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.

  • A27
  • B52
  • C53
  • D25
  • E35

Q2:

Complete the following: At an ice-cream shop, the ratio of small ice-cream cones sold to large ice-cream cones was 59. 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 85.
  • BThe ratio of tennis balls to tennis rackets is 58.
  • 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 513.

Q4:

What is the ratio between lengths 𝐴𝐶 and 𝐴𝐸 in its simplest form?

  • A12
  • B11
  • C34
  • D21

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?

  • A712
  • B127
  • C75
  • D57
  • E512

Q6:

Last year, the baseball team had 8 third-grade students and 7 fourth-grade students. What was the ratio of the fourth-grade students to third-grade students on the team?

  • A815
  • B78
  • C87
  • D715
  • E157

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?

  • A710
  • B73
  • C103
  • D310
  • E37

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?

  • A24
  • B26
  • C64
  • D46
  • E62

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.

  • A211384
  • B595384
  • C384595
  • D211595
  • E384211

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, 414500
  • Bno, 207250
  • Cno, 414500
  • Dyes, 207250
  • Eno, 500414

Q11:

What is the ratio of apples to carrots?

  • A43
  • B37
  • C34
  • D74
  • E47

Q12:

In the figure below, determine the ratio of the red parts to the green ones in its simplest form.

  • A2513
  • B1312
  • C1325
  • D1213

Q13:

In the figure below, find the ratio between 𝐴𝐵 and 𝐶𝐷 in its simplest form.

  • A23
  • B2233
  • C3322
  • D32

Q14:

Using the figure below, express the ratio of the number of squares to the number of triangles in its simplest form.

  • A49
  • B54
  • C45
  • D95
  • E59

Q15:

Find the ratio of the number of squares to the number of triangles in its simplest form.

  • A411
  • B117
  • C47
  • D74
  • E711

Q16:

Determine whether the following statement is true or false: 𝑥𝑦 is a ratio, where for every 𝑥 units of one quantity there are 𝑦 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 82. 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 43. 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 48. 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 41, 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 28.
  • 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 82.
  • 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 42.
  • 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 24.

Q24:

A teacher asked the students to find an equivalent expression for 6 to 8. The first students said it was 68, while the second student said it was 86. 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 35. For every dolls, there were cars.

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

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