Dear Pupils from my class
I hope you have done your best in your EL papers today.
Keep up with the momentum for the remaining papers!
This Saturday's class is on from 0800 to 0930. Consent forms will be given to you tomorrow morning before 0715. Please get your parents to sign and return the forms to me on Friday.
Cheers
Mdm Toh
Wednesday, October 7, 2009
Maths Problems 7 October 09 (updated)
1. In May, 40% of the people who visited a park were children and the rest were adults.
75% of the adults were women.
In June, the number of children who visited the park increased by 1/5 and there were 336 more children than adults.
The number of adults who visited the park in June remained the same as that in May but only of the adults were women.
(a) What was the ratio of the number of children to the number of men to the number of women who visited the park in May ? (1)
(b) How many people visited the park in June ? (4)
2. At 7am, a car started travelling from Town A towards Town B at an average speed of 64km/h. At 10am, a van started travelling from Town A towards Town B at an average speed of 56km/h. By then, the car had already covered 2/5 of the entire journey.
(a) What was the distance between Town A and Town B ? (2)
(b) How far from Town A had the van travelled when the car reached Town B ? (2)
3. Ali, Ben and Charles shared the cost of a present.
The ratio of the amount paid by Ali to the total amount paid by Ben and Charles was 2 : 3
Ben’s share was 20% of the total amount paid by Ali and Charles.
Given that Charles paid $84 more than Ben, how much did the present cost? (4)
4. Tom and Jerry have some stamps. If Tom gives 160 stamps to Jerry, the ratio of the number of stamps he has to the number of stamps Jerry has is 3:2. If he gives 40 stamps to Jerry, he will have 4 times as many stamps as Jerry. How many stamps does Tom have? (3)
5. John had 600 stamps in his collection of which 20% were from Malaysia.
How many Malaysian stamps must his brother give him to increase the percentage of John’s Malaysian stamps to 36%? (3)
6. A box contained some twenty-cent and ten-cent coins in the ratio 2 : 3.
When 10 twenty-cent coins were added and 5 ten-cent coins were
removed, the ratio became 6 : 7 .
Find the sum of the money in the box at first. (3)
75% of the adults were women.
In June, the number of children who visited the park increased by 1/5 and there were 336 more children than adults.
The number of adults who visited the park in June remained the same as that in May but only of the adults were women.
(a) What was the ratio of the number of children to the number of men to the number of women who visited the park in May ? (1)
(b) How many people visited the park in June ? (4)
2. At 7am, a car started travelling from Town A towards Town B at an average speed of 64km/h. At 10am, a van started travelling from Town A towards Town B at an average speed of 56km/h. By then, the car had already covered 2/5 of the entire journey.
(a) What was the distance between Town A and Town B ? (2)
(b) How far from Town A had the van travelled when the car reached Town B ? (2)
3. Ali, Ben and Charles shared the cost of a present.
The ratio of the amount paid by Ali to the total amount paid by Ben and Charles was 2 : 3
Ben’s share was 20% of the total amount paid by Ali and Charles.
Given that Charles paid $84 more than Ben, how much did the present cost? (4)
4. Tom and Jerry have some stamps. If Tom gives 160 stamps to Jerry, the ratio of the number of stamps he has to the number of stamps Jerry has is 3:2. If he gives 40 stamps to Jerry, he will have 4 times as many stamps as Jerry. How many stamps does Tom have? (3)
5. John had 600 stamps in his collection of which 20% were from Malaysia.
How many Malaysian stamps must his brother give him to increase the percentage of John’s Malaysian stamps to 36%? (3)
6. A box contained some twenty-cent and ten-cent coins in the ratio 2 : 3.
When 10 twenty-cent coins were added and 5 ten-cent coins were
removed, the ratio became 6 : 7 .
Find the sum of the money in the box at first. (3)
Monday, October 5, 2009
Maths Problems 5 October 09
1. At 9.30 a.m., Train A which was 200 m long, pulled out of Nanas Station and travelled towards Dadas Station at a uniform speed of 80 km/h. Half an hour later, Train B which was 150 m long, left Dadas Station and travelled towards Nanas Station at an uniform speed of 90 km/h.
(a) How far has Train A travelled when Train B left Dadas Station? (1m)
(b) The two trains met each other in a tunnel. Both trains took 15 minutes to be completely out of the tunnel. Calculate the length of the tunnel. (4m)
2. There were some sweets in Boxes X, Y and Z.
Box X contained 20% of the total number of sweets in Boxes X, Y and Z.
The ratio of the number of sweets in Box Y to the total number of sweets in Boxes X and Z is
2 : 1.
If there are 24 more sweets in Box Y than Box Z, find the total number of sweets in Boxes X, Y and Z. (5m)
3. John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62.
(a) How many times of the new number is the original number? (1m)
(b) What is the sum of the 2 numbers? (3m)
4. Mrs Kee baked some cookies and packed all the cookies in 12 small boxes and 5 big boxes.
There were equal number of cookies in each small box and equal number of cookies in each big box.
Each big box contained 14 more cookies than each small box. 18/29 of the cookies baked were packed in small boxes.
How many cookies were there in each small box? (4m)
5. Tricia has some pink, red and yellow ribbons.
1/3 of them are pink ribbons.
Four fewer than 1/3 of the remainder are red ribbons.
The remaining 24 are yellow ribbons.
How many pink ribbons does Tricia have? (3m)
6. Alice, Beth and Claire had 600 stamps altogether. After Beth had given 30 stamps to Alice, Beth had twice as many stamps as Claire and Alice had 20 stamps more than Claire. How many stamps did Claire have? (3m)
7. Last year the total age of Mr Tan and his wife is p years old.
His wife is 1 year younger than him.
What is his wife’s age 2 years from now? Express your answer in terms of p. (3m)
8. Tracy counted the number of 10-¢ coins, 20-¢ coins and 50-¢ coins in her piggy bank. The number of 10-¢ coins was 24 more than the number of 50-¢ coins. After spending 3/5 of the 10-¢ coins, 1/4 of the 20-¢ coins and 18 50-¢ coins, she had an equal number of 10-¢ and 20-¢ coins. The number of 50-¢ coins now formed 40% of the remaining number of coins
(a) How many 10-¢ coins did Tracy have at first? (3m)
(b) How much did she spend in all? (2m)
9. Ahmad and Halim together took 5 days to paint their house. If Ahmad and Halim work together for 2 days, followed by Ahmad working alone for 8 days, Halim will take 1 more day to complete the remaining work. How long will Ahmad take to paint the house all by himself? (5m)
10. Mr. Tan had 130 durians and mangosteens. After he sold 2/3 of the durians and 2/5 of the mangosteens, he had 36 more mangosteens than durians left. How many fruits had he left in all? (4m)
(a) How far has Train A travelled when Train B left Dadas Station? (1m)
(b) The two trains met each other in a tunnel. Both trains took 15 minutes to be completely out of the tunnel. Calculate the length of the tunnel. (4m)
2. There were some sweets in Boxes X, Y and Z.
Box X contained 20% of the total number of sweets in Boxes X, Y and Z.
The ratio of the number of sweets in Box Y to the total number of sweets in Boxes X and Z is
2 : 1.
If there are 24 more sweets in Box Y than Box Z, find the total number of sweets in Boxes X, Y and Z. (5m)
3. John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62.
(a) How many times of the new number is the original number? (1m)
(b) What is the sum of the 2 numbers? (3m)
4. Mrs Kee baked some cookies and packed all the cookies in 12 small boxes and 5 big boxes.
There were equal number of cookies in each small box and equal number of cookies in each big box.
Each big box contained 14 more cookies than each small box. 18/29 of the cookies baked were packed in small boxes.
How many cookies were there in each small box? (4m)
5. Tricia has some pink, red and yellow ribbons.
1/3 of them are pink ribbons.
Four fewer than 1/3 of the remainder are red ribbons.
The remaining 24 are yellow ribbons.
How many pink ribbons does Tricia have? (3m)
6. Alice, Beth and Claire had 600 stamps altogether. After Beth had given 30 stamps to Alice, Beth had twice as many stamps as Claire and Alice had 20 stamps more than Claire. How many stamps did Claire have? (3m)
7. Last year the total age of Mr Tan and his wife is p years old.
His wife is 1 year younger than him.
What is his wife’s age 2 years from now? Express your answer in terms of p. (3m)
8. Tracy counted the number of 10-¢ coins, 20-¢ coins and 50-¢ coins in her piggy bank. The number of 10-¢ coins was 24 more than the number of 50-¢ coins. After spending 3/5 of the 10-¢ coins, 1/4 of the 20-¢ coins and 18 50-¢ coins, she had an equal number of 10-¢ and 20-¢ coins. The number of 50-¢ coins now formed 40% of the remaining number of coins
(a) How many 10-¢ coins did Tracy have at first? (3m)
(b) How much did she spend in all? (2m)
9. Ahmad and Halim together took 5 days to paint their house. If Ahmad and Halim work together for 2 days, followed by Ahmad working alone for 8 days, Halim will take 1 more day to complete the remaining work. How long will Ahmad take to paint the house all by himself? (5m)
10. Mr. Tan had 130 durians and mangosteens. After he sold 2/3 of the durians and 2/5 of the mangosteens, he had 36 more mangosteens than durians left. How many fruits had he left in all? (4m)
CW by Jing Jie (unedited)
“Hey! There is something I need to tell you about.” My closest friend Jay whispered to me as he sat beside me in the canteen.
“What?” I asked.
Jay said, “You know about the abandoned house beside our school, right? Well… today, my classmate Jackson said he saw a shadowy figure looking at him from an open window in that house.”
I nearly choked on the minced meat noodles I was eating.
“Please do not tell me your crazy idea is to….go into that house?” I stammered, pushing away my half eaten bowl of noodles.
“Well, I was going to try…but now that you know, how about this? You come along with me into the house!” He exclaimed, a foolish grin on his face. I was dumbfounded, normally kids our age would be horrified the moment they heard about the abandoned house, but Jay was as cool as a cucumber.
“Come on, it will be fun!” He coaxed. In the end, I agreed to come along with him, not wanting to be called a coward.
The wind howled and the dead leaves rustled as we walked to the abandoned house after school. Standing at the gates towering over us, I smiled weakly “ Are you sure you want to enter, no second thoughts?”
Jay scoffed, slowly pushing the gates open. Creaking, the gates shifted, groaning with each inch it moved. The terrible sound sent shivers down my spine. Stealthily, we made our way to the front gates.
Jay took a deep breath and flung the doors open, expecting to see someone, or something, only to find an empty corridor, with piles of dust everywhere. “Hello? Is…is someone there?” Jay stammered.
There was no reply, all we heard was the soft howling of the wind in the absolute silence of the house.
After exploring the first floor, we groped our way to the second floor, fascination and fear filled our hearts. We then split up to search the rooms for any sign of the figure Jackson saw.
Slowly, I made my way to the room at the very end. To my surprise, the room was spotless, with not a speck of dust present. “Strange…it should have been as dusty as others?” I muttered.
Then, a small gleam near the window caught my attention. Walking over, I saw a small stone, one that looked like the gleaming stones on Jay’s watch.
I spun around, to see Jay, grinning at me, my eyes transfixed on Jay’s watch in horror.
One of the stones was missing. Then it hit me. I stated at him and stuttered, “you…you are not…not J…. Jay.”
Jay’s grin turned into a silent smile. His smile was the only thing I saw, and the last. As I lost consciousness, and as darkness claimed me, I could swear I thought Jay was changing his form.
“What?” I asked.
Jay said, “You know about the abandoned house beside our school, right? Well… today, my classmate Jackson said he saw a shadowy figure looking at him from an open window in that house.”
I nearly choked on the minced meat noodles I was eating.
“Please do not tell me your crazy idea is to….go into that house?” I stammered, pushing away my half eaten bowl of noodles.
“Well, I was going to try…but now that you know, how about this? You come along with me into the house!” He exclaimed, a foolish grin on his face. I was dumbfounded, normally kids our age would be horrified the moment they heard about the abandoned house, but Jay was as cool as a cucumber.
“Come on, it will be fun!” He coaxed. In the end, I agreed to come along with him, not wanting to be called a coward.
The wind howled and the dead leaves rustled as we walked to the abandoned house after school. Standing at the gates towering over us, I smiled weakly “ Are you sure you want to enter, no second thoughts?”
Jay scoffed, slowly pushing the gates open. Creaking, the gates shifted, groaning with each inch it moved. The terrible sound sent shivers down my spine. Stealthily, we made our way to the front gates.
Jay took a deep breath and flung the doors open, expecting to see someone, or something, only to find an empty corridor, with piles of dust everywhere. “Hello? Is…is someone there?” Jay stammered.
There was no reply, all we heard was the soft howling of the wind in the absolute silence of the house.
After exploring the first floor, we groped our way to the second floor, fascination and fear filled our hearts. We then split up to search the rooms for any sign of the figure Jackson saw.
Slowly, I made my way to the room at the very end. To my surprise, the room was spotless, with not a speck of dust present. “Strange…it should have been as dusty as others?” I muttered.
Then, a small gleam near the window caught my attention. Walking over, I saw a small stone, one that looked like the gleaming stones on Jay’s watch.
I spun around, to see Jay, grinning at me, my eyes transfixed on Jay’s watch in horror.
One of the stones was missing. Then it hit me. I stated at him and stuttered, “you…you are not…not J…. Jay.”
Jay’s grin turned into a silent smile. His smile was the only thing I saw, and the last. As I lost consciousness, and as darkness claimed me, I could swear I thought Jay was changing his form.
Friday, October 2, 2009
CW by Jiayi (unedited)
One day, the canteen was filled with the usual crowd from stall to stall. I was eating at the school canteen. Out of the corner of my eye, I saw May, my best friend, rushing towards me.
"Hey, June, I want to talk to you. It's urgent," May sat down beside me and said hurriedly. I gulped down my soup and asked, "Ok. What's the problem? "
May began her story, "Just after Mrs. Lim released us for recess, I went to the washroom and to my disbelief, I saw Linda smoking there. I tried to stop her and told her that smoking is bad for her health but she told me to stay away from her affairs and warned me not to tell anyone or else I'll pay for it. I've been worried about her. She hasn't been looking the best of health these few days."
Thinking back, Linda looked worn out and had been coughing non-stop for days. Sure enough, after recess, Linda walked past us and growled to May saying, "You better keep quiet!" May shot me a 'you-see' look and i finally believed May as Linda breath reeked of cigarette smells "Shouldn't we do anything to help her?" I asked May as soon as we sat down on our seats.
"Maybe we could confront her after school and advised her to stop smoking," May suggested. Thinking that it was the only choice we had, I agreed. Throughout the whole day, May and I were very unsettled, fearing that Linda might not listen to us. After what seemed like an eternity, the school bell finally rang. We bought our time by packing our bags slowly, waiting for Linda, as Mrs. Lim and the others went out. "Linda may be staying back to smoke again!"I whispered to May.
"Hey Linda wait!' May stopped Linda as she walked past her.
"What?!" Linda demanded,Linda looked at me and said,"You must have told her haven't you?"
"Linda,please! You've got to stop smoking! please!" I pleaded.
"I don't need your concerns!" Linda snapped at me.
"Linda please! What happened to you? Please stop all this madness! You could tell us! We will be there for you! We would help you in anyway we can!" I tried to talk some sense into her.
"I have no choice! All of you simply ignored me! I tried to ask you for help but you ignored me too! I have no choice but to resort to smoking to calm my nerves!" Linda finally spilled everything out .
A pang of guilt struck me. I thought to myself, feeling very sorry "What a failure friend I am!"
"Linda we are so sorry! We never know that we have been ignoring you!" May said to Linda. Linda smiled through her brimming tears showing that she forgave us. Because of this incident our bond with Linda became as strong as steel.
"Hey, June, I want to talk to you. It's urgent," May sat down beside me and said hurriedly. I gulped down my soup and asked, "Ok. What's the problem? "
May began her story, "Just after Mrs. Lim released us for recess, I went to the washroom and to my disbelief, I saw Linda smoking there. I tried to stop her and told her that smoking is bad for her health but she told me to stay away from her affairs and warned me not to tell anyone or else I'll pay for it. I've been worried about her. She hasn't been looking the best of health these few days."
Thinking back, Linda looked worn out and had been coughing non-stop for days. Sure enough, after recess, Linda walked past us and growled to May saying, "You better keep quiet!" May shot me a 'you-see' look and i finally believed May as Linda breath reeked of cigarette smells "Shouldn't we do anything to help her?" I asked May as soon as we sat down on our seats.
"Maybe we could confront her after school and advised her to stop smoking," May suggested. Thinking that it was the only choice we had, I agreed. Throughout the whole day, May and I were very unsettled, fearing that Linda might not listen to us. After what seemed like an eternity, the school bell finally rang. We bought our time by packing our bags slowly, waiting for Linda, as Mrs. Lim and the others went out. "Linda may be staying back to smoke again!"I whispered to May.
"Hey Linda wait!' May stopped Linda as she walked past her.
"What?!" Linda demanded,Linda looked at me and said,"You must have told her haven't you?"
"Linda,please! You've got to stop smoking! please!" I pleaded.
"I don't need your concerns!" Linda snapped at me.
"Linda please! What happened to you? Please stop all this madness! You could tell us! We will be there for you! We would help you in anyway we can!" I tried to talk some sense into her.
"I have no choice! All of you simply ignored me! I tried to ask you for help but you ignored me too! I have no choice but to resort to smoking to calm my nerves!" Linda finally spilled everything out .
A pang of guilt struck me. I thought to myself, feeling very sorry "What a failure friend I am!"
"Linda we are so sorry! We never know that we have been ignoring you!" May said to Linda. Linda smiled through her brimming tears showing that she forgave us. Because of this incident our bond with Linda became as strong as steel.
CW: Nadiah's Writing (unedited)
While I was munching on my biscuits during my break-time, I pondered about the behaviour of my best friend, Jamie. She was usually chirpy and enthusiastic but strangely today, she was very quiet and she looked as if she was guilty of doing something. She did not even want to sit with me during break-time. How weird!
All of a sudden, I felt a tap on my shoulder. I nearly choked on my biscuits. I swiveled my neck only to see a panic-stricken Jamie. At that moment my mind was clouded with many questions.
“I need to talk to you now,” Jamie whispered, there was a sense of urgency in her tone.
“Sure,” I replied with a quick nod.
Jamie pulled my hand and took me to the library, where not many students were. I was really puzzled. Why must Jamie talk to me in the library? Why not in the canteen?
“Bella, promise me you won’t tell anyone about this,” Jamie whispered again into my ears, sounding very anxious.
I nodded and gave Jamie a you-can-trust-me look.
“Bella, I…actually…stole…Rayner’s handphone…” Jamie stammered, her lips quivered a little.
I was too shocked that my mouth just flung open, but no words came out of it. My best friend just did something terribly wrong! What was I supposed to do?
“Are you sure you stole his handphone?” I asked again, still stunned by Jamie’s confession.
Jamie just nodded her head gently.
I could not believe my ears! I just could not come to terms that Jamie was a thief. Jamie, my one and only best friend, was a thief.
“Please help me! I know I’m in the wrong. I feel so guilty now…” Jamie pleaded with me, letting her tears flow down her cheeks.
I was in a dilemma. If I were to inform my teacher about this, Jamie would certainly be dealt with a severe punishment. But if I just ignored this matter, Jamie might not learn her lesson.
“Where is the handphone now,” I asked Jamie softly.
“In my schoolbag,” replied Jamie as she wiped her tears away.
I assured her everything would turn out alright and soon she stopped sobbing. Then, both of us ran back to class and we went straight to Jamie’s bag.
Jamie took out the shiny, blue, latest Nokia handphone out of her bag. I remembered that Jamie longed to have that handphone. Maybe, that was the reason Jamie stole it from Rayner.
“But, Bella, I don’t want to confess. I’m scared,” cried Jamie, trembling in fear.
But, confession was the only solution I could think of. I really pitied Jamie and I did not want to betray her. But what could I do?
Suddenly, an idea flashed through my vexed mind!
“I have a brilliant idea! Why don’t we put Rayner’s handphone back to his bag? In that way, after recess, he would find out that his handphone was actually in his bag all along!” I explained my plan excitedly to Jamie who was all ears.
After explaining, Jamie instantly got to her feet, her face brightened up. I was delighted to see Jamie back to her normal self.
When I was about to put Rayner’s handphone back into his bag, I heard a loud, creaking noise. I turned around only to see Jamie and no one else.
“What’s wrong?” Jamie asked completely puzzled.
“Wait here,” I instructed and I slowly walked to the back of the classroom, making at least no noise.
When I turned to my right, I saw Rayner squatting down behind the back door of the classroom! I nearly jumped out of my skin!
“Aha! I heard everything! I know what’s going on! I know Jamie is the one who stole my handphone! I’m going to tell Mrs. Jennifer now!” shouted Rayner at the top of his voice and glared at us.
Then, he sped off, leaving Jamie and me all alone in the classroom. Jamie broke into tears. I tried to console her but to no avail. I had assured Jamie everything would turn out alright, but it did not. But, whatever it is, I would always stand by you, Jamie. Always.
All of a sudden, I felt a tap on my shoulder. I nearly choked on my biscuits. I swiveled my neck only to see a panic-stricken Jamie. At that moment my mind was clouded with many questions.
“I need to talk to you now,” Jamie whispered, there was a sense of urgency in her tone.
“Sure,” I replied with a quick nod.
Jamie pulled my hand and took me to the library, where not many students were. I was really puzzled. Why must Jamie talk to me in the library? Why not in the canteen?
“Bella, promise me you won’t tell anyone about this,” Jamie whispered again into my ears, sounding very anxious.
I nodded and gave Jamie a you-can-trust-me look.
“Bella, I…actually…stole…Rayner’s handphone…” Jamie stammered, her lips quivered a little.
I was too shocked that my mouth just flung open, but no words came out of it. My best friend just did something terribly wrong! What was I supposed to do?
“Are you sure you stole his handphone?” I asked again, still stunned by Jamie’s confession.
Jamie just nodded her head gently.
I could not believe my ears! I just could not come to terms that Jamie was a thief. Jamie, my one and only best friend, was a thief.
“Please help me! I know I’m in the wrong. I feel so guilty now…” Jamie pleaded with me, letting her tears flow down her cheeks.
I was in a dilemma. If I were to inform my teacher about this, Jamie would certainly be dealt with a severe punishment. But if I just ignored this matter, Jamie might not learn her lesson.
“Where is the handphone now,” I asked Jamie softly.
“In my schoolbag,” replied Jamie as she wiped her tears away.
I assured her everything would turn out alright and soon she stopped sobbing. Then, both of us ran back to class and we went straight to Jamie’s bag.
Jamie took out the shiny, blue, latest Nokia handphone out of her bag. I remembered that Jamie longed to have that handphone. Maybe, that was the reason Jamie stole it from Rayner.
“But, Bella, I don’t want to confess. I’m scared,” cried Jamie, trembling in fear.
But, confession was the only solution I could think of. I really pitied Jamie and I did not want to betray her. But what could I do?
Suddenly, an idea flashed through my vexed mind!
“I have a brilliant idea! Why don’t we put Rayner’s handphone back to his bag? In that way, after recess, he would find out that his handphone was actually in his bag all along!” I explained my plan excitedly to Jamie who was all ears.
After explaining, Jamie instantly got to her feet, her face brightened up. I was delighted to see Jamie back to her normal self.
When I was about to put Rayner’s handphone back into his bag, I heard a loud, creaking noise. I turned around only to see Jamie and no one else.
“What’s wrong?” Jamie asked completely puzzled.
“Wait here,” I instructed and I slowly walked to the back of the classroom, making at least no noise.
When I turned to my right, I saw Rayner squatting down behind the back door of the classroom! I nearly jumped out of my skin!
“Aha! I heard everything! I know what’s going on! I know Jamie is the one who stole my handphone! I’m going to tell Mrs. Jennifer now!” shouted Rayner at the top of his voice and glared at us.
Then, he sped off, leaving Jamie and me all alone in the classroom. Jamie broke into tears. I tried to console her but to no avail. I had assured Jamie everything would turn out alright, but it did not. But, whatever it is, I would always stand by you, Jamie. Always.
Maths Problems 3 Oct / 4 Oct 09
1. A rectangular tank with dimensions 130 cm by 100 cm by 210 cm was
30% filled with water. 8 identical pails of water, completely filled,
were scooped out from it and this resulted in a drop of the water level
to 38 cm. The remaining amount of water was transferred into a
cubical tank containing 39b of water. The water was then drained
out through a tap at the bottom of the cubical tank at 13b per minute.
(a) What is the capacity of each pail? (2m)
(b) How long did it take to drain the water from the cubical tank completely? (3m)
2. At Carpark P, the number of lorries to that of vans was in the ratio 3 : 7.
At Carpark Q, the number of lorries to that of vans was in the ratio 8 : 9.
When 40% more lorries from an industrial park entered Carpark P, and
20% of the vans at Carpark Q moved to Carpark P, there were 76 fewer
lorries at Carpark P than at Carpark Q. How many vehicles were there
altogether at the two carparks finally? (5m)
3. A bullet train took 5 hours to travel from Patient Town to Honest Town while
an electric train took 4 hours longer to travel from Honest Town to Patient
Town. Both trains set off at the same time and moved towards each other.
Two hours later, they were 255 km apart. What was the speed of the electric
train? (4m)
4. Korey's allowance to Skyler's allowance was in the ratio 10 : 11. Both of
them spent an equal amount. Then Korey’s remaining allowance was 7/9
of Skyler's remaining allowance. What percentage of Skyler's allowance
did she spend? Leave your answer correct to 2 decimal places. (4m)
5. Mrs Ker had a bag of brown sugar. After she used some of the brown sugar,
she had 2/3 of the brown sugar left. Then she distributed 1/4 of what she
had left equally between her neighbours, Mrs Dee and Mrs Bheem. Finally,
Mrs Ker had 437.5 g of brown sugar more than Mrs Bheem. How much
brown sugar did Mrs Ker use? Leave your answer in g. (4m)
6. Shop A sold a party dress for $600. This was 20% more than the price of a similar dress in Shop B. During a sale, both shops offered the same percentage discount on the dress. Mrs Goh bought the dress from Shop B and found that she had paid $70 less than the discounted price in Shop A.
a) Find the price of the dress in Shop B before the sale. (2m)
b) What was the percentage discount given during the sale? (3m)
7. A fruit seller had some oranges, pears and durians. After selling some of them, there were 6 pears for every 5 oranges left and 7 oranges for every 3 durians left. He sold 168 oranges. He had 456 pears and oranges left. The number of pears sold was the same as the number of durians sold.
a) How many oranges had he at first? (2m)
b) If the number of pears was twice the number of durians at first, what was the
total number of pears and durians sold? (3m)
8. Tom and Gary ran in a race. When Gary had completed the run in 20 minutes, Tom had only run 5/8 of the distance.
Tom’s average speed for the race was 75 m/min less than Gary’s.
(a) Find the distance of the race. (2m)
(b) What was Tom’s speed in m/min? (3m)
9. After spending part of his salary on transport and 4/7 of the remainder on food, Ali saved $840.
a) If his salary was $2100, what fraction of his salary did he spend on transport? (2m)
b) If he had the same salary and he had to spend the same amount on transport, what fraction of his salary could he spend on food to save 3/5 of his salary? (2m)
10. Minghua and his sister had 25 stickers altogether at first. After their mother had given them some more stickers, Minghua had 5 times the number of stickers he had before and his sister had 3 times the number of stickers she had before. They had a total of 95 stickers in the end. How many stickers did their mother give each of them?
Ans: Minghua:________________(2m)
Sister:________________(2m)
30% filled with water. 8 identical pails of water, completely filled,
were scooped out from it and this resulted in a drop of the water level
to 38 cm. The remaining amount of water was transferred into a
cubical tank containing 39b of water. The water was then drained
out through a tap at the bottom of the cubical tank at 13b per minute.
(a) What is the capacity of each pail? (2m)
(b) How long did it take to drain the water from the cubical tank completely? (3m)
2. At Carpark P, the number of lorries to that of vans was in the ratio 3 : 7.
At Carpark Q, the number of lorries to that of vans was in the ratio 8 : 9.
When 40% more lorries from an industrial park entered Carpark P, and
20% of the vans at Carpark Q moved to Carpark P, there were 76 fewer
lorries at Carpark P than at Carpark Q. How many vehicles were there
altogether at the two carparks finally? (5m)
3. A bullet train took 5 hours to travel from Patient Town to Honest Town while
an electric train took 4 hours longer to travel from Honest Town to Patient
Town. Both trains set off at the same time and moved towards each other.
Two hours later, they were 255 km apart. What was the speed of the electric
train? (4m)
4. Korey's allowance to Skyler's allowance was in the ratio 10 : 11. Both of
them spent an equal amount. Then Korey’s remaining allowance was 7/9
of Skyler's remaining allowance. What percentage of Skyler's allowance
did she spend? Leave your answer correct to 2 decimal places. (4m)
5. Mrs Ker had a bag of brown sugar. After she used some of the brown sugar,
she had 2/3 of the brown sugar left. Then she distributed 1/4 of what she
had left equally between her neighbours, Mrs Dee and Mrs Bheem. Finally,
Mrs Ker had 437.5 g of brown sugar more than Mrs Bheem. How much
brown sugar did Mrs Ker use? Leave your answer in g. (4m)
6. Shop A sold a party dress for $600. This was 20% more than the price of a similar dress in Shop B. During a sale, both shops offered the same percentage discount on the dress. Mrs Goh bought the dress from Shop B and found that she had paid $70 less than the discounted price in Shop A.
a) Find the price of the dress in Shop B before the sale. (2m)
b) What was the percentage discount given during the sale? (3m)
7. A fruit seller had some oranges, pears and durians. After selling some of them, there were 6 pears for every 5 oranges left and 7 oranges for every 3 durians left. He sold 168 oranges. He had 456 pears and oranges left. The number of pears sold was the same as the number of durians sold.
a) How many oranges had he at first? (2m)
b) If the number of pears was twice the number of durians at first, what was the
total number of pears and durians sold? (3m)
8. Tom and Gary ran in a race. When Gary had completed the run in 20 minutes, Tom had only run 5/8 of the distance.
Tom’s average speed for the race was 75 m/min less than Gary’s.
(a) Find the distance of the race. (2m)
(b) What was Tom’s speed in m/min? (3m)
9. After spending part of his salary on transport and 4/7 of the remainder on food, Ali saved $840.
a) If his salary was $2100, what fraction of his salary did he spend on transport? (2m)
b) If he had the same salary and he had to spend the same amount on transport, what fraction of his salary could he spend on food to save 3/5 of his salary? (2m)
10. Minghua and his sister had 25 stickers altogether at first. After their mother had given them some more stickers, Minghua had 5 times the number of stickers he had before and his sister had 3 times the number of stickers she had before. They had a total of 95 stickers in the end. How many stickers did their mother give each of them?
Ans: Minghua:________________(2m)
Sister:________________(2m)
Nominating Sulin Wong for the Junior Kindness Award
I am writing in with delight to nominate Sulin Wong, a pupil of Punggol School for the Junior Kindness Award (1m).
Last Monday, 7 July 2008, which was Youth Day, a school holiday (1m), I was on Bus 851 (1m) with my mother. As it was at the peak hour at 5.30 pm (1m), the bus was very crowded (1m). At the bus-stop opposite Ganghou Mall, an elderly woman boarded the bus bound for the Punggol Interchange. On seeing the elderly's plight in getting a seat, my mother and I witnessed before us a Samaritan at work. Sulin Wong, who was also on board, readily rose from her seat and offered it to the old lady (1m).
Not only did her act of kindness touch the heart of the old lady who was generous with her praises, it also taught all who were at the scene how Singapore can be a more pleasant and gracious society through simple but selfless gestures.
Sulin Wong's act is exemplary and her kindness definitely deserves to be recognised.
Harry Tan
Passenger of Bus 851
I am writing in with delight to nominate Sulin Wong, a pupil of Punggol School for the Junior Kindness Award (1m).
Last Monday, 7 July 2008, which was Youth Day, a school holiday (1m), I was on Bus 851 (1m) with my mother. As it was at the peak hour at 5.30 pm (1m), the bus was very crowded (1m). At the bus-stop opposite Ganghou Mall, an elderly woman boarded the bus bound for the Punggol Interchange. On seeing the elderly's plight in getting a seat, my mother and I witnessed before us a Samaritan at work. Sulin Wong, who was also on board, readily rose from her seat and offered it to the old lady (1m).
Not only did her act of kindness touch the heart of the old lady who was generous with her praises, it also taught all who were at the scene how Singapore can be a more pleasant and gracious society through simple but selfless gestures.
Sulin Wong's act is exemplary and her kindness definitely deserves to be recognised.
Harry Tan
Passenger of Bus 851
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