WEEK 1

1. Think of a number between 1 - 10

2. Multiply the number by 2

3. Add the number 8

4. Divide the total by 2 (halve it)

5. Now subtract the number your first thought of

I want to play again ……….

Think of a number between 1 – 10

x2

+ 16

Divide your number by 2

Take away the number you first thought of

Arrange these numbers in order of size, starting with the smallest.

• one billion• half a million• six hundred and ten thousand• ninety seven thousand• two million

• 97 000• 500 000• 610 000• 2, 000 000• 1, 000 000 000

PUT THESE NUMBERS IN ORDERBIGGEST TO SMALLEST

426.8426

242.6

42.896

8.630.821

0.086

• 426.8• 426• 242.6• 42.896• 8.63• 0.821• 0.086

PLACE VALUE

Write these numbers in figures

• Eight hundred and four • One thousand two

hundred and sixty • Eighty seven thousand

and two • Six hundred thousand • Eight million

• 804• 1260• 87002• 600,000• 8,000, 000

WRITE THESE NUMBERS IN WORDS

• 500,000• 6020• 2058306• 990 099• 6 750 800• 5200450

• Five hundred thousand • Six thousand and twenty• Two million, fifty eight

thousand, three hundred and six

• Nine hundred and ninety thousand and ninety nine

• Six million, seven hundred and fifty thousand, eight hundred

• Five million, two hundred thousand, four hundred and fifty

Now each think of 3 numbers each and write them down Use digits. (123456789)

Only go up to 7 digits (maximum)

Now ask your partner to write your numbers down in words

Discuss them and check!

Now write 3 numbers in words

Only go up to millions for now !

Swap with your partner again and ask them to write your numbers in digits this time.

Check back and discuss if correct !

Decimals are used for parts of a number that are smaller than 1

Decimal points separates the whole numbers from the part that is smaller than 1

This means 3 +

2

10+

5

100

Draw this table

Now….

Put each of the decimals into the table and write them in their separate parts

a)0.26b)1.79c)38.24d)14.8e)0.0101f)0.033g)2.645h)80.934i) 4.3652

0 units, 210 6100

MULTIPLY BY 10

When you multiply a number by 10 all the digits move one place to the left. The decimal point stays where it is !

Example

1.56 x 10 = 15.6

25.984 x 10 = 259.84

What do you think happens when you multiply by 100?

Try these ……..

a)42.8 x 10b)23.765 x 100c)16 x 10d)1876.34 x 100 e)1.2 x 100f)176 x 100g)873.7652 x 1000

a)428b)2376.5c)160d)187634e)120f)17600g)873765.2

What happens when you divide by 10, 100, 1000?

That’s right you move the digits to the right!

Try these

12 10 =123.76 10 = 17635 100 =876.7365 10 = 26538.876 1000 =

1.212.376176.3587.6736526.538876

You need to be able to add, subtract, multiply and divide without a

calculator. Make sure you are confident doing all 4 !

It doesn’t matter what method you use as

long as you get it right!

IMPORTANT

And a great tip!

Get in the habit of carrying out an estimate first! Or at least do it after !

This is really important. It checks to see if your answer is sensible!

Examples

189 + 772 200 + 800 96

11000

9.3 x 8.1 9 x 8

Actual Estimate

75.33

72Actual Estimate

For these questions pick a sensible estimate

a)102 + 847 = b)982 – 386 = c)522/9 = d)9 x 7.3 =

e)103.2 + 79.9 = f)402.3 – 149.8 = g)8 x 6.3 = h)80/0.9 =

Then check the actual answer.

IMPORTANT

And a great tip!

Example

You need to know how to show a check. This is a really easy way to pick up marks!

2 x 4 = 8 CHECK 8 4 = 2

98 + 102 = 200 CHECK 200 – 102 = 98

USE THE

INVERSE

In year 7 there are 238 students.In year 8 there are 236 students.

How many students are there in total in years 7 and 8?

SHOW A CHECK

Adding and subtracting when working out the perimeter

4173.3 532.1

45074

IMPORTANT

MAKE SURE YOU LINE THE DECIMALS

UP!!!

a)14.3 + 125.6 = b)987.2 + 127.34

= c)10876.34 +

189.2 = a)139.9b)1114.54c) 11065.54

8 7 6 31 6 5 7

7 1 0 6

5 1

a) 3837 – 1273 = b) 986.35 – 124.5 = c) 1062.4 – 562.54 =

a)2564b)861.85c) 499.86

Details Date Credit Debit Total

1. Copy this 2. Put in 8 payments (down the details column) 3. The first should be your wage 4. The others can be debits or credit

5. Swap with your partner and they will work out the total and what you are left with

Chloe has a ribbon 8 metres long.She cuts two pieces from the ribbon.

The first piece was 1.28 metres long.The second piece was 0.65 metres long.

How much ribbon is left?

Multiplying

Question 1: Martin works for 7 hours and is paid £8 per hour. How much is he paid?

Question 2: Russell is given £4 pocket money each week.He is saving for a game that costs £32.How many weeks will it take Russell to save enough money to buy the game?

Question 3: A carton holds 6 eggs.How many eggs are there in 7 full boxes?

Question 4: Harry earns £9 per hour and works 7 hours. Carly earns £11 per hour and works 6 hours.Who earns more money and by how much?

A small bag of doughnuts contains 5 doughnuts.A medium bag of doughnuts contains 9 doughnuts. A large bag of doughnuts contains 12 doughnuts.

Mr Jones buys 9 small bags of doughnuts. Miss Jenkins buys 7 medium bags of doughnuts. Mrs Hughes buys 4 large bags of doughnuts.

(a) Who has bought the most doughnuts?(b) How many doughnuts did they buy in total?

MULTIPLYING

You need to be able to multiply large numbers without a calculator.

If you have a method you use that works go with that!

Otherwise try this method.

36 x 54

3 6 5

4

3 6 5

4

15

30

12

24

4491

4 . 3 7

2

21

06

28

08

6901

3

It works

for decimals too !

Try these…..

a) 42 x 63 =b) 87 x 24 = c) 98 x 86 = d) 21x 56 =

e) 376 x 45 =f) 654 x 75 = g) 265 x 18 =

a)2646b)2088c)8428d)1176

e)16920f)49050g)4770

Multiplying decimal numbers

a) 1.4 x 6.2 =

b) 8.6 x 7.3 =

c) 4.5 x 7.1 =

d) 14.5 x 1.2 =

e) 16.2 x 14.3 = In your mind estimate to check !

a)8.68b)62.78c)31.95d)17.4e)231.66

Division

171 ÷ 3 =

875 ÷ 5 =

882 ÷ 6 =

783 ÷ 9 =

3276 ÷ 7 =

9704 ÷ 8 = Link

FUNCTIONAL QUESTIONS

Bob, James and Henry are organising a charity cake sale.

They want to make 54 cupcakes in total. How many cupcakes should each boy make?

A teacher has 153 sweets.

The teacher shares the sweets equally among 9 students.

How many sweets does each pupil receive?

Functional question

SLIGHTLY HARDER….

Mrs Dixon puts 230 eggs into boxes. Each box holds 12 eggs.

How many egg boxes does Mrs Dixon need to put all the eggs into boxes?