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Mathematical Operations - Expert Level: operation chains EXPERT

Intensive progress check 🎯 drill: 20 expert-level mathematical operations questions. Worksheet 30 of 30 hones your operation chains abilities. Practice operation puzzles, symbolic operations, arithmetic operations under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 30 of 30 (100% complete)

Question 1

Find the missing number in the sequence: 6, ?, 16, 21, 26, 31
The pattern: Each term increases by 5. Therefore, the missing number is 11
pattern, sequence

Question 2

What operator should replace '?' to make 20 ? 6 - 2 = 27?
The correct operator is None because 20 None 6 - 2 = 27
operator, reasoning

Question 3

A value increases by 43% and then decreases by 15%. What is the net percentage change?
Step 1: increase by 43% → multiply by 1.43
Step 2: decrease by 15% → multiply by 0.85
Net change = 21.5%
percentage, reasoning

Question 4

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

Question 5

Find the missing number in the sequence: 6, ?, 24, 48, 96, 192
The pattern: Each term is multiplied by 2. Therefore, the missing number is 12
pattern, sequence

Question 6

If # means -, $ means ×, @ means +, % means ÷, then find the value of 12 % 20 @ 9
Substitute symbols: 12 ÷ 20 + 9 = 9.6
substitution, basic

Question 7

What operator should replace '?' to make 16 × 2 ? 9 = 25?
The correct operator is None because 16 × 2 None 9 = 25
operator, reasoning

Question 8

Simplify: 7/9 - (1/6 ÷ 8/6)
Following BODMAS, calculate step by step to get 47/72
fractions, bodmas

Question 9

Which two numbers should be interchanged to make the equation 7 - 5 - 7 = 41 correct?
balance, interchange

Question 10

Simplify: (7/10 - 6/8) + 6/9
Following BODMAS, calculate step by step to get 37/60
fractions, bodmas

Question 11

If # means ×, $ means -, @ means +, find 2 @ (12 # 7) $ 8
Step 1: (12 × 7) = 84
Step 2: 2 + 84 - 8 = 78
bodmas, brackets

Question 12

What operator should replace '?' to make 16 ? 20 - 17 = 94?
The correct operator is None because 16 None 20 - 17 = 94
operator, reasoning

Question 13

If $ means -, # means ×, @ means +, find 7 @ (11 # 11) $ 10
Step 1: (11 × 11) = 121
Step 2: 7 + 121 - 10 = 118
bodmas, brackets

Question 14

A value decreases by 36% and then decreases by 24%. What is the net percentage change?
Step 1: decrease by 36% → multiply by 0.64
Step 2: decrease by 24% → multiply by 0.76
Net change = -51.4%
percentage, reasoning

Question 15

If $ means -, # means ×, @ means +, find 4 @ (5 # 5) $ 10
Step 1: (5 × 5) = 25
Step 2: 4 + 25 - 10 = 19
bodmas, brackets

Question 16

If # means ×, @ means +, $ means -, find 11 @ (3 # 2) $ 10
Step 1: (3 × 2) = 6
Step 2: 11 + 6 - 10 = 7
bodmas, brackets

Question 17

Which two numbers should be interchanged to make the equation 5 - 8 × 3 = 46 correct?
balance, interchange

Question 18

What operator should replace '?' to make 2 ? 11 ÷ 13 = 76?
The correct operator is None because 2 None 11 ÷ 13 = 76
operator, reasoning

Question 19

Simplify: (15 - 3) + (9 - 7) + 4
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 18
bodmas, complex

Question 20

If $ means ×, @ means +, # means -, % means ÷, then find the value of (9 % 3) # 2 $ 6
Step 1: (9 ÷ 3) = 3
Step 2: 3 - 2 × 6 = 6
substitution, brackets
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