Ratios
Vocabulary
x% of y
% word problems
Challenge Problems
100

The ratio of 4 to 0. 

What is 4:0? 

100

A rate with denominator of 1. 

What is a unit rate? 

100

36% of 80 is what number? 

28.8

100

The percentage of students who failed the math test if there were 35 students in the class and 5 failed. 

14%

100

140% of what is 60? 

42.86

200

The ratio of the Toronto Raptors' 2021-2022 season if they won 48 games in a 82 game season. 

What is 48:82. 


200

A quotient of two or more quantities with the same units. 

What is a ratio? 

200

120% of 65 is what? 

78

200

The percentage increase of gasoline if it was $1.49/L in May 2021 vs. $2.22/L in May 2022. 

49%

200

What percent of 7.5 is 10.5? 

140%

300

The unit rate of chips if there is a deal offering 3 bags for $5.

$5 / 3 bags = $1.67 / 1 bag

3 bags / $5 = 0.6 bags / $1

300

Two ratios or rates that are equal.

What is a proportion. 

300

What percent of 20 is 45? 

225%

300

How much do you save from 15% off of $25.99? 

$3.90

300

Mr. Yuen deposits $5000 in a bank account paying 3% interest annually. How much does he have in the account, if left untouched, after 5 years? 

$5796.37

400

The ratio of $5 to 25 cents. 

What is 20 cents: 1 cent? 

400

Method used to verify ratios to be proportional.

What is cross multiply. 

400

92 is what percent of 80? 

115%

400

What is the total GST (5%) and PST (7%) on Simu Liu's book, "We Were Dreamers: An Immigrant Superhero Origin Story" costing $25? 

$3

400

An item was on sale for 15% off, then had an additional discount of 30% off. What is the percent of the total discount for the item? 

41%

500

The exchange rate of Canadian dollars to Euros if on March 4, 2011, it cost $3400 CAN to buy 2500 Euros. 

$3400 CAN:2500 Euro or

$1 CAN:0.74 EURO or 

$1.36 CAN:$1 EURO

500

Paying interest on top of previous interest payments. 

What is compound interest. 

500

10.4 is what percent of 16.3? 

63.8%

500

The final cost (including GST and PST) of an Ikea Egg Chair costing $89. 

$99.68

500

What combined percentage increase or decrease is the same as a 14% decrease then a 30% increase? 

11.8% increase. 

Solution: 

0.86*1.3 = 1.118 - 1 = 0.118 = 11.8% 

M
e
n
u