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Mathematical Operations - Expert Level: result prediction EXPERT

Strategic basic drills ★ for mathematical operations: 20 expert-level problems. Worksheet 29 of 30 - Focus: result prediction. Develop expertise in mathematical logic, operation puzzles, symbolic operations with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 29 of 30 (96% complete)

Question 1

Given # means -, % means ÷, @ means +, $ means ×, which symbols should be interchanged to make 13 # 6 $ 7 @ 12 = 63?
The equation is already correct or no single interchange works
interchange, complex

Question 2

Given $ means ×, # means -, @ means +, % means ÷, which symbols should be interchanged to make 14 # 4 @ 7 $ 3 = 34?
The equation is already correct or no single interchange works
interchange, complex

Question 3

Find the missing number in the sequence: 3, 9, 81, ?
The pattern: Each term is multiplied by 3. Therefore, the missing number is 6561
pattern, sequence

Question 4

If $ means ×, # means -, % means ÷, @ means +, then find the value of 6 $ 11 @ 20
Substitute symbols: 6 × 11 + 20 = 86
substitution, basic

Question 5

Find the missing number in the sequence: ?, 21, 63, 189
The pattern: Each term is multiplied by 3. Therefore, the missing number is 7
pattern, sequence

Question 6

Which two numbers should be interchanged to make the equation 3 - 6 × 10 = 30 correct?
balance, interchange

Question 7

If @ means +, $ means -, # means ×, find 2 @ (3 # 6) $ 12
Step 1: (3 × 6) = 18
Step 2: 2 + 18 - 12 = 8
bodmas, brackets

Question 8

What operator should replace '?' to make 5 ? 20 + 11 = 95?
The correct operator is None because 5 None 20 + 11 = 95
operator, reasoning

Question 9

Simplify: (8 ÷ 11) × (10 ÷ 13) - 8
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -7.44
bodmas, complex

Question 10

If # means -, % means ÷, @ means +, $ means ×, then find the value of 15 % 16 # 3
Substitute symbols: 15 ÷ 16 - 3 = -2.06
substitution, basic

Question 11

Simplify: (7/7 - 5/4) + 5/5
Following BODMAS, calculate step by step to get 3/4
fractions, bodmas

Question 12

Simplify: 2/6 - (10/8 + 3/10)
Following BODMAS, calculate step by step to get -73/60
fractions, bodmas

Question 13

A value increases by 19% and then decreases by 12%. What is the net percentage change?
Step 1: increase by 19% → multiply by 1.19
Step 2: decrease by 12% → multiply by 0.88
Net change = 4.7%
percentage, reasoning

Question 14

A value increases by 48% and then increases by 25%. What is the net percentage change?
Step 1: increase by 48% → multiply by 1.48
Step 2: increase by 25% → multiply by 1.25
Net change = 85.0%
percentage, reasoning

Question 15

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

Question 16

Simplify: 2 ÷ (3 + 12) - 7 + 14
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 7.13
bodmas, complex

Question 17

Simplify: 10/4 + (7/9 - 1/10)
Following BODMAS, calculate step by step to get 143/45
fractions, bodmas

Question 18

A value increases by 23% and then decreases by 44%. What is the net percentage change?
Step 1: increase by 23% → multiply by 1.23
Step 2: decrease by 44% → multiply by 0.56
Net change = -31.1%
percentage, reasoning

Question 19

If @ means +, # means -, % means ÷, $ means ×, then find the value of (14 @ 15) # 2 % 12
Step 1: (14 + 15) = 29
Step 2: 29 - 2 ÷ 12 = 2.25
substitution, brackets

Question 20

If $ means ×, % means ÷, # means -, @ means +, then find the value of (8 % 10) $ 10 @ 9
Step 1: (8 ÷ 10) = 0.8
Step 2: 0.8 × 10 + 9 = 17.0
substitution, brackets
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