syllabus guidelines 4

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Topics Page No. n Syllabus Guidelines 4 n Spot the Top 6 n A Challenge 7-8 n Code-Decode 9 n Arrange The Series 10 n Math Mastery 11 n Spot The Symbol 12 n Brain Twisters 13 n Compliment For You 14 n Money Maze 15 n Triangulating And Squaring 16 n Help Me Out 17 n Mirror Symmetry 18 n Answer The Following Questions 19 n Money Activity 20 n Spot The Error 21 n Mathematical Wizard 22 n Roman Numbers 23 n Which Are Alike 24 n Multiplies And Factors 25 n Magical Multiplication 26 n At The Fair 27 n Match The 3 Columns 28 n Answers 29-30

CONTENTS

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Based on CBSE, ICSE & GCSE Syllabus

1. Geometric Shapes & Spatial Understanding • Draws a circle free hand and with compass. • Identifies centre, radius and diameter of a circle. • Uses Tangrams to create different shapes. • Tiles geometrical shapes: using one or two shapes. • Selects a tile among a given number of tiles that can tile a given region both intuitively and experimentally.

• Explores intuitively the area and perimeter of simple shapes. • Makes 4faced, 5faced and 6faced cubes from given nets especially designed for the same. • Explores intuitively the reflections through inkblots, paper cutting and paper folding. • Reads and draws 3D objects, making use of the familiarity with the conventions used in this. • Draws intuitively the plane, elevation and side view of simple diagram.

2. Numbers and Operations • Writes multiplication facts. • Writes tables upto 10x10. • Multiplies two and three digit numbers using lattice algorithm and the standard (column) algo rithm.

• Divides a given number by another number in various ways such as: by drawing dots. by grouping. by using multiplication facts. by repeated subtraction.

• Applies the four operations to life situations. • Frames word problems. • Estimates sums, differences and products of given numbers.

3. Mental Arithmetic • Adds and subtracts multiples of 10 and 100, mentally. • Completes multiplication facts by adding partial products, mentally (e.g. 7x 6 = 5 x 6+2 x 6).

4. Fractional Numbers • Identifies half, one fourth and three fourths of a whole. • Identifies the symbols, ½, ¼, ¾. • Explains the meaning of ½ , ¼ and ¾ . • Appreciates equivalence of 2/4 and 1/2; and of 2/2, 3/3, 4/4 and 1.

5. Money • Converts Rupees to Paise. • Adds and subtracts amounts using column addition and subtraction with regrouping.

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• Uses operations to find totals, change, multiple costs and unit cost. • Estimates roughly the totals and total cost.

6. Measurement Length • Relates metre with centimetre. • Converts metre into centimetres and vice versa. • Solves problems involving length and distances. • Estimates length of an object and distance between two given locations.

7. Weight • Weighs objects using a balance and standard units. • Determines sums and differences of weights. • Estimates the weight of an object and verifies using a balance.

8. Volume • Measures volumes of given liquid using containers marked with standard units. • Determines sums and differences of volumes. • Estimates the volume of a liquid contained in a vessel and verifies by measuring.

9. Time • Computes the number of weeks in a year. • Correlates the number of days in a year with the number of days in each month. • Justifies the reason for the need of a leap year. • Reads clock time to the nearest hours and minutes. • Expresses time, using the terms, ‘a.m.’ and ‘p.m.’ • Estimates the duration of familiar events. • Finds approximate time elapsed by (to the nearest hour) forward counting. • Computes the number of days between two dates.

10. Data Handling • Collects data and represents in the form of bar graphs; • Draws Inferences by discussing with the teacher.

11. Patterns • Identifies patterns in multiplication and division, multiples of 9 • Casts out nines from a given number to check if it is a multiple of nine. • Multiplies and divides by 10s, 100s. • Identifies geometrical patterns based on symmetry.

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Spot The Top Find the difference of the two next‐door numbers and write the total above. In this way Spot the Top.

One is done for you

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This is a challenging one. Can you solve this in the given time?

Arrange the numbers 1 to 9 in such a way that the total of the numbers along each diagonal is 15 (Each number must be used only once).

A Challenge

Stop Start

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1 .

TTH TH H T O

2.

L TTH TH H T O

3.

TTH TH H T O

4 .

TTH TH H T O

5 .

TTH TH H T O

6.

TTH TH H T O

Can you match the abacus with the number that is represented by it.

59321 600384

71341 31316

94521 43121

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Write 4 digit numbers using the following numbers only once at a time. Also arrange them in ascending order.

Priya took some calls of his brother Sunny while he was in the market. But she wanted to play pranks on her brother and this was the message she noted down. Please help sunny to trace out the number and enable him to give a call back who called him? ( i ) Call from kiran

Please call back need to have serious discussion ‐ Kirans number 10934 ‐ 1123 606 ÷ 2 276 × 2

( i i ) Asha from Library. She will be free by 5 o’ clock. She wants you to pick her from library. Call her to decide the time of meeting. Her number. Asha’s number 843 – 143 10431 – 2000 633 ÷ 3

( i i i ) Nishant wants your homework diary. Tell him when he can collect that by calling at 4905 × 2 18745 ÷ 5 10253 – 10195

Nishant’s number.

Code ‐ Decode

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Priya’s mother gave her thirty cards having some numbers which were arranged in some order but the deck of card slipped from her hands and cards were shuffled. She only remember that the first card was 900 and the last card was 68200. Can you help her to arrange rest 28 cards in the order.

55006 62808 62880 50506

9090 44008 11128 11821 50006

51151 20120 33110 36170 47700

7175 31617 59315 61190 21912

31171 23171 17171 41428 47161

55005

40080

44080

50080

Arrange The Series

4

11

12

3 9

6

1 2

4

5 7 8

10 11

You have to attempt these questions

in 10 minutes. Check how fast are you?

( i ) Greatest number of 5 digit.

( i i ) Smallest number of six digit.

( i i i ) How many zeroes are there in one lakh.

( i v ) Place value of 5 in 395450.

(v ) Next three number in the following pattern.

30321, 30326, 30331

(v i ) Greatest number made by digits 3, 5, 0, 9.

(v i i ) Mark smallest and largest number 71392, 31614, 21615, 83172,

9000.

(v i i i) Predecessor of 6669.

( i x ) Successor of 2019.

( x ) What pattern is followed in following numbers ?

2168, 2173, 2178, 2183, 2188, 2193

Analysis and Awards

≥ 9 correct Answers



Sorry ! Try Again < 5 correct Answers

Math Mastery Quiz ‐1

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( i ) 79432 Seventy four thousand four hundred thirty two

( i i ) Three lakh fourty 80035

( i i i ) Four lakh three thousand ninety 400390

( iv) Fifty two thousand four hundred 43592

thirteen

(v ) 593621 Six lakh eighty

thousand seven hundred

(v i ) Thirty three thousand three 300000

hundred thirty three

(v i i ) Fifty thousand 5000

(viii)One lakh three hundred twenty nine 100339

( i x ) Sixty one thousand and ten 99660

( x ) Nineteen thousand three hundred 110092

and forty two

Put >, <, = in the following blank circles

Spot The Symbol

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1. How can you obtain 16 using only 4s. Give two methods. 2. To build this 2 step double sided staircase, Rahul needs 4

squares.

If I ask you to make 4 step double sided staircase. How many square do you need.

3. I am even You will find me if you count in tens. I am less than 50 but more than 32. Can you guess which number am I.

4. Tom and Jerry live in a multistorey appartment. From the first to the fifth floor, there are 52 steps. Tom lives on the first floor. How many steps would he climb to get to Jerry’s flat which is on the sixth floor (Take equal stair between the floor).

5. Using a calculator, a student accidentally multiplied 30 by 10 when he should have divided by 10. What is the correct answer.

Brain Twisters

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There is a compliment hidden in the puzzle. Answer the following correctly and read the sentence in the shaded area.

1 . 60 seconds make one ____________ .

2 . Multiplication is the repeated __________ .

3 . Unit to measure length is _____________ .

4 . Division is also the repeated ____________ .

5 . The shape of the earth : ______________ .

6 . Dividend = Divisor × Quotient + _____________ .

7 . The unit of measurement of volume is called _____________ .

8 . Shape made by four equal side is _______________ .

9 . This hand is the hour hand and indicate time in hours. ________ .

10 . In number 100, zero is at unit place and _____________ place.

1

2

3

4

6

5

7

8

9

1 0

Compliment For You

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Go through maze, collecting and losing your money as you go. You can not go through any cell more than once, and can only go into a cell through a gap, for example, you can not go from 5 to 6, or from 7 to 3.

Money Maze

Which route gives you the highest return? How much is it? Which route gives you the lowest return? How much is it?

Is it a decimal or is it a fraction, Should I divide or use subtraction?

Can anyone tell me what is this shape, Do we use a ruler or maybe a tape?

One hundred centimetres make one metre, How many millilitres to a litre?

Push the buttons on a calculator, Teacher shouts ‘Use your brains!’

‐ you’ll need them later. Three times six, find the factor,

(But not using a protractor)

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Cut out the 5‐piece puzzle given below and with its pieces first form

a triangle, and then a perfect square.

Triangulating And Squaring ...

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Please help me!! Someone has embedded me in this web. The only thing you have to do is colour all the boxes having multiples of three or five. Recognise me and give me a suitable name.

Help Me Out

3

65 40 45

3

30

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A small safety mirror would help children understand this page. Encourage him to look

for symmetry in objects around you and in books

2. Finish off the other half of these pictures to make them symmetrical

3 . Now colour your own symmetrical pattern on the grid below.

Mirror Symmetry 1. Tick the symmetrical shapes.

MIRROR SYMMETRY is when two

halves of something

are identical

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1 . How many are in ?



4. How many are in ?



7 . If = 1, = ___.

8 . If = 1, = ___.

9. If = 1, =____.

10. If = 1, =____.

Answer the following questions.

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Instructions :

It cost for an adult to go swimming and for a child

it cost .

Now answer the following.

1. How much would it cost for Sheena to go swimming with her mom?

2. How much would it cost for John to go swimming with his dad?

3. How much would it cost Geeta to go swimming with his mom and dad?

4. How much would it cost for Dev to go swimming with his brother Som, and their mom and dad?

5. A family ticket costs Rs 250, would it be cheaper for them (refer Q. 4) to buy a family ticket?

6. On a weekend it costs Rs 10 more to go swimming for each person. If Dev and Sheena go swimming on their own on a Thursday how much cheaper would it be than going at a weekend?

MONEY ACTIVITY

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Mr. Gupta purchased items on six days of a week. The cashier made error in some of the bills. Can you check the bill and spot the error made in that bill. Colour the error box yellow and write correct total in box.

Spot The Error

HUSSAINGROCERY HUSSAINGROCERY

115 116

O Juice 2 14.00 28.00 Pens 5 10.00 5 .00 0 Sugar 2 12.00 12.00 Notebook 4 2 6.00 Pen 1 10.00 10.00 pencil 3 2.00 6.00 Total 50.00 Book 1 35.00 35.00

Total 601.00


117 118

Maggie 5 10.00 50.00 Dal chana 1 kg 30.00 30.00 Sauce 1 30.00 30.00 Dal Moong 1 kg 28.00 20.00 Blade 10 5.00 50.00

Rice 1kg 15.00 15.00 Chocolate 6 15.00 75.00 Real Juice 2pkt 15.00 30.00 total 205.00

Total 105.00 Correct total : _____ Correct total : _____


119 120

Milk 2 kg 20.00 20.00 Butter 2 30.00 60.00

Soda line 6 10.00 60.00 Tea 1 kg 50.00 50.00

Total 130.00

Monday : 25th Sept 26thSept BillNo : BillNo : Item Qty Rate Total Item Qty Rate Total

27thSept 28thSept BillNo : BillNo : Item Qty Rate Total Item Qty Rate Total

29thSept 30thSept BillNo : BillNo : Item Qty Rate Total Item Qty Rate Total

Correct total : _____ Correct total : _____

Bread 1 15.00 15.00 Pepsodent 2 30.00 60.00 Soap 5 12.00 48.00 Total 208.00

(per kg)

(Per kg)

Correct total : _____ Correct total :_____

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3 ×

6 c. Using the digits 0, 1, 2,

3, 4, 5, 6, 7, 8, 9 only once, can you solve the following addition?

d. Put the symbols +, - or × between the numbers 1,2,3,4,5,6,7,8 and 9 such that the answer is 100

e.Think of a number between 1 and 9. Double the number. Multiply the number by 3. Divide the product by 6. What do you get?

b. This 4-digit number less 450 when divided by 9 gives 405. Can you name the number ?

a. Think of a 3-digit number which when divided by 12 gives 9.

Mathematical Wizard

1 . Write T for true or F for false.

a . Every multiplication sentence has 2 division facts.

b . Every division sentence has only 2 multiplication facts.

c . A multiplication sentence that has 2 identical factors has 2

division facts.

d . A division sentence in which the divisor is 1 has only one

multiplication fact.

e . When we divide a number by 0, we get 0.

2 . The Great Gonzo, is a mathematical wizard. Here are some

problems at his show. How many of them can you solve?

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Select the alphabets from the following which has some value in roman numbering. Also circle them.

A C D F H I K L M N

O S T U V W X Y Z

Roman Numbers

Now its your turn Which of the following are

wrongly written. Circle them XXIX VVV XVI

DDD DC CD

XL XC MMM Write the mirror image of

the following numbers and their values in hindu arabic.

Do you know • When a numeral of smaller value is written just before another of greater

value, the value of the resulting numeral is equal to their difference. Ex. IX = 10 – 1 = 9; CD = 500 – 100 = 400.

• When a smaller numeral is written to the right of the larger numeral, the smaller is added to the larger

Ex. XI = 10 + 1 = 11; VI = 5 + 1 = 6 XIII=10 + 3 = 13; DC= 500 + 100 = 600

• When a number comes in succession then the value is added Ex. XXX = 10 + 10 + 10 = 30; III = 1 + 1 + 1 = 3

MMM = 1000 + 1000 + 1000 = 3000 • V, L, D (which stands for 5, 50, 500) never repeat. • V, L, D are never subtracted. • I can be subtracted from V and X once only. • X can be subtracted from L and C once only.

M irro r Image

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1 . XXXIX a. 900 A. Three thousand

2 . XXV b. 600 B. One hundred fifty

3 . MMM c. 150 C. Thirty

4 . CM d. 25 D. Thirty nine

5 . DC e. 30 E. Four hundred

6 . XXX f. 400 F. Eighteen

7 . XVIII g. 39 G. Seven

8 . VII h. 18 H. Six hundred

9. CL i. 7 I. Nine hundred

10 . CD j. 3000 J. Twenty five

Match the following :

Which are Alike!

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Write the factors and multiples of each of the figure made in the grid. One is done for you.

a .

b .

c .

d .

e .

Now write square of

4 = 3 = 5 =

Multiples and Factors

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For each section fill in the blank squares by working out what numbers multiply to the totals in the rows and columns. One is done for you.

10 12 120 5 10 50

50 120 Must use a 10 somewhere.

40 77


4 9 14


66 10


21 90


120 50 50 120 Must use a 10

somewhere.

70 54


12 9


1

48 6 8 Must use a 1

somewhere.

Magical Multiplication

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If it is 9. 54 a.m, how long have we got before

we must leave?

Answer these questions on time. 1. Kiran must be at the fair on the 7th of

.................(write the month) at............am.

2. We must be at home

by 11.45 am and it takes us 30 minutes to

go home.

They must leave the fair at .................a.m.

3. Kavita and Kiran compare times on their watches

4. After two rides they see a clock.

Draw the time on this clock face.

Write the time in words.

....................................................................... 5.

Dear Kiran Meet me at the entrance to the fair on the 7th day of the 7th month at 09:00 hours Love Kavita.

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6

3 9 10

11 1 2

4 5 7

8

At the Fair

My friend Kavita sent Kiran a note. It gives you some of the answers you

need for this page

Don’t worry if your child is still finding it difficult to read the time. Help her by using time

in day‐to‐day life, for example let’s see if we can set the table in less than 3 minutes. What time does your

favourite programme start? How many more minutes is that?

09 54

12

6

3 9 10

11 1 2

4 5 7

8 09 03

Write the difference in the times

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1 . 1 2 5 5

+ a. 1 3 A.

5 3 5 5

−

2. 1 3

10 10 + b.

3 5 B. − 6 4

7 7

3. 2 5 21 21

+ c. 6 7 C.

22 0 34

−

4 . 8 2

35 35 + d.

4 11 D.

5 2 5 5

−

5 . 4 2 7 7

+ e. 11 13 E.

8 2 7 7

−

6. 2 9 17 17

+ f. 2 5 F.

7 3 11 11

−

7 . 1 3 11 11

+ g. 2 7 G.

2 1 3 3

−

8 . 6 5 13 13

+ h. 11 17 H.

25 3 26 26

−

Match The 3 Columns

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Page 6

11 33 33 33 52 28

19 24

5

27 84 13

44

50 6

6

9 52 28

43 24

19

6 12 45 2 51 43 49

56

51 20 31

22 6

16

Page 7

5

1 2

3

4

6

7

8 9

Page 8 5 59321 2 600384 4 71341 3 31316 1 94521 6 43121

Page 9 1347 2568 1238 1374 2586 1283 1437 2658 1328 1473 2685 1382 1734 2856 1823 1743 2865 1832 3147 5268 2138 3174 5286 2183 3417 5628 2318 3471 5682 2381 3714 5826 2813 3741 5862 2831 4137 6258 3128 4173 6285 3182 4317 6528 3218 4371 6582 3281 4713 6825 3812 4731 6852 3821 7134 8256 8123 7143 8265 8132 7314 8526 8213 7341 8562 8231 7413 8625 8312 7431 8652 8321

(i) 9811 303 552 (ii) 700 8431 211 (iii) 9810 3749 58

ANSWERS Page 10

55006 25 44080 17 62808 28 62880 29 50506 22 55005 24 50006 20 11821 5 11128 4 44008 16 9090 3 51151 23 20120 7 33110 12 36170 13 47700 19 40080 14 21912 8 61190 27 59315 26 31617 11 7175 2 50080 21 31171 10 23171 9 17171 6 41428 15 47161 18

Page 11 (i) 99999 (ii) 100000 (iii) 5 (iv) tens, thousands (v) 30336, 30346, 30346 (vi) 9530 (vii) 21615smallest, 83172 largest (viii) 6668 (ix) 2020 (x) number skipped by 5

Page 12 1. > 2. > 3. > 4. > 5. < 6. < 7. > 8. < 9. < 10. <

Page 13 1. 4 + 4 + 4 + 4; 4 × 4 2. 16 3. 40 4. 65 5. 3

Page 14 1

2

3

4

6

5

7

8

9

10

M I N U T E

A D D I T I O N

M E T E R

S U B T R A C T I O N

S P H E R E

R E M A I N D E R

S H O R T E R

S Q U A R E

C U B I C

T E N S

Page 15 The highest integer : 1. 100 2. 100 – 10 = 90 3. 90 + 150 =240 4. 240 – 50 = 190 8. 190 + 120 =310 7. 310 – 20 = 290 6. 290 + 145(50%) = 435 10. 435 – 50 = 385 11. 385 × 2 = 770 15. 770 – 10 = 760 16. 760 + 360 = 790

Lowest integer : 1. 100 5. 100 – 50 = 50 9. 50 + 10 = 60 10. 60 – 50 = 10 6. 10 + 5 = 15 7. 15 – 20 = – 5 11. –5 × 2 = – 10 15. –10 –10 = – 20 16. –20 + 30 = 10

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Page 18 1.

Page 19 1. 2 2. 3 3. 2 4. 6 5. 3 6. 2 7. 1/6 8. 1/3 9. 1/2 10. 2/3

Page 20 1. Rs. 150 2. Rs. 150 3. Rs. 2504. Rs. 300

5. yes 6. Rs. 20 Page 21 bill 115

sugar 2 12.00 Rs. 24.00 correct total Rs. 62.00

bill 116 Notebook 4 2.00 Rs. 8.00 correct total Rs. 99.00

bill 117 chocolate 6 15.00 Rs. 90.00 correct total Rs. 220.00

bill 118 dal moong 1 28.00 Rs. 28.00 correct total Rs. 113.00

bill 119 milk 2 20.00 Rs. 40.00 correct total Rs. 150.00

bill 120 soap 5 12.00 Rs. 60.00 correct total Rs. 195

Page 22 1. a T b.T c. F d.F e. F

2. a. 108 b.4095 c.

859 +743 1602

or

849 +753 1602

d. 1 + 2 + 3 + 4 + 5 + 6 + 7 + (8 × 9) = 100 e. The number you started with.

Page 23 1. C, D, I, M, V, X 2. VVV, DDD

3.

Mirror Image

4 6

9 11

3 3

19 19

Page 24 1. g D 2. d J 3. j A 4. a I 5. b H 6. e C 7. h F 8. i G 9. c B 10. f E

Page 25 b 9 × 12 = 108 c 2 × 3 = 6 d 7 × 4 = 28 e 3 × 9 = 27 Square of 4 = 16, square of 3 = 9, square of 5 = 25

Page 26

Page 27 1. July, 9 AM 2. 11.15 AM 3. 2 minutes

4.

12

6

3 9 10

11 1 2

4 5 7

8 nine fifty four 5. 1 hours 21 minutes

Page 28 1. b D 2. f A 3. a G 4. g B 5. c E 6. h C 7. d F 8. e H

syllabus guidelines 4

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