Hurry! Answer the questions under - "Challenging" Problems in the comments section as the answers will be out very soon.Though it is not compulsory,these questions are great for problem solving and you may benefit from them.So please,please and please again,please post your answers(without working)in the comments section.The full workings and the solutions would be put up on the 1st of May.Hope to see more comments.
Binny
Thursday, April 23, 2009
Thursday, April 2, 2009
"Challenging" Problems
Ok now here are some questions that you may want to attempt.They will come from a few topics mentioned in this self-study module.Hope you can manage them.The answers would be revealed at a later date.8 questions in all hope you don"t faint.
Q1.After Helga donated 16% of her savings to a charity and spent part of it on a bicycle,he was left with $330.She received an extra 20% of the original amount of money she saved from her mother and had $430 in all.
Find the amount of money Helga donated to the charity.
Q2.A car travelled at an average speed of 60km/h from Town P to Town Q.1 and a half hours later,a van started travelling from Town P to Town Q as well at an average speed of 75km/h.The two vehicles reached their destination at the same time.
A)How long did the car take to travel from P to Q?
B)If both the van and the car arrived at Q at 6:30p.m,at what time did the car start?
Q3.Seng,Gain and Beng shared a sum of money.Seng's share was 40% more than Gain's.Gain's share was 20% less than Beng's.If Seng had $57 more than Beng,find the sum of money Seng must give Beng so that the amount of money received by Gain to Beng is 2:3.
Q4.Andy has $200 more than Billy.Andy gives 60% of his money to Billy.Billy then gives 25% of his money to Andy.In the end,Billy has $200 more than Andy.How much did Andy have at first?
Q5.Mindy and Jennifer bought some light bulbs from a department store.Jennifer bought 2/5 of all the light bulbs.Altogether,they bought 30 more blue light bulbs to red light bulbs.Mindy bought 2/3 of the blue light bulbbs and 1/2 of the red light bulbs.How many light bulbs did Jennifer buy?
Q6.At 9 a.m.,a bus left C and travelled towards D at an average speed of 70km/h.At the same time,a minivan left D to travel to C at an average speed of 55km/h.At 11 am..,the tow vehicles were 35 km apart.If the two vehicles had passed each other at 11 a.m, find the distance between C and D.
Q7.Alan has 3 times as many stickers as Xiaowen and and an additional 6 stickers. Candy has 1/6 of what Alan has and an additional 2 stickers.Xiaowen has 4 stickers more than Candy.
a)How many stickers do they have together?
b)How many stickers must Alan give xiaowen so that they will have the same number of stickers?
Warning!!!:You may find the last question more challenging that you would have expected!Please prepare yourselves!!!
Q8.4 men shared a present that cost $840.The first man paid 1/4 of the total amount paid by the rest.The second man paid 1/5 paid by the rest.The third man paid 3/4 paid by the rest.The fourth man paid the rest.How much did the fourth man pay?
Q1.After Helga donated 16% of her savings to a charity and spent part of it on a bicycle,he was left with $330.She received an extra 20% of the original amount of money she saved from her mother and had $430 in all.
Find the amount of money Helga donated to the charity.
Q2.A car travelled at an average speed of 60km/h from Town P to Town Q.1 and a half hours later,a van started travelling from Town P to Town Q as well at an average speed of 75km/h.The two vehicles reached their destination at the same time.
A)How long did the car take to travel from P to Q?
B)If both the van and the car arrived at Q at 6:30p.m,at what time did the car start?
Q3.Seng,Gain and Beng shared a sum of money.Seng's share was 40% more than Gain's.Gain's share was 20% less than Beng's.If Seng had $57 more than Beng,find the sum of money Seng must give Beng so that the amount of money received by Gain to Beng is 2:3.
Q4.Andy has $200 more than Billy.Andy gives 60% of his money to Billy.Billy then gives 25% of his money to Andy.In the end,Billy has $200 more than Andy.How much did Andy have at first?
Q5.Mindy and Jennifer bought some light bulbs from a department store.Jennifer bought 2/5 of all the light bulbs.Altogether,they bought 30 more blue light bulbs to red light bulbs.Mindy bought 2/3 of the blue light bulbbs and 1/2 of the red light bulbs.How many light bulbs did Jennifer buy?
Q6.At 9 a.m.,a bus left C and travelled towards D at an average speed of 70km/h.At the same time,a minivan left D to travel to C at an average speed of 55km/h.At 11 am..,the tow vehicles were 35 km apart.If the two vehicles had passed each other at 11 a.m, find the distance between C and D.
Q7.Alan has 3 times as many stickers as Xiaowen and and an additional 6 stickers. Candy has 1/6 of what Alan has and an additional 2 stickers.Xiaowen has 4 stickers more than Candy.
a)How many stickers do they have together?
b)How many stickers must Alan give xiaowen so that they will have the same number of stickers?
Warning!!!:You may find the last question more challenging that you would have expected!Please prepare yourselves!!!
Q8.4 men shared a present that cost $840.The first man paid 1/4 of the total amount paid by the rest.The second man paid 1/5 paid by the rest.The third man paid 3/4 paid by the rest.The fourth man paid the rest.How much did the fourth man pay?
Introduction to percentage
In Mathematics, percentage is used to express a number as a fraction over 100. "Per cent" meaning per hundred, the sign used is %. For example forty-seven percent is represent as 47%, which is equal to 47/100 or 0.47.
What is 13% of 196?
Answer: 13% × 196 = (13 / 100) × 196 = 25.48.
The reason for the apparent discrepancy is that the two percent changes (+50% and −50%) are measured relative to different quantities ($200 and $220, respectively), and thus do not "cancel out".
What is 13% of 196?
Answer: 13% × 196 = (13 / 100) × 196 = 25.48.
The reason for the apparent discrepancy is that the two percent changes (+50% and −50%) are measured relative to different quantities ($200 and $220, respectively), and thus do not "cancel out".
Wednesday, April 1, 2009
Direct and Inverse Proportion
Direct proportion is basically like a graph which is going up. For example, the more time you have, the more things you can produce/do. If you have 1 hour to do 1 job, then you can do 2 jobs in 2 hours.
However, inverse proportion is the opposite. It is a graph in which is going down.
For example, 8 girls can sew 8 dresses in 8 hours. How many dresses can 1 girl sew in 1 hour?
If you say 1, it is wrong. 8 girls can sew 8 dresses in 8 hours. Hence, 1 girl can sew 8 dresses in 64 hours. Then, you can see that 1 girl can sew 1/8 dress in 1 hour as she can sew 1 dress in 8 hours.
http://www.articlesforeducators.com/dir/mathematics/cat_and_mouse.asp
However, inverse proportion is the opposite. It is a graph in which is going down.
For example, 8 girls can sew 8 dresses in 8 hours. How many dresses can 1 girl sew in 1 hour?
If you say 1, it is wrong. 8 girls can sew 8 dresses in 8 hours. Hence, 1 girl can sew 8 dresses in 64 hours. Then, you can see that 1 girl can sew 1/8 dress in 1 hour as she can sew 1 dress in 8 hours.
http://www.articlesforeducators.com/dir/mathematics/cat_and_mouse.asp
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