Jenn has a blog site. She started blogging on July 30 at 7.30 am. She is posting her posts at exactly 7 hours and 30 minutes apart. When will she post her 730th post?
Recreational, educational, lovable, and challenging math problems, for elementary school, middle school and high school students, by Irena Stojkovska.
October 30, 2016
October 27, 2016
Problem No. 14. Two sisters
There have been two sisters. When the older sister was asked about their age, she said: "We had 730 months in total, 7 years and 30 months ago. Also, you have to know that I am 7 years and 30 months older than my sister." How old is each of the sisters?
Student tip
First find their age, 7 years and 30 months ago.October 22, 2016
Problem No. 13. Sequence of numbers
Continue the following number sequence:
7, 3, 0, 3, 3, 6, 9, 5, …
Parent tip
Children love finding solutions together with their parents. Pretend that it is a difficult problem.October 19, 2016
Problem No. 12. Sum of squares
Find all representations of the number 730 as a sum of two squares? And as a sum of three squares?
Teacher tip
Suitable for implementing the elimination and reminder methods while practicing the square numbers up to \(30^2\).October 15, 2016
Problem No. 11. Urns and balls
There are 7 urns with 30 balls each. In each urn there is equal number of white and black balls. Randomly, we take out one ball from the first urn and put it into the second urn. Then, we take one ball from the second urn and put it into the third urn. We continue this process, until we take a ball from the seventh urn and put it into the first urn. Then, we take a ball from the first urn. What are the chances that the ball is black?
Student tip
First, find the probabilities for taking a black ball from each urn in first 7 steps.October 11, 2016
Problem No. 10. Socks in a drawer
You have 7 pairs of black socks in your drawer, among 30 pairs in total. The rest of them are white socks. What is the smallest number of socks you should take out from the drawer (with your eyes closed) to be sure that you have a matching pair of white socks?
Parent tip
You can give this problem during the house chores. It is the fun way to implement the mathematical thinking outside the classroom. Children should know that math is real, fun and useful.October 06, 2016
Problem No. 9. Points on a circle
How many points can be drawn on a circle such that each two adjacent points are at the same distance, and each three adjacent points form an angle of \(7^o 30'\).
Student tip
You need to recall on the properties of inscribed angles in a circle.October 02, 2016
Problem No. 8. Seven 7s
How can you make 30, using seven 7s and the basic math operations (brackets are allowed)? What is the smallest number of 7s you can use, to make 30?
Parent tip
Have fun with your kids by exploring and calculating different number sentences. Do not forget that the brackets can help a lot.
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