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Sunday, December 23, 2007

P6 Problem Sums Jan'08

Sorry for the delay.

1. Ben bought 3 times as many toy cars as game cartridges. He spent $1615 altogether. A game cartridge costs $15 more than the total cost of game cartridges. Find the cost of a game cartridge.

2. Mrs Lin bought 12 pears and 4 apples. Mrs Wang bought 12 apples and 4 pears. Mrs Wang paid $1.60 less than Mrs Lin. If an apple costs 35 cents, how much did a pear cost?

3. Limei went to the market with $48. This amount of money was just enough to buy 4kg of beef and 3 kg of mutton. Limei, however, bought 3kg of beef and 4 kg of mutton and had $1.50 left. Find the cost of 1kg of mutton.

4. Mr Fu paid $404 for some jackets and T-shirts. A jacket cost $20 and a T-shirt was $8 cheaper than the jacket. If he bought 7 more T-shirts than jackets, how many jackets and how many T-shirts did he buy?

5. On tree-planting day, 40 pupils planted some trees. Each boy planted 3 trees and each girl planted 2 trees. The boys planted 30 more trees than the girls. How many boys were there?

6. Box A contains 50-cent coins and Box B contains 20-cent coins. There are 19 more coins in Box B than in Box A. But the amount of money in Box A is $1.30 more than the amount of money in Box B. How much money was there in Box A?

7. A big tank had 890 litres of water. A small tank had 170 litres of water. When an equal amount of money was added to both tanks, the big tank had 3 times as much water as the small tank. How much water was added to each tank?

8. Ann, Ben and Mike spent $566. Ann spent $176 more than Ben and Mike spent $60 less than Ben. How much Ben spend?

9. Jane is thinking of a number. When it is divided by 6, the quotient is a whole number. When it is divided by 9, the quotient is also a whole number. What is the number?

10. Susan wants to arrange her stamps in columns on a card. If she puts 8 stamps in each column, she will have 2 stamps left. If she puts 9 stamps in each column, she will be short of 4 stamps. How many stamps does she have?

11. A teacher bought 100 cookies for her pupils. If she gave each pupil 3 cookies, she would need 8 more cookies. How many pupils were there in her class?

12.Mrs Lin bought a certain number of rambutans for 5 scouts to be shared equally among them. As one of them had a stomachache, each of the remaining 4 could have an additional 3 rambutans. How many rambutans did she buy for the 5 scouts?

P5 synthesis (Jan)

1. Alex likes riding in cars. He likes travelling on aeroplanes more.
______________________________________prefers________________________________________________.

2. Jenny likes living in Australia. She likes living in Singapore more.
______________________________________would rather__________________________________________.

3. Mildred likes to spend time with Janice, but not with Susan.
______________________________________would rather__________________________________________.

4. Melissa hates taking the bus. She prefers to take the MRT.
_____________________________________would rather___________________________________________.

5. Ian enjoys jogging in the park but dislikes swimming in the sea.
______________________________________prefers________________________________________________.

6. Amelia likes listening to classical music more than popular music.
_____________________________________would rather___________________________________________.

7. I like drinking tea but not coffee.
______________________________________prefer_________________________________________________.

8. Leila hates feeling bored at home during the school holidays. She doesn't mind going to school then.
_____________________________________would rather___________________________________________.

9. They like to spend their free time fishing, but not shopping.
______________________________________prefer_________________________________________________.

10. Roy likes to watch his pet fish more than playing computer games.
______________________________________prefers________________________________________________.

11. The form teacher will punish him. If not, the discipline master will. (Either...or...)
12. Howard and Russell are not good with their hands. (Neither....nor....)
13. Bronwyn may be the top student this year. Charlie may be the top student also.(Either...or...)
14. It is my brother or my sister who has to do the dishes tonight.(Either...or...)
15. Aunt Usha dislikes roses. Aunt Kitty dislikes roses too. (Neither....nor....)
16. Mrs Ong is a strict teacher. We dare not even whisper during her lesson. (......such....that....)
17. Mr Wee was very angry. He tore up his son's report card. (....so...that....)
18. Ally is so smart. She has won all the academic prizes every year. (.....so.....that....)
19. The lawyer's reasoning was compelling. The judge had to accept it. (....so.....that....)
20. He had missed a great many lessons. His absence no longer surprised his teacher. (....so.....that....)
21. Rudi ignored her mother's pleas. She decided to move out. (Despite....)
22. There was great community support, but the football team was not formed. (In spite of...)
23. Mrs Ebony is still going to invite the clown to perform at Luke's birthday party. Luke's protests are ignored. (.....despite...)
24. Nancy tried on many pairs of jeans. She could not find the perfect one. (......in spite of....)
25. They are not allowed to watch the uncut film. They are allowed to watch the censored version of it. (Unless....)
26. Sharon will not be able pass the PSLE. She needs to start revising. (......unless....)
27. A full marathon cannot be completed easily. Regular and intensive training is needed. (Unless......)
28. The luggage can be placed in this corner. You may prefer to store it in the cupboard instead. (.....unless.....)
29. Sarah has to water the potted plant or it will wither soon. (.....lest....)
30. We must lock the front door. A thief may try and break in. (...in case.....)
31. She should hear Tom’s explanation, then she would not be so angry with him. (......if......)
32. We must listen out for the baby’s cries. She might be hungry. (....in case....)
33. “Did you post my letters for me?” Grandma asked Jack.
Ans: Grandma asked Jack........
34. “I will deliver it personally tomorrow,” he said.
Ans: He said.........
35. “Never accept gifts from strangers,” Grace’s father said to her.
Ans: Grace’s father warned .......

Monday, December 17, 2007

P6 Synthesis

1. Alex likes riding in cars. He likes travelling on aeroplanes more.
______________________________________prefers________________________________________________.

2. Jenny likes living in Australia. She likes living in Singapore more.
______________________________________would rather__________________________________________.

3. Mildred likes to spend time with Janice, but not with Susan.
______________________________________would rather__________________________________________.

4. Melissa hates taking the bus. She prefers to take the MRT.
_____________________________________would rather___________________________________________.

5. Ian enjoys jogging in the park but dislikes swimming in the sea.
______________________________________prefers________________________________________________.

6. Amelia likes listening to classical music more than popular music.
_____________________________________would rather___________________________________________.

7. I like drinking tea but not coffee.
______________________________________prefer_________________________________________________.

8. Leila hates feeling bored at home during the school holidays. She doesn't mind going to school then.
_____________________________________would rather___________________________________________.

9. They like to spend their free time fishing, but not shopping.
______________________________________prefer_________________________________________________.

10. Roy likes to watch his pet fish more than playing computer games.
______________________________________prefers________________________________________________.

P4 Science - Matter

1. What is matter?
2. Name 7 non-matter.
3. What are the 3 states of matter?
4 What are the properties of (a) solids?
(b) liquids?
(c) gases?
5. How is a solid different from a liquid?
6. How is a solid different from a gas?
7. How is a liquid different from a gas?
8. What is the boiling point of water?
9. What is the freezing point of water?
10. What is the change in state when water evaporates?
11. What is the change in state when ice melts?
12. What is the change in state when water freezes?
13. List 3 ways in which an ice cube is different from water vapour?
14. What is observed water boils?
15. Does pure water or sea water boil at a higher temperature?

P4 Maths

1. I have 12 ribbons. Sally has 24 times as many as I have. How many ribbons do we have altogether?

2. Find the factors of:
(a) 48
(b) 56
(c) 132
(d) 200
(e) 84
(f) 99
(g)180
(h) 96
(i) 108
(j) 49

3. Peter has 49896 marbles. He puts them into 8 separate bags.
(a) How many marbles are there in 4 bags?
(b) How many marbles are there in 6 bags?

4. Half a number plus 24 gives an answer that is twice of the number. What is the number?

5. Tom and Jerry have a total of 56765 sticks. Tom has 6 times as many sticks as Jerry.
(a) How many sticks does Jerry have?
(b) How many sticks does Tom have?
(c) How many more sticks does Tom have than Jerry?

P5 Problem Sums

P5 Problem Sums


1. Jane, Alice and Peter had a sum of money. After Jane spent ¼ of her money, Alice spent $80 of hers and Peter spent ½ of his money, they had an equal amount of money left. If they had a total of $1008 in the end, how much did each of them have at first?

2. There were 1518 boys and girls in a room. When 2/3 of the boys and 1/5 of the girls left the room, there were twice as many girls as boys remaining in the room.
(a) How many girls were there at first?
(b) How many boys were there at first?

3. Cleo wanted to buy 16 similar shirts but she was $8 short. If she had bought 7 such shirts instead, she would have $19 left.
(a) What was the cost of 2 such shirts?
(b) How much money did Cleo have?

4. Mrs Baker bought some flour. She used ¼ of it to bake 16 cherry pies and packed the rest equally into 9 bags. There were 250g more flour in 2 similar bags than what was used for a cherry pie. If all the flour was packed into 25 bags instead, how much flour would there be in each bag? (sorry, please change 16 cherry pies to 15 and 250g to 270g.)

5. Half of a number is 90 more than a fifth of the number. What is the number?

6. Tom is nine years younger than Gary who is 13 years old. How many years later will Tom be of half Gary’s age?

7. Sally and Sandy have a total age of 45. Sally is 15 years older than Sandy. What was their total age when Sandy was half as old as Sally?

8. Eugene is 15 years old. His sister is 3/5 of his age. His sister is 3/11 of their mother’s age.
(a) How much older is Eugene’s mother than Eugene?
(b) In how many years’ time will Eugene’s mother be twice his age?

9. Juliana and Patrick had some marbles. If Juliana gave Patrick 20 marbles, both of them would have an equal number of marbles. If Patrick gave Juliana 20 marbles, Juliana would have 3 times as many marbles as Patrick. Find the number of marbles that each of them had.

10. James is 8 years old. Last year, his father was four times as old as he was. In how many years’ will their combined age be 51?

11. A bag costs $24.50. the total cost of 2 bags and a wallet is $85. What is the total cost of 3 bags and 3 wallets?

12. Aaron bought 2 similar books and 3 similar rulers for $40.30. Sharon bought 3 such books and 5 such rulers for $61. What was the total cost of a book and a ruler?

Sunday, December 16, 2007

P6 Comprehension

Abraham Lincoln

Abraham Lincoln was one of the greatest American Presidents. He was born in 1809 in the American State of Kentucky. His parents were poor and illiterate farmers. Although Abraham grew up with little education – his entire school attendance was less than a year – he taught himself to read, write and do simple sums.

When Abraham was nine years old, his mother died. His father remarried the following year. The new stepmother was kind and loving. As a result of her encouragement, Abraham developed a love for reading.

When Abraham grew up, he worked in various jobs as a storekeeper, postmaster and surveyor. He also began to study law, qualifying as a lawyer when he was about 25 year old. Abraham was a distinguished and successful lawyer, known for shrewdness and common sense. He was also very fair and honest.

Later, Abraham took an interest in politics. He became President of the United States of America in 1861. During that time, Negroes were slaves in America. Abraham hated slavery as he felt very strongly that everyone has a right to freedom. He worked very hard to abolish slavery. In spite of great opposition and problems, Abraham persevered in his efforts until finally, slavery was abolished.

One evening in 1865, Abraham went to a theatre in Washington C.C. with his wife, Mary. A man called John Booth shot him with a pistol. Abraham died the next morning.

At his funeral procession, thousands of men and women lined the streets to bid farewell to their beloved President whom they knew as courageous, merciful and wise. Even today, many remember Abraham as the President who eradicated the curse of slavery in America.


Answer the following questions in complete sentences.

1.Where was Abraham’s birthplace?
2. What did his parents do for a living?
3. What did his Abraham do for a living initially?
4. Name the qualities that Abraham possessed as a lawyer.
5. Who were the slaves in America?
6. Why did Abraham work hard to abolish slavery?
7. Was it easy for him to achieve this task?
8. How did Abraham die?
9. What is Abraham best remembered for today?
How old was Abraham when he died?

State if the following sentences are “True” or “False”.

1. Abraham taught himself to read and write.
2. Thanks to his stepmother, Abraham began to read widely.
3. In the 19th Century, Negroes and whites alike were slaves.
4. From a successful lawyer, Abraham became a politician.
5. Abraham was well loved as a President but he also had his enemies.

Wednesday, December 12, 2007

P6 Problem Sums Dec '07

P6 Problem Sums (Dec’07)

1 Tammy and Sally shared some money in the ratio 4:3. If Tammy gave $150 to Sally, they would have the same amount of money. How much money did they have altogether?

2 The ratio of the number of teddy bears Mei Mei had to that of the number Jane had was 3:7. Jane had 24 more teddy bears than Mei Mei. Jane gave some teddy bears to Mei Mei and the ratio of Mei Mei’s teddy bears to Jane’s teddy bears became 5:7. How many teddy bears did Jane give to Mei Mei?

3 Last year, the ratio of the number of boys to the number of girls in the Speech and Drama Club was 1:2. This year, 170 members joined the club. There are now 5 times as many boys and 4 times as many girls as last year. How many members were there in the Speech and Drama Club last year?

4 Five friends met at a reunion dinner. Each friend hugged each of the other friends just once. How many hugs were exchanged in all?

5 There were 78 three-legged and four-legged stools in Carpenter Calvin’s storeroom. There were 259 legs in all. Find the number of three-legged stools and four-legged stools.

6 There are 250 bicycles and cars in the car park. There are a total of 936 wheels. How many cars and how many bicycles are there in the car park?

7 Mrs Li sold 18 watermelons and 26 honeydews. She collected $160 from the sale. The selling price of a honeydew is one-third that of the selling price of a watermelon. How much did Mrs Li sell for each honeydew and for each watermelon?

8 Bob and Carl have some sweets each. If Bob eats 5 sweets each day and Carl eats 10 sweets each day, Bob will have 46 sweets left when Carl finishes all of his. If Bob eats 10 sweets each day and Carl eats 5 sweets each day, Bob will have only 1 sweet left when Carl finishes all his sweets. How many sweets does each boy have?

9 Ming and Ling have some Mathematics problems to solve. If Ming can solve 6 questions each hour and Ling can solve only 3 each hour, Ling has 21 questions left when Ming completes his. If Ming can solve 4 questions each hour and Ling can solve 8 questions each hour, Ling has 3 questions left when Ming solves all his problems. How many Mathematics problems does each of them need to solve?

10 Sally and Sandy sell toys. If Sally sells 30 toys each week and Sandy sells 90 toys each week, Sally will have 237 toys left unsold when Sandy has sold all her toys. If Sandy sells only 15 toys each week and Sally still sells 30 toys each week, Sally will have 87 toys left unsold when Sandy has sold all of hers. How many toys does each of them have?