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

Synonnyms - 11 Jun

Synonyms

1. change                             m - - i f -

2. ceremony                        - i t - a -

3. chaos                              - a - h - m

4. prospect                          c - a n - e

5. charming                         a - p - - l - n g

6. cheeky                             i m - u - e n t

7. choke                               s - f f - - a - e

8. hygiene                             c - - a - l - n - s

9. comment                           r - m - - k

10. compliment                    a p - r - - - a - e

11. collapse                          t - - b - e

12. objection                         - r - - e - t

13. chaotic                             d i - o - d - - l y

14. colourful                          v - b - r - n t

15. complicated                     - l  - b - r - - e

16. conquer                            - v - r - - m r

17. conceited                           a - - o g - n t

18. commit                              - e - f  - r m

19. consequence                      o - t - - m e

20. convince                            a - - u r -

21. contempt                            h - - r - d        
                                                 s - o - n
                                                 d - - g - s t
                                                 d - - l - k e

22. cruel                                   b - u - a l
                                                 s - v - g -
                                                 b - r b - r - c

23. prominent                          n - t - b - e

24. obvious                              a - - a - e - t

25. uncanny                             s - r - n g e
                                                m y s - e - i - - s

26. precarious                         d - n - e r - - s

27. derelict                              d - l - p - d - - e d

28. desolate                             l - - e - y

29. defy                                   r e - - s t
                                                d i - o b - y

30. contradict                          d - - p - t e
                                                d - s a - r - -

31. deceitful                            d - - h - e s t

32. defiant                               o - - t - n - t e
                                                 s - - b b - r n

33. deliever                             s - p p - y
                                                d - s t r i - u t e
                                                c - n - - y

34. detest                                 h - - e
                                                 l  - -  t - e

35. devoted                               d - - i - a - e d
                                                  c o - - i a - e d
                                                   

36. ardous                                   - - f f - c - - t

37. dignified                               n - - - e
                                                   d - s - - n g - - s h - d

38. dingy                                    d - - m - l
                                                   g -  o o - y
                                                   d - l - - y

39.tragedy                                  - - s h - p

40. sceptical                               d - - b t - - l
                                                   u n - - r - - i n

                               

Finding fractions

Example:

What fraction of £1 is 20p?

This is how you work out.

£1 = 100p

You keep 100p in the denominator and 20p in the numerator. 20p/100.

Now reduce the fraction to lowest terms. Divide the numerator and denominator by the same number. After a bit of working out, you will get the answer: 1/5

Now try the following questions.

1. What fraction of a pound is 35p?

2. What fraction of a pound is 40p?

3. What fraction of a pound is 75p?

4. What fraction of a pound is 50p?

5. What fraction of a pound is 60p?

6. What fraction of a pound is 25p?

7. What fraction of a pound is 80p?

8. What fraction of a pound is 65p?

9. What fraction of a pound is 85p?

10. What fraction of a pound is 18p?

11. What fraction of a litre is 100 ml?

12. What fraction of £5 is £3.50?

13. What fraction of £3 is £1.80?

14. What fraction of £10 is £6?

15. What fraction of £5 is £2.50?

16. What fraction of £20 is £5?

17. What fraction of a kilogram is 400g?

18. What fraction of a kilometre is 800m?

19. What fraction of a kilometre is 450m?

20. What fraction of 1 hour is 20 minutes?

21. What fraction of 1 hour is 10 minutes?

22. What fraction of 1 hour is 18 minutes?

23. What fraction of 1 hour is 24 minutes?

24. What farction of a kilometre is 250m?

25. What fraction of a kilometre is 750m?

Now try these word problems. Give your answers in the lowest terms:

Read the questions carefully. The first step in answeing these questions is to find out what goes on the denominator and numerator. 

1. Anna had £3.60. She spent 60p to buy a pencil.

a) What fraction of money did she spend?

b) What fraction of money did she left?

2. The distance between city A and city B is 56 km. Anna decided to walk from city A to city B. On the first day, she walked 16 km. On the second day, she walked 24 km. 

a) What fraction  of the distance did she walk on the first day?

b) What fraction of the distance did she walk on the second day?

c) What fraction of the distance did she walk on the first and second day combined?

d) What fraction of the distance did she have left to walk?

3. There were 30 children in Year 5. 9 children had pets. What farction of the children had pets?What fraction of children did not have pets?

4. Anna decided to read a book with 90 pages. She read 75 pages. What fraction of the book is left to be read?

5. A box has 45 chocolates. 15 are mint flavoured. What fraction of the chocolates were not mint flavoured?

6. Kitchen floor was covered with 300 tiles. 75 were white. Rest were black. What fraction of the tiles were black?

7. Anna spent 45 minutes to do her homework. She spent18 minutes to do maths. 27 minutes to do writng work. 

a) What fraction of the time did she spend to do maths work?

b) What fraction of the time did she spend to do writing work?

8. Anna had £64. She spend £24 to buy video games and £20 to buy action figures.

a) What fraction did she spend to buy video games?

b) What fraction did she spend to buy action figures?

c) What fraction did she left?

9. A jar had to 2 litres of juice. 1500 ml was used.

a) What fraction of juice was left in the jar?

b) What fraction of juice was used?

10. I CHEW A LOT OF GUMS.

a) What fraction of the letters in the above sentence are vowels?

b) What fraction of the letters in the above sentence are consonants?

Maths-Timed Test - 5 Mins

1. 1/2 of 1.5=

2. 3/4 of 1.8=

3. 1/5 of 3 =

4. 1/8 of 2 =

5. 12.5 %  = 1/x  what is x?

6. 50% of 180 = x/y of 150 what is x and y value?

7. 242 x 62 = 15004
  
   242 x 31 =
   24.2 x 31 =
   2.42 x 3.1 =

8. 35 x 12 = 420
 
   350 x 1.2 =
   0.35 x 12 =
   35 x 1.2  =
   3.5 x 1.2 =

9. Double 3.24 =

10. Half of 1.08 =

11. Three quarters of 2.8 =

12. 7.5 - x = 3.4 , x=?

13. x-3.5 = 2.1 , x = ?

14. 1175 - x = 348 , x=?

15. x - 346 = 784 , x=?

16. 349 + x = 500, x=?

17. x+312 =600 , x=?

18. 1000 - x = 275 , x=?
   
19.  1000 / x = 50 , x=?

20.   x /8 =24 , x=?


21. x * 8 = 192 ,  x=?


22. 32 * x = 192 , x=?

23. 60% of 2.5 = ?

24. 70% of 1.4 =?

25. 65% of 20 = ?

Maths - Timed Test2 -5 Mins

1. 1/2 of 0.5= ?

2. 3/4 of 80 = ?

3. 15% of 160 =?

4. 175+147=?

5.147-112=?

6. 2.99*5 =?

7. 3.02 * 5= ?

8. 1/4 of 120 =?

9. 4/5 of 700=?

10. 2/3 of 600 =?

11. 500-375=?

12. 600-483=?

13. x+6.3 = 10 , x=?

14. 7x =189, x=?

15. x-7.3 = 4.9 x=?

16. 1.05+1.5=?

17. 80% of 10.40 =?

18. 35% of 700=?

19.412+412+412=?

20. 1.05kg - 300 g= ?g

Maths Timed Test - 3 Mins

1. 576 + 134 =?

2. 1/2 of 1.04 =?

3. 3/5 of 120 =?

4. what is the perimeter of a rectangle that is 2m long and 75cm wide?

5. what is the perimeter of a square whose side is 1.2m long?

6.  20% of £7.00 = ?

7. 30% of £17.00=?

8. 10% of £1.50=?

9. 40% of £2.50=?

10. 80% of  £3.50=?