3 marks

Question 13 Marks

A Music concert is taking place in a stadium. A total of 7,689 chairs are to be put in rows of 90.
(i) How many rows will there be?
(ii) Will there be any chairs left over?

Answer

Total no of chairs to be put = 7,689

Chairs in each row = 90

No of rows = 7689 ÷ 90

Hence, 84 + 1 = 85 rows are required to fill 7650 chairs

Chairs left over = 79 ...(If the no of rows = 84)

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Question 23 Marks

Anbu asks Arivu Selvi to guess a five-digit odd number. He gives the following hints.

The digit in the 1000s place is less than 5
The digit in the 100s place is greater than 6
The digit in the 10s place is 8

What is Arivu Selvi answer? Does she give more than one answer?

Answer

There are more than one answer
One of them is 54781
Some of the other numbers maybe 64783, 74785, 84787 and so on.

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Question 33 Marks

A poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?

Answer

No of eggs produced = 15472

No of eggs fits in a tray = 30

No of trays required = 15472 ÷ 30

Trays required = 515 + 1 (to fit the remaining 22 eggs) = 516

Quotient = 515

Remainder = 22

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Question 43 Marks

Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?

Answer

Number of bags of apples = 25

Number of apples in each bag = 9

Total apples = 25 × 9 = 225

Number of friends = 6

Number of apples each friend get = 225 ÷ 6 = 37

Number of apples each get = 37

Remaining apples = 3

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Question 53 Marks

Find the 5 or 6 or 7 digit numbers from a newspaper or a magazine to get a rounded number to the nearest ten thousand

Answer

1. Nearly 3,00,000 students are going to appear for the Public Examination this year.

2. A discount of ₹ 1,00,00,000 will be allowed to the farmers.

3. 4,62,790 students have benefited from scholarships.

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Question 63 Marks

Use the properties of whole numbers and simplify.
196 + 34 + 104

Answer

196 + 34 + 104
= 196 + 104 + 34 ...[∴ Addition is associative]
= 300 + 34
= 334
∴ 196 + 34 + 104 = 334

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Question 73 Marks

Use the properties of whole numbers and simplify.

50 × 102

Answer

Using the distributive property of multiplication over addition

50 × 102

= 50(100 + 2)

= 50 × 100 + 50 × 2

= 5000 + 100

= 5100

∴ 50 × 102 = 5100

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Question 83 Marks

Use the properties of whole numbers and simplify.

500 × 689 – 500 × 89

Answer

Using distributivity of multiplication over subtraction

500 × 689 – 500 × 89

= 500 × (689 – 89)

= 500 × 600

= 300000

∴ 500 × 689 – 500 × 89 = 3,00,000

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Question 93 Marks

Use the properties of whole numbers and simplify.
4 × 132 × 25

Answer

We know that multiplication is associative
4 × 132 × 25
= 4 × 25 × 132
= 100 × 132
= 13200
∴ 4 × 132 × 25 = 13200

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Question 103 Marks

The population of a city was 43,43,645 in the year 2001 and 46,81,087 in the year 2011. Estimate the increase in population by rounding off to the nearest thousand

Answer

Population in the year 2011 is 46,81,087 ⇒ 46,81,000
Population in the year 2001 is 43,43,645 ⇒ 43,44,000
Increase in Population = 3,37,000

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Question 113 Marks

Simplify the following numerical expression:
12 – [3 – {6 – (5 – 1)}]

Answer

12 – [3 – {6 – (5 – 1)}]
= 12 – [3 – (6 – 4)]
= 12 – [3 – 2]
= 12 – 1
= 11

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Question 123 Marks

Simplify the following numerical expression:
100 + 8 ÷ 2 + {(3 × 2) − 6 ÷ 2}

Answer

100 + 8 ÷ 2 + {(3 × 2) – 6 ÷ 2}
= 100 + 8 ÷ 2 + {6 – 3}
= 100 + 8 ÷ 2 + 3
= 100 + 4 + 3
= 107

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Question 133 Marks

₹ 62,500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?

Answer

Total amount distributed = ₹ 62500
Number of employees received bonus = 25
Amount received by one employee = 62500 ÷ 25 = 2,500
Each employee received = ₹ 2,500

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Question 143 Marks

In a cycle factory, 1560 bicycles were manufactured every day. Find the number of bicycles manufactured in 25 days

Answer

Bicycles manufactured in one day = 1560
Bicycles manufactured in 25 days = 1560 × 25
= 39,000 bicycles

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Question 153 Marks

The number of people who visited the Public Library for the past 5 months were 1200, 2000, 2450, 3060 and 3200 respectively. How many people visited the library in the last 5 months

Answer

Total number of people who visited the public library for the past 5 months
= 1200 + 2000 + 2450 + 3060 + 3200
= 11910

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Question 163 Marks

The password to access my ATM card includes the digits 9, 4, 6 and 8. It is the smallest 4 digit even number. Find the password of my ATM Card

Answer

Given digits are 9, 4, 6 and 8.
Smallest number with these digits is 4689
Given that it is an even number.
It may be 4698.
So password of ATM card is 4698.

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Question 173 Marks

Write the largest six digit number and put commas in the Indian and the International System

Answer

Largest 6 digit number = 9,99,999

Indian System: 9,99,999 ...(Nine Lakh Ninety-Nine Thousand Nine Hundred Ninety-Nine)

International System: 999,999 ...(Nine Hundred Ninety-Nine Thousand, Nine Hundred Ninety-Nine)

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Question 183 Marks

The expanded form of the number 6,70,905 is

6 × 10000 + 7 × 1000 + 9 × 100 + 5 × 1
6 × 10000 + 7 × 1000 + 0 × 100 + 9 × 100 + 0 × 10 + 5 × 1
6 × 1000000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1

Answer

The expanded form of the number 6,70,905 is 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1

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Maths 3 marks

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