Lesson Worksheet: Proportion Word Problems Mathematics • 7th Grade

In this worksheet, we will practice finding an unknown term in a proportion and solving word problems on proportions involving fractions, mixed numbers, and decimals.

Q1:

Jennifer can type 75 words in 3 minutes. Determine how many words she can type in 4 minutes.

Q2:

The ratio 1𝑎 is equivalent to 0.84. What is the value of 𝑎?

Q3:

The ratio between Anthony’s and Mason’s heights is 34. If Mason is 144 cm tall, how tall is Anthony?

Q4:

To make 32 muffins, 1 cup of sugar is needed. Use the ratio table to find how many cups of sugar are needed to make 96 muffins.

Q5:

A teacher takes 3 hours to mark 75 examination papers. Working at this rate, how many examination papers would they mark in 35 of an hour?

Q6:

If 6 notebooks cost $12, use a ratio table to determine how many notebooks you can buy with $18.

Q7:

Chloe scored 41 points in 7 basketball games. If she keeps scoring at this rate, about how many points will she score in the next 4 games?

  • A41 points
  • B35 points
  • C70 points
  • D24 points
  • E10 points

Q8:

A 19.4 meters high building casts a shadow which is 8.8 meters long at a certain time of the day. How tall is a nearby tree which casts a 4.4 meters long shadow at the same time?

Q9:

A spinner is divided into equal sections. There are 12 green sections and 10 yellow sections. If Benjamin spins the spinner 88 times, determine which proportion can be used to find the number of times 𝑦 that the spinner can be expected to stop at a green section.

  • A𝑦88=2212
  • B𝑦88=1012
  • C𝑦88=1222
  • D𝑦88=1022
  • E𝑦88=1210

Q10:

The ratio between the weights of a son and his father is 27. Given that the father weighs 119 kg, calculate the weight of the son.

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