Mathematics Enrichment Class Session 2

Here are the questions for this week. I find it rather interesting, hope the same goes for you.

1.     When the same whole number is added to both the numerator and denominator of 2/5 , the value of the new fraction is 2/3 . What number was added to both the numerator and denominator?

2.     When the same whole number is added to both the numerator and denominator of 4/7 , the value of the new fraction is 4/5. What number was added to both the numerator and denominator?

3.     When the same whole number is added to both the numerator and denominator of 2/5, the value of the new fraction is 6/7. What number was added to both the numerator and denominator?

4.     How many two-digit numbers are there in which the tens digit is greater than the ones digit?

5.   How many two-digit numbers are there in which the ones digit is greater than the tens digit?

6.     How many three-digit numbers are there in which the hundreds digit is greater than the tens and the ones digit?

Q5 Solution

Solution for Q5

317+1= 318

318÷2 = 159

159+1 = 160

The number of the very next page is 160.

Q4 Solution





Q3 Solution for Olympiad Training (1)





Solutions for Q2 of Olympiad Training (1)

Solutions for Q1 of Olympiad Training (1)

Solutions

1.         First, find the least common multiple for 6 and 14.

6, 12, 18, 24, 30, 36, 42, 48, …

14, 28, 42, 56, …

The least common multiple is 42.

Then find the least common multiple of 42 and 15.

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, …

42, 84, 126, 168, 210

The least common multiple is 210.

More Angles Activities

Here are more angles activities to deepen your understanding. Please try it out and give me feedback regarding the games.

http://www.bbc.co.uk/keyskills/flash/kfa/kfa.shtml

http://pbskids.org/cyberchase/games/anglemeasurement/anglemeasurement.html

http://www.sums.co.uk/playground/ss4/playground.htm

http://www.mathplayground.com/alienangles.html