Worksheet: Sharing a Quantity into a Ratio

In this worksheet, we will practice sharing quantities in two- and three-part ratios.

Q1:

Divide 72 cm in the ratio 231.

  • A24 cm, 22 cm, 12 cm
  • B26 cm, 34 cm, 12 cm
  • C24 cm, 36 cm, 12 cm
  • D22 cm, 37 cm, 13 cm
  • E22 cm, 37 cm, 36 cm

Q2:

Divide 48 kg in the ratio 21.

  • A14 kg, 16 kg
  • B14 kg, 32 kg
  • C32 kg, 16 kg
  • D30 kg, 18 kg
  • E34 kg, 14 kg

Q3:

Three friends win £6,000. They decide to share the money in the ratio 354. Calculate the amount each one receives.

  • A£1,500, £2,500, and £2,200
  • B£1,400, £2,500, and £2,000
  • C£1,500, £2,500, and £2,000
  • D£1,400, £2,400, and £2,200
  • E£1,500, £2,400, and £2,000

Q4:

Chloe and Michael shared their lottery winning in the ratio of 32. Michael received £360. How much did Chloe receive?

Q5:

David and Isabella share 30 cupcakes in the ratio 23. How many do they each get?

  • ADavid: 16 cupcakes, Isabella: 20 cupcakes
  • BDavid: 10 cupcakes, Isabella: 20 cupcakes
  • CDavid: 12 cupcakes, Isabella: 18 cupcakes
  • DDavid: 10 cupcakes, Isabella: 14 cupcakes
  • EDavid: 14 cupcakes, Isabella: 16 cupcakes

Q6:

If we divide 15 chocolates between Charlotte and Benjamin in the ratio 41, how many chocolates does Benjamin get?

Q7:

If the angles in a triangle are in the ratio 123, find the smallest angle.

Q8:

If a line segment of length 120 cm is divided in the ratio 14, find the length of the shorter part.

Q9:

Share 8 pencils between Hannah and Liam in the ratio 13.

  • AHannah: 1 and Liam: 7
  • BHannah: 2 and Liam: 6
  • CHannah: 3 and Liam: 5
  • DHannah: 4 and Liam: 4
  • EHannah: 1 and Liam: 3

Q10:

A plot of land with an area of 150 m2 is divided into 3 pieces in the ratio 127. Find the area of the largest piece of land after the division.

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