# Maths – Thursday 14th January

First of all, check your work from yesterday and make sure that you are happy with multiplying two 2-digit numbers.

We will then look at multiplying a 3-digit by a 2-digit number using the written method shown.

Watch the examples given on the slides below and then practise using the worksheet.

Some of you will be able to work through the whole session in one go but some of you may do half today (up to and including question 4) and then do the rest tomorrow.

There is an extra question to investigate below too should you need it.

**You should spend between 1 hour and 1 hour 15 minutes on this.**

**LESSON SLIDES**

**WORKSHEET**

**CHALLENGE**

I think the answer to 25×111=2774.

I notice that the 100s and 10s are counting up from 4.

No it sometimes works.

Basicly all the columns count up or down.

Most of the numbers are even accept from 111 and 553

When does the pattern stop?

Maths worksheet

1a

=39

=390

b

=260

=2600

c

=100

=1000

d

=816

=8160

2

=12,288

3

4968

4

=4402

=11342

=15502

=4392

Well done Mia.

I think 25×111=2775.

I notice that most numbers are the same especially 2.

No it only works sometimes because it is most likely different numbers.

Basicly the number are in 2s from 24 and 4 to 26 to 6.

They are Basicly all even number accept from 553 and 111.

What do you notice about the middle two numbers?

What happens to the ones digit?

Mr Bushell

There are only 4 Maths questions on the worksheet, is that correct?

There is a second side showing questions 5 to 8.

Maths challenge

25×111=2775

I notice the two numbers in the middle In the answer are the same and the one s digit in 22,23,24,25 the numbers in the middle are 2 times higher. I don’t know if it always work’s?

This is a good thing to notice Michael – well done!

See if you can investigate further. Maybe write down the pattern of numbers and see what you notice.

2553

2664

2775

2886

2997

3108

Mr Bushell

maths:

1. a. 39 390

b. 260 2600

c. 100 1000

d. 816 8080

2. a) 293 2310

b) 512×4 512×20

3. Brett didn’t add the extra 10 and the answer is 6922

4. a) 4260 b) 15502 c) 11342 d) 4392

5. a. 310×20=6200 b. I chose this one because its the closest to each number c. Filip d. 5852 e. I don’t actually know

I got up to to here

Well done Kiran.

Try 4a again (142 x 31).

Mr Bushell

Worksheet

1) a

13

3

——

39

——

B.

130

2

———

2 6 0

———

C.25

4

——

001

——

2 2

I don’t get question 2

Hello Rihanna

For 2a, the question is 231 x 13. It has been broken down into 231 x 3 and 231 x 10. 231 x 3 is 693 and 231 x 10 is 2310. To find the overall product you would then add the two parts together (693 + 2310). Have a try!

12×4=48

12×40=480

206×3=618

206×300=61,800

132×23=3036

326×32=10,432

248×21=5,208

112×63 is the answer

Well done. Now try the worksheet.

Mr Simmons did not give me my book so I had to do it on lined paper

That’s fine Bella! Maths works on lined paper too!

Hope you’re ok.

Mr Bushell

Maths worksheet

~1~

A

13×3=39

13×30=390

B

130×2=260

130×20=2600

C

25×4=100

25×40=1000

D

204×4=816

204×40=8160

~2~

Stuck.

~3~

Stuck again

~4~

A

142×31=4402

B

Stuck

C

214×53=11342

D

24×183=4392

The questions you have answered are absolutely fine Saheera.

The idea is to multiply the 3-digit number firstly by the ones of the 2-digit and then by the tens.

So for 231 x 13 you would do 231 x 3 and then 231 x 10.

For 512 x 24 you would do 512 x 4 and then 512 x 20.

Have a go at these two and see how you get on.

Mr Bushell

Maths worksheet

1a

13×3=39

13×30=390

b

130×2=260

130×20=2600

c

25×4=100

25×40=1000

d

204×4=816

204×40=8100

2

512×24=12,288

3

4968

4

142×3=4402

214×53=11342

337×45=15502

24×193=4392

Well done Malaki. Check 204 x 40.

1) a) 39 390 b) 260 2600 c) 100 1000 d) 816 8160

2) (512×4) (512×20)

3) Insted of x by 20 he x by 2 4968

4) 4402 15502 11984 4392

5) 5700 I chose that because it is closest Filip 5852

6) 6656 m2 3,756009615384615

7) > >

8) 11152 pence

A superb effort Franek!

I do have a couple of questions:

Question 6 – It asks how many football pitches could fit inside the field. Is it possible to have 3.7560096 football pitches? What would the answer have to be?

Question 8 – Can you write 11152 pence in pounds and pence?

Then try the challenge question. Investigate it in detail!

Great work!

Mr Bushell

4?

111.52 pounds

Hello Franek

Would you be able to fit 4 whole pitches into that space?

Mr Bushell

i did half of the work sorry i didnt finish also some was quite easy so i did something

Ok.

Feel free to try the second half.

Mr Bushell

Maths

1. 13×3=39

13×30=390

130×2=260

13×20=2600

25×4=100

25×40=1000

204×4=816

204×40=8160

2. 231×13=3003

512×24=12’288

3. Brett’s mistake was putting the 18 in the wrong place. 4968

4. 142×31= 4402

214×53=11’432

337×46=15’502

24×183=4338

5. 300×20=6000-148- it is less and close is the answer.

300×19=5700-152

Filip- answer: 5852

Whitney thought less than 10x and Nijah thought up to 100x.

6. 6656

3

7. >

>

It is the same symbol.

8. 697

£111.52

25×111=2775

I notice that 111 times a number has a difference on its ones in the thousands.

Hello Hargun

Well done! You show a really good understanding.

Check 4d (24 x 183).

For the challenge, try to investigate it a little more. Each time you add 111, what do you notice about each digit? List the numbers you make and see what is the same and different.

Mr Bushell

Hi thanks for reminding me and the answer was 4392

Many thanks.

Maths

1.13 x 3 = 39

13 x 30 = 390

130 x 2 = 260

130 x 20 = 2600

25 x 4 = 100

25 x 40 = 1000

204 x 4 = 816

204 x 4 = 8160

2. 231 x 31 = 2643

512 x 24 = 3288

3. Brett carried 6 x 3 = 18 and he was not lyning the numbers up correctly.

The actual answer is 4860

4. 142 x 31 = 4402

214 x 53 = 20742

337 x 46 = 16102

24 x 183 = 4392

Hello Talal

Question 1 and 4a and 4d are fine. Double check the others.

Don’t forget that you multiply the 3-digit number by the ones digit of the 2-digit number, and then by the tens digit.

You can then add the 2 parts together.

Mr Bushell

25×111=2775

Alex has the correct answer.

112×63 is bigger than 181×2

380×24=9120

Worksheet

1.

A. 13×3=39

13×30=390

B. 130×2=260

130×20=2600

C. 25×4=100

25×40=1000

D. 204×4=816

204×40=8160

2.

231×13=3003

512×24=12288

(512×4) ( 512×20)

3.

216×23=4968

Brett made a mistake by putting his calculations in the wrong columns

4.

A. 142×31=4402

B. 337×46=15302

C. 214×53=11342

24×183=6392

Challenge

The answer is 2775.

I notice that the numbers are increasing by 111.

Yes.

Hello Alex

Overall, you have done well here. Check 4b and 4d.

Feel free to carry on with questions 5 onwards.

For the challenge, look carefully at the patterns formed by adding 11 each time. How do the digits change?

Mr Bushell

3 sorry

I notice that the numbers go up by 111 and the last number from the answer is the same as the last number to the digit in the question.

It only works if the question has 11 in it.

i did half of because it was difficult some were quite easy and i am exhausted