## Chapter 4 – Multiplication and Division

## Practice set 14

**1. Multiply.**

**(1) 327 × 92 ****Ans: **

**(2) 807 × 126 **

**Ans: **

**(3) 567 × 890 **

**Ans: **

**(4) 4317 × 824**

**Ans: **

**(5) 6092 × 203 **

**Ans: **

**(6) 1177 × 99 **

**Ans: **

**(7) 456 × 187 **

**Ans: **

**(8) 6543 × 79**

**Ans: **

**(9) 2306 × 832 **

**Ans: **

**(10) 6429 × 509 **

**Ans: **

**(11) 4,321 × 678 **

**Ans: **

**(12) 20,304 × 87**

**Ans: **

**2. As part of the ‘Avoid Plastic’ campaign, each of 745 students made 25 paper bags. What was the total number of paper bags made?****Ans:**

Number of Students – 745

Paper bags prepared by each student – 25

Total number of bags prepared – ?

18,625 paper bags were prepared.

**3. In a plantation, saplings of 215 medicinal trees have been planted in each of the 132 rows of trees. How many saplings are there in the plantation altogether?Ans:**

Saplings in each row – 215

Number of rows – 132

Total number of saplings ?

There are altogether 28,380 saplings in the plantation.

**4. One computer costs 27,540 rupees. How much will 18 such computers cost?****Ans:**

Cost of 1 computer – 27,540 rupees

Number of computers – 18

Total cost of 18 computers ?

The cost of 18 computers is 4,95,720 rupees.

**5. Under the ‘Inspire Awards’ scheme, 5000 rupees per student were granted for the purchase of science project materials. If 154 students in a certain taluka were covered under the scheme, find the total amount granted to that taluka.** **Ans:**

Amount given to 1 sttudent – 5000 rupees

Number of students – 154

Total amount granted to taluka ?

7,70,000 rupees was granted to the taluka.

**6. If a certain two-wheeler costs 53,670 rupees, how much will 35 such two-wheelers cost?****Ans:**

Cost of 1 two-wheeler – 53,670 rupees

Number of two-wheelers – 35

Total cost of 35 two-wheelers ?

35 two-wheelers cost 18,78,450 rupees.

**7. One hour has 3,600 seconds. How many seconds do 365 hours have?****Ans:**

Seconds in 1 hour – 3,600

Number of hours – 365

Total seconds in 365 hours ?

365 hours has 13,14,000 seconds.

**8. Frame a multiplication word problem with the numbers 5473 and 627 and solve it.****Ans:**

Problem: The population of a village is 5473. What is the total population of 627 such villages?

Population of village – 5473

Number of villages – 627

Population of 627 villages ?

The total population of 627 villages is 34,31,571.

**9. Find the product of the biggest three-digit number and the biggest four-digit number.Ans:**

Biggest three-digit number – 999

Biggest four-digit number – 9999

Product of the two numbers ?

Product of the biggest three-digit number and the biggest four-digit number is 99,89,001.

**10. One traveller incurs a cost of 7,650 rupees for a certain journey. What will be the cost for 26 such travellers?****Ans:**

Cost of 1 traveller – 7650 rupees

Number of travellers – 26

Cost of 26 travellers ?

Cost of 26 travellers is 1,98,900 rupees.

## Practice set 15

**1. Solve the following and write the quotient and remainder.**

**(1) 1284 ÷ 32 Ans: **

**Quotient – 40**

**Remainder – 4**

**(2) 5586 ÷ 87 Ans: **

**Quotient – 64**

**Remainder – 6**

**(3) 1207 ÷ 27Ans: **

**Quotient – 44**

**Remainder – 19**

**(4) 8543 ÷ 41 Ans: **

**Quotient – 208**

**Remainder – 15**

**(5) 2304 ÷ 43 Ans: **

**Quotient – 53**

**Remainder – 25**

**(6) 56,741 ÷ 26 Ans: **

**Quotient – 2182**

**Remainder – 9**

**2. How many hours will it take to travel 336 km at a speed of 48 km per hour?Ans:**

Total distance – 336 km

Speed – 48 km per hour

Total hours ?

The time required is 7 hours.

**3. Girija needed 35 cartons to pack 1400 books. There are an equal number of books in every carton. How many books did she pack into each carton?Ans:**

Number of books – 1400

Number of cartons – 35

Number of books in each carton ?

40 books are packed in each carton.

**4. The contribution for a picnic was 65 rupees each. Altogether, 2925 rupees were collected. How many had paid for the picnic?Ans:**

Contribution by each person – ₹65

Total contribution – ₹2925

Number of persons who contributed ?

45 persons contributed for the picnic.

**5. Which number, on being multiplied by 56, gives a product of 9688?Ans:**

Product of numbers – 9688

One number – 56

The other number ?

The required number is 173.

**6. If 48 sheets are required for making one notebook, how many notebooks at the most will 5880 sheets make and how many sheets will be left over?**

**Ans:**

Sheets required for making 1 notebook – 48

Number of sheets – 5880

Number of notebooks made from 5880 sheets ?

Left over pages ?

122 notebooks can be made and 24 sheets will be left over.

**7. What will the quotient be when the smallest five-digit number is divided by the smallest four-digit number?**

**Ans:**

Smallest five-digit number – 10000

Smallest four-digit number – 1000

Quotient ?

The quotient is 10.

## Practice set 16

**1. From a total of 10,000 rupees, Anna donated 7,000 rupees to a school. The remaining amount was to be divided equally among six students as the ‘all-round student’ prize. What was the amount of each prize?Ans:**

Total – ₹ 10,000

Donated – ₹ 7000

Remaining amount ?

** 1 0 0 0 0**

**– 7 0 0 0**

** 3 0 0 0**

Remaining amount – ₹ 3000

Number of students – 6

Each students will get ?

The amount of prize per student was ₹ 500.

**2. An amount of 260 rupees each was collected from 50 students for a picnic. If 11,450 rupees were spent for the picnic, what is the amount left over?Ans:**

Amount collected per student – 260 rupees

No of students – 50

Total amount collected ?

Total amount collected – ₹ 13000

Amount spent for picnic – ₹ 11450

Leftover amount ?

** 1 3 0 0 0**

**– 1 1 4 5 0**

** 0 1 5 5 0**

The amount leftover was ₹ 1550.

**3. A shopkeeper bought a sack of 50kg of sugar for 1750 rupees. As the price of sugar fell, he had to sell it at the rate of 32 rupees per kilo. How much less money did he get than he had spent?Ans:**

Weight of 1 sack of sugar – 50 kg

Price of 1 kg sugar – 32 rupees

Total amount he got after selling the sugar ?

He got 1600 rupees after selling the sugar

Purchase price – 1750 rupees

Less money he got after selling ?

** 1 7 5 0**

**– 1 6 0 0**

** 0 1 5 0**

The shopkeeper got 150 rupees less.

**4. A shopkeeper bought 7 pressure cookers at the rate of 1870 rupees per cooker. He sold them all for a total of 14,230 rupees. Did he get less or more money than he had spent?Ans:**

No of cookers – 7

Price of 1 cooker – 1870 rupees

Total amount he bought the cookers ?

He bought the cookers in 13090 rupees

Purchase price – 14230 rupees

More money he got after selling ?

** 1 4 2 3 0**

**– 1 3 0 9 0**

** 0 1 1 4 0**

The shopkeeper got 1140 rupees more.

**5. Fourteen families in a Society together bought 8 sacks of wheat, each weighing 98 kilos. If they shared all the wheat equally, what was the share of each family?Ans:**

Weight of 1 sack of wheat – 98 kg

Number of sacks – 8

Total weight of wheat ?

Total weight of wheat is 784 kg

Number of families – 14

Weight of wheat each family gets ?

Each family gets 56 kg of wheat.

**6. The capacity of an overhead water tank is 3000 litres. There are 16 families living in this building. If each family uses 225 litres every day, will the tank filled to capacity be enough for all the families? If not, what will the daily shortfall be?Ans:**

Water used by 1 family everyday – 225 litres

Number of families – 16

Water used by 16 families everyday ?

Water used by 16 families everyday – 3600 litres

Capacity of Tank – 3000 litres

3600 > 3000

∴ Water will not be enough for all families.

Daily shortfall of water ?

** 3 6 0 0 **

**– 3 0 0 0**

** 0 6 0 0**

The daily shortfall of water will be 600 litres.