Each Monday, I will post a math problem to be turned in by Friday for extra
credit in math. They will be challenging! Good Luck!
Guidelines:
You must show your work and put a box around the answer.
The answer must be correct.
You must turn them in on or before Friday.
Name must be on the paper.
*If your child's name does not appear on this page, they have not followed
one or more of the rules for submission. Please remember, this is extra
credit and not something that will count against them!
Problem 10: There were 9500 spectators at a football match. 6375 of them were
men. Of the remaining spectators, there were 4 times as many children as
women. How many children were there?
Answer: 2500
Great Job: Alexis, Marion, Yash, Sydney, Srirashmi, Sruthi
Problem 9: Mean, Median, Mode
Player A
9
10
12
13
11
Player B
14
16
16
13
16
Player C
19
18
16
14
18
Player D
15
17
19
17
17
Player E
13
12
13
12
15
Daniel, Kirk, Michael, Josh, and Roger often play a half-hour-long game of
basketball. They keep track of the number of points each player has earned
each game. The scores are listed above.
The mean of both Daniel's and Kirk's scores is 17.
The median of Michael's scores is 3 less than the median of Josh's scores.
The mean of Roger's scores is less than the mean of any other player's
scores. There is no mode of Roger's scores.
The mode of Daniel's scores is 1 more than the mode of Kirk's scores.
There is 1 player whose scores yield 2 modes.
Which scores belong to which player?
Answer: Uh-oh! This is the 4th grade problem of the week for 11/9/09!
Great Solving: Srirashmi, Joshua, Marion, Sruthi
Problem 8: The students at the Pickford School Craft Fair are selling
necklaces, bracelets, and rings. Harry counted the necklaces and found that
there were 6 short of 5 dozen. The students had 30 more rings than necklaces
and a dozen fewer bracelets than rings.When packed in boxes holding 6 items
per box, how many boxes of each item did they have?
Answer: This is the problem of the week for the 4th grade 10/12-10/16, so I
had to delete the answer!
Awesome job: Curtis, Caleb, Sydney, Joshua, Sruthi, Srirashmi
Problem 7: Mr. Madison has 14 fruit trees. He has 1 apricot tree and 1 pear
tree, and the rest are divided evenly among apple, peach, and plum trees.
Last Thursday, Mr. Madison picked 6 apples from each apple tree, 10 plums
from each plum tree, 3 peaches from each peach tree, and 4 pears from the
pear tree. How many pieces of fruit did he pick last Thursday?
Answer: 80 pieces of fruit
Awesome job: Caleb, Marion, Sydney, Sruthi, Curtis, and Yash
Problem 6: I am an even number less than 30. You say my name when you count
by sixes and eights. What number am I?
Answer 6: 24
Good job: S'mone, Marion, Curtis, Caleb, Ashton, Yash
Problem 5: How many whole numbers round to 50? What are the numbers?
Answer: 10 - 45, 46, 47, 48, 49, 50, 51, 52, 53, 54 (I also accepted 9, since
there could be confusion about the number 50.)
Outstanding Job: Curtis, Marion, Joshua, Srirashmi, and Ashton
Problem 4: Tim, Paul, and Tina each have 50 cents. Tim has 6 coins, Paul has
7 coins, and Tina has 8 coins. What coins does each person have?
Answer: Tim has 5 nickels and 1 quarter or 2 nickels and 4 dimes, Paul has 4
nickels and 3 dimes, and Tina has 6 nickels and 2 dimes.
Awesome Job: Sruthi, Mikayla, Srirashmi, Caleb, S'mone, Sydney, and Tiondra
Problem 3: Stan and three friends bought CD's for $15.90, $15.78, $15.96, and
$15.83. Lisa did not buy the most expensive CD. Janet spent a nickel more
than Dave. How much did each spend?
Answer: Lisa - $15.90, Stan - $15.96, Janet - $15.83, Dave - $15.78
Great job: Marion, Curtis, Sruthi, S'mone
Problem 2: I am thinking of a 4-digit number that has twice as many thousands
as ones, twice as many ones as hundreds, and twice as many hundreds as tens.
What is my number?
Answer: 8,214
Great job to: Sruthi, Marion, Alexis, Tatyana B., and Ashton
Problem 1: Suzette is twice as old as 4 year old Sylvia. Josie is 2 years
younger than her sister Suzette. The sum of the three sisters’ ages is one
half their mom's age. How old is mom?
Answer: Mom is 36.
Great job to: Ashton, Curtis, Tatiyana L., Marion, Alexis, Sruthi, Tiondra