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Measuring Problems (1)

In this worksheet, students solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places.

'Measuring Problems (1)' worksheet

Key stage:  KS 2

Curriculum topic:   Measurement

Curriculum subtopic:   Solve Conversion Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, remember that milli- means 1000th and centi- means 100th.

Also, kilo means 1000.

 

milli 1000 mm = 1 m
  1000 ml = 1 l
  1000 mg = 1 g
     
centi 100 cm = 1 m
  100 cl = 1 l
     
kilo 1 kg = 1000 g


 

This means that:

1 mm = 0.001 m

1 ml = 0.001 l

1 mg = 0.001 g

 

1 cm = 0.01 m

1 cl = 0.01 l

 

1 g = 0.001 kg

 

When problems involve mixed units of measurement, always convert them to work in just one unit.

Often it is easier to work with the smaller unit of measurement and then convert back at the end if the question asks for the answer in the larger unit of measurement.

 

Example 1

Jack pours out 2 litres of water into a pan and then removes 32 ml.

How much is left in the pan, in litres?

Answer

Work in millilitres.

2000 ml - 32 ml = 1968 ml

Convert back to litres by dividing by 1000.

1.968 l is left in the pan.

 

Example 2

Ann joins a 52 cm pipe, end to end, to one that is 2.5 m long.

How long are both pipes together in m?

Answer

Work in cm.

52 cm + 250 cm = 302 cm

Convert back to m by dividing by 100.

The pipe is 3.02 m long.

Jack pours 3 litres of water into a pan and then removes 50 ml.

How much is left in the pan in litres?

(Just write the number.)

Ann joins a 65 cm pipe, end to end, to one that is 3 m long.

How long are both pipes together in m?

(Just write the number.)

Bill is making bread.

He weighs out 2 kg of strong flour and another 250 g of plain flour.

How much flour does he use altogether in kg?

(Just write the number.)

The length of a rectangle is 1.5 m.

The width of a rectangle is 24 cm shorter than the length.

What is the width of the rectangle in m?

(Just write the number.)

After heavy rainfall, a bucket with capacity 5 litres is full of water.

I use 250 ml to water a plant.

How much is left in the bucket in litres?

(Just write the number.)

Fatima stacks tin cans on top of each other.

Each can is 105 mm tall.

She stacks 5 cans on top of each other to form a tower.

How tall is the tower in m?

(Just write the number.)

Ahmed pours the lemonade from 5 cans into an empty jug.

Each can holds 33 cl of lemonade.

How much lemonade is in the jug in litres?

(Just write the number.)

A packet of butter weighs 250 g.

A shopkeeper buys a box of 50 packets of butter.

How much do these 50 packets weigh in total in kg?

(Just write the number.)

A packet of 500 sheets of paper weighs 2.5 kg.

How much does one sheet of paper weigh in g?

(Ignore the weight of the packaging and just write the number.)

The height of a window is 1.5 m.

The width of the window is 428 mm.

What is the perimeter of the window in m?

(Just write the number.)

  • Question 1

Jack pours 3 litres of water into a pan and then removes 50 ml.

How much is left in the pan in litres?

(Just write the number.)

CORRECT ANSWER
2.95
2.950
EDDIE SAYS
3000 ml - 50 ml = 2950 ml
2950 ÷ 1000 = 2.95 l
  • Question 2

Ann joins a 65 cm pipe, end to end, to one that is 3 m long.

How long are both pipes together in m?

(Just write the number.)

CORRECT ANSWER
3.65
EDDIE SAYS
65 cm + 300 cm = 365 cm
365 ÷ 100 = 3.65 m
  • Question 3

Bill is making bread.

He weighs out 2 kg of strong flour and another 250 g of plain flour.

How much flour does he use altogether in kg?

(Just write the number.)

CORRECT ANSWER
2.25
2.250
EDDIE SAYS
2000 g + 250 g = 2250 g
2250 ÷ 1000 = 2.25 kg
  • Question 4

The length of a rectangle is 1.5 m.

The width of a rectangle is 24 cm shorter than the length.

What is the width of the rectangle in m?

(Just write the number.)

CORRECT ANSWER
1.26
EDDIE SAYS
150 cm - 24 cm = 126 cm
126 ÷ 100 = 1.26 m
  • Question 5

After heavy rainfall, a bucket with capacity 5 litres is full of water.

I use 250 ml to water a plant.

How much is left in the bucket in litres?

(Just write the number.)

CORRECT ANSWER
4.75
4.750
EDDIE SAYS
5000 ml - 250 ml = 4750 ml
4750 ÷ 1000 = 4.75 l
  • Question 6

Fatima stacks tin cans on top of each other.

Each can is 105 mm tall.

She stacks 5 cans on top of each other to form a tower.

How tall is the tower in m?

(Just write the number.)

CORRECT ANSWER
0.525
EDDIE SAYS
105 mm × 5 = 525 mm
525 ÷ 1000 = 0.525 m
  • Question 7

Ahmed pours the lemonade from 5 cans into an empty jug.

Each can holds 33 cl of lemonade.

How much lemonade is in the jug in litres?

(Just write the number.)

CORRECT ANSWER
1.65
EDDIE SAYS
33 cl × 5 = 165 cl
165 ÷ 100 = 1.65 l
  • Question 8

A packet of butter weighs 250 g.

A shopkeeper buys a box of 50 packets of butter.

How much do these 50 packets weigh in total in kg?

(Just write the number.)

CORRECT ANSWER
12.5
12.50
12.500
EDDIE SAYS
250 g × 50 = 12500 g
12500 ÷ 1000 = 12.5 kg
  • Question 9

A packet of 500 sheets of paper weighs 2.5 kg.

How much does one sheet of paper weigh in g?

(Ignore the weight of the packaging and just write the number.)

CORRECT ANSWER
5
EDDIE SAYS
2500 g ÷ 500 = 5 g
  • Question 10

The height of a window is 1.5 m.

The width of the window is 428 mm.

What is the perimeter of the window in m?

(Just write the number.)

CORRECT ANSWER
3.856
EDDIE SAYS
1500 mm × 2 + 428 mm × 2 = 3000 mm + 856 mm = 3856 mm
3856 ÷ 1000 = 3.856 m
---- OR ----

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