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Mathematical Operations - Intermediate Level: operation chains INTERMEDIATE

Boost your speed and accuracy with this adaptive style 📈 worksheet. Worksheet 15 of 30 presents 20 intermediate-level mathematical operations problems. Focus on operation chains while practicing mathematical logic, operation puzzles, symbolic operations. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

📝 Worksheet 15 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 15 of 30 (50% complete)

Question 1

Which two numbers should be interchanged to make the equation 7 - 3 × 2 = 26 correct?
balance, interchange

Question 2

Simplify: 4/8 - (8/2 - 5/7)
Following BODMAS, calculate step by step to get -39/14
fractions, bodmas

Question 3

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

Question 4

If @ means +, $ means -, # means ×, find 11 @ (2 # 11) $ 4
Step 1: (2 × 11) = 22
Step 2: 11 + 22 - 4 = 29
bodmas, brackets

Question 5

If $ means ×, % means ÷, @ means +, # means -, then find the value of (15 @ 15) # 11 % 13
Step 1: (15 + 15) = 30
Step 2: 30 - 11 ÷ 13 = 1.46
substitution, brackets

Question 6

Simplify: (7/5 - 3/12) - 5/8
Following BODMAS, calculate step by step to get 21/40
fractions, bodmas

Question 7

Given $ means ×, # means -, @ means +, % means ÷, which symbols should be interchanged to make 3 % 7 # 13 $ 5 = 71?
The equation is already correct or no single interchange works
interchange, complex

Question 8

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

Question 9

If % means ÷, $ means ×, @ means +, # means -, then find the value of 2 % 6 $ 9
Substitute symbols: 2 ÷ 6 × 9 = 2.97
substitution, basic

Question 10

If % means ÷, @ means +, # means -, $ means ×, then find the value of 18 @ 4 % 12
Substitute symbols: 18 + 4 ÷ 12 = 18
substitution, basic

Question 11

What operator should replace '?' to make 11 ? 9 - 15 = 14?
The correct operator is None because 11 None 9 - 15 = 14
operator, reasoning

Question 12

If # means ×, $ means -, @ means +, find 4 @ (2 # 11) $ 3
Step 1: (2 × 11) = 22
Step 2: 4 + 22 - 3 = 23
bodmas, brackets

Question 13

If @ means +, $ means -, # means ×, find 7 @ (4 # 12) $ 4
Step 1: (4 × 12) = 48
Step 2: 7 + 48 - 4 = 51
bodmas, brackets

Question 14

If @ means +, # means ×, $ means -, find 12 @ (6 # 6) $ 6
Step 1: (6 × 6) = 36
Step 2: 12 + 36 - 6 = 42
bodmas, brackets

Question 15

Simplify: (9 - 9) - (12 × 8) + 15
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -81
bodmas, complex

Question 16

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

Question 17

Simplify: (3/2 - 9/11) + 6/3
Following BODMAS, calculate step by step to get 59/22
fractions, bodmas

Question 18

Which two numbers should be interchanged to make the equation 10 - 5 - 12 = 46 correct?
balance, interchange

Question 19

Find the missing number in the sequence: 2, ?, 6, 8
The pattern: Each term increases by 2. Therefore, the missing number is 4
pattern, sequence

Question 20

Find the missing number in the sequence: ?, 20, 40, 80, 160
The pattern: Each term is multiplied by 2. Therefore, the missing number is 10
pattern, sequence
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