Ho Math and Chessâ„˘ Monthly Problem
www.mathandchess.com offers interesting weekly mathematics problems for you to solve. Check here every week and send your answers. Your name will be posted on this web if your answers are correct. It is fun to solve some unexpected problems.
Monthly problems presented here (www.mathandchess.com) are all originated from Frank Ho. Your are welcome to use these problems in teaching math but please credit source of these monthly problems as "The problem's author is Frank Ho, founder of Ho Math and Chess Learning Centre, www.mathandchess.com.". Please email questions and comments to Frank Ho at mathandchess at telus.net.
Please send your answers along with your name, city, country and grade to Amanda at mathandchess at telus.net. Your name will be posted here if you answer correctly. If no answer is posted here then it means no one has answered correctly so you could still send your answer to Amanda.
 Question 1. If 2 1/2 = y 1/2, then what is y?
 Question 2. 2 + 2 = 4 and 2 X 2 = 4, then if y + y = 2y and y X y = 2y, what is y (other than y = 2)?
 Question 3. 1/2005 + 2/2005 + 3/2005 + ... + 2003/2005 + 2004/2005 = ?
 Question 4. Write the next 3 numbers for the number pattern 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, _____, _____, _____.
 Question 5. If 2/12 = 2/n  1/2, what is n?
 Question 6. If (y+2)% of 120 is 45 then what is the value of y?
 Question 7. Circle the numbers which are positive integers: 0/2, 2/2, 2+3, (2).
 Question 8. Is  y (y is not = 0) greater than zero or less than zero?
 Question 9. Andy took 1/4 of the remaining of 1/4 after the remaining of 1/4 after the remaining of 1/4, what fraction was left?
 Question 10. Write a stroy problem of one and half divided by one half?
 Question 11. Brian's rock skipped 3 more times of 3 times more of Frank's. Frank's rock skipped 3 times. How many times did Brian's rock skip?
 Question 12. Explain 6/2 in the meaning of division and also multiplication.
 Question 13. State the restrictions of x: squareroot of (x) and 1 divided by squareroot of (x).
 Question 14. Evaluate the expression 3 x 2 / (2/0).


Question 1. If 2 1/2 = y 1/2, then what is y?
The answer is 5. Congratulations to Charles Wong, Richmond, BC, Canada.
Question 2. 2 + 2 = 4 and 2 X 2 = 4, then if y + y = 2y and y X y = 2y, what is y (other than y = 2)?
The answer is 0. Congratulations to Ted Dong from Saskatoon, SK, Canada.
Question 3. 1/2005 + 2/2005 + 3/2005 + ... + 2003/2005 + 2004/2005 = ?
The answer is 1002. Congratulations to Charles Wong, Richmond, BC, Canada for his correct answer.
Question 4. Write the next 3 numbers for the number pattern 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, _____, _____, _____.
Question 5. If 2/12 = 2/n  1/2, what is n?
Question 6. If (y+2)% of 120 is 45 then what is the value of y?
Congratulations to Ted Dong, grade 6 from Saskatoon, SK, Canada. The answer is 71/2.
Question 7. Circle the numbers which are positive integers: 0/2, 2/2, 2+3, (2).
Congratulations to Ted Dong, grade 6 from Saskatoon, SK, Canada. The answer is 2/2, 2+3, (2).
Question 8. Is  y (y is not = 0) greater than zero or less than zero?
Question 9. Andy took 1/4 of the remaining of 1/4 after the remaining of 1/4 after the remaining of 1/4, what fraction was left?
Question 10. Write a stroy problem of one and half divided by one half?
Question 11. Brian's rock skipped 3 more times of 3 times more of Frank's. Frank's rock skipped 3 times. How many times did Brian's rock skip?
Congratulations to Thomas T. from Vancouver. You are right on the answer 12. Just work backwards, one would get the answer 3 + 3 x 3 = 12.
Question 12. Explain 6/2 in the meaning of division and also multiplication.
You are right, Thomas. 6 divided by 2 also could be explained as 6 times one half.
Question 13. State the restrictions of x: squareroot of (x) and 1 divided by squareroot of (x).
Thomas T. You almost got it right. sqroot(x+1)/sqroot(x)
The restriction for the denominator is x > 0, but for the numerator, it is x + 1 > = 0, so we get x >= 1
Intersecting the above 2 restrictions, we get x > 0.
Question 14. Evaluate the expression 3 x 2 / (2/0).


