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6th |
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| 3 9/29 |
Find the sum of the counting numbers from 1 to 25 inclusive.
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a+b=21, b+c=24,c+d=32, d+e=37, e+f=31, f+g=25, g+a=26.
Find the value for each variable. |
a+b=21, b+c=24,c+d=32, d+e=37, e+f=31, f+g=25, g+a=26.
Find the value for each variable. |
Suppose every vertex of a regular octagon is connected to every other vertex. How many triangles are formed that contain only two points of the octagon as vertices? |
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4
10/5
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Two pencils and 3 pens cost 78 cents. Three pencils and 2 pens cost 72 cents. How much does one pencil cost? |
Suppose 5 pumpkins are weighed two at a time in all possible ways. The weights in pounds are recorded a 16, 18, 20, 21, 22, 23, 24, 26, & 27. All five pumpkins weigh a total of 54. How much does each individual pumpkin weigh? (No fractions, please.) |
Suppose 5 pumpkins are weighed two at a time in all possible ways. The weights in pounds are recorded a 16, 18, 20, 21, 22, 23, 24, 26, & 27. All five pumpkins weigh a total of 54. How much does each individual pumpkin weigh? (No fractions, please.) |
Six geometry students, Al, Betty, Chuck, Dot, Ed, and Flo, took a college entrance examination. Given the following clues, rank the students in order from highest score to lowest score.
- Al & Betty had the same score.
- Al's score was higher than Chuck's.
- Chuck scored higher than Dot.
- Ed's score was lower than Chuck's.
- Betty's score was lower than Flo's. |
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5
10/12
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A work crew of 3 people requires 20 days to do a certain job. How long would it take a work crew of 4 people to do the same job? |
Find the difference between the sum of the first 100 positive multiples of three and the sum of the first 100 positive even integers. |
Find the difference between the sum of the first 100 positive multiples of three and the sum of the first 100 positive even integers. |
The weather during the Smedley's vacation was strange.
- It was cloudy on 13 different days, but it was never cloudy for an entire day.
- Cloudy mornings were followed by clear afternoons.
- Clear mornings were followed by cloudy afternoons.
-There were 11 clear mornings and 12 clear afternoons in all.
How long was the vacation? |
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6
10/19
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In three bowling games, Alice scores 139, 143, and 144. What score will Alice need in a fourth game in order to have an average score of 145 for all four games? |
In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less than 50% of the number Adam received. Carl received 20 more than 50% of what Brigitte received, and Diane received the remaining 180 votes. How many votes were cast in the election and who was the winner?
(Hint: let n = total # of votes,
A+B+C+180=n,
let 40 + 0.4n = 'A' -> Adam's votes, etc.) |
In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less than 50% of the number Adam received. Carl received 20 more than 50% of what Brigitte received, and Diane received the remaining 180 votes. How many votes were cast in the election and who was the winner?
(Hint: let n = total # of votes,
A+B+C+180=n,
let 40 + 0.4n = 'A' -> Adam's votes, etc.) |
A man selling fruit has only three weights, but with them he can weigh any whole number from 1kg up to 13kg inclusive on his balance. What weights does he have? |
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7
10/26
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A book has 500 pages numbered 1,2,3, and so on. How many times does the digit 1 appear in the page numbers? |
Joel is taking his friend Jo Ellen to lunch. He has exactly $15 to spend and plans to leave a 15% tip. What is the maximum-priced lunch he can buy? |
It is possible to have a right triangle with sides that are consecutive multiples of 7. Find it if you can and explain how you found it. |
part I - The interior angles of a regular polygon contains 3960 degrees. How many sides does it have?
part II - A regular polygon contains 252 diagonals. How many sides does it have?
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8
11/2
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A set of marbles can be divided in equal shares among 2,3,4,5, or 6 children with no marbles left over. What is the least number of marbles that the set could have? |
Is there a rule to test for divisibility by 7? What is the rule? Explain in detail. |
On an algebra test 39 more pupils passed than failed. On a new test, 7 who had passed the first test failed, and one-third of those who failed on the first test passed the second test. As a result, 31 more passed the second test than failed it. What was the record of passing and failing on the first test? |
Point A is located at (-4,-2). Point B, located is located at (2,y). The distance bewteen the two points is 10. What are the possible values for y? |
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