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=?

Algebra

1. A pack of tea bags cost £t. Anna bought 5 packs of tea bags. She bought a jar to put in the tea bags for £j. Write an expression to find the money Anna spent.

2. A car has 4 tyres. How many tyres are there in X cars?

3. There are 8 seats in a row. If there are n rows and there are 4 more seats on the stage, write an expression which shows the total number of seats.

4. A CD costs £n and a DVD costs £m. Anna buys 4 CDs and 5 DVDs. If C is the total cost of the CDs  and DVDs, write an equation to find C?

5. Sam saves £x every week for 15 weeks. He spends £35 on a toy. Write an expression to find out how much he has left.

6. Anna bought 12 tickets costing £a each and spent £b for snacks during the break. Write an expression to find the amount she spent in total.

7. Anna has £y and Sam has £5 more than Anna. Write an expression to show how much money Sam has.

8. Anna is m years old and her brother is 4 younger than her. Write an expression to show how many years old Anna's brother is.

9. Anna's mother is x years old. Anna is 8 years old. Write an expression to show how many years old Anna's mother was when Anna was born.

10. The length of a rectangle is X cm and its breadth is half of its length. What is the perimeter of the rectangle?

11. An adult ticket costs £m and  a child ticket costs a third as much as an adult ticket. What is the cost of 2 adult tickets and 6 child tickets?

12. Seven cupcakes costs £y. What is the cost of 1 cupcake?

13. Anna has a ribbon y metres long. What length of the ribbon is left after cutting 8 pieces each x metres long?

14. Anna bought a tomato plant which was 25 cm tall. It grew x cm everyday. How tall the plant would be after 5 days?

15. Anna spent £C to buy 2 cupcakes and a coffee. If the price of 1 cupcake is £A, how much did the coffee cost?

Problem Solving

1. Tom is twice as heavy as his dog. Tom's father is three times as heavy as his son. If the dog weighs 11 kg, how much do they all weigh together?

2. Anna buys a sandwich, icecream and a drink. She pays with a £10 note and gets £3.50 in change. The ice cream costs 50p more than the drink and the sandwich costs twice as much as the drink. How much does the sandwich cost?

3. A bag has £1 and 50p coins in the ratio of 2:3. If there are 25 coins in the bag, how much money is in the bag?

4. The perimeter of a rectangle is 30 cm. The length of the rectangle is twice as much as its breadth. Calculate the length and breadth of the rectangle.

5. There are twice as many adults as children in a bus. There are 60 passengers in the bus. If 4 adults and 8 children got off in the next stop, what would be the ratio of adults to children in the bus?

6. What are the two 2 digit numbers whose sum is less than 40 and  product is 288?

7. The perimeter of a square paper is 40 cm. It is cut into two rectangular halves . What is the perimeter of one rectangular half ?

Maths-Practice Question

Ex:
Eg1. To make Sandwiches for 12 people you need 2 loaves of bread. How many loaves are needed to make Sandwiches for 18 people.
 
   2 loaves = 12 people
   1 loaf    =   6 people

x3( 6 people  = 1 loaf
      18 people = 3 loaves)

3 loaves required to make Sandwiches for 18 people.

1. To make 6 cups of squash, you need to use 1500 ml of water. How many ml of water is needed to make 15 cups of squash ?

2. You need 300g of flour to make 12 cookies. How much flour is needed to make 30 cookies?

3. Yo need 500g of sugar to make 15 cookies. How much sugar is needed to make 24 cookies?

4. Anna takes 45 minutes to walk 3 km. How long will she take to walk 30 km?

5. Sam takes 2 hours to clean 4 rooms. How many rooms will he clean in 5 hours?

6. Yo need 600g cheese to make 4 pizzas. How much cheese is needed to make 10 pizzas?

Percentage change word problems

1. A bag costs £110. It's price is reduced by 15%. what is the sale price of the bag?