We met last two weeks, and did problems from the book "Learning Maths 6B by Norrin Hasim (Singapore Asian Publications)". I highly recommend this book for middle school kids for a variety of very nice problems - I haven't seen other levels of this book - but 6B has lots of nice geometric problems. Today's Problems 1-3 are based on this.
- Find the area of the American Football in the square of side 45 cm long, in the above picture.
- 1/5th of Anant's mm's are same as that of 1/3rd of Aditya's. If Aditya gives Anant 24 mm's (unlikely though!), Anant will have thrice as many mm's as Aditya. How many they had to begin with?
- A solid iron ball of volume 576 cubic-centimeter is cast into nine identical solid cubes. What are the dimensions of the cube?
- What about the other way around? Suppose you have 16 identical cubes, each having a side length of 2cm long, is cast as a solid ball. What is its radius?
- A string forms an equilateral triangle, whose sides are 3.14cms long. The same string is now reshaped as a circular ring. What is the radius of the ring?
- A circular race track has a inner radius of 56m and outside radius of 63m. What is the total area of the track itself?
- In the above problem, if the 7mts wide track is divided into 7 equally spaced ones- 1mts each, 7 racers need to run the full length of the track once - how should you place them so that each of them cover the same length?
- The difference between the ages of Mr. Young and Ms. Old is 45 years and the ratio of their ages is 3:8. What are the ages of Mr. Young and Ms. Old.
- Divide 25 into two parts, such that 4 times of one part is the same as 6 times the second.
- In a large movie hall, seats are assigned with respect to row and column numbers. In all there are 1296 seats, and the number of rows are the same as columns - how many rows are there?
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