Ratios & Proportional Relationships - 20 Challenging Questions
Practice worksheet with interactive questions
A recipe for 6 servings uses 2 2/3 cups flour. How much flour for 15 servings?
Convert mixed number to improper fraction first
Ratio of boys to girls is 3:5. There are 24 boys. What's the ratio of girls to total students?
Three numbers in ratio 2:3:5. Sum is 60. Middle number = ___
Find value of one part first
Population increased from 8,000 to 10,400. Find percent increase.
Calculate the increase amount first
If x/5 = 12/20, then x must equal 3.
Store marks up 40%, then offers 25% discount. Item cost $50. Final price?
Scale 1:2,500. Real distance 7.5 km. Distance on map in centimeters?
Convert to same units first
Solve: 2.5/x = 5/14. x = ___
Use cross-multiplication
The ratios 15:25, 6:10, and 3:5 are all equivalent.
Two workers: A completes job in 6 hours, B in 4 hours. Working together, how long?
Add their rates together
15% of a number is 24. What's 40% of the same number?
Ratio a:b:c = 4:5:6. If b = 35, then a + c = ___
Find the value of one part
Price $80 after 20% discount. What was original price?
Work backwards from the discount
If a/b = c/d, then ad = bc (cross products are equal).
Map: 3 cm = 12 km. Actual area is 48 km². Area on map?
Investment grows 8% yearly. Starting $500, value after 2 years?
Apply 8% growth twice
Compare 5/8 and 62%. Which is larger? ___
Convert both to same format
A 50% increase followed by a 50% decrease returns to original value.
Three pipes fill tank: A in 12 hrs, B in 15 hrs, C in 20 hrs. All together, how long?
Add all three rates
Ratio of angles in triangle is 2:3:4. What's the largest angle?
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