1) Which of the following fractions are equivalent to 3/4?
6/9, 9/12, 5/15, 15/20, 18/24, 25/75
2) Which is bigger?
i) 0.03 or 3/10
ii) 45% or 2/5
iii) 85% or 8.5
iv) 1% or 1/100
3) Express the following fractions as percentages:
i) 4/5
ii) 7/10
iii) 2/8
iv) 17/50
4) Express the following percentages as fractions:
i) 65%
ii) 35%
iii) 18%
iv) 30%
5) A bottle can hold 500 ml. If it has 375 ml of water, what fraction of the bottle is full?
6) Find:
i) 4/7 of 28
ii) 3/5 of 105
iii) 2/9 of 216
iv) 2/3 of 378
7) Find:
i) 10% of 350
ii) 25% of 76
iii) 75% of 156
iv) 35% of 125
8) In a school, there are 264 pupils. If there are 198 boys, what fraction of the pupils are boys?
9) Ann ate 25% sweets in a pack.If there were 18 sweets left in the pack, how many sweets did Ann eat?
10) 10% of passengers in a bus were children. If there were 63 adults,how many passengers were there in the bus?
Tuesday, 26 August 2014
Wednesday, 20 August 2014
BODMAS
1) 23 - 5 x 4 = 11) 56 ÷ 7 + 16 ÷ 2 =
2) 8 + 4 x 4 = 12) 5 x 0 + 8 =
3) 3 + 8 - 4 + 5 = 13) 5 + 8 x 0 =
4) 14 + 5 ÷ 5 = 14) 18 - 0 x 3 =
5) 3 x 9 - 4 x 2 = 15) (3 + 5) x (5 + 2) =
6) 16 ÷ 2 - 2 x 2 = 16) 32 ÷ 4 - 3 =
7) (4 + 5) - 6 = 17) (9 + 8) + ( 5 x 6) =
8) 13 - 5 + 6 = 18) (6 + 7) x 6 =
9) 15 x 3 - 8 x 5 = 19) (13 - 9) x 5 =
10) 15 ÷ 3 - 6 ÷ 2 = 20) (17 - 9) x 9 =
2) 8 + 4 x 4 = 12) 5 x 0 + 8 =
3) 3 + 8 - 4 + 5 = 13) 5 + 8 x 0 =
4) 14 + 5 ÷ 5 = 14) 18 - 0 x 3 =
5) 3 x 9 - 4 x 2 = 15) (3 + 5) x (5 + 2) =
6) 16 ÷ 2 - 2 x 2 = 16) 32 ÷ 4 - 3 =
7) (4 + 5) - 6 = 17) (9 + 8) + ( 5 x 6) =
8) 13 - 5 + 6 = 18) (6 + 7) x 6 =
9) 15 x 3 - 8 x 5 = 19) (13 - 9) x 5 =
10) 15 ÷ 3 - 6 ÷ 2 = 20) (17 - 9) x 9 =
Sunday, 17 August 2014
Making simple sentences interesting
Add embedded clauses to the following sentences to make them interesting:
Example:
The cat was sleeping on the mat.
The cat, which was white with brown patches, was sleeping on the mat.
Be as imaginative as you can:
1. The dog chased the cat.
2. My friend likes football.
3. Anna won the race.
4. The cake was baked by my mother.
5. The building was made of steel and concrete.
6. Yogurt is tasty.
7. The child sat on the chair.
8. London is the capital of England.
9. The spacecraft landed safely.
10. The rollercoaster is the main attraction of the amusement park.
11. The shop is closed.
12. The balloon popped.
13.The children were noisy.
14. The house looked abandoned.
15. The fox ate the rabbit.
Note: Make five sentences (of your own) with embedded clause in them.
Example:
The cat was sleeping on the mat.
The cat, which was white with brown patches, was sleeping on the mat.
Be as imaginative as you can:
1. The dog chased the cat.
2. My friend likes football.
3. Anna won the race.
4. The cake was baked by my mother.
5. The building was made of steel and concrete.
6. Yogurt is tasty.
7. The child sat on the chair.
8. London is the capital of England.
9. The spacecraft landed safely.
10. The rollercoaster is the main attraction of the amusement park.
11. The shop is closed.
12. The balloon popped.
13.The children were noisy.
14. The house looked abandoned.
15. The fox ate the rabbit.
Note: Make five sentences (of your own) with embedded clause in them.
Wednesday, 13 August 2014
Timed Maths Questions
1. Tokyo is 9 hours ahead of London. If the local
time in Tokyo is 10:00 pm, what is the local time in London?
2. The train journey from Yokohoma to Tokyo takes 2
hours 10 minutes. If a train arrives at Tokyo at 3:55 pm, what time did it
depart from Yokohama? Give your answer in 24 hour format.
3. The duration of a play is 2 hours 45 minutes.
There is a 20 minutes break in between. If the play ends at 7:05 pm, when did it
start?
4. The test starts at 10:05 am and is divided into
two halves with a break in the middle. The break lasts 15 minutes. The halves
are both 45 minutes each. When does the whole test end?
5. What time is it 2 hours 25 minutes after half
past 10 in the morning?
6. One literacy lesson lasts 50 minutes. How many
hours do the pupils spend doing literacy lessons if they have 4 literacy
lessons per week?
7. How many minutes are there between quarter to
two in the afternoon and quarter past 3 in the afternoon?
8. The movie starts at 6:45pm. I want to reach the
cinema 10 minutes early to get a good seat. It takes a 17 minute bus ride and a
7 minute walk to reach the cinema. Bus runs every 6 minutes from the hour (eg
6:00, 6:06, 6:12…..). What is the latest bus I can get to go the cinema?
9. It takes 10 minutes to prepare a cake, 27
minutes to bake and 15 minutes to decorate it. If Ellie finishes making a cake at
2:17pm, what time did she start preparing the cake? Remember to allow the cake
to cool for 13 minutes.
10. Brenda goes to work 6 days a week. It takes her
45 minutes to go to work and the same time to come back home. How much time does
she spend to go to and from work in a working week?
11. Kelly goes to a Tennis club. Each lesson is 30
minutes long plus 5 minutes to kit up. What
is the total time taken for 5 lessons?
12. Fulham FC and Willoughby City are two football
teams. Fulham FC score goals every 7 minutes and Willoughby City scores goals
every 8 minutes. If both teams play a 90 minute match, how many goals will each
team score?
13. Anna reads 1 hour and 15 minutes every day. If
she spends a fifth of her reading time doing mental maths, how much time does
she spend doing mental maths?
14. If the train from London to Manchester leaves London
at 18:54 and reaches Manchester at 21: 13, how long is the journey?
15. James goes to bed at 20:45 and wakes up at
07:00. If his elder brother goes to bed at 21:15 and his sleep time is 20
minutes less than James, what time does he wake up?
Tuesday, 12 August 2014
Direct Speech to Reported Speech
1. The distressed boy muttered to himself, "I am going to have a meltdown if this continues."
2. The cheerful monkey asked his friend, "Do you want to eat bananas?"
3. The security guard announced, "Please have your passports ready to be checked."
4. Anna said to Sara, "I went to Paris during the summer holidays with my family."
5. The old man asked the boy, "Can you help me cross the road?"
6. My mother said to me, "Finish your homework before you go out to play!"
7. The GPS said, “Go right at the roundabout, first exit.”
8. Super Sam asked, “Will you pick up my socks?”
9. The blaring loudspeaker crackled, “Mind the gap!”
10. John screamed, “I spilled grape juice all over my new shirt.”
2. The cheerful monkey asked his friend, "Do you want to eat bananas?"
3. The security guard announced, "Please have your passports ready to be checked."
4. Anna said to Sara, "I went to Paris during the summer holidays with my family."
5. The old man asked the boy, "Can you help me cross the road?"
6. My mother said to me, "Finish your homework before you go out to play!"
7. The GPS said, “Go right at the roundabout, first exit.”
8. Super Sam asked, “Will you pick up my socks?”
9. The blaring loudspeaker crackled, “Mind the gap!”
10. John screamed, “I spilled grape juice all over my new shirt.”
11. The teacher said to the pupils, "Take your maths books out, go to page number 23 and do all the questions."
12. Sarah screamed, “Run! The building is collapsing!”
13. The sad slave groaned, “When will our hardship end?”
14. The scary alien leader boomed, " You cannot escape from us!"
15. The child read out loud, "There was once a beetle called Bob. Bob led a happy life with his friends Fred and John. Fred was a frog. John was a grasshopper."
Exercises:
1. Pick out the adjectives in the sentences
2. Change all of the sentences into reported speech.
Thursday, 31 July 2014
Timed Maths Questions 04/08/14 - Measures
Time: 15 mins
1. Arrange the following masses from the smallest to the biggest:
980 g, 1 kg 70g, 1.703 kg, 1.34 kg
2. The capacity of a jar is 2.4 L. An oil bottle has 300 ml of oil. How many oil bottles can be emptied into the jar until it's full?
3. What is 15% of 400g?
4. The capacity of a jug is 3.5 litres. How many litres does it hold when it is 80% full?
5. A chocolate bar weighs 125 g. Jessie eats 3/5 of it. What is the mass of the chocolate bar that is left?
6. A car travels 10 km im 15 minutes. What distance does it travel in 2 hours?
7. How many 200 ml cups can be filled with 4 litres of squash?
8. A man weighs 80 kg. He loses 8 kg. What fraction of weight does he lose? What is the percentage of weight loss?
9. How many grams is 2.09 kg less than 3 kg?
10. Sweets are packed in bags of 300 g. How many bags can be packed from 1.8 kg sweets?
11. Alex wants to cycle from Abvale to Dovale. The distance between the towns is 576 km. He cycles 1/6 of the total distance in day 1, 1/4 in day 2 and 1/3 in day 3. How far does he have cycled in 3 days?
12. Alex feeds his fish 8 grams of food daily. How long does 500g of fish food last?
13. How much squash is made by adding four times as much water to 500 ml squash mix?
15. 500 g butter costs £2.25. How much does 2 kg butter cost?
1. Arrange the following masses from the smallest to the biggest:
980 g, 1 kg 70g, 1.703 kg, 1.34 kg
2. The capacity of a jar is 2.4 L. An oil bottle has 300 ml of oil. How many oil bottles can be emptied into the jar until it's full?
3. What is 15% of 400g?
4. The capacity of a jug is 3.5 litres. How many litres does it hold when it is 80% full?
5. A chocolate bar weighs 125 g. Jessie eats 3/5 of it. What is the mass of the chocolate bar that is left?
6. A car travels 10 km im 15 minutes. What distance does it travel in 2 hours?
7. How many 200 ml cups can be filled with 4 litres of squash?
8. A man weighs 80 kg. He loses 8 kg. What fraction of weight does he lose? What is the percentage of weight loss?
9. How many grams is 2.09 kg less than 3 kg?
10. Sweets are packed in bags of 300 g. How many bags can be packed from 1.8 kg sweets?
11. Alex wants to cycle from Abvale to Dovale. The distance between the towns is 576 km. He cycles 1/6 of the total distance in day 1, 1/4 in day 2 and 1/3 in day 3. How far does he have cycled in 3 days?
12. Alex feeds his fish 8 grams of food daily. How long does 500g of fish food last?
13. How much squash is made by adding four times as much water to 500 ml squash mix?
15. 500 g butter costs £2.25. How much does 2 kg butter cost?
Wednesday, 30 July 2014
Timed Maths Questions 28/07/14
1. Which is bigger?
4/7 of 42 or 5/7 of 56
2. What is the perimeter of a square with an area 36 square metres?
3. 25 L of hyperfuel is needed to power a cargo ship for 5 light years. If the destination is 125 light years away, how many litres of hyperfuel is needed to make the journey?
4. If 6 litres vegetable oil costs £8.80, how much does 750 ml cost?
5. There are two countries, Forwards and Backwards. Forwards has pods as its currency, Backwards has dops as its currency. If
5 dops is equal to 1.25 pods, how many pods is equal to 1000 dops?
6. Tom, Betty, Saly, Jane and James go to a sailing club. 1 lesson costs £2.50 and boat hire cost £5. Only Tom, Saly and Jane hire sailing boats. Betty, Jane and Saly take 2 lessons each. Tom and James took 5 lessons in total. How much does it cost for all of the lessons, including boat hire?
6. What is 3 units plus 4 tens divided by ten?
7. Pencils come in packs of 20. If 1 pack costs £3.50, how much does 120 pencils cost?
8. A basket has 50 apples. 10% of the apples were rotten. After removing the rotten apples from the basket, 4/5 of the good apples were sold. How many apples remain in the basket?
9. In a bouquet, 1/10 of the flowers were daisies, 45% were carnations and the rest were roses. If there were 40 flowers in the bouquet, how many roses were there?
10. Mr.Smith went to a restaurant to eat lunch. He had pasta, salad, ice cream and a drink. He paid with a £20 note and got £4.60 change. If the pasta costed £6.70, salad £4.55 and drink £1.35, how much did the ice cream cost?
11. What is the sum of all the multiples of 9 between 50 and 100?
12. The capacity of an inflatable pool is 1650 litres and the capacity of a bucket is 50 litres. How many bucket loads of water is needed to fill the pool?
13. 3/8 of __________ = 27
14. 40% of __________ = 240
15. 10% of _________ = £1.50
3. 25 L of hyperfuel is needed to power a cargo ship for 5 light years. If the destination is 125 light years away, how many litres of hyperfuel is needed to make the journey?
4. If 6 litres vegetable oil costs £8.80, how much does 750 ml cost?
5. There are two countries, Forwards and Backwards. Forwards has pods as its currency, Backwards has dops as its currency. If
5 dops is equal to 1.25 pods, how many pods is equal to 1000 dops?
6. Tom, Betty, Saly, Jane and James go to a sailing club. 1 lesson costs £2.50 and boat hire cost £5. Only Tom, Saly and Jane hire sailing boats. Betty, Jane and Saly take 2 lessons each. Tom and James took 5 lessons in total. How much does it cost for all of the lessons, including boat hire?
6. What is 3 units plus 4 tens divided by ten?
7. Pencils come in packs of 20. If 1 pack costs £3.50, how much does 120 pencils cost?
8. A basket has 50 apples. 10% of the apples were rotten. After removing the rotten apples from the basket, 4/5 of the good apples were sold. How many apples remain in the basket?
9. In a bouquet, 1/10 of the flowers were daisies, 45% were carnations and the rest were roses. If there were 40 flowers in the bouquet, how many roses were there?
10. Mr.Smith went to a restaurant to eat lunch. He had pasta, salad, ice cream and a drink. He paid with a £20 note and got £4.60 change. If the pasta costed £6.70, salad £4.55 and drink £1.35, how much did the ice cream cost?
11. What is the sum of all the multiples of 9 between 50 and 100?
12. The capacity of an inflatable pool is 1650 litres and the capacity of a bucket is 50 litres. How many bucket loads of water is needed to fill the pool?
13. 3/8 of __________ = 27
14. 40% of __________ = 240
15. 10% of _________ = £1.50
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