# Worksheet: Ratios

In this worksheet, we will practice using a ratio to describe the relationship between two quantities and using this to solve real-world problems.

Q1:

Given that there are 50 boys and 20 girls in a class, calculate the ratio of the number of girls to boys in its simplest form.

• A
• B
• C
• D
• E

Q2:

Complete the following: At an ice-cream shop, the ratio of small ice-cream cones sold to large ice-cream cones was . For every large ice-cream cones sold, there were small ice-cream cones sold.

• A9, 14
• B5, 9
• C5, 14
• D14, 5
• E9, 5

Q3:

If there are 8 tennis balls and 5 tennis rackets, which of the following statements is true?

• AThe ratio of tennis balls to tennis rackets is .
• BThe ratio of tennis balls to tennis rackets is .
• CFor every 5 tennis balls, there are 8 tennis rackets.
• DFor every 8 tennis rackets, there are 5 tennis balls.
• EThe ratio of tennis balls to tennis rackets is .

Q4:

What is the ratio between lengths and in its simplest form? • A
• B
• C
• D

Q5:

For every 7 bags, Isabella has 5 pairs of shoes. What is the ratio of the bags to the total number of bags and shoes?

• A
• B
• C
• D
• E

Q6:

• A
• B
• C
• D
• E

Q7:

For every 3 male fish in a fishbowl, there are 7 females. What is the ratio of the male to female fish in the bowl?

• A
• B
• C
• D
• E

Q8:

For every 4 regular sodas sold at a market, there are 2 diet sodas sold. What is the ratio of diet sodas sold to the total number of sodas sold?

• A
• B
• C
• D
• E

Q9:

If the total number of boys and girls in a school is 595, where the number of boys is 384, find the ratio between the number of boys and the number of girls.

• A
• B
• C
• D
• E

Q10:

A musical note’s pitch is measured in hertz, which is the number of sound waves per second. If the ratio between the frequencies of two musical notes can be simplified, the two notes are said to be harmonic. If one note is 414 hertz and another note is 500 hertz, are these two notes harmonic? Also, determine the ratio between their frequencies as a fraction in the simplest form.

• Ayes,
• Bno,
• Cno,
• Dyes,
• Eno,

Q11:

What is the ratio of apples to carrots? • A
• B
• C
• D
• E

Q12:

In the figure below, determine the ratio of the red parts to the green ones in its simplest form. • A
• B
• C
• D

Q13:

In the figure below, find the ratio between and in its simplest form. • A
• B
• C
• D

Q14:

Using the figure below, express the ratio of the number of squares to the number of triangles in its simplest form. • A
• B
• C
• D
• E

Q15:

Find the ratio of the number of squares to the number of triangles in its simplest form. • A
• B
• C
• D
• E

Q16:

Determine whether the following statement is true or false: is a ratio, where for every units of one quantity there are units of another quantity.

• Afalse
• Btrue

Q17:

Complete the following: There are 5 boys and 7 girls in a summer camp. Out of students, of them are boys.

• A7, 5
• B5, 7
• C12, 5
• D5, 12
• E12, 7

Q18:

Complete the following: At a coffee shop, the ratio of the number of cups of coffee sold to the number of cups of tea was . For every cups of coffee sold, there were cups of tea sold.

• A8, 2
• B10, 2
• C2, 8
• D2, 10
• E2, 4

Q19:

Complete the following: Matthew and Anthony are selling lemonade. The ratio of the lemonades that Matthew sold to those that Anthony sold was . Out of lemonades sold, have been sold by Anthony.

• A4, 3
• B3, 4
• C4, 7
• D3, 7
• E7, 3

Q20:

Complete the following: At a burger shop, the ratio of hot dogs to burgers sold was . For every burgers sold, there are hot dogs sold.

• A12, 4
• B4, 8
• C8, 4
• D4, 12
• E8, 12

Q21:

If the ratio of red marbles to blue marbles in a bag is , which of the following statements is true?

• AFor every 4 red marbles, we have 1 blue marble.
• BFor every 4 red marbles, we have 5 blue marbles.
• CFor every 1 red marble, we have 4 blue marbles.
• DFor every 1 red marble, we have 5 blue marbles.
• EFor every 5 red marbles, we have 4 blue marbles.

Q22:

If 8 nails are used and 2 chairs were built, which of the following statements is true?

• AThe ratio of the nails used to the chairs built is .
• BThere are 2 nails used for every 8 chairs built.
• CThere are 8 nails used for every 8 chair built.
• DThe ratio of the chairs built to the nails used is .
• EThere are 8 nails used for every 2 chairs built.

Q23:

If there are 2 pickles and 4 onions in a burger, determine which of the following statements is true?

• AThe ratio of pickles to onions is .
• BFor every 4 pickles, there are 2 onions.
• CFor every 4 pickles, there are 4 onions.
• DFor every 2 pickles, there are 2 onions.
• EThe ratio of pickles to onions is .

Q24:

A teacher asked the students to find an equivalent expression for 6 to 8. The first students said it was , while the second student said it was . Who has the correct answer?

• Athe second student
• Bthe first student

Q25:

Complete the following: At a toy shop, the ratio of dolls to cars was . For every dolls, there were cars.

• A3, 5
• B5, 3
• C3, 8
• D5, 8
• E8, 5