MATH FIELD DAY 2004 RELAYS
Relay A
A1. Find the slope of the line
A2. Let k be the number you receive. Find the sum of 12k +11k + … + 2k + k .
A3. Let k be the number you receive. Find the largest integer n such that 4n^5 < k .
A4. Let k be the number you receive. Find the area of the right triangle with
one leg of length
k and the other of length k + 2 .
A5. Let k be the number you receive. Find the y-coordinate of the point where
the line of slope
k through the point (1, 2) intersects the line x = 3 .
Relay B
B1. Find x if
B2. Let k be the number you receive. Find the value of
B3. Let k be the number you receive. Find the larger of the two
consecutive integers whose
sum is k .
B4. Let k be the number you receive. Find the radius of a circle whose area is kπ .
B5. Let k be the number you receive. Find the x -value of the solution of the system:
Relay C
C1. In how many different ways can we arrange three objects in a row?
C2. Let k be the number you receive. Suppose there are k people, labeled with
the numbers 1,
2, …, k , sitting clockwise around a circle. If we start counting clockwise from
person 1,
what is the label of the 45th person counted?
C3. Let k be the number you receive. Calculate the following:
C4. Let k be the number you receive. In the following figure, AB = k , ∠ABC = 90ยบ , and
Find AC.
C5. Let k be the number you receive. In the following
figure, AB = k , BD = 4, and DE = 1.
Find CE.
Relay D
D1. Find the area of an isosceles right triangle whose
hypotenuse has length 
D2. Let k be the number you receive. If a rectangle’s
length is 2 more than its width and the
rectangle has as area of 6k , find the rectangle’s width.
D3. Let k be the number you receive from the front and m
be the number you receive from the
rear. If Fran can paint a room in k days and Ollie can paint a room of equal
size in m
days, how many days will it take the two of them working together to paint 5
rooms?
D4. Let k be the number you receive. If the quadratic
equation x^2 + bx + c = 0 has k and -11
as roots, find b.
D5. How many CDs can you buy from an online store if you
have $100 to spend, the CDs cost
$9.99 apiece, and there is a fixed shipping cost of $6.95 for any order?
