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6. Fun with Give and Take

Cricket Match

A cricket match in a stadium.

In a cricket match, Sri Lanka made 235 runs.

India has made 123 runs. How many more runs does India need to win?

To win India must make 236 runs.

Runs India needs to win:

236 - 123 = ?

Guess...

To win India needs

(a) more than 100 runs

(b) less than 100 runs

A question. A sparrow saying," let's subtract by first taking away Ones from Ones. Runs to win= 236 Runs by India= 123 runs needed= 236-123= 113.

An image stating, "So we are left with a hundred, a tens and three ones. To win India must make 113 runs.

To win India must make 113 runs


Try it Yourself

Geeta had ₹ 368 in her purse.

She bought a book for ₹ 123.

How much money is left in her purse?

Money left in her purse is ₹ 368 - ₹ 123 = ?

A girl holding a book with Rs. 123 written on it.

Guess...

Money left in Geeta's purse is

(a) more than 200

(b) less than 200

A subtraction question. Money in Geeta's purse= 368 Cost of book= 123.

The teacher should discuss with students which number is to be placed above and why.


Can You Help Nabeela?

Nabeela's mother sent her to the market to buy some things. She gave her ₹ 245. Nabeela bought 1 kg ghee for ₹ 127. The shopkeeper gave her back ₹ 98.

(Kilogram is written as kg.)

Did the shopkeeper give her the right amount?

A girl purchasing ghee from a shopkeeper.

Let's find out.

A subtraction question. Money Nabeela had= 245 Cost of ghee= 127.

We cannot take seven 1’s from five 1’s

So borrow 10’s

A borrow sum shown.

Now we have fifteen 1’s 

Subtracting seven ones from fifteen ones. Answer is 8 ones.

From fifteen 1’s take away seven 1’s. Only eight 1’s left.

Subtracting two tens from three tens to get only one tens.

Now take away 10’s. Only one 10’s left.

Subtracting one hundreds from two hundreds  to get only one hundreds.

Now take away 100’s. Only one 100’s left.

A bubble image stating," So tokens left are one hundreds, one tens and seven ones."

So tokens left are

The shopkeeper had to give Nabeela ₹ 118.

How much more money should the shopkeeper give Nabeela ?


Practice Time

1. Baby tortoise is 33 years old. Mummy tortoise is 150 years old. How much younger is Baby tortoise than Mummy tortoise?

Age of Mummy tortoise: 150 years

Age of Baby tortoise: 33 years

A Question solved. 150-33=117.

Baby tortoise is 117 years younger than Mummy tortoise.

2. Arvind has read 69 pages of a story book. Gouri has read 95 pages of that story book. Who has read more pages and how many more?

A Question. 95-59

Teachers should motivate students to decide which operation they have to use to solve a problem. More such exercises can be given where students decide the appropriate operation

3. Reena noted the electricity meter readings of her house. Last month's reading was 118 units. This month's reading is 193 units. How much electricity did she use in one month?

This month's reading _____

Last month's reading _____

A question. 193-118

She used _____ units of electricity.

4. Khushboo bought a shirt for ₹ 125 and trousers for ₹ 165. How much money did she spend altogether?

Bought a shirt for ₹ _____

Bought trousers for ₹ _____

A question. 165+125

She spent ₹ _____ altogether.

5. Solve the following: 

17 – 3 = _____

14 + 3 = _____

39 – 10 = _____

12 + 24 = _____

86 – 58 = _____

139 – 110 = _____

237 + 213 = _____

325 – 204 = _____

474 – 136 = _____

642 – 413 = _____

49 + 20 = _____

135 + 146 = _____

6. Check your answers yourself:

A solved question. 236-114=122 122+114= 236.

A solved question. 340-28=312 312+18= 340.

Check Rashi's subtraction using addition. Give her a  for every right answer.

A question. 384-243=141 141+243=384.

A question. 468-139=221 A blank 3*3 grid given with a + sign for solving the question further.

A question. 356-247=119. A blank 3*3 grid given with a + sign for solving the question further.

A question. 468-139=221. A blank 3*3 grid given with a + sign for solving the question further.

7. Fill in the missing numbers in the coloured boxes.

A question with missing numbers.

A question with missing numbers.

A question with missing numbers.

A question with missing numbers.

Girls purchasing mala from a mala seller.

If I take one more mala she will have 40 beads left!

The teacher should encourage students to discuss and correct the wrong answers. Children love to correct others' mistakes (for a change!) and also learn from this process.

Let's Deliver Letters

Postman Uncle is ill today. Let's deliver the letters for him.

A hut with numbers written in a grid form.

Write the correct room numbers on the letters. Then find the rooms in the above building and circle them.

481 482 483 484 485 486 487 488 489 490
471 472 473 474 475 476 477 478 479 480
461 462 463 464 465 466 467 468 469 470
451 452 453 454 455 456 457 458 459 460
441 442 443 444 445 446 447 448 449 450
431 432 433 434 435 436 437 438 439 440


Make a circle on room 455.

A letter with 445+10 and Room 455 written on it. A letter with 467+11 written and Room side is blank. A letter with 456-20 and Room 436 written on it. A letter with 430+20+13 written and Room side is blank.

A letter with 426+38 written and Room side is blank. A letter with 480-9 written and Room side is blank. A letter with 429+10+20 written and Room side is blank. A letter with 466-33 written and Room side is blank.

A letter with 450-19 written and Room side is blank. A letter with 498-23 written and Room side is blank. A letter with 452+18 written and Room side is blank. A letter with 430+15 written and Room side is blank.

A letter with 467+22 written and Room side is blank. A letter with 461+25 written and Room side is blank. A letter with 410+13+11 written and Room side is blank.

The teacher should encourage students to solve the problems mentally using the above chart.


Find the Missing Numbers

Look at the number patterns. Write the missing numbers.

a) 100, 200, 300, _____, _____, 600, _____

b) A train with seven boxes with numbers 900, 800, 700, ?, ?, 400 written on them.

c) 50, 100, 150, 200, _____, _____, _____, _____.

d) Six huts with numbers 300, 250, 200, ? ,? , ?

e) Six boats with these values ?, 25,35,45, ?, ?

f ) 280, 260, 240, _____, _____, _____, _____.

g) 125, 150, 175, 200, _____, 250, _____, _____.


Mental Maths

Two ants solving a mental maths question A. First ant: 45+35? 45+30+5? Second ant: 80-3-5=50-5=45.

Question B. Two intersecting lines used for solving questions.  What must be subtracted from 75 to get 50 as answer, and the same number is added to 50 to get the answer.

Question C. Two intersecting lines used for solving questions.  60 is added to 50 to get the answer and 60 is subtracted from 110 to get the answer.

Question D. Two intersecting lines used for solving questions.  120 is subtracted from 320 to get the answer and 120 is added to a number to get 320 as the answer.


Practice Time

Children comparing their pencils.

1. Indu's pencil is 15 cm long. Jyoti's pencil is 8 cm long. Whose pencil is longer? How much longer?

Packets of Salt and Sugar.

2. Ask your Papa or Mummy

Price of 1 kilogram salt –

Price of 1 kilogram sugar –

Which one is more costly? How much more does it cost?

Man cooking Chapatis.

3. Ajay cooked chapatis in 25 minutes. Then he made daal in 15 minutes. How much time did he take to cook both things?

4. Chanchal sells school sweaters. In 2 days she sold some red, blue and grey coloured sweaters.

Sweaters sold on first day are 38 red , 66 blue and 74 grey coloured.  Sweaters sold on second day are 40 red, 23 blue and 89 grey coloured.

Look at the above and answer the following:

(a) How many grey sweaters did Chanchal sell in 2 days?

(b) Did she sell more red sweaters than blue sweaters in 2 days?

(c) How many red and grey sweaters did she sell on the first day - more than 120 or less than 120? Tick ( ) the right answer.

more than 120 _____

less than 120 _____

(d) How many sweaters in all did she sell on the second day - more than 140 or less than 140? Tick ( ) the right answer.

more than 140 _____

less than 140 _____

5. Is Sangeeta right?

Sangeeta went to the market with her grandpa.

A shopkeeper selling oil at Rs. 70, Biscuits at Rs. 25, Ghee at Rs. 127 and 10kg rice bag for Rs 150.

She looked at the prices and said to her grandpa -

(a) Ghee is ₹ 102 rupees costlier than biscuits. _____

(b) Price of oil and ghee altogether is more than ₹ 200. _____

(c) Price of ghee and 10 kg rice is less than ₹ 300. _____

(d) Oil costs ₹ 40 more than a pack of biscuits. _____

Is Sangeeta right? Mark ( ) or (  ) in the box.

Can you find this without using paper and pencil?


Story Problems

Nisha and Sonu were making story problems. Nisha said - 13 boys and 14 girls in a class. Sonu, can you make a problem on it?

Sonu wrote There are 13 boys and 14 girls in a class.
How many students are there altogether?

You can also make story problems with your friends. Look at each picture and the words next to it. Write your problem below it.

A. 36 men and 52 women waiting for their turn

Men and women waiting outside a voting booth.

B. We have our mid-day meal in 20 minutes and play for 15 minutes.

Children eating food.


Children playing in the garden.

C. The post office is 1 kilometre from Shahid's home and 2 kilometres from his school.

Picture of a school building followed by a house at some distance and then a boy coming out of the post office.

D. Bunty has read 27 books and Babli has read 34 books.

Children reading books in a library.


Count to Subtract!

Dolma bought 4 dozen (48) bananas and gave one to each of her friends. 13 bananas were left. How many friends got a banana?

As you know, this can be found by counting forward from 13. It is easier to count in jumps of 10. You can also use Kittu's homeshown on page 29 to solve these problems.

A number line showing answer for 48-13=35.

48 – 13

10 + 10 + 10 + 5 = 35

So 48 – 13 = 35            


A. 56 – 37 = ?

Jumping numbers by 10 from 37 to 47 and then reaching 57 and coming back to 56 by moving 1 step back.

10 + 10 – 1 = _____

So 56 – 37 = _____

B. 60 - 45 = ?

Jumping numbers by 5 from 45 to 50 and then jumping by 10 and reaching 60.

5 + 10 = _____

So 60 – 45 = _____

C. 80 - 59

Jumping numbers by 1 from 59 to 60 and then jumping by 10 and reaching 70 and then 80.  

_____ + _____ + _____ = _____

So 80 - 59 = _____

 

D. 85 - 63 = _____

E. 84 - 69 = _____

F. 60 - 20 = _____

G. 90 - 50 = _____


All the King's Horses....

Once there was a king who could count only up to 9. Up to what number can you count?

The king loved horses. But he could never count all of them. He kept them in such a way that he needed to count only up to 9 from each side.

A king counting horses from a 3*3 grid with 3 horses in each box except for the middle one.

How many horses in all did the king have? _____


One day a visitor with 4 horses came there. It was getting dark so he wanted to stay there at night. But the horse-keeper was scared. If the king saw these extra horses he would be very angry! The visitor said - do not worry. The king will never know. So he arranged the horses like this:

Arrangement of horses in a 3*3 grid where  Row 1 has  2,5,2 horses respectively. Row 2 has  5, blank space, 5 horses respectively. Row 3 has 2,5,2 horses respectively.

How many horses are there now? _____

King counting the horses with 9 horses on each side.

At night the king came to count the horses. Along each side he counted 9 horses. Ah! That's fine – he said. Then he happily went to sleep.

In the morning the clever visitor tried another trick. He took out his own 4 horses. But he also ran away with some of the king's horses. He left the king's horses standing in this way.

The silly king did not find any horse missing. Can you help him?

Arrangement of horses in a 3*3 grid where  Row 1 has  4,1,4 horses respectively. Row 2 has  1, blank space, 1 horses respectively. Row 3 has 4,1,4 horses respectively. 

How many horses are now left? _____

How many of the king's horses were taken away? _____

(Based on a Tamil folk story from the book "Numeracy Counts!")

� ★ Did the visitor have any other way of arranging these twenty horses? Try other ways


Puzzle:-

What numbers are we?

If you add us both you get 100.

The difference between us is also 100.