addition subtraction. reasoning and problem solving. · expensive and least expensive sunglasses! a...

Welcome to your maths lessons this week!

This week we’re going to re-visit and revise addition and subtraction.

We will check our written methods are secure and

accurate for arithmetic and then that we can apply that knowledge

in reasoning and problem solving.

Hope you enjoy it …

Warm up

4Challenge

17 Extra challenge

224

Double it Treble it 3/7 of it

x 8 + 24 + 168

+ 11 Third of it ÷ 8

- 3 x 5 Treble it

÷ 9 - 29 + 93

Halve it 2/3 of it Double it

x 5 ÷ 8 - 259

- 11 + 49 20% of it

x 3 Third of it x 13

Answer = Answer = Answer =

Warm up

4Challenge

17 Extra challenge

224

Double it Treble it 3/7 of it

x 8 + 24 + 168

+ 11 Third of it ÷ 8

- 3 x 5 Treble it

÷ 9 - 29 + 93

Halve it 2/3 of it Double it

x 5 ÷ 8 - 259

- 11 + 49 20% of it

x 3 Third of it x 13

Answer = 27 Answer = 19 Answer = 325

QFL: Can I use an efficient method for addition?

QFL: Can I use an efficient method for addition?

Questions to think about …

Is the column method always the best method?

When should we use mental methods?

What happens when there is

more than 9 in a place value column?

Can I make an exchange between columns?

Which methods would you use to solve

these calculations? Mental or written?

Can you solve them?

345 + 10 =

1818 + 70 =

5813 + 1359 =

826 = 800 + ? + 6 =

? = 6000 + 90 =

53689 + 8014 =

QFL: Can I use an efficient method for addition?

345 + 10 = 355

1818 + 70 = 1888

5813 + 1359 = 7172

826 = 800 + ? + 6 = 20

? = 6000 + 90 = 6090

53,689 + 8014 = 61,703

ANSWERS

Let’s remind ourselves of how we use the

column method for addition

4 6

8+• Put the numbers into a column

• Put the higher value number at the top

• Line up the lower number so it is in the correct

place value columns

• Add the units first and then work from right to left

• If you need to exchange between columns place

your 1 underneath the bottom line

11

7

5

3

32,461 + 4852 = 37,3133 2 1

24

331

Complete the following:

A) 395 + 316 =

B) 4731 + 721 =

C) 1987 + 634 =

D) 5871 + 8992 =

E) 66,867 + 8749 =

F) 95,907 + 5363 =

G) 48,276 + 52,613 =

H) 76,387 + 49,654 =

Complete the following:

A) 395 + 316 = 711

B) 4731 + 721 = 5452

C) 1987 + 634 = 2,621

D) 5871 + 8992 = 14,863

E) 66,867 + 8749 = 75,616

F) 95,907 + 5363 = 101,270

G) 48,276 + 52,613 =100,889

H) 76,387 + 49,654 =126,041

ANSWERS

B

A

C

ANSWERS

749115,02814,441

18,480

C

B

A

QFL: Can I use an efficient method for subtraction?

Starter

Starter

ANSWERS

795

93

QFL: Can I use an efficient method for subtraction?

Questions to think about …

Should I use a written or mental method?

Does it matter which number goes on top?

What do I need to think about when setting out my work?

Will I have to exchange between columns?

Which methods would you use to solve

these calculations? Mental or written?

Can you solve them?

545 - 30 =

7913 - 1359 =

2898 - 70 =

? = 3000 - 50

53689 - 8014 =

QFL: Can I use an efficient method for subtraction?

ANSWERS545 - 30 = 515

7913 - 1359 = 6554

2898 - 70 = 2828

? = 3000 - 50 = 2950

53689 - 8014 = 45,675

Let’s remind ourselves of how we use the

column method for subtraction

0 5

1-• Put the numbers into a column

• Put the higher value number at the top

• Line up the lower number so it is in the correct

place value columns

• Subtract the units first and then work from right to

left

• If you need to exchange between columns cross

out the number you’ve exchanged from, replace it with the new number and carry the 1 back

2

1

8

2

9

131,056 – 2,128= 28,9283 1 6

82

82

402 1

Complete the following:

A) 345 - 60 =

B) 7064 - 502 =

C) 4648 - 2847 =

D) 80345 - 4219 =

E) 45,536 - 8427 =

F) 234,897 – 45,996 =

G) 834,501 – 299,999 =

H) 122,456 + 11,999 =

Complete the following:ANSWERS

A) 345 - 60 = 285

B) 7064 - 502 = 6562

C) 4648 - 2847 = 1801

D) 80345 - 4219 = 76,126

E) 45,536 - 8427 = 37,109

F) 234,897 – 45,996 = 188,901

G) 834,501 – 299,999 = 534,502

H) 122,456 - 11,999 = 110,457

Fill in the missing digits

What’s the total of the

numbers of people living in

Telford and Formby?

What’s the difference in the

number of people living in

Bedford and in Dover?

Fill in the missing digits

What’s the total of the

numbers of people living in Telford and Formby? 191,118

What’s the difference in the

number of people living in Bedford and in Dover? 48,361

ANSWERS

14

2

6 8

6

QFL: Can I add and subtract decimals ?

Complete the following calculations mentally:

A) 4.2 + 5.01 =

B) 9.7 + 0.3 =

C) 44.12 + 0.4 =

D) 1.11 + 0.9 =

E) 6.77 + 3.02 =

F) 10.8 + 1.3 =

G) 56.42 + 0.5 =

H) 0.006 + 2.1 =

*You may use jottings

Complete the following calculations mentally:

A) 4.2 + 5.01 = 9.21

B) 9.7 + 0.3 = 10

C) 44.12 + 0.4 = 44.52

D) 1.11 + 0.9 = 2.01

E) 6.77 + 3.02 = 9.79

F) 10.8 + 1.3 = 12.1

G) 56.42 + 0.5 = 56.92

H) 0.006 + 2.1 = 2.106

ANSWERS

Adding and subtracting decimalsDon’t panic ! It’s only a decimal point …

With written methods, you need to make sure you line up the different place values.

The decimal point will also need to be lined up.

Which calculation is correct? Explain why.

+ 49.24345.6

+ 49.24345.6

Show Answers

Hide Answers

The matching place values and

decimal point are lined up.

The matching place values and

decimal point are not lined up.

✔ x

Using a zero as a place value holderSometimes it is helpful to place a zero where a digit is not given.

+ 49.24 + 49.24_

- 49.24

345.6

It is more useful with subtraction.

345.60

345.6- 49.24

_

345.60

Calculate the answers to these using a written method.

Make sure you line up the decimal points.

Use a zero as a place value holder if it helps

Show Answers

Hide Answers

278 + 87.5 =

703 - 27.7 =

64 + 287.2 =

23.87 + 198.5 =

516.4 - 67.39 =

23.01 - 8.3 =

323.47 + 298.2 =

832.19 - 287.4 =

9023.7 - 298.53 =

492.78 + 3987.59 =

365.5

675.3

351.2

222.37

14.71

621.67

544.79

8725.17

449.01 4480.37

What is the difference in price between the most expensive and least expensive sunglasses!

A

B

D

C

What is the

difference in

price between

the most

expensive and

least expensive sunglasses?ANSWERS

B

A

D

C

£7.55

£22.40

£0.55 or 55p

£2.02

£2.86

QFL: Can I use my knowledge of inverse to problem solve?

Use these emojis to break the code and calculate the answer

A)

F)

E)

D)

C)

B)

Use these emojis to break the code and calculate the answer

ANSWERS

A)

F)

E)

D)

C)

B)

Let’s think back to when we did multiplication and

division a few weeks ago. We agreed that the

equals sign means ‘the same as’ or ‘balanced

331 + = 584 253

The value of the right side is 584. Because

an equals sign is placed between the two

calculations, the calculation on the left

side must have a value of 584, too. So

something added to 331 is 584.

So, how do we calculate the missing number?

We use the inverse’ (subtraction).

584 - 331 = 253 : 331 + = 584 253

+ 127 = 635

443 - = 221

569 - = 198

+ 87 = 587

64 + 87 = - 30

256 - 118 = + 34

396 + = 518 - 34

197 - = 65 + 112

Try out these missing number calculations using

your knowledge of the ‘inverse’. Make sure you

check the addition and subtraction signs carefully

+ 127 = 635 508

443 - = 221 222

569 - = 198 371

+ 87 = 587 500

64 + 87 = - 30 181

256 - 118 = + 34 104

396 + = 518 - 34 88

197 - = 65 + 112 20

Try out these missing number calculations using your knowledge of the

‘inverse’. Make sure you check the addition and subtraction signs carefully

ANSWERS

ANSWERS

Eva has 2756 marbles

Lucy : £3.286

Peter : £794.50

Ian : £1,589

Misha : £3,178

Fluency Friday

A chance to practise what you’ve learnt and revised this

week in addition and subtraction

Arithmetic questions –decide whether you can do them mentally or whether you need a written method.

a) 39 + 673 =

b) 7064 – 502 =

c) 468 – 9 =

d) 46 + 304 =

e) - 10 = 298

f) 56.38 + 24.7 =

g) 10 – 5.4 =

h) 987 + 100 =

i) 936 + 285 =

j) 6 – 5.738 =

k) 30.05 – 6.73 =

l) 89,994 + 7643 =

m) = 5776 - 855

n) 845 + 60 =

o) 15.98 + 26.314 =

Arithmetic questions –decide whether you can do them mentally or whether you need a written method.

a) 39 + 673 = 712

b) 7064 – 502 =6562

c) 468 – 9 = 459

d) 46 + 304 = 350

e) - 10 = 298 308

f) 56.38 + 24.7 = 81.08

g) 10 – 5.4 = 4.6

h) 987 + 100 = 1087

i) 936 + 285 = 1221

j) 6 – 5.738 = 0.262

k) 30.05 – 6.73 = 23.32

l) 89,994 + 7643 = 97,637

m) = 5776 - 855

n) 845 + 60 = 905

o) 15.98 + 26.314 = 42.294

4921

ANSWERS

In this pyramid the box above is the sum of the 2 boxes below it

For example : the number at the top of the pyramid – 816 is the total of the two boxes below

307 + 509 = 816

307

To work out the value I need to use the inverse 816 – 509 which

would give me the correct answer of 307Now can you work out the remaining boxes?

193 3161603381

Now have a

go at these

B

C

A

ANSWERS

C

A

B

A

B

ANSWERS

1,356 points

1,609 metres

A

B