Unit 5 Advanced Worksheet

Ratios & Proportional Relationships - 20 Challenging Questions

Basic Level

Unit 5: Ratios & Proportional Relationships - Advanced Level

Practice worksheet with interactive questions

20 Questions•20-30 minutes

Instructions

Read each question carefully before answering
Take your time to think through each problem
You can change your answers before submitting
Click "Submit Answers" to see your results
Use hints if you need help understanding a question

Question 1

Word Problem

Recipe ratio: flour:sugar:butter = 4:2:1. You have 12 cups flour. How much sugar and butter total?

💡 Hint

Find scale factor first, then apply to other parts

Question 2

Multiple Choice

Store A: $120 with 25% off. Store B: $100 with 15% off. Which is cheaper and by how much?

Question 3

Fill In Blank

Trail mix: nuts:raisins:chocolate = 5:3:2. For 40 oz total, nuts = ___ oz

💡 Hint

Find total parts, then calculate fraction

Question 4

Word Problem

Map scale 1:250,000. Two cities are 8 cm apart on map. Real distance in km? (1 cm = 2.5 km)

💡 Hint

Multiply map distance by scale factor

Question 5

True False

A $200 item with successive discounts of 20% then 10% costs the same as a single 30% discount.

Question 6

Multiple Choice

Solve: (x+2)/5 = 6/3

Question 7

Word Problem

$500 invested at 6% annual simple interest. After 3 years, what's total balance?

💡 Hint

Calculate interest, then add to principal

Question 8

Fill In Blank

You earn $240, budget 25% savings, 15% charity, 40% needs. Wants = $___

💡 Hint

Calculate remaining percentage after other allocations

Question 9

Word Problem

Two workers finish job in 12 days. Working at same rate, how many days for 3 workers?

💡 Hint

More workers = less time (inverse relationship)

Question 10

Multiple Choice

Currency: 1 EUR = 1.18 USD. You have 250 EUR. How many USD?

Question 11

True False

If prices increase 50% then decrease 50%, you end up at the original price.

Question 12

Fill In Blank

Shadow proportions: 5 ft pole → 3 ft shadow. Tree → 21 ft shadow. Tree height = ___ ft

💡 Hint

Set up proportion and cross-multiply

Question 13

Word Problem

Compound interest: $400 at 5% annual. After 2 years, what's total? (Interest compounds annually)

💡 Hint

Apply interest rate twice

Question 14

Multiple Choice

Paint mix: 3 parts blue, 2 parts yellow, 1 part white makes 18 liters. How much blue?

Question 15

Word Problem

You need $800. You've saved $350. At $25/week, how many more weeks to reach goal?

💡 Hint

Find remaining amount, then divide by weekly savings

Question 16

Fill In Blank

Concert tickets: early bird $45 (30% off). Regular price = $___

💡 Hint

Work backwards from discount price

Question 17

True False

Three ratios equivalent to 2:5 are 4:10, 6:15, and 8:20.

Question 18

Multiple Choice

Investment doubles in value. What's the percent increase?

Question 19

Word Problem

Budget ratio: savings:spending = 3:7. Income $500. After 6 months, total savings?

💡 Hint

Find monthly savings, then multiply by 6

Question 20

Fill In Blank

Sales tax 7.5%. Item costs $80 before tax. Total with tax = $___

💡 Hint

Calculate tax, then add to original price

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