Lesson Worksheet: Ratio Among Three Numbers Mathematics

In this worksheet, we will practice simplifying and using the ratio between three numbers to solve problems.

Q1:

Determine the ratio between the three numbers 𝑎, 𝑏, and 𝑐 given that 𝑎∶𝑏=10∶1 and 𝑏∶𝑐=2∶1.

  • A20∶1∶2
  • B10∶2∶1
  • C10∶1∶1
  • D20∶2∶1

Q2:

The ratios 12 : 4 : 8 and 𝑥5𝑦:: are equivalent.

Find 𝑥.

Find 𝑦.

Q3:

Express the ratio 72∶54∶81 in its simplest form.

  • A8∶2∶3
  • B4∶3∶9
  • C8∶6∶9
  • D9∶6∶8

Q4:

Express the ratio 4.4∶3.3∶8.8 in its simplest form.

  • A4∶3∶8
  • B4∶8∶3
  • C0.4∶0.3∶0.8
  • D0.4∶0.8∶0.3

Q5:

Determine the ratio of the quantities 9∶112∶9,250kgkgg in its simplest form.

  • A36∶6∶37
  • B36∶37∶6
  • C18∶185∶3
  • D18∶3∶185

Q6:

If 𝑎=38𝑏 and 𝑏=87𝑐, then express the ratio 𝑎∶𝑏∶𝑐 in its simplest numeric form.

  • A56∶21∶24
  • B21∶56∶64
  • C3∶8∶7
  • D64∶24∶21

Q7:

Complete the following putting the ratio in its simplest form: 25∶14∶58=∶∶25.

  • A16, 25
  • B50, 125
  • C50, 25
  • D16, 10

Q8:

Three factories manufacture identical products in the ratio 13∶6∶15. The third factory makes 924 more products than the first factory in one month. How many products does each factory make that month?

  • AFirst factory =6,006, second factory =2,772, third factory =6,930
  • BFirst factory =6,106, second factory =2,872, third factory =7,030
  • CFirst factory =429, second factory =264, third factory =660
  • DFirst factory =353, second factory =163, third factory =407

Q9:

Some money is shared between Jennifer, Michael and Daniel in the ratio 16∶3∶15. Jennifer’s share exceeds Daniel’s share by 875 LE. How much money do each of them receive?

  • AJennifer = 14,100 LE, Michael = 2,725 LE, Daniel = 13,225 LE
  • BJennifer = 451 LE, Michael = 145 LE, Daniel = 729 LE
  • CJennifer = 14,000 LE, Michael = 2,625 LE, Daniel = 13,125 LE
  • DJennifer = 411 LE, Michael = 77 LE, Daniel = 386 LE

Q10:

The weights of three containers are in the ratio 14∶2∶7. The weight of the second container is 58 kg. Calculate the weights of the first and third containers.

  • Afirst weight = 79 kg, third weight = 74 kg
  • Bfirst weight = 116 kg, third weight = 16 kg
  • Cfirst weight = 406 kg, third weight = 203 kg
  • Dfirst weight = 29 kg, third weight = 8 kg

This lesson includes 35 additional questions and 377 additional question variations for subscribers.

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