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Percentage Reasoning - Intermediate Level: tricky scenarios handling Percentage Reasoning INTERMEDIATE

This expert challenge 📈 worksheet focuses on Percentage Reasoning - a key topic in Mathematical Operations. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve percentage reasoning, percentage reasoning tricks, and percentage reasoning shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Percentage Reasoning
Worksheet 5 of 10 (44% complete)

Question 1

A value decreases by 24% and then increases by 32%. What is the net percentage change?
Step 1: decrease by 24% → multiply by 0.76
Step 2: increase by 32% → multiply by 1.32
Net change = 0.3%

Question 2

A value decreases by 37% and then increases by 32%. What is the net percentage change?
Step 1: decrease by 37% → multiply by 0.63
Step 2: increase by 32% → multiply by 1.32
Net change = -16.8%

Question 3

A value increases by 50% and then decreases by 12%. What is the net percentage change?
Step 1: increase by 50% → multiply by 1.5
Step 2: decrease by 12% → multiply by 0.88
Net change = 32.0%

Question 4

A value decreases by 30% and then decreases by 34%. What is the net percentage change?
Step 1: decrease by 30% → multiply by 0.7
Step 2: decrease by 34% → multiply by 0.6599999999999999
Net change = -53.8%

Question 5

A value decreases by 12% and then increases by 40%. What is the net percentage change?
Step 1: decrease by 12% → multiply by 0.88
Step 2: increase by 40% → multiply by 1.4
Net change = 23.2%

Question 6

A value decreases by 41% and then decreases by 26%. What is the net percentage change?
Step 1: decrease by 41% → multiply by 0.5900000000000001
Step 2: decrease by 26% → multiply by 0.74
Net change = -56.3%

Question 7

A value decreases by 50% and then increases by 17%. What is the net percentage change?
Step 1: decrease by 50% → multiply by 0.5
Step 2: increase by 17% → multiply by 1.17
Net change = -41.5%

Question 8

A value increases by 32% and then increases by 34%. What is the net percentage change?
Step 1: increase by 32% → multiply by 1.32
Step 2: increase by 34% → multiply by 1.34
Net change = 76.9%

Question 9

A value increases by 16% and then increases by 41%. What is the net percentage change?
Step 1: increase by 16% → multiply by 1.16
Step 2: increase by 41% → multiply by 1.41
Net change = 63.6%

Question 10

A value increases by 46% and then increases by 24%. What is the net percentage change?
Step 1: increase by 46% → multiply by 1.46
Step 2: increase by 24% → multiply by 1.24
Net change = 81.0%

Question 11

A value increases by 50% and then increases by 37%. What is the net percentage change?
Step 1: increase by 50% → multiply by 1.5
Step 2: increase by 37% → multiply by 1.37
Net change = 105.5%

Question 12

A value increases by 29% and then decreases by 49%. What is the net percentage change?
Step 1: increase by 29% → multiply by 1.29
Step 2: decrease by 49% → multiply by 0.51
Net change = -34.2%

Question 13

A value decreases by 19% and then increases by 43%. What is the net percentage change?
Step 1: decrease by 19% → multiply by 0.81
Step 2: increase by 43% → multiply by 1.43
Net change = 15.8%

Question 14

A value decreases by 50% and then increases by 15%. What is the net percentage change?
Step 1: decrease by 50% → multiply by 0.5
Step 2: increase by 15% → multiply by 1.15
Net change = -42.5%

Question 15

A value decreases by 11% and then decreases by 20%. What is the net percentage change?
Step 1: decrease by 11% → multiply by 0.89
Step 2: decrease by 20% → multiply by 0.8
Net change = -28.8%

Question 16

A value decreases by 47% and then increases by 38%. What is the net percentage change?
Step 1: decrease by 47% → multiply by 0.53
Step 2: increase by 38% → multiply by 1.38
Net change = -26.9%

Question 17

A value increases by 38% and then increases by 10%. What is the net percentage change?
Step 1: increase by 38% → multiply by 1.38
Step 2: increase by 10% → multiply by 1.1
Net change = 51.8%

Question 18

A value increases by 29% and then increases by 49%. What is the net percentage change?
Step 1: increase by 29% → multiply by 1.29
Step 2: increase by 49% → multiply by 1.49
Net change = 92.2%

Question 19

A value increases by 36% and then decreases by 13%. What is the net percentage change?
Step 1: increase by 36% → multiply by 1.3599999999999999
Step 2: decrease by 13% → multiply by 0.87
Net change = 18.3%

Question 20

A value increases by 39% and then increases by 13%. What is the net percentage change?
Step 1: increase by 39% → multiply by 1.3900000000000001
Step 2: increase by 13% → multiply by 1.13
Net change = 57.1%
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