The calendar below shows the BCIS days and the lessons when Grade 7MT has Mathematics.
By clicking on a scheduled class you can see the work that is to be covered, or has been covered.
If a due date for an assignment is shown, clicking that due date gives the details of the assignment.
Homework Days for 7MT: Days 3 & 5
PROBLEM OF THE WEEK Answers due Monday December 10th 8:20am
December 4th is Santa's List Day - Have you been naughty or nice??
Last year Santa had 9532 kids from Lake Ronkonkoma, NY on the “good” list. This year Santa has 10,428 kids from Lake Ronkonkoma on the “good” list. By what percent did Santa’s list of “good” kids from Lake Ronkonkoma increase from last year? Express your answer as a percent to the nearest whole number.
On one street the kids were particularly good so no kids are getting zero presents, three kids are getting one present, eight kids are getting two presents, nine kids are getting three presents, five kids are getting four presents each and three kids are getting five presents. What is the average number of presents each kid is getting from Santa? Express your answer to the nearest tenth.
Bryan's chimney is rectangular, with the short side being half the length of the long side. If Santa’s belly is 58 inches in circumference, and he just fits through the chimney, what are the smallest possible dimensions of Bryan’s chimney? Assume Santa’s belly is perfectly round. Express your answer to the nearest tenth.
PROBLEM OF Last WEEK Solutions underlined
*These problems are meant to be an exercise in using logic and reasoning to find patterns. Have fun with it! While I wrote these questions with a particular solution in mind, there maybe other solutions... If you are able to justify your pattern, then your answer is acceptable.*
What is the next term in the sequence below?
0, 3, 8, 15, 24, _ Each term equals a perfect square minus one.
12-1 = 0
22-1 = 3
32-1 = 8
Therefore the term that belongs in the blank is 35 because 62-1 = 35.
What would the eighth figure in the sequence look like? --
Answer
--
Draw the figure that would come next in the pattern.
answer
If the pattern continues, what numbers will be in the blanks below?
3, 2, 6, 3, 9, 5, 12, 7, _, _ There are two “sub-patterns” occurring within the pattern in the question.
One “sub-pattern” starts at three and each term increases by three. 3, 2, 6, 3, 9, 5, 12, 7, _, _
The second “sub-pattern” is prime numbers.
3, 2, 6, 3, 9, 5, 12, 7, _, _
Once you’ve identified that there are two “sub-patterns”, it becomes much easier. The first blank is the fifth term of the first pattern and the second blank is the fifth term of the second pattern.
The first blank should be 15. The second blank should be 11.
Problem of the week: http://www.mathcounts.org/webarticles/anmviewer.asp?a=1133&z=85
By clicking on a scheduled class you can see the work that is to be covered, or has been covered.
If a due date for an assignment is shown, clicking that due date gives the details of the assignment.
Homework Days for 7MT: Days 3 & 5
PROBLEM OF THE WEEK Answers due Monday December 10th 8:20am
December 4th is Santa's List Day - Have you been naughty or nice??
Last year Santa had 9532 kids from Lake Ronkonkoma, NY on the “good” list. This year Santa has 10,428 kids from Lake Ronkonkoma on the “good” list. By what percent did Santa’s list of “good” kids from Lake Ronkonkoma increase from last year? Express your answer as a percent to the nearest whole number.
On one street the kids were particularly good so no kids are getting zero presents, three kids are getting one present, eight kids are getting two presents, nine kids are getting three presents, five kids are getting four presents each and three kids are getting five presents. What is the average number of presents each kid is getting from Santa? Express your answer to the nearest tenth.
Bryan's chimney is rectangular, with the short side being half the length of the long side. If Santa’s belly is 58 inches in circumference, and he just fits through the chimney, what are the smallest possible dimensions of Bryan’s chimney? Assume Santa’s belly is perfectly round. Express your answer to the nearest tenth.
PROBLEM OF Last WEEK Solutions underlined
*These problems are meant to be an exercise in using logic and reasoning to find patterns. Have fun with it! While I wrote these questions with a particular solution in mind, there maybe other solutions... If you are able to justify your pattern, then your answer is acceptable.*
What is the next term in the sequence below?
0, 3, 8, 15, 24, _
Each term equals a perfect square minus one.
12-1 = 0
22-1 = 3
32-1 = 8
Therefore the term that belongs in the blank is 35 because 62-1 = 35.
What would the eighth figure in the sequence look like?
--
Draw the figure that would come next in the pattern.
If the pattern continues, what numbers will be in the blanks below?
3, 2, 6, 3, 9, 5, 12, 7, _, _
There are two “sub-patterns” occurring within the pattern in the question.
One “sub-pattern” starts at three and each term increases by three.
3, 2, 6, 3, 9, 5, 12, 7, _, _
The second “sub-pattern” is prime numbers.
3, 2, 6, 3, 9, 5, 12, 7, _, _
Once you’ve identified that there are two “sub-patterns”, it becomes much easier. The first blank is the fifth term of the first pattern and the second blank is the fifth term of the second pattern.
The first blank should be 15. The second blank should be 11.
Problem of the week: http://www.mathcounts.org/webarticles/anmviewer.asp?a=1133&z=85