Revision - Fractions

Write two equivalent fractions for the following fractions:

a) 1/2          f) 2/5          k)  5/6

b) 1/3          g) 3/5         l)   7/8

c) 1/4          h) 4/5         m)  1/10

d) 3/4          i) 1/5          n)   7/10

e) 2/3          j)  1/6         o)   3/10

Reduce the following fractions to lowest terms:

1) 12/36            6) 6/78

2) 15/60            7) 18/24

3) 32/40            8) 45/50

4) 24/60            9) 45/70

5) 36/60           10) 21/30

Which of the following fractions add up to 1? Out of the five fractions listed in each question, pick two that add up to1:

Hint: reduce them to lowest terms to find out

1)  2/3 , 3/4, 2/6, 1/2, 1/5

2)  4/5, 1/3, 1/4, 1/6, 2/10

3)  2/8, 3/4, 1/8, 1/6, 1/2

4)  3/8, 1/3, 3/4, 5/6, 5/8

5)  3/10, 1/3, 3/5, 1/5, 2/5

Match the following fractions in column A with that in column B that add up to 1:

             A                                          B

           1/6                                         4/5

           2/3                                         1/4

           1/5                                         1/2

           3/4                                         5/6

           1/2                                         1/3

Arrange the following fractions from smallest to biggest:

1)    1/2, 1/4, 1/6, 1/5, 1/3

2)     1/15, 3/5, 2/3, 2/5, 1/3

3)     1/2, 1/3, 5/6, 2/3,  1/6

4)    3/5, 3/4, 3/8, 3/7, 3/10

5)    3/10,  1/5,  7/10,  3/5, 3/15

Which of the following fractions is bigger?

1)      3/5     or        4/5

2)     1/6      or        2/3

3)     4/5      or       3/15

4)     2/3      or       4/5

5)     1/3      or       3/10

6)     3/7      or       2/5

7)     2/15    or       1/5

8)     4/5      or       3/10

9)     9/10    or       1/3

10)   3/4      or       2/8

How many halves are there in 1?

How many thirds are there in 1?

How many tenths are there in 1?

How many thirds are there in 5?

How many fifths are there in 3?

How many tenths are there in 4?

How many sixths are there in  6?

How many halves are there in 2 1/2?

How many quarters are there in 2  1/2?

How many quarters are there in 3  3/4?

1)  4/5    =   ?/20

2)   ?/6   =   5/30

3)  4/7    =   16/?

4)  3/10   =   ?/30

5)   5/8    =   ?/48

Add the following fractions:

1/2 +  3/4  = ----------

3/4  +  3/4  = ----------

2  1/4  +  3  1/2  = ---------

5  1/2  +  6  3/4  = ----------

7  1/4   +  7  1/2 = ------------

3  1/6  +   4  3/6 = ----------

2  7/8  +   3  1/8 = -----------

4  5/6   +   5  3/6 = ------------

7  1/2  +   3  3/4 = ----------

9 1/4  +   4  3/4 = ----------

KS2 Spelling list 3

Words ending in e - drop e and add 'ing':

give             giving
hope            hoping
lose             losing
share           sharing
shake           shaking
take             taking
write           writing
make           making

smile           smiling

make           making

raise            raising

escape         escaping

range           ranging

combine      combining

divide          dividing

include        including

exclude       excluding

challenge    challenging

survive        surviving

serve           serving

examine      examining

investigate investigating

Now it's your turn to add more words to the above list.

Words ending in vowel and consonant - double the consonant when adding 'ing' or 'ed':

plan      planning     planned
stop      stopping     stopped
drop     dropping     dropped
hop      hopping       hopped
grip      gripping      gripped
grab     grabbing      grabbed
occur    occurring    occurred
slip      slipping        slipped
chat     chatting
sit        sitting
hit        hitting
begin   beginning
swim   swimming

KS2 Spelling List 2

Plural words:

Words ending in y:

Rule: If the word ends in vowel and y, add s

Example:

key           keys                  

monkey    monkeys

valley       valleys

boy           boys

toy            toys

day           days

holiday     holidays

survey      surveys

delay        delays

journey    journeys

trolley      trolleys

way          ways

tray           trays

turkey       turkeys

delay         delays

You can add similar words to the above list.

If the words end in a consonant and y, remove y and add -ies:

spy              spies                     sky            skies

baby            babies                  berry         berries

story            stories                  jelly          jellies

city              cities                    canary      canaries

library          libraries               lady          ladies

dictionary    dictionaries          ability      abilities

delivery       deliveries             difficulty  difficulties

enquiry        enquiries              similarity  similarities

query           queries                 activity     activities

pharmacy    pharmacies           variety     varieties

injury          injuries                 diary       diaries

colony         colonies               enemy    enemies

cavity          cavities                

You can add similar words to the above list

Verbs ending in consonant and y: remove y and -ies(some of the following words are nouns also)

cry      cries           try        tries

reply   replies        study    studies

carry   carries        reply    replies

marry  marries      

fly       flies

Verbs ending in vowel and y: add s

play     plays

pray     prays

buy      buys

enjoy   enjoys

spray   sprays

stay     stays

Words ending in f:

Remove f and -ves

leaf       leaves            shelf   shelves

loaf       loaves            hoof   hooves

scarf     scarves

thief      thieves

wolf      wolves

half        halves

calf        calves

elf          elves

Exceptions:  chief    chiefs

                     chef     chefs

                     roof     roofs

Words ending in -fe:

knife  knives

life     lives

wife   wives

Words ending in o:

Rule: If the words end in a vowel and o, add s.

        

radio         radios

video        videos

studio       studios

igloo         igloos

kangaroo   kangaroos

If the words end in a consonant and o, add s or -es.

piano    pianos

photo   photos

zero     zeros

hero       heroes

tomato   tomatoes

potato    potatoes

echo       echoes

Words ending in -ch, -sh, s, -ss or -x:

If a word ends in ch or x, add -es.

church   churches        bench       benches

watch      watches        torch        torches

inch         inches          branch     branches

peach       peaches       coach       coaches

beach       beaches        sandwich  sandwiches

batch       batches        match        matches

bus     buses             dress       dresses

gas      gases            address   addresses

                                    glass       glasses

                                    class       classes

bush      bushes

wish      wishes

brush     brushes

dash       dashes

flash       flashes

dish        dishes

box       boxes

fox       foxes

tax        taxes

Other words

foot       feet           door     doors

tooth     teeth          moose   moose

goose    geese        deer      deer

                              sheep   sheep

mouse      mice          house   houses

louse        lice

ox          oxen             cactus    cacti

child      children        radius    radii

man        men             antenna  antennae

woman   women

  

KS2 Spelling List 1

Adverbs with two 'l's:

Note: If an adverb is derived from an adjective ending with an 'l', then it has two 'l's.

thankful     thankfully

hopeful      hopefully

cheerful     cheerfully

careful       carefully

graceful     gracefully

painful       painfully

colourful    colourfully

beautiful     beautifully

playful        playfully

usual          usually

final           finally

brutal          brutally

original       originally

eventual      eventually

general        generally

ideal            ideally

normal         normally

partial          partially

real              really

actual          actually

KS2 Grammar Revision

Noun

It is a place, person or thing.

Types of Nouns:

1. Common noun: things that are around us.

Examples: table, chair, board

2. Proper noun: name of a place or person. It always start with a capital letter.

Examples: London, England, Sam

3. Collective noun: word that refers to groups

Examples: team, herd, flock, pack, bunch

4. Abstract noun: word that refer to ideas, concepts and feelings.

Examples: happiness, wisdom, courage

Pronoun

Words that are used to replace nouns.

Subject pronoun: used to replace subjects in a sentence.

Examples: I, He, She, It, They, We, You.

Object pronoun: used to replace objects in a sentence.

Examples: me, him, her, it, them, us, you

Possessive pronoun: used to refer something belongs to someone.

Examples: my, her, his, their, our, your

Relative pronoun: comes in the beginning of a relative clause. It is usually used to connect clauses.

Examples: that, who, whose, which, whom

Clause:
Group of words which includes verb.

Example: As I walked to the bus stop - This is a clause as it has a verb - walked.

Phrase:

Group of words with no verb among them.

Example: in the morning, after two hours, into the woods

Noun phrase

A group of words that act as a noun is a noun phrase.

Examples: The big, blue balloon popped.

                  The long, winding road was lined by thick bushes         

                  on either side.

Adjectives

Words that describe nouns

Examples: beautiful, hideous, generous, miserly

Adverbs

Words that describe verbs, adjectives or other adverbs. They usually end with '-ly', but not always.

Some examples:
adverbs used to describe quantity: many, much, more, lot, few, less, little

adverbs used to describe frequency and time: often, never, once, daily, monthly, now, soon, later, always

other examples: far, fast, rather, very


Relative clause:

A clause that begins with a relative pronouns such as that, which, when, whose, where.

This clause describes the noun that comes before it.

Examples:

I went to the park that is next to my house.

The underlined clause is the relative clause. It starts with a relative pronoun and it describes the noun, in this case, the park, that comes before it.

1 step and 2 step word problems - finding fraction of amounts

Finding fraction of amounts - 1 step problems:
(Show the working out)

1. Sam has 42 marbles. He gave 5/7 of the marbles to Anna. How many marbles did he gave to Anna?

2.  Sam has £360. He lent 3/5 of the money he has to Anna. How much money did he give to Anna?

3. A cake weighs 375 grams. Sam ate 3/5 of the cake. How many grams did he ate?

4. A juice carton has 150 ml of juice. Anna drank 4/5 of juice in the carton. How much juice did Anna drink?

5. There were 56 balloons in a bunch. 7/8 of the balloons were blue. How many balloons were blue?

6. A bouquet has 25 flowers. 3/5 of the flowers in the bouquet are roses. How many roses are there in the bouquet?

7. A dog weighs 15 kg. It gained 1/5 of its weight in a month, how many kilograms did it gain?

8. A school library has 500 books. 3/10 of the books are non fiction. How many non fiction books are in the library?

9. Anna had 39 stickers. She gave 2/13 of her stickers to Sam. How many stickers did she give to Sam?

10. There are 30 children in Year 4. 7/10 of the children are girls. How many girls are there in Year 4?

2 step problems:

(Show the working out)

1. There are 30 children in Year 4. 3/5 of the children had school dinner. Rest brought packed lunch. how many children brought packed lunch?

2. Anna had 78 stickers. She gave 1/6 of her stickers to Sam. How many stickers did she have left?

3. Sam had £45. He spent 4/9 of the money he had. How much money did he have left?

4. Anna blew 27 balloons. 1/9 of the balloons popped. How many balloons remained without being popped?

5. Sam had 63 stamps. He stuck 7/9 of the stamps in an album. How many stamps were not stuck in the album?

Mental Maths

Test your mental strategies:

Examples:
Addition and Subtraction:

39 + 34 
1. Keep 39 in your mind.
2. Partition 34 into 30 and 4.
3. Add 39 and 30, which is 69.
4. Then, add 69 to 4, which is 73.

Multiplication:
 15 x 12

1. Keep 15 in your mind.
2. Partition 12 into 10 and 2.
3. Multiply 15 by 10, which is 150.
4. Multiply 15 by 2, which is 30.
5. Add 150 and 30, which is 180.

Now try the following questions. Some of the questions involve three digit numbers.

Addition:
1) 85 + 45    6) 123 + 54    11) 254 + 73
2) 63 + 56    7) 345 + 65    12) 646 + 82
3) 67 + 68    8) 543 + 68    13) 522 + 45
4) 84 + 47    9) 312 + 74    14) 184 + 62
5) 48 + 32  10) 453 + 47    15) 585 + 38

Subtraction:
1) 87 - 45     6) 150 - 84      11) 245 - 67
2) 60 - 23     7) 435 - 67      12) 642 - 93
3) 82 - 28     8) 248 - 85      13) 146 - 83
4) 59 - 25     9) 326 - 47      14) 232 - 75
5) 64 - 48   10) 217 - 92      15) 346 - 64

Multiplication:
1) 87 x 12     6) 45 x 21
2) 24 x 15     7) 45 x 17
3) 45 x 13     8) 29 x 15
4) 39 x 14     9) 54 x 13
5) 27 x 16   10) 36 x 18

Adding and subtracting numbers ending with 9:

Example: 26 + 19

1. Round 19 to the nearest ten, which is 20.
2. Add 26 and 20, which is 46.
3. Take away 1 from 46, which is 45.

Example: 45 - 19

1. Round 19 to the nearest ten,which is 20.
2. Subtract 20 from 45,which is 25.
3. Add add 1 to 25, which is 26.

Try answering the following questions:

1) 44 + 29      6) 45 + 49       11) 63 + 19
2) 56 + 39      7) 56 + 19       12) 76 + 29
3) 63 + 29      8) 82 + 29       13) 75 + 49
4) 68 + 49      9) 41 + 19       14) 67 + 69
5) 75 + 19    10) 73 + 39       15) 87 + 19


1) 44 - 29        6) 45 - 19       
2) 56 - 39        7) 56 - 19
3) 63 - 29        8) 82 - 29
4) 68 - 49        9) 41 - 19
5) 75 - 19      10) 73 - 39