## Part Two

## Lesson 11 – Measurement

**Exercise**

**Measure the length of the lines shown below and convert into millimetres.**

**(1)**

**______________________**

**Ans:**

4 cm = 4 × 10 = 40 mm

**(2)**

**_____________________________**

**Ans:**

6 cm = 6 × 10 = 60 mm

**Exercise**

**The timetable below lists the places between Wardha and Nagpur and their distances in kilometres. Study it and answer the following questions.**

**From which place have the distances of all the other places been measured?**

**Ans:** Wardha

**How far is Tuljapur from Wardha?**

**Ans:** 24 kms

**What is the distance between Sindhi and Nagpur?**

**Ans:** 47 kms

**What is the distance between Selu Road and Ajani?**

**Ans:** 62 kms

**Exercise**

**Match**** the following.**

Half a metre

Three quarter kilometres

Quarter metre

Quarter kilometre

Half a kilometre

Three quarter metres

25 cm

500 m

75 cm

50 cm

250 m

750 m

**Ans:**

Half a metre – 50 cm

Three quarter kilometres – 750 m

Quarter metre – 25 cm

Quarter kilometre – 250 m

Half a kilometre – 500 m

Three quarter metres – 75 cm

**Match**** the following.**

3 metres

3 kilometres

2 metres

4 centimetres

4 kilometres

2 centimetres

40 millimetres

200 centimetres

300 centimetres

20 millimetres

3000 metres

4000 metres

**Ans:**

3 metres – 300 centimetres

3 kilometres – 3000 metres

2 metres – 200 centimetres

4 centimetres – 40 millimetres

4 kilometres – 4000 metres

2 centimetres – 20 millimetres

**Exercise**

**1. Convert.**

**(1) 7 metres into centimetres. **

**Ans:**

1 metre = 100 centimetres

7 metre = 100 × 7 centimetres

∴ 7 metre = 700 centimetres

**(2) 8 kilometres into metres.**

**Ans:**

1 kilometre = 1000 metres

∴ 8 kilometres = 1000 × 8 metres

∴ 8 kilometres = 8000 metres

**(3) 9 centimetres into millimetres. ****Ans:**

1 centimetre = 10 millimetres

∴ 9 centimetre = 10 × 9 millimetres

∴ 9 centimetre = 90 millimetres

**(4) 5½ metres into centimetres.****Ans:**

1 metre = 100 centimetres

∴ 5 metre = 100 × 5 centimetres

∴ 5 metre = 500 centimetres

and ½ metre = 50 centimetres

∴ 5½ metre = 5 metre + ½ metre

∴ 5½ metre = 500 centimetres + 50 centimetres

∴ 5½ metre = 550 centimetres

**(5) 11 kilometres into metres. ****Ans:**

1 kilometre = 1000 metres

∴ 11 kilometres = 1000 × 11 metres

∴ 11 kilometres = 11000 metres

**(6) 4 centimetres into millimetres. ****Ans:**

1 centimetre = 10 millimetres

∴ 4 centimetres = 10 × 4 millimetres

∴ 4 centimetres = 40 millimetres

**(7) 8 metres into centimetres.** **Ans:**

1 metre = 100 centimetres

∴ 8 metre = 100 × 8 centimetres

∴ 8 metre = 800 centimetres

**(8) 7 kilometres into metres.****Ans:**

1 kilometre = 1000 metres

∴ 7 kilometres = 1000 × 7 metres

∴ 7 kilometres = 7000 metres

**2. Match the following.**

2 km

5 cm

8 m

11 cm

9 m

12 km

50 mm

800 cm

2000 m

900 cm

12000 m

110 mm

**Ans:**

2 km – 2000 m

5 cm – 50 mm

8 m – 800 cm

11 cm – 110 mm

9 m – 900 cm

12 km – 12000 m

**3. Fill in the blanks.**

**1) 530 centimetres**

**Ans:** 5 m 30 centimetres

**2) 1240 metres**

**Ans:** 1 km 240 metres

**3) 845 centimetres**

**Ans:** 8 m 45 centimetres

**4) 1250 centimetres**

**Ans:** 1 m 250 centimetres

**5) 2275 metres**

**Ans:** 2 km 275 metres

**6) 4090 metres**

**Ans:** 4 km 90 metres

**Exercise**

**1. Answer the following questions.**

**(1) How many grams is 3 kilograms?**

**Ans:** 3000 grams

**(2) How many grams is one and a half kilograms?**

**Ans:** 1500 grams

**(3) How many grams is one and a quarter kilograms?**

**Ans:** 1250 grams

**(4) How many grams are three and three quarter kilograms? **

**Ans:** 3750 grams

**(5) Which weights will the shopkeeper use to measure three and a half kilograms of wheat?**

**Ans:** The shopkeeper will use three 1 kg and one 500 g in order to weigh three and a half kilograms of wheat.

**2. Fill in the blanks.**

**(1) _____ weights of 100 grams is 1000 grams.**

**Ans: ****10** weights of 100 grams is 1000 grams.

**(2) _____ weights of 200 grams is 1000 grams.**

**Ans: ****5** weights of 200 grams is 1000 grams.

**(3) _____ weights of 500 grams is 1000 grams.**

**Ans: ****2** weights of 500 grams is 1000 grams.

**Exercise**

**1. Fill in the blanks.**

**1 litre = 1000 millilitres**

**2 litres = 2 × 1000 = 2000 millilitres**

**4 litres = ___ millilitres****Ans:** 4 litres = 4000 millilitres

**15 litres = ___ millilitres****Ans:** 15 litres = 15000 millilitres

**2. How many millilitres are there in three and three quarter litres?****Ans:** 3750 millilitres

**3. How many millilitres are there in one and a half litre?****Ans:** 1500 millilitres

**4. How many millilitres are there in one and a quarter litre? ****Ans:** 1250 millilitres

**5. Which measures will be used to pour three and a half litres of milk and how many times will they be used?****Ans:** We will use three times 1 litre measure and once 500 ml measure.

**6. Write how many times the following measures will have to be used to fill a 1-litre measure.**

**Ans:**

**Exercise**

**(1) One round of the walking track in the park is 250 metres long. Ajit’s grandfather walks that path 4 times every morning. How many kilometres does he walk every day?****Ans:**

2 5 0 metres one round

× 4 number of times walked

1 0 0 0

1000 metres = 1 kilometres

Ajit’s grandfather walks 1 km everyday

**(2) Sulabha bought four and a half metres of cloth. She divided it into five equal lengths and gave them to five friends. How much cloth did each friend get?****Ans:**

1 metre = 100 centimetres

Four and a half metres = 400 cm + 50 cm

Four and a half metres = 450 cm

Each friend got 90 cm of cloth

**(3) If 1 litre of petrol costs ₹ 70, how much do two and a half litres of petrol cost?****Ans:**

1 litre of petrol = ₹ 70

Two and a half litre of petrol = 2.5 litres

Cost of 2.5 litres of petrol is,

Cost of 2.5 litres of petrol is ₹ 175

**(4) Jenny bought a quarter kilogram of barfi, half a kilogram of chivda, a quarter kilogram of shev and three quarter kilograms of jalebi from a shop. What was the total weight of her purchases?****Ans:**

1

2 5 0 grams barfi

+ 5 0 0 grams chivda

+ 2 5 0 grams shev

+ 7 5 0 grams jalebi

1 7 5 0

1000 grams = 1 kilograms

∴ 1750 grams = 1 kilogram and three quarter grams

The total weight of purchase is 1 kilogram and three quarter grams

**(5) Wasim’s school started at a quarter past twelve in the afternoon and finished at half past five in the evening. If the break was for half an hour, how much time did the children spend in the classroom?****Ans:**

1 2 : 1 5 End time

– 0 5 : 3 0 Start time

0 5 : 1 5

0 5 : 1 5

– 0 0 : 3 0 Break time

0 4 : 4 5

Total time = 04 : 45 = 4 hours 45 minutes

The children spent 4 hours 45 minutes in the classroom

**(6) Sharad went to his friend’s place on a motorcycle. When he started, the reading was 19,235 kilometres. When he reached his friend’s place, it was 19,301 kilometres. How many kilometres did Sharad travel?**

**Ans: **

Sharad travelled 66 kilometres