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?

2 comments:

  1. Question 1 :

    100 % - 16 % = 84 %

    Bicycle + $330 = 84%
    20/ 100 x 100% = 20 %
    Bicycle + $430 = 104 %
    20% --> $100
    2 % --> $10
    16 % --> $80 #

    Question 2 :
    a) Car --> 60km/h
    Van --> 75 km/h
    1/2h --> Car travel 30km
    75km-60km = 15km
    Every hour, Van is 15km nearer to the car.
    30km/ 15km = 2
    Thus, in two hours, van will catch up with car 2 hours + 30min = 2h 30min #

    b) 6.30pm --2 hour --- 4.30pm
    Van left at 4.30 pm
    Car left at 4 pm #

    Question 8 :
    First man --> 1/4+1 of total
    Second man --> 1/5+1 of total
    Third man --> 3/4+3 of total
    Fourth man --> the rest
    1/5 + 1/6 + 3/7
    = 42/210 + 35/210 + 90/210
    = 167/210
    210/210 - 167/210 = 43/210
    210 units --> $840
    1 unit --> $4
    43 units --> $4x 43 = $172 #

    Hope its correct! :)
    Leong Xue Hao
    1P1 (15)

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  2. Wow!Great effort!Actually just sending the answers would be enough.Not to worry I would post all answers and solutions on another post by the end of the month.Thank you for participating in this quiz ^^

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