Viva
Start Up
Maths Lab
Activity
4
Akanksha Dudpuri
New Delhi • Mumbai • Chennai • Kolkata • Bengaluru • Hyderabad • Kochi • Guwahati
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First Published 2014
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PREFACE
Mathematics is a challenging and rewarding subject provided one adopts the right approach
to understand it. If approached by rote method, the subject appears difficult and its learning
becomes monotonous and uninteresting. But when approached through understanding
supported by imagination and activities, it becomes a fascinating and interesting subject.
Learning Mathematics is like learning to ride a bicycle. Here, instead of imitating someone,
one has to learn through one’s own experience by practicing and experimenting. Viva Start
Up Maths Lab Activity will help to bridge the gap between theory and practice to realize the
purpose of learning Mathematics.
Salient features of Viva Start Up Maths Lab Activity
Concepts have been explained through simple and interesting activities.
Each activity is enriched with appropriate diagrams and illustrations.
The language is simple and can be easily comprehended.
The procedure to do the activity is given in a step-by-step manner for clear understanding.
A variety of questions given in the Testing Time will help to evaluate application, thinking
and analytical abilities.
Answer orally will help to gain confidence to answer the questions orally with ease.
A variety of HOTS questions are given in the section Riddle Time.
Activity Help Sheets given at the end of the book will work as a support material to do the
activities.
Guidelines for the Students
Read the instructions carefully.
Seek the help of your teacher for any doubt.
Always use a properly sharpened pencil.
Do the steps one-by-one in order and carefully record your observations.
Check your working as you go along the activities and the exercises.
Carefully cut the cut-outs given in the Activity Help Sheets to avoid tearing them.
Do not use glue in excess. Allow it to dry completely before turning the page.
Handle the scissors carefully and make sure you do not harm yourself.
Do calculations with full concentration.
If you are not pasting the cut-outs, then keep them carefully to be used later.
We hope that Viva Start Up Maths Lab Activity will help the students to hone Mathematical skills
and make learning a joyful experience.
iii
CONTENTS
S. No.
Topic
Objective
Page No.
1.
Numbers Beyond 9999
To learn numbers beyond 9999 and some basic concepts related to them
1
2.
Mathematical Operations
To perform mathematical calculations like addition, subtraction, multiplication
and division
4
3.
Multiples and Factors
To learn about multiples and factors of the given numbers
7
4.
Fractions
To learn to obtain the desired fraction
10
5.
Measurement of Length
To learn to measure the length of irregular shapes using a thread and a ruler
13
6.
Time and Calendar
To learn to make a calendar and measure time in hours, minutes and seconds
16
7.
Money
To make different combinations of the given amounts of money to get a sum
close to the given amount
20
8.
Lines of Symmetry
To identify the line of symmetry in the given figures and find out if every figure
has a line of symmetry or not
23
9.
Solid Shapes
To form various three-dimensional shapes using two-dimensional nets, and find
the perimeter of two-dimensional nets.
27
10.
Basic Geometry
To learn about points, lines and angles
31
11.
Data Handing
To make a bar graph using the given data
35
Classroom Activity
Measurement: To measure various things in a classroom
39
Data Handling: To make a bar graph using the data collected from a
provision store
40
Multiples and Factors: To find LCM and HCF using the date of births of
students
42
Projects
Answers
44
Activity Help Sheets
47
We already know gives an idea
of the previous knowledge
We will learn contains the aim
of the activity
Additional Projects and
Activities included
We need contains the list of
materials required
Special Features
of Viva Start Up
Maths Lab Activity
(3–5)
What to do explains the
detailed procedure
Riddle Time includes thoughtprovoking riddles based on
Higher Order Thinking Skills
What you have learnt includes
questions based on the concept
covered in the activity
Testing Time includes objective
and viva voce questions
iv
ACTIVITY 1
Numbers Beyond 9999
We will learn
We will learn numbers beyond 9999 and some basic concepts related to them.
We already know
We are familiar with numbers up to 9999.
We need
Number cards from Activity Help Sheet-1 and a pair of scissors
What to do
(i) Take out the number cards from Activity Help Sheet-1.
(ii) Pick any five cards and form a 5-digit number. Now using the same five cards, form four
more 5-digit numbers.
(iii) Put the cards back in the pile and shuffle them. Now, pick any six cards and make five
different 6-digit numbers using all the six cards.
(iv) Using all the 5-digit and 6-digit numbers formed by you, fill in the given table.
S. No.
1.
Six digits picked up
Five digits picked up
_______ _______ _______ _______ _______ ______ ______ ______ ______ ______ ______
Five numbers formed
Five numbers formed
_______ _______ _______ _______ _______ _______ _______ _______ _______ _______
2.
Greatest number formed _________________
3.
Smallest number formed _________________ Smallest number formed _________________
4.
5.
Numbers arranged in decreasing order
Greatest number formed _________________
Numbers arranged in decreasing order
_______ _______ _______ _______ _______ _______ _______ _______ _______ _______
Numbers rounded off to the nearest 100 and
arranged in increasing order
Numbers rounded off to the nearest 100 and
arranged in increasing order
_______ _______ _______ _______ _______ _______ _______ _______ _______ _______
6.
Expanded form of the greatest number
Expanded form of the smallest number
_______________________________________ _________________________________________
1
What you have learnt
We have learnt to form 5-digit and 6-digit numbers. We have also learnt some basic concepts
related to them.
1. Which greatest 5-digit number will you obtain, if you replace the
greatest number of your cards with 0?
2. Which smallest 6-digit number will you obtain, if you replace the
greatest number of your cards with 1?
Testing Time
1. Write the successor and predecessor of the following numbers.
Successor
Predecessor
(a) 71,006
(b) 3,86,794
(c) 6,84,728
(d) 10,009
(e) 4,55,500
(f ) 5,04,218
2. Fill in the blanks.
(a) 800000 + 20000 + 300 + 5 = _____________
(b) _____________ is the smallest 5-digit number in which no digit is repeated.
(c) _____________ is the greatest 6-digit number in which no digit is repeated.
(d) The predecessor of the smallest 6-digit number is _____________.
(e) The successor of the greatest 5-digit number is _____________.
2
3. Complete the patterns.
(a) 86,594; 86,694; 86,794;
(b) 1,03,569; 1,04,569; 1,05,569;
(c) 3,02,140; 3,12,140; 3,22,140;
(d) 46,589; 47,589; 48589;
(e) 1,11,346; 1,21,346; 1,31,346;
(f ) 6,72,814; 6,73,814; 6,74,814;
4. Answer orally.
(a) What is the place value and face value of the digit at the thousands place in the
smallest 6-digit number?
(b) What is the sum of the number 12,345 and the number formed on reversing the digits
of this number?
Riddle Time (HOTS)
1. Uncle Scrooge has 6 digits jumbled together. All the digits are different
and when rounded off to the nearest 100, they form 9,87,700. Which
digits does Uncle Scrooge have? Form the largest number using the
digits such that none of the digits is repeated.
2. Tin Tin has placed the largest 1-digit number at ten thousands place,
a number 3 more than the smallest 1-digit number at hundreds place,
a number 5 less than the smallest 2-digit number at ones place, twice
a number at hundreds place at thousands place and 0 at tens place.
What number has Tin Tin formed?
3
ACTIVITY 2
Mathematical Operations
We will learn
We will learn to perform mathematical calculations like addition, subtraction, multiplication
and division.
We already know
We know about various arithmetic operations.
We need
Number cards from Activity Help Sheet-1 and a pair of scissors
What to do
(i) Take out the number cards from Activity Help Sheet-1.
(ii) Select any six cards and form a 6-digit number. Note the number formed.
(iii) Put the cards back in the pile and shuffle them. Pick any six cards and form another 6-digit
number. Note the number.
(iv) Using the two numbers formed by you, fill in the given table.
S. No.
Observations
Number I ________
Number II ________
1.
Largest number formed on rearranging
the digits of the number
___________________
___________________
2.
Smallest number formed on rearranging
the digits of the number
___________________
___________________
3.
Sum of the successor and predecessor
of the number
___________________
___________________
4.
Difference between the successor and
predecessor of the number
___________________
___________________
5.
Product obtained on multiplying the
number with 45
___________________
___________________
6.
Quotient and remainder obtained on
dividing the number by 35
___________________
___________________
7.
Number obtained on rounding off the
number to the nearest thousand
___________________
___________________
4
What you have learnt
We have learnt to perform mathematical calculations using large numbers.
1. What sum will be obtained on rounding off Number I to the nearest hundred
and Number II to the nearest thousand and then adding them?
2. What is the sum of the next three consecutive numbers for Number I?
Testing Time
1. Fill in the blanks.
(a) Smallest 6-digit number + 1 = _________________________
(b) 30,562 – _____________ = 28,563
(c) 337 × 7,293 × 746 = 746 × _____________ × 7,293
(d) 357 × _____________ = 0
(e) 87,417 ÷ 100 gives quotient = _____________ and remainder = _____________.
2. Complete the patterns.
(a) 240; 480; 960; 1,920;
(b) 3,675; 5,175; 6,675; 8,175;
(c) 4,650; 4,550; 4,450; 4,350;
(d) 363; 1,089; 3,267; 9,801;
(e) 45,675; 45,925; 46,175; 46,425;
3. Choose the correct option.
(a) What remainder is left on dividing 4,984 by 27?
(i) 12
(ii) 16
(iii) 14
5
(iv) 15
(b) There are 525 apples in each box. There are 55 such boxes. How many apples are
there in all?
(i) 28,675
(ii) 28,707
(iii) 28,875
(iv) 21,475
(c) 14 × 60 – 30 × 16 – 18 × 20 + 30 × 40 =
(i) 1,200
(ii) 1,400
(iii) 1,300
(iv) 1,500
(d) A shopkeeper sold 12,078 kilograms of grains in October and November. What was
his daily sale?
(i) 200 kg
(ii) 199 kg
(iii) 198 kg
(iv) 150 kg
(e) Ananya bought four dresses for ` 12,048. Each of them costed the same. What will be
the cost of 37 such dresses?
(i) ` 1,10,444
(ii) ` 1,11,444
(iii) ` 2,04,832
(iv) ` 36,432
4. Answer orally.
(a) What is the difference between the largest 6-digit number and the smallest 5-digit
number?
(b) Which is greater: 9,275 ÷ 3 or 9,483 ÷ 3?
Riddle Time (HOTS)
1. I give 47,280 when I am multiplied by 5. What will
I give when multiplied by 8?
2. Jumbo collects 750 stamps every year. He has been collecting
stamps for the last 15 years. How many more stamps will he need
if he wants the number of his stamps to reach 20,250?
3. In what way should Genie add digit 1 to obtain the sum 12,345?
6