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Mathematical Operations - Intermediate Level: result prediction INTERMEDIATE

Level up your mathematical operations skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: result prediction. Learn calculation puzzles, mathematical manipulation, operational logic through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Mathematical Operations
Worksheet 14 of 30 (46% complete)

Question 1

What operator should replace '?' to make 4 - 13 ? 14 = 34?
The correct operator is None because 4 - 13 None 14 = 34
operator, reasoning

Question 2

If $ means -, # means ×, @ means +, find 9 @ (11 # 4) $ 3
Step 1: (11 × 4) = 44
Step 2: 9 + 44 - 3 = 50
bodmas, brackets

Question 3

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

Question 4

Simplify: (10/11 + 2/3) ÷ 3/9
Following BODMAS, calculate step by step to get 52/11
fractions, bodmas

Question 5

Simplify: 2 - (10 × 7) - 14 ÷ 8
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get -69.75
bodmas, complex

Question 6

Simplify: 15 + (4 × (7 ÷ 4) × 13)
Apply BODMAS: brackets first, then multiplication/division, then addition/subtraction to get 15
bodmas, complex

Question 7

Which two numbers should be interchanged to make the equation 12 + 4 + 5 = 22 correct?
balance, interchange

Question 8

Simplify: (8/6 - 4/10) - 1/2
Following BODMAS, calculate step by step to get 13/30
fractions, bodmas

Question 9

Find the missing number in the sequence: 4, ?, 14, 19
The pattern: Each term increases by 5. Therefore, the missing number is 9
pattern, sequence

Question 10

If # means -, % means ÷, @ means +, $ means ×, then find the value of 7 $ 10 # 13
Substitute symbols: 7 × 10 - 13 = 57
substitution, basic

Question 11

A value increases by 16% and then increases by 27%. What is the net percentage change?
Step 1: increase by 16% → multiply by 1.16
Step 2: increase by 27% → multiply by 1.27
Net change = 47.3%
percentage, reasoning

Question 12

If # means -, $ means ×, % means ÷, @ means +, then find the value of (10 @ 6) $ 7 # 8
Step 1: (10 + 6) = 16
Step 2: 16 × 7 - 8 = 104
substitution, brackets

Question 13

If $ means ×, @ means +, % means ÷, # means -, then find the value of (14 @ 8) # 7 % 8
Step 1: (14 + 8) = 22
Step 2: 22 - 7 ÷ 8 = 1.88
substitution, brackets

Question 14

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

Question 15

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

Question 16

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

Question 17

If @ means +, $ means -, # means ×, find 5 @ (3 # 8) $ 10
Step 1: (3 × 8) = 24
Step 2: 5 + 24 - 10 = 19
bodmas, brackets

Question 18

If $ means ×, # means -, % means ÷, @ means +, then find the value of 12 % 3 @ 11
Substitute symbols: 12 ÷ 3 + 11 = 15
substitution, basic

Question 19

Given $ means ×, % means ÷, # means -, @ means +, which symbols should be interchanged to make 13 # 15 @ 6 % 10 = 65?
The equation is already correct or no single interchange works
interchange, complex

Question 20

A value increases by 15% and then increases by 14%. What is the net percentage change?
Step 1: increase by 15% → multiply by 1.15
Step 2: increase by 14% → multiply by 1.1400000000000001
Net change = 31.1%
percentage, reasoning
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