METRIC MEASURES WORD PROBLEMS

Problem 1 :

Jack is 1.36 meters tall. His friend Ian is 5 centimeters taller than Jack. What height is Ian? Give your answer in meters.

Solution :

Height of Jack = 1.36 m

Height of Ian = 1.36 m + 5 cm

Here we have to convert cm to m, converting the smaller to larger unit. So, we have to divide.

1 m = 100 cm

5/100 m

= 0.05 m

Height of Ian = 1.36 + 0.05

= 1.41 m

Problem 2 :

Mary runs 600 m every day. Work out how far Mary runs in one week. Give your answer in kilometers.

Solution :

Number of runs in a day = 600

Number of runs in a week = 600 x 7

= 4200 m

Converting m to km, we are converting smaller to the larger unit. So, we have to divide.

1 km = 1000 m

Divide by 1000.

= 4200/1000

= 4.2 km

Problem 3 :

Karl is baking a loaf of bread and needs 0.8 kg of flour. He has 72 grams of flour. How much more flour does Karl need? Give your answer in grams.

Solution :

Quantity of flour need to make loaf of bread = 0.8 kg

Quantity of flour he has = 72 grams

Converting kg to grams, we get

1 kg = 1000 gram

We have to convert from larger unit to the smaller unit. So, we have to multiply.

0.8 kg = 0.8 x 1000

= 800 grams

Already he has 72 grams. Quantity of flour needed

= 800 - 72

= 728 grams

Converting into kg, we get 728/1000

= 0.728 kg

Problem 4 :

James and Jack buy a 3 litre carton of orange juice. Each boy drinks 650 ml of orange juice. How much orange juice is left? Give your answer in litres.

Solution :

Quantity of orange juice in carton = 3 liter

Each boy drinks = 650 ml

Quantity of juice the boys consumed together = 2 x 650

= 1300 ml

1 liter = 1000 ml

1300 ml = 1300/1000 liter

= 1.3 liter

Quantity of juice left = 3 - 1.3

= 1.7 liter

Problem 5 :

Rebecca has two dogs, Lucky and Pepe. Lucky weighs 5.4 kilograms. Pepe is 800 grams lighter than Lucky. Work out how much Pepe weighs. State your units.

Solution :

Weight of Lucky = 5.4 kg

Weight of Pepe = 5.4 kg - 800 gram

Converting grams into kg, 1 kg = 1000 grams

800 grams = 800/1000

= 0.8 kg

Weight of Pepe = 5.4 - 0.8

= 4.6 kg

Problem 6 :

A 2p coin has a mass of 7 grams. Find the total mass of £80 worth of 2p coins. Give your answer in kilograms.

Solution :

£1 = 50 (2p coins)

Number of 2p coins of £80 = 50 x 80

= 400

Weight of 1 (2p coin) = 7 grams

Weight of 8000 (2p coins) = 400 x 7

= 2800 grams

1000 grams = 1 kg

Converting into kg, we get

= 2800/1000

= 2.8 kg

Problem 7 :

A cake recipe required 0.25 kg of flour. Rachel has 550 grams of flour. How much flour will she have left when she made the cake ?

Given your answer in kg.

Solution :

Quantity of flour required = 0.25 kg

Quantity of flour he has = 550 grams

Converting into kg = 550/1000

= 0.55 kg

Quantity of flour left = 0.55 - 0.25

= 0.3 kg

Problem 8 :

A bottle contains 1.5 liters of cola. Hannah drinks 300 ml of cola and Ben drinks 450 ml. How much of the cola is left ?

Give your answer in ml.

Solution :

Capacity of the bottle = 1.5 liters

Quantity of cola that Hannah and Ben drank respectively are 300 ml and 450 ml.

Converting ml to liters, we get

300 ml = 300 / 1000 ==> 0.3 l

450 ml = 450/1000 ==>  0.45 l

Quantity of cola left = 1.5 - (0.3 + 0.45)

= 1.5 - 0.75

= 0.75 kg

Problem 9 :

A chemistry teacher requires 250 mg of the chemical for an experiment. He has 30 grams of chemical. How many times can he carry out the experiment ?

Solution :

Quantity of chemical he has = 30 grams

Quantity of chemical that teacher requires = 250 mg

Converting grams to mg, we get

1 gram = 1000 mg

Here we are converting the larger quantity to the smaller  quantity, we have to divide by 1000.

30 grams = 30 x 1000

= 30000 mg

Number of times he can carry out the chemical = 30000/250

= 120 times

Problem 10 :

Emma estimates that the mass of one sweet is 20 g. A packet contain 0.36 kg of these sweets. How many sweets would you expect to find in this packet ?

Solution :

Mass of one sweet = 20 g

Quantity of sweets in one packet = 0.36 kg

1 kg = 1000 grams

Converting grams to kg, we have to divide by 1000.

= 20/1000

= 0.02 kg

Number of sweets expecting in the packet = 0.36/0.02

= 18 sweets