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?
Sunday, 12 April 2015
Tuesday, 31 March 2015
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 ?
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?
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?
Tuesday, 6 January 2015
Word Problems 05/01/15
1. A pack of 4 pencils costs 80p. What is the cost of 17 pencils?
2. A pack of 3 donuts costs 75p. What is the cost of 20 donuts?
3. A pack of 6 pens costs £3.00. What is the cost of 20 pens?
4. A pack of 8 crayons costs £3.60. What is the cost of 25 crayons?
5. A pack of 10 lollipops costs £2.20. What is the cost of 50 lollipops?
6. A pack of 5 cupcakes costs £3.85. What is the cost of 12 cupcakes?
7. A pack of 4 cakes costs £1.52. What is the cost of 15 cakes?
8. A pack of 12 markers costs £1.32. What is the cost of 100 markers?
9. A pack of 15 pencils costs £1.80. What is the cost of 100 pencils?
10. A pack of 25 candles costs £3.00. What is the cost of 60 candles?
11. A pack of 4 lollipops costs £1.12. How many lollipops can be bought for £3.00?
12. A pack of 5 donuts costs £1.60. How many donuts can be bought for £5.00?
13. A pack of 6 pencils costs £3.90. How many pencils can be bought for £10.00?
14. A pack of 8 cupcakes costs £6.00. How many cupcakes can be bought for £10.00?
15. A pack of 3 cakes costs £4.20. How many cakes can be bought for £7.00?
16. A pack of 12 crayons costs £1.80. How many crayons can be bought for £15.00?
17. A pack of 5 erasers costs £1.20. How many erasers can be bought for £6.00?
18. A pack of 20 disposable cups costs 99p. How many cups can be bought for £10?
19. A pack of 15 paper plates costs 99p. How many paper plates can be bought for £10?
20. A pack of 50 straws 49p. How many straws can be bought for £10?
2. A pack of 3 donuts costs 75p. What is the cost of 20 donuts?
3. A pack of 6 pens costs £3.00. What is the cost of 20 pens?
4. A pack of 8 crayons costs £3.60. What is the cost of 25 crayons?
5. A pack of 10 lollipops costs £2.20. What is the cost of 50 lollipops?
6. A pack of 5 cupcakes costs £3.85. What is the cost of 12 cupcakes?
7. A pack of 4 cakes costs £1.52. What is the cost of 15 cakes?
8. A pack of 12 markers costs £1.32. What is the cost of 100 markers?
9. A pack of 15 pencils costs £1.80. What is the cost of 100 pencils?
10. A pack of 25 candles costs £3.00. What is the cost of 60 candles?
11. A pack of 4 lollipops costs £1.12. How many lollipops can be bought for £3.00?
12. A pack of 5 donuts costs £1.60. How many donuts can be bought for £5.00?
13. A pack of 6 pencils costs £3.90. How many pencils can be bought for £10.00?
14. A pack of 8 cupcakes costs £6.00. How many cupcakes can be bought for £10.00?
15. A pack of 3 cakes costs £4.20. How many cakes can be bought for £7.00?
16. A pack of 12 crayons costs £1.80. How many crayons can be bought for £15.00?
17. A pack of 5 erasers costs £1.20. How many erasers can be bought for £6.00?
18. A pack of 20 disposable cups costs 99p. How many cups can be bought for £10?
19. A pack of 15 paper plates costs 99p. How many paper plates can be bought for £10?
20. A pack of 50 straws 49p. How many straws can be bought for £10?
Tuesday, 16 December 2014
Negative Integers
1. Which is bigger?
a) -3 or -10
b) 3 or -3
c) -2 or -4
d) -10 or 15
e) -6 or -9
2. The following table shows the temperature in London in a given week:
Monday -3°C
Tuesday -5°C
Wdenesday -2°C
Thursday 1°C
Friday -7°C
Saturday 4°C
Sunday 2°C
a) On which day is the temperature the lowest?
b) On which day is the temperature the highest?
c) If you arrange the temperatures from the lowest to the highest, which day will be in the middle?
Note:
Answer for the following questions(d to h) should be given as 'increased or decreased by ___°C'.
d) What is the temperature difference between Monday and Friday??
e) What is the temperature difference between Wednesday and Friday?
f) What is the temperature difference between Tuesday and Friday?
g) What is the temperature difference between Tuesday and Sunday?
h) What is the temperature difference between Wednesday and Sunday?
3. The following table shows the temperature in different cities on a given day:
London 1°C
New York -2°C
Stockholm -6°C
Toronto -8°C
Sydney 22°C
Los Angeles 13°C
Rio de Janeiro 25°C
a) What is the difference in temperature between Los Angeles and Toronto?
b) What is the difference in temperature between Stockholm and London?
c) What is the difference in temperature between Los Angeles and Stockholm?
d) Which city has the lowest temperature?
e) What is the difference in temperature between Toronto and Sydney?
f) What is the difference in temperature between Rio de Janeiro and Toronto?
g) What is the difference in temperature between Toronto and New York?
4. Use number line to work out the following calculations:
a) 6 - 8 = f) 5 - 2 =
b) -7 + 4 = g) -4 - 3 =
c) -8 + 3 = h) -3 -3 =
d) 5 - 10 = i) -6 +2 =
e) 2 - 8 = j) 1 - 4 =
a) -3 or -10
b) 3 or -3
c) -2 or -4
d) -10 or 15
e) -6 or -9
2. The following table shows the temperature in London in a given week:
Monday -3°C
Tuesday -5°C
Wdenesday -2°C
Thursday 1°C
Friday -7°C
Saturday 4°C
Sunday 2°C
a) On which day is the temperature the lowest?
b) On which day is the temperature the highest?
c) If you arrange the temperatures from the lowest to the highest, which day will be in the middle?
Note:
Answer for the following questions(d to h) should be given as 'increased or decreased by ___°C'.
d) What is the temperature difference between Monday and Friday??
e) What is the temperature difference between Wednesday and Friday?
f) What is the temperature difference between Tuesday and Friday?
g) What is the temperature difference between Tuesday and Sunday?
h) What is the temperature difference between Wednesday and Sunday?
3. The following table shows the temperature in different cities on a given day:
London 1°C
New York -2°C
Stockholm -6°C
Toronto -8°C
Sydney 22°C
Los Angeles 13°C
Rio de Janeiro 25°C
a) What is the difference in temperature between Los Angeles and Toronto?
b) What is the difference in temperature between Stockholm and London?
c) What is the difference in temperature between Los Angeles and Stockholm?
d) Which city has the lowest temperature?
e) What is the difference in temperature between Toronto and Sydney?
f) What is the difference in temperature between Rio de Janeiro and Toronto?
g) What is the difference in temperature between Toronto and New York?
4. Use number line to work out the following calculations:
a) 6 - 8 = f) 5 - 2 =
b) -7 + 4 = g) -4 - 3 =
c) -8 + 3 = h) -3 -3 =
d) 5 - 10 = i) -6 +2 =
e) 2 - 8 = j) 1 - 4 =
Tuesday, 9 December 2014
Time Problems
Write the following times in 24 hour clock format:
Example:
5:15 AM should be written as 05:15
6:15 PM should be written as 18:15
1) Quarter to 6 in the morning.
2) 3:30 PM
3) Quarter past 10 in the morning
4) 20 minutes past 12 in the night
5) 12:15 AM
6) Quarter to 12 in the night
7) 4:25 PM
8) 11:45 AM
9) 4 minutes to 8 in the night
10) 8:23 PM
Word Problems:
1. Tom has to catch 08:17 train to work. If he takes 20 minutes to walk to the station, what time should he leave home?
2. Anna takes 35 minutes to get ready, 18 minutes to eat breakfast and 9 minutes to walk to school.What is the latest time she can wake up if she has to reach school at 8:25 AM?
3. Anna goes to ballet lessons every Saturday. The 40 minutes lesson ends at 11:05 AM. What time does it start?
4. Sam wants to watch a movie which runs for 123 minutes. If he starts at 4:15 PM, at what time will the movie end?
5. It took 3 hours 42 minutes for Anna to travel from London to Manchester. If Anna reched Manchester at 8:17 PM, at what time did she leave London?
Example:
5:15 AM should be written as 05:15
6:15 PM should be written as 18:15
1) Quarter to 6 in the morning.
2) 3:30 PM
3) Quarter past 10 in the morning
4) 20 minutes past 12 in the night
5) 12:15 AM
6) Quarter to 12 in the night
7) 4:25 PM
8) 11:45 AM
9) 4 minutes to 8 in the night
10) 8:23 PM
Word Problems:
1. Tom has to catch 08:17 train to work. If he takes 20 minutes to walk to the station, what time should he leave home?
2. Anna takes 35 minutes to get ready, 18 minutes to eat breakfast and 9 minutes to walk to school.What is the latest time she can wake up if she has to reach school at 8:25 AM?
3. Anna goes to ballet lessons every Saturday. The 40 minutes lesson ends at 11:05 AM. What time does it start?
4. Sam wants to watch a movie which runs for 123 minutes. If he starts at 4:15 PM, at what time will the movie end?
5. It took 3 hours 42 minutes for Anna to travel from London to Manchester. If Anna reched Manchester at 8:17 PM, at what time did she leave London?
Tuesday, 2 December 2014
Word Problems
Price list
Shirt £34 Trousers £45
Shoes £39 Dress-Ladies £48
Handbag-small £18 Dress-Girls £27
Handbag-big £38 Coat £56
Hat £9 Trainers £35
Scarf £14 Pajamas £12.50
Slippers £15 Tie £13
1. Anna bought 3 items from the above list. She paid £40 and got £2 change. what 3 items did she buy?
2. What two items from the above list cost exactly £40(together)?
3. If ladies' dresses were on sale for 25% off, how much would it cost to buy 3 dresses?
4. If shoes were on sale for 10% off, how much would a pair of shoes cost?
5. Which 3 items from the above list cost £100 together?
On Saturday, all the items were on 'buy one and get the second one half off' sale.
1. Anna bought 2(same) items and paid £51. What item did she buy?
2. How much would it cost to buy
a) 2 coats
b) 2 big hand bags
c) 2 ties
d) 2 girls' dresses
e) 2 pairs of trainers?
Note: Do not use the above price list for the following problems.
1. A dozen eggs cost £5.10. What is the cost of 4 eggs?
2. 4 cupcakes cost £2.50. What is the cost of 10 cupcakes?
3. 250 g of butter costs £1.25. What is the cost of 3 kg butter?
4. Six bread rolls cost £2.40. What is the cost of 10 bread rolls?
5. 500g sugar costs £1.60. What is the cost of 3.25 kg sugar?
Shirt £34 Trousers £45
Shoes £39 Dress-Ladies £48
Handbag-small £18 Dress-Girls £27
Handbag-big £38 Coat £56
Hat £9 Trainers £35
Scarf £14 Pajamas £12.50
Slippers £15 Tie £13
1. Anna bought 3 items from the above list. She paid £40 and got £2 change. what 3 items did she buy?
2. What two items from the above list cost exactly £40(together)?
3. If ladies' dresses were on sale for 25% off, how much would it cost to buy 3 dresses?
4. If shoes were on sale for 10% off, how much would a pair of shoes cost?
5. Which 3 items from the above list cost £100 together?
On Saturday, all the items were on 'buy one and get the second one half off' sale.
1. Anna bought 2(same) items and paid £51. What item did she buy?
2. How much would it cost to buy
a) 2 coats
b) 2 big hand bags
c) 2 ties
d) 2 girls' dresses
e) 2 pairs of trainers?
Note: Do not use the above price list for the following problems.
1. A dozen eggs cost £5.10. What is the cost of 4 eggs?
2. 4 cupcakes cost £2.50. What is the cost of 10 cupcakes?
3. 250 g of butter costs £1.25. What is the cost of 3 kg butter?
4. Six bread rolls cost £2.40. What is the cost of 10 bread rolls?
5. 500g sugar costs £1.60. What is the cost of 3.25 kg sugar?
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