Each session contains a main activity and problem solving or reasoning challenges.

Remember to check your working out carefully!

Remember to keep working on your Times Tables Rock Stars too.

Maggie bought 4 boxes of crisps for the tuck shop. Each box had 48 packets in it. How many packets was this altogether?

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To work out each of the answers you will need to multiply TU x U or TU x TU using the column method. Once you have calculated write your final answer.

48

X 4

1 9 21 3

192 packets Challenge yourself to answer it

mentally and check using the method.

Now choose questions A or B

Multiplication Word Problem Detectives

1.There are 12 biscuits in a packet. Jane buys 4 packets for her party. How many biscuits does she have? ________________

2. There are 16 fireworks in a box. Sam has 7 boxes. How many fireworks does he have altogether? __________________

3. The teacher needs each table to have eight pencils and five pens. There are 5 tables. How many pencils and pens will she need? ___________

5. Ben wants to buy 4 lollies for each of his twelve friends. How many lollies will he need to buy? ____________

4. Lucy has 36 CDs in each rack. She has 3 racks. How many CDs has she altogether? _____________

8. It takes Laura 18 minutes to walk to and from St John’s School each day. She walked to school and back every day for 5 days. How many minutes did Laura spend walking to and from school in one week? ______________

6. . Six children have completed their sticker card. Each card holds 24 stickers. How many stickers has the teacher given out. ___________

7. Tom has 15 friends over for his birthday tea. Mum cooks 3 fish fingers each. How many fish fingers does Tom’s mum have to buy for his friends? ___________

A

1. 48 biscuits

2. 112 fireworks

3. 40 pencils and 25 pens

4. 108 CD’s

5. 48 lollies

6. 144 stickers

7. 45 fish fingers

8. 90 minutes

B

Use your multiplication skills to answer the following. Ensure you show your workings.

Looking for learning!

1) Name something you learnt or improved today.

2) Have you improved on something today?

3) Did you enjoy what you learnt, why?

4) How could you improve or develop what you learnt today?

5) How confident are you at multiplying TU x U or TU x TU?

6) Can you interpret a word problem?

Short division or Bus stop method (no remainders)

DivisorDividend

hundreds tens units

QuestionHow many 3’s go into 645?

Steps

• How many 3s are in 6? (Two) But remember the 6 is

six 100s. So the answer is two what? Two 100s, so we

write that in the 100s column above the 6.

• How many 3s are in 4? One, but remember that the 4 here is four 10s, so the answer is one what? One 10, so we write 1 in the 10s column above the 4. How many left over? One, one what? One ten so we carry over.

• Move the one 10 left over along and write it in front of the 5 to make 15 as we are now dividing the 10 we had left over and the 5.

• How many 3s are in 15? Five, but five what? Five 1s, so we write 5 in the 1s column above the 5.

So what is 645 divided by 3? 215.

2 1

1

5

Chunking to help

Sometimes using our multiplication skills helps us to work out how many of the divisor are in the

number.

Think to yourself does this seem right? How many 3’s are in 600? 200, so the answer is going to

be around 200 and something. Let’s look at the same question:- How many 3’s in 645.

Try practising using this chunking method to work out the following:-

a) 755 divided by 5b) 545 divided by 3

leftover

Find the largest amount you can.

Keep going until you hit 0 In bold is the

amounts

0

Answers

a) ? x 5 = 755

100 x 5 = 500

255

50 x 5 = 250

5

1 x 5 = 5

Answer is 151

151 x 5 = 755

It helps with 755 ÷ 5 = 151

b) ? x 3 = 543100 x 3 = 300

24350 x 3 = 150

9330 x 3 = 90

1 x 3 = 3

Answer is 181 181 x 3 = 543

It helps with 543 ÷ 3 = 181

Short division or Bus stop method with remainders.

DivisorDividend

hundreds tens units

QuestionHow many 3’s go into 646?

Steps

• How many 3s are in 6? (Two) But remember the 6 is

six 100s. So the answer is two what? Two 100s, so we

write that in the 100s column above the 6.

• How many 3s are in 4? One, but remember that the 4 here is four 10s, so the answer is one what? One 10, so we write 1 in the 10s column above the 4. How many left over? One, one what? One ten so we carry over.

• Move the one 10 left over along and write it in front of the 5 to make 15 as we are now dividing the 10 we had left over and the 5.

• How many 3s are in 16? Five, but five what? Five 1s, so we write 5 in the 1s column above the 5.

• How many do we have leftover? 1 so we write r 1(remainder 1)

2 11

53 6 4 6

r 1

Choose two questions which you think will have remainders? Why do you think this?Now work out the answers to questions and the last THINK question.

1)836 ÷ 4 =2)798 ÷ 7 =3)856 ÷ 8 =4)587 ÷ 5 =5)859 ÷ 4 =6)836 ÷ 8 =

Think:Write some different division questions with the answer 123 r 1

1. 836 ÷ 4 = 209

2. 798 ÷ 7 = 114

3. 856 ÷ 8 = 107

4. 587 ÷ 5 = 117 r 2

5. 859 ÷ 4 = 214 r 3

6. 836 ÷ 8 = 104 r 4

THINK – will have a variety of answers.

Challenge activity

Answers

Looking for learning!

1) Name something you learnt or improved today.

2) Have you improved on something today?

3) Did you enjoy what you learnt, why?

4) How could you improve or develop what you learnt today?

5) How confident are you at using the written method for dividing with or without a remainder?

6) Can you explain why chunking helps?

Remember when approaching any word problem to apply RUCSAC.

Key questions

What information is key in this word problem?

Is there irrelevant information?

Can you identify what calculation is needed?

Will your final answer need to be rounded up or down?

Have you written a final answer that includes the key part?

Method

2 boxes of pencils:-

1 containing 173

1 containing 149

‘Puts them together’ means add them and total 173 + 149 = 322

Now share the total equally between 7 pots.

322 pencils ÷ 7 pots = 46 pencils

Means 46 pencils in each pot.

1. Mrs Smith has 360 new pencils to share between 20 pupils. How many

pencils will each child get?

2. Tickets for the latest film cost £9 each. Your family has £48 saved up.

How many of you can go to the cinema to see the film?

3. When you are in the cinema, you see that the 504 seats are divided into 7

equal sections. How many seats are there in each section?

4. A batch of new reading books has been delivered to school. There are 275

books. Each class needs 15 books. How many classes will get the books that

they need?

5. Mrs Smith, Mrs Jones and Miss Dawson share a big box of chocolates.

There are 12 different types of chocolate in the box. There are 168

chocolates altogether. How many are there of each type of chocolate?

6. Emily, William and Sarita go ‘Trick or Treating’ together. Emily gets 26

sweets. William gets 21. Sarita gets 25. If they share them equally, how

many sweets will each get in the end?

1. 360 ÷ 20 = 18 pencils each

2. £48 ÷ 9 = 5 can go to see the film (£3 remainder)

3. 504 ÷ 7 = 72 seats 10 x 7 = 7020 x 7 = 14050 x 7 = 350

4. 275 ÷ 15 = 18 classes (5 books remainder) 10 x 15 = 15020 x 15 = 300

5 x 15 = 755. 168 ÷ 12 = 14 of each type of choc(the fact that 3 teachers are sharing them is not relevant)

6. 26+21+25 = 7272 ÷ 3 = 24 sweets each

4. 189 potatoes – 75 potatoes = 114 potatoes left to bag.

114 ÷ 6 = 19 bags of 6 can be made.

7. 1892 x 6 = 11,352 marbles

11,352 ÷ 25 = 454 r 2

Only 454 packs of 25 marbles can be made.

6. 23 x 11 = 253 individual players.

253 + 176 = 429

429 ÷ 11 = 39 teams in total

5. 156 x 3 = 468 cars

468 ÷ 5 = 93 r 3

Only 93 packs of 5 can be made with 3 leftover.

Showing the method.

Looking for learning!

1) Name something you learnt or improved today.

2) Have you improved on something today?

3) Did you enjoy what you learnt, why?

4) How could you improve or develop what you learnt today?

5) Can you apply RUCSAC to a word problem?

6) Did you use Chunking to help you divide?

The Remainder

• A baker bakes 130 cakes. She puts them into boxes of 8. How many boxes will she fill?

130 8 = 16 r 2

or 16 8 = 128

16 full boxes

The answer is not exact so you will need to decide whether to round up or down in the answer.

130 cakes makes 16 complete boxes and 2 left over.

Only 16 complete boxes can be filled.

Decide whether to round up or down. What does the question ask you to do?Show your workings

Answers

The Challenge• A class order some pizzas for a party. There are 30 children. Each child will have ¼ of a pizza. How many pizzas are needed?

Write your own ‘remainders’ word problem for a family member to

solve.

7 or 8 pizzas needed?

30 ÷ 4 = 7 r 2 (which represented as a fraction means 2/4 or ½)

7 whole pizzas and ½ a pizza needed.

So 8 pizzas are needed for every child to have a ¼ of the pizza with ½ a pizza left over.

Draw out the four squares with the correct symbols and add the maths terms in the right place.

This will help you solving word problems, understanding what the terms mean.

How many 38p tins go into £5.00?

(division or multiplication)

Add together (addition)

Change from £5.00.

(subtraction)

0.38 x 10 tins = £3.80

0.38 x 3 tins = £1.14

13 tins altogether.

£3.80 + £1.14 = £4.94

£5.00 - £4.94 = 6p change.

Answers

Question 1

At the beginning of the day, a grocer has 239 apples. He receives another 144 from his supplier and sells 307 during the day.

Khalid calculates how many apples the grocer has by the end of the day.

307-239 = 68, 68 + 144 = 212 apples left.

Explain the mistake Khalid has made.

Come up with your own word problem with a mistake for a family member to spot.

Question 2

Write a word problem for which this calculation is used to find the answer.

£9.67 + £8.22 = £17.89

£3.49 + £5.75 = £9.24

£17.89 - £9.24 = £8.65

Check your problem with a family member.

What mistakes might someone make when trying to solve the problem?