

Question 5

Simplify: (11 + 8) ÷ (6 + 15) - 15
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -14.10
bodmas, complex

Question 6

A value decreases by 11% and then decreases by 35%. What is the net percentage change?
Step 1: decrease by 11% → multiply by 0.89
Step 2: decrease by 35% → multiply by 0.65
Net change = -42.1%
percentage, reasoning

Question 7

If % means ÷, $ means ×, # means -, @ means +, then find the value of (9 % 9) @ 12 $ 3
Step 1: (9 ÷ 9) = 1
Step 2: 1 + 12 × 3 = 39
substitution, brackets

Question 8

Simplify: 7/8 - (9/10 × 3/6)
Following BODMAS, calculate step by step to get 17/40
fractions, bodmas

Question 9

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

Question 10

Which two numbers should be interchanged to make the equation 7 + 8 - 8 = 34 correct?
balance, interchange

Question 11

If # means -, $ means ×, % means ÷, @ means +, then find the value of 8 # 15 @ 17
Substitute symbols: 8 - 15 + 17 = 10
substitution, basic

Question 12

Simplify: 3 + (15 - (3 - 4) × 4)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 4
bodmas, complex

Question 13

Which two numbers should be interchanged to make the equation 3 - 3 - 3 = 17 correct?
balance, interchange

Question 14

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

Question 15

Which two numbers should be interchanged to make the equation 6 × 10 - 10 = 48 correct?
balance, interchange

Question 16

Which two numbers should be interchanged to make the equation 3 - 2 + 6 = 33 correct?
balance, interchange

Question 17

Simplify: 6 + (2 + (14 + 12) + 9)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 32
bodmas, complex

Question 18

Simplify: 2 + (10 + (3 × 9) × 3)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 29
bodmas, complex

Question 19

Find the missing number in the sequence: 1, ?, 9, 27, 81
The pattern: Each term increases by 2. Therefore, the missing number is 3
pattern, sequence

Question 20

Given $ means ×, % means ÷, @ means +, # means -, which symbols should be interchanged to make 5 # 14 @ 6 % 4 = 71?
The equation is already correct or no single interchange works
interchange, complex
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