Glen and Ryan had $403 altogether. After Glen used 1/4 of his money and Ryan used 1/3 of his money, Glen has twice as much money as Ryan. How much money did Ryan have at first?
Question posted by Mrs Tan, Parent
Fri, 12th Dec 2008
Thanks for the extra mile for the consultation session. Alden has the following questions to ask:
(a) A bill of $72 was paid with $10, $5 and $1 notes. If 13 notes were used for payments, how many notes of each kind were used?
(b) Vanessa and Bobby had some telephone cards. AfterBobby gave 4/9 of his cards to Vanessa, the ratio of the number of Bobby’s cards to the number of Vanessa’s cards became 10 : 17. What was the ratio of the number of Vanessa’s cards to the number of Bobby’s cards at first?
(c) 12 workers took 10 days to make 800 bowls. How many days 3 workers need to make 40 bowls?
Question posted by Mr Shew, Parent
Thurs, 9th Oct 2008
Please find attached the P6 PSLE Maths question which contains an answer using alegbraic method. How to solve using Heuristic Model?
Ning and Zongwei jogged to and fro repeatedly along a straight path in a park between 2 points, A and B. Ning jogged at a uniform speed of 4m/s and Zongwei jogged at a uniform speed of 6 m/s. They started jogging from opposite directions at the same time as shown below.
They first met on another at point X. The second time they met was at point Y. a) Given that the distance between X and Y is 160 m, find the distance between A and B.
b) If they started jogging at 8 am, how long did they take to meet again for the third time? (Express your answers in min and seconds)
Question posted by Dr E.K. Lua, Parent Tues, 23rd Sept 2008
From the desk of Sunny Tan ... ... click on picture for bigger view
Please advise how to solve the following using UTM:
1. Ryan and Jude have some pencils each. If Ryan give Jude 28 pencils, he will have as many pencils as Jude. If Ryan gives Jude 12 pencils, he will have many pencils as Jude. How many pencils does each of them have?
2. At a party, Mrs. Lim serves either lemonade in glasses or cups. She has exactly 100 glasses or 150 cups of lemonade. If she has already served her guests 40 glasses and 28 cups of lemonade, what is the maximum number of glasses of lemonade she had left?
Question posted by Mrs Tan, Parent
Fri, 5th Dec 2008
From the desk of Sunny Tan ... ... click on picture for bigger view
I came across an interesting problem sum while revising Maths with Alden:
There are 500 male and 200 female employees in factory A. There are 400 male and 600 female employees in factory B. Some employees are transferred from factory A to factory B. After the transfer, the number of male employees is the same as the number of female employees in factory B and the number of male employees is twice the number of female employees in factory A. How many female employees were transferred from factory A to factory B? (Answer: 100)
Could you advise other method besides Model Drawing to solve this question? The question is taken from math456.com P5 Maths CAs and Sas for Top Primary Schools.
Question posted by Mr Shew, Parent
Mon, 14th Jul 2008
This blog is for us to post answers to many questions that parents have with regards to the application of heuristics in mathematical problem solving. Readers are welcome to drop an email at utm@mathsheuristics.com. We will post the answers on this blog as soon as time permits.
Sunny Tan is the principle trainer and author of the Mastering Heuristics Series. He trains students in various heuristics concepts and applications, with special focus on pupils in their critical year (PSLE). He also conducts heuristics workshops for parents and educators.
