Geometry
If a trapezoid has an area of 54in2, a height of 9in, and one base of 8in, how many inches is the other base?
A = h(b1+b2)/2
54 = 9(8+b2)/2
108 = 9(8+b2)
12 = 8+b2
b2 = 4 inches
You go to a pizza shop. There are 2 crust options, 2 sauce options, 3 cheese options, and 8 topping options. How many different pizzas could you make?
2 x 2 x 3 x 8 = 96 different pizzas
If you flip a coin, what is the probability you flip heads 5 times in a row?
1/32
What is Ms. Kahn's favorite food?
Hot dogs on the grill
When do we say "haha, that's funny" in math team?
When the number of the mad minute question is the same as the number of the answer
A pizza shop sells one 14 inch pizza for $10 and two 7 inch pizzas for $10. Which is the better deal?
A = pi(r)2
A1 = (3.14)(7)2 = 153.86 in2
A2 = 2(3.14)(3.5)2 =76.93 in2
The 14 inch pizza is the better deal.
How many ways can the word "ALGEBRA" be arranged?
7!/2 = 2520
What is the probability of selecting a heart and then a club from a standard shuffled deck of cards without replacement?
13/52 x 12/51 = 1/4 x 4/17 = 1/17
Where did Ms. Kahn grow up?
Miami, Florida
How do you read this number properly?
17.25
Seventeen and 25 hundredttttthhhhssss
A scalene triangle has side lengths of 17cm, 19cm, and 24cm. If a square's perimeter is 80% of the triangle's perimeter, what is the area of the square?
17+19+24 = 60
60 x 0.80 = 48
48/4 = 12
12x12 = 144cm2
If the Math Team students and coaches (6 people total) get in a line, how many ways can the line be arranged if Ms. Kahn and Ms. Meredith insist on standing next to each other?
5! = 120 ways
There are 3 vegetarians in a class of 20 students. If 3 students are chosen at random, what is the probability that exactly one of the 3 is vegetarian?
3(3/20 x 17/19 x 16/18) = 3(34/285) = 34/95
What does Ms. Kahn eat every day?
Peanut butter
What do Luca's parents own?
The stock market
What is the area of a circle inscribed within a triangle of area 30cm2 and perimeter 30cm?
A = (b1 + b2 + b3)h/2 where h = r
30 = (30)r/2
r = 2 cm
A = pi(r)2 = (3.14)(2)2 = 12.56 cm2
Ms. Kahn won a math contest and she gets to choose four different prizes from a set of nine. How many combinations of four prizes can she choose from a set of nine?
9x8x7x6/4x3x2x1 = 126 combinations
There are nine blocks in a bag: 3 red, 3 white, and 3 blue. If 3 blocks are selected at random without replacement, what is the probability that at least 2 of the blocks will be different colored?
3(3/9 x 2/8 x 1/7) = 3(1/84) = 1/28
1 - 1/28 = 27/28
What's the last Broadway musical Ms. Kahn watched?
Tina: The Tina Turner Musical
Which of Sebastian's brothers is a former mathlete?
Jonah
A semicircle with diameter AD = 12cm is rolled to form a cone by connecting A to D. What is the volume of the cone? (V = pi(r)2h/3)
radius of semicircle is the cone's slant height = 6cm
arc length of semicircle is circumference of the cone = 6pi cm
so radius of cone = 3cm
32 + b2 = 62
b = 3sqrt(3)
V = pi(r)2h/3
V = pi(3)2(3sqrt(3))/3 = 9pi x sqrt(3) cm3
There are 12 teams of 6 players in a volleyball tournament. Before every competition, each player must shake the hand of all the players on the opposite team. If each team plays every other team exactly once, how many handshakes happen in the tournament?
72(72 - 6)/2 = 2376 handshakes
If the probability of rain on any given day in February is 40%, what is the probability that for a given week in February there will be exactly three rainy days? Round your answer to the nearest percent.
(2/5)3 x (3/5)4 = 647/78125
7x6x5/3x2x1 = 35
35 x 647/78125 = 28.9856
29%
What was Ms. Kahn's major in college?
Dance
What is Daphne's favorite math topic?
Proportions