SBI-Ratio

Question 1

Given the ratio between quantities, and one of them.

How to get other quantities?

Answer 1

use Ratio = compared/base to calculate ratio

use compared = Ratio x base to calculate compared

use base = compared/Ratio to calculate ratio

Question 2

Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts?

Question 3

In a small business, 40 of the employees are men and 30 of the employees are women. What is ratio of women to men?

Question 4

Suppose the width of a soccer field 60 meters and the length is 100 meters. What is the ratio in simplest form of the length to the area of the field?

Question 5

A geometry test has 30 questions. 6 of the 30 questions are based on chapter 5. What is the ratio of questions from chapter 5 to the other questions on the test?

Question 6

The length of a rectangular garden is 20 feet and the width is 15 feet. What is ratio of length to width?

Question 7

Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumes in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to total number of students in the class still the same?

Question 8

A group of preschoolers has 10 boys and 26 girls. What is the ratio of girls to all children?

Question 9

A bicycling club has 28 members, of which 12 are males and the rest are females. What is the ratio of females to all club members?

Question 10

A herd of 19 horses has 2 white and some black horses. What is the ratio of black horses to white horses?

Question 11

The ratio of girls to boys in a swimming club was 3 : 4. There were 15 girls. How many total members were there in the club?

Question 12

In a survey of 50 seventh-graders, 10 chose Pepsi as their favorite drink and 40 chose Sprite as their favorite drink. Find the following ratios and the value of each ratio, and then say what the ratio means using words and numbers.

1. The number of 7th graders who chose Sprite to the number of 7th graders who chose Pepsi
2. The number of 7th graders who chose Sprite to the total number of 7th graders
3. The number of 7th graders who chose Pepsi to the number of 7th graders who chose Sprite

Question 13

Simplify the following ratios and determine if the two ratios are equivalent.

20: 30 and 6:9
5: 15 and 2:8

Question 14

On Thursday, the middle school cafeteria sold: 42 smoothies, 75 main line lunches, 80 cookies, 51 bags of chips, 100 salad bar lunches, and 26 breakfast bars. What is the ratio of the number of main line lunches sold to the number of salad bar lunches sold on Thursday?

Question 15

Taylor’s soccer team ate at a food court during the state tournament. 5 soccer players ate at McDonald’s for every 2 soccer players who ate at Subway. If 6 soccer players ate at Subway, how many soccer players ate at McDonald’s?

Question 16

Derek has a chihuahua, named Spike, and a great dane, named Daisy. He gives Spike 2 treats for every 5 treats he gives to Daisy. In April, he gave Daisy 60 treats. How many treats did Derek give to Spike in April?

Question 17

Alicia had a large bag of holiday M&M candies that had 72 green candies. There are 8 red candies for every 12 green candies. How many red candies are in the bag?

Question 18

The New York Public Library has fiction and nonfiction books in a ratio of 4:5. If there are 360 fiction books, how many more nonfiction books than fiction books does the library have?

Question 19

Last weekend, Will helped his father plant a garden. For every 3 tomato plants, they planted 2 basil plants. If they planted 6 tomato plants, how many basil plants did they plant?

Question 20

There are 28 employees at the local bank. Every morning, 5 out of 7 employees use Route A to drive to work. How many employees use Route A to drive to work?

Question 21

At Washington School, they keep track of all the books students read. For every 9 seventh- graders in the school, 5 claim that Harry Potter is their favorite book. Washington School has 90 seventh-graders; how many seventh-graders prefer Harry Potter?

Question 22

A swimming club has 34 members, of which 14 are males and the rest are females. What is the ratio of females to all club members?

Question 23

All 42 animals in the Children’s Zoo are either mammals or reptiles. 3 out of 7 are mammals, and 4 out of 7 animals are reptiles. How many more reptiles than mammals are in the zoo?

Question 24

Two out of three students in Mr. Peter’s class have pet dogs. If 18 students have dogs, how many students are in Mr. Peter’s class?

Question 25

The ratio of the number of girls to the number of children in Ms. Robinson’s class is 2:5. There are 30 children in Ms. Robinson’s class. How many girls are in the class?

Question 26

Twelve out of the 30 children in Ms. Robinson’s class are girls. What is the value of the ratio of the number of girls to the total number of children in Ms. Robinson’s class (or, how many times as many girls as children are in Ms. Robinson’s class)?

Question 27

The ratio of the number of girls to the total number of children in Ms. Robinson’s class is 2:5. The number of girls in Ms. Robinson’s class is 12. How many children are in the class?

Question 28

A truck is carrying mango juice, tomato juice, and orange juice bottles in a ratio of 4 : 1 : 3. If there are 13 tomato juice bottles, then how many orange juice bottles are there?

Question 29

A truck is carrying pineapple juice, pear juice, and grape juice bottles in a ratio of 7 : 1 : 2. If there are 16 pear juice bottles, then how many grape juice bottles are there?

Question 30

In a cookie mix, we find vanilla cookies, almond cookies, and butter cookies in a ratio of 3 : 2 : 3. If a bag of the mix contains 48 butter cookies, how many cookies in total are there?

Question 31

Terms about Ratio:

for every b there is an/a

a is to b

a per b

a out of b (only for part-to-whole comparisons)