Word problems involving decimals

Remember to write the numbers in the correct place value before you add or subtract:

Show your working out clearly.

1. Larry has a wooden stick 120 cm long. He cuts out 74.5 cm from it for his project. What is the length of the wooden stick that is remaining?

2. Mr. Smith weighed 72 kg. He lost 4.5 kg during summer. How much does he weigh now?

3. Mr. Baker bought 37.25 kg of flour in June, 24.5 kg of flour in July and 43.75 kg of flour in August. How much flour did he buy in total?(all three months)

4. A barrel has 70 litres of oil. Mr. Cook uses 3.5 litres on the first day, 4.25 litres on the second day, 7.125 litres and 6.125 litres on the fourth day. How much oil is left over in the barrel after 4 days?

5. Mr. Chef buys 50 kg potatoes for his restaurant.  He uses 3.5 kg potatoes daily. How much potatoes will be left after 2 weeks?

6. John drives 46.5 km everyday to go to his office. How much distance does he drive in a week if he works from Monday to Friday?( Hint: Remember he has to come back home everyday?)

7. Jack bought a video game for £34.99. How much change will he get back if he pays with a £50 note?

8. Jessie buys a notebook for 4 pounds 25 pence, a pen for 2 pounds 16 pence, a pencil for 1 pound 5 pence and an eraser for 65 pence. How much change will she get if she pays with a £10 note?

9. Mr. Teacher has a wooden stick 1 m long. How many 12.5 cm pieces can he cut from the wooden stick?

10. Alice buys a burger for £4, chips for £1.25 and a drink for 99 p. How much money does she spend in total?

Simple, Complex and Compound sentences

Make sentences using the following starters:

Make sure your sentences have lots of detail, good vocabulary and more importantly make sense.

Keep in mind to use capital letters, commas, full stops and other punctuation where necessary.

After you write each sentence, identify whether it is Simple, Complex or Compound and write it down.

Last but not least, read through your sentences once you finish.

1. If...
2. Before...
3. In addition to...
4. Finally.....
5. Usually...
6. Meanwhile...
7. However...
8. Unless...
9. As soon as...
10. As.....
11. On a wet, windy Wednesday...
12. Like a flash.....
13. On the other hand...
14. Exhausted..
15. Bewildered...

 

Capital letters, Commas and Full Stops

Capital letters:

- used in the beginning of the sentences. 

Example:  She went to watch a movie.

- name of a place and a person (proper noun), days of the week, months etc.

Example: Anna and Saly are planning to go to Paris next Friday.

- when somebody is beginning to speak.

Example: Maria said, "It is very hot today."

Full Stops:

- at the end of a sentence.

Commas: 

- to separate things in a list.

Example: Vince went to the shop to buy milk, bread, sugar and eggs.

- when a pause is needed for the sentence to make sense.

Punctuate:

1. he loves playing with his friends 
2. my cats name is coco
3. last summer we visited edinburgh glasgow and liverpool
4. jack attends maths tuition every friday
5. all the schools in england have summer holidays during july and august
6. irene was born on the 25th january 2004 in chelsea 
7. sadly he was not allowed to go on the france trip
8. while my mother was cooking i was doing my homework
9. what a disastrous party
10. dont text while you are walking
11. when i go to india i want to see the tajmahal
12. if you dont revise properly for your tests you will get low marks.
13. before going to bed at night you have to brush your teeth
14. as the weather was not suitable the match was postponed to thursday
15. sadly he lost his expensive phone yesterday
16. lake district one of the best tourist attractions of england is a place of scenic beauty
17. david cameron is the prime minister of the united kingdom
18. even though i started late i finished on time
19. greg the fastest runner in the school practises daily in the park
20. london the capital of england is a densely populated city
21. adam john and mark are my friends
22. john went to marks home to give his notebook back
23. marks mother was not happy because the boys were making too much noise 
24. the dog which was badly hurt was moaning in a low voice
25. if you practise times tables daily your mental maths skills will improve 

Percentages

Find 50% of:

1) £450      6) £650

2) £625      7) £419

3) £290      8) £505

4) £34.50   9) £775

5) £273     10) £815

Find 25% of:

1) £84               6)  £98

2) £400             7)  £58

3) £240             8)  £300

4) £660             9)  £15

5) £182            10) £25

Find 10% of:

1)  £400              6) £5

2)  £350              7) £14.50

3)  £855              8) £2.40

4)  £35                9) £5.60

5)  £75               10) £4.80

One step word problems:

1.  Sam had 678 marbles. He gave 50% of his marbles to his friend Jack. How many marbles did he give to Jack?

2. Kirsty had a rose garden in her backyard. 25% of the 192 roses were red. How many red roses were there in the garden?

3. Maria made a huge bouquet with 60 tulips. 10% of the tulips were yellow. How many yellow tulips were in the bouquet?

4. Year 6 had 76 pupils. 25% had blue eyes. How many pupils had blue eyes?

5. 560 cars are parked in a parking lot. 10% of the were BMWs. How many BMWs are there? 

    25% of them were Volkswagen. How many Volkswagen were there?

Two step word problems:

1. Kate gets £10 every week as pocket money. She saves 25% of it every week. How much does she save after 20 weeks?

2. There were 168 trees in a garden. 25% of them were apple trees. Rest were pear trees. How many pear trees were there?

3. A popular video game costs £34. It is on sale for 10% off. How much does it cost now?

4. There were 1120 apples in a sack. 10% were spoiled. How many unspoiled apples were there in the sack?

5. Mr. Baker bought a 5 kg of flour. He used 25% of the flour to make cakes and pies. How much flour would be left in the bag?

Words Of The Week 19/5

Words with 'ar' in the beginning: 

Group 1:                                 Group 2:

1. arrange                                          1. ark

2. arrest                                             2. art

3. around                                           3. arch

4. arise                                              4. argue

5. arrogant                                         5. ardent

6. arrive                                             6. arduous

7. aroma                                            7. archive

8. arrow                                             8. article

9. arena                                              9. artificial

10. arid                                              10. artillery

Exercise:

1. What is the difference between the two group of words?

2. Learn the meanings and spellings of the words. In your notebook, state whether each word is a noun, verb, adjective or adverb.

3. Put them in sentences (detailed). Now go back and check whether you have identified them (as a verb, noun, adjective or adverb) correctly.

Note: 

Show how good your handwriting can be.

Simplifying Fractions

Simplify the following fractions to the lowest terms:

Note: Try to finish the problems in 10 minutes

1) 72/80     11) 16/64           21) 48/80           31)  35/50

2) 63/90     12) 15/60           22) 30/100         32) 15/25

3) 49/70     13) 15/75           23) 17/51           33) 24/60

4) 35/70     14)  9/45            24)  21/84          34) 24/40

5) 84/120   15) 100/300       25) 30/60           35)  100/500

6) 36/40     16) 150/300       26) 18/72           36)  200/600

7) 50/100   17)  40/160        27) 45/100         37)  100/1000

8) 28/56     18) 50/200         28) 13/39           38)  40/200

9) 42/56     19) 24/72           29)  19/38          39)   16/80

10) 20/80   20) 32/160         30) 9/36             40)   15/90

Punctuation

petes mum asked him do you want to eat now he said that would be great i am hungry his mum went to the kitchen and made him a sandwich pete i  made you a sandwich she called pete came running to the dinner table looking at the sandwich he mumbled not cucumber and tuna sandwich again he mumbled what did you say asked his mum sadly he muttered i wouldve to eat this anyway because i am hungry after eating he said to himself its not that bad after all

my friend whose name is jack has a huge collection of stamps

sheila went to to the supermarket to buy bread eggs milk and yogurt

i visited rome paris and amsterdam

my dog coco a labrador is very playful

i packed the following for my trip swim shorts sunglasses suncream and a towel

Punctuation 17/5

Punctuate the following sentences by adding capital letters, comma, full stop, question mark, exclamation mark and speech marks where necessary:

1) can you do me a favour please requested sara

2) my mother asked me where did you go after school

3) will you hand me the book asked my friend

4) what a splendid performance exclaimed jim

5) stop dont go there shrieked maya

6) do you know the muffin man asked mr james smith

7) yesterday we went out for dinner it was wonderful remarked michael

8) sam would you water the plants please asked mum

9) its not a good idea to chase an angry dog stated john

10) dont make any sound hand me your wallet  said the robber

Now write your own sentences with speech marks using these alternate words for 'said':

muttered

uttered

mumbled

stated

questioned

replied

remarked

commanded

exclaimed

shouted

Revision

Calculate: (use written methods for all the calculations)

1) 32.8 + 49      6)  764 - 98     11)  322  x  16

2) 56.4 + 5.6      7)  40.1 - 6.7     12)  128  x 25

3) 604 + 79      8)  760 - 85     13)  609  ÷  3

4) 13.8 + 8.7      9)  670 x 14     14)  545 ÷  5  

5) 604 - 68      10) 542 x 23     15)  329  ÷  7

Word Problems:

1.  Ryan had  256 marbles. He gave 1/6 of his marbles to Ron. How many marbles does he have now?

2.  Year 6 had 90 children. 2/5 of them had blonde hair. How many children had blonde hair?

3.   Mrs. Smith bought 2 kg potatoes. She used 1/4 of the potatoes to make a pie. How much potatoes did she use?

4. Anita bought 5 books. She paid with a £10 note and got £2.50 change.How much did 1 book cost?

5. John buys 4 pens at £1.99 each. If he pays with a £10 note, how much change will he get?

6. What is 5/8 of 96?

7. Divide 42 by 4. Give the answer as a decimal.

8. Train ticket from  London to Birmingham cost £58.50 for 1 adult. What does 1 child ticket cost if it is half the adult ticket?

9. An apple weighs 35 grams. How much does 40 apples weigh? Give your answer in Kg.

10. Sharon goes to bed at 8:30 pm and wakes up at 7:00 am next morning. How many hours does she sleep?

11. Claire wakes up 7:00 am. She takes 35 minutes to brush her teeth and take a shower, 20 minutes to dress up and 25 minutes to eat her breakfast. Then she leaves to school. What time does she leave to school?

12. Mr. Hurry has to get the 8:02 train to get to his office. If he takes 20 minutes to walk to the train station, what is the latest time he should leave home?

13. Melissa drinks 1/4 litre of chocolate milk. How much is this in millilitres?

14. Joel measures the length of his table. It is 108 cm. What is this in metres?

15. Sam buys a burger for £2.99, chips for £1.05 and a drink. He paid with a £5 note and did not get any change. How much did the drink cost?

words of the week 9/5

Learn the spellings and meanings of the following words and find as many synonyms as you can:

1. COLOUR

2. FAVOUR

3. FAVOURITE

4. FLAVOUR

5. SPLENDOUR

6. COURAGE

7. ENCOURAGE

8. ARMOUR

9. POUR

10. SOURCE

Numbers

What number is exactly midway between

1) 700 and 900           6) 200 and 250  

2) 300 and 500           7)  2  and   3

3) 150 and 250           8)  45 and 50

4) 450 and 750           9)  30 and 35

5) 600 and 1000        10) 78 and 79

now try finding the number exactly between

1) 3.5  and   4.5         6) 6.8  and   7

2) 4.5  and   5            7) 5.6  and   6.2

3) 7     and   7.5         8) 9.1  and  9.5

4) 3.4  and   4            9) 8.3  and  8.7

5) 1.2  and   2           10)1.4 and  2.4

Fill in the blanks: (to be completed in 5 minutes)

1) 7000  ÷  _______  =  70           11)  500  -  _____  =  375

2)   600  ÷  _______  =  300         12)  340 -   _____  =  199

3)  ____ ÷  43            =  100         13)  600 -  ______ =  199

4)  460  x  _______     =  4600      14)  800 - 299       = _____

5)    _____ x 29          =  2900       15)  700 -  56     =   _____

6) 300  ÷  ______       =  150         16)  175 +  325    =  _______

7) 750  ÷    ______     =  5              17)  13  x  50      =    _________

8)  456    -    _____     =  179           18)  15  x  40   =   _________

9)  358  +   ______    =  680              19) 160  x   5   =  ________

10) 1300 -    _____    =  600              20)  463  +  ____ =   700

Word Problems:

1.  Increase  345 by  29.

2.  Increase  760 by  80.

3.  Increase   153 by 47.

4.  Decrease 390 by  60.

5.  Decrease  478 by  19.

6. Find the product of 25 and 20.

7. Find the product of 17 and 30.

8. Divide 129 by 3.

9. How many 25s are there in 600? 

10.How many 50s are there in 1000?

11. How many 100s are there in 1700?

12. There are 25 apples in a basket. How many apples are there in 15 baskets?

13. Stamps are sold in sheets. There are 15 rows of stamps in a sheet. If there are 12 stamps in each row, how many stamps are there in 1 sheet?

If a sheet costs £1.80, how much does one stamp cost?

14. A carton has 24 packs of tea bags. If 1 pack has 80 tea bags, how many tea bags are there in the carton?

15. James picked 156 strawberries. 6 of them were spoiled. He packed the good strawberries in 15 bags, each bag containing the same number number of strawberries. How many strawberries did he pack in each bag?