Problem Set 47 – Word Problems on MeasurementClass 5 Maths · Chapter 11 Problems on Measurement · Problem Set 47 – Maharashtra Board

Summary: Problem Set 47 – Word Problems on Measurement

First read the problem and decide the operation: altogether → add, left or remaining → subtract, many equal things → multiply, equal pieces or packets → divide.

Speed in kmph means kilometres covered in one hour. Half an hour covers half that distance, a quarter hour a quarter of it.

To multiply a two-part measure, multiply each part, then change extra small units into big units: 12 m 100 cm = 13 m.

To divide a measure into equal pieces, change it fully into the small unit first: 9 m 40 cm = 940 cm.

Time is not in tens: 60 minutes make 1 hour. So 75 minutes = 1 hour 15 minutes.

Key points to remember

• Altogether / in all → add
• Left / remains / how much more → subtract
• Many equal amounts → multiply
• Equal pieces or packets → divide (change to small units first)
• Speed 60 kmph = 60 km in 1 hour
• ½ hour = 30 min, ¼ hour = 15 min, ¾ hour = 45 min
• 1 hour = 60 minutes (not 100!)
• Always write the unit in the answer

Problem Set 47 – Word Problems on Measurement – Notes

1. Choosing the operation

• Two cans of oil together? Add the two amounts.
• A road partly cleaned — how much is left? Subtract.
• Cloth for 6 equal dresses? Multiply. Number of 20 g packets from a bag? Divide.

2. Speed and distance

• A speed of 80 km per hour (80 kmph) means 80 km are covered in every hour.
• In half an hour: 80 ÷ 2 = 40 km. In a quarter of an hour: 80 ÷ 4 = 20 km. In three quarters: 20 × 3 = 60 km.
• In 2½ hours: 80 + 80 + 40 = 200 km.
• To find time: at 6 kmph, 2 km takes 2 out of 6 parts of an hour. 60 ÷ 6 = 10 minutes per km, so 2 km takes 20 minutes.

3. Multiplying a measure

• One dress needs 2 m 75 cm. For 3 dresses: 75 × 3 = 225 cm and 2 × 3 = 6 m.
• 225 cm = 2 m 25 cm, so 6 m + 2 m 25 cm = 8 m 25 cm.
• Another way: 2 m 75 cm = 275 cm; 275 × 3 = 825 cm = 8 m 25 cm. Both give the same answer.

4. Dividing into equal pieces

• Change the whole measure into the small unit.
• Then divide by the size of one piece.
• Example: 6 m 40 cm of ribbon cut into 8 cm pieces → 640 cm ÷ 8 = 80 pieces.

5. Adding time

• Add minutes first, then hours.
• If the minutes are 60 or more, take out 60 minutes as 1 hour.
• Measures of length, mass and capacity follow tens (10, 100, 1000), so they are easier; time follows 60, so be careful.

Formulas at a glance

Key terms

Problem Set 47 – Word Problems on Measurement – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 47 – Word Problems on Measurement – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 47 – Word Problems on Measurement

⏱ About 30 minutes

1. Read (5 min)
   Underline the key word in each problem: altogether, left, each, equal pieces.
2. Solve (20 min)
   Write the units in columns, work the small units first and change extra small units into big ones.
3. Practise (5 min)
   Do the 4 'Try it yourself' problems, take the quiz and play 🎮 Play.