Algebra
Geometry
Probability
Number Theory
Miscellaneous
100
solve for x:
x2+3x-10=0
x=2 or x=-5
100
How would you classify a triangle with side lengths 450, 600, and 750?
right
100
36 students took Dr. Hulbert's test yesterday. Of those 36, 4 left the room in tears. What is the probability that your best friend (who was one of those 36 who took the test) left the room crying? Simplify your answer.
1/9
100
39*41
(HINT TO GO FASTER: (A+B)(A-B) = A2 - B2
1599
100
What is the sum of the first 100 counting numbers (1+2+3+...+100)?
5050
200
The product of three consecutive natural numbers equals fifty-six times their sum. What is the middle number?
13
200
In a 30-60-90 triangle, find the side length between the 30 and 90 degree angles if the hypotenuse is 50
25sqrt(3)
200
What is the probability of getting heads three times in a row when flipping a coin?
1/8
200
If x+(x+3)+(x+6)+(x+9)+. . .+(x+24) = 144, then (x + 12) = __________
16
200
Suppose you have a regular hexagon. If you connect all non-adjacent vertices, how many points of intersection will be inside the hexagon?
13
300
In which quadrant does the vertex of the parabola given by the equation
y = 3(x + 1)2 − 2
lie?
Third quadrant
300
What is the area of a hexagon with a perimeter of 12?
6sqrt(3)
300
Yoyo has some red balls and some black balls in a bag. Altogether, she has 25 balls. Yoyo picks one ball from the bag. The probability that Yoyo picks a red ball is x, and the probability that Yoyo picks a black ball is 4x. How many black balls are there in the bag?
20
300
The sum of the x-intercept and y-intercept of
f(x) = 3|x − 4| is
16
300
On a quiz, 10% of the students scored 70 points, 35% scored 80 points, 30% scored 90 points, and the rest scored 100 points. What is the difference between the mean and the median of the students' scores on this quiz?
3
400
Three positive integers are equally spaced on a number line. The middle number is 15 , and the largest number is 4 times the smallest number. What is the smallest of these three numbers?
6
400
A circle of radius 3 is drawn inscribed in a right angle triangle ABC, right angled at C. If AC is 10, what is the value of CB?
10.5
400
Lily flips a biased coin. The probability that she gets two heads is 0.16. What is the probability that she gets two tails?
0.36
400
The formula for converting a Fahrenheit temperature F to the corresponding Celsius temperature C is 
At what temperature is the corresponding value in Celsius and Fahrenheit the same?
-40 degrees
400
How many permutations of the word MATHTEAM are there?
5040
500
Four numbers are written in a row. The average of the first two is 21 , the average of the middle two is 26 , and the average of the last two is 30 . What is the average of the first and last of the numbers?
24
500
When a right triangle is rotated about one leg, the volume of the cone produced is 800pi. When the triangle is rotated about the other leg, the volume of the cone produced is 1920pi. What is the length (in cm) of the hypotenuse of the triangle?
26
500
A fair coin is tossed three times. Work out the probability of getting two heads and one tail.
3/8
500
Let Sn be the sum of the reciprocals of the non-zero digits of the integers from 1 to n inclusive. Find the value of S7.
363/140
500
Will you sign up for math team next year?
YES