Geometry
Algebra
Trivia
Counting
Series
100
If the graph of the equations x + y = 0 and 5y + 7x =24 intersect at (m, n), then the value of m + n is ?
0
100
D
100
Who proposed the Prime Number Theorem?
Gauss
100
Five cards are drawn one by one from a standard deck without replacement. What is the probability that they form a straight (consecutive ranks)?
1/47
100
The Nth term of a arithmetic progression is P + QN, where P and Q are constants. Find the sum of the first N terms.
N/2 (2P+Q+NQ)
200
In two similar right triangles, the lengths of the corresponding sides are in the ratio of 5:3. If the larger triangle has a hypotenuse of length 17 and the length of the shortest side is 8, what is the area of the smaller triangle?
21.6
200
Four people are in line to purchase concert tickets which cost $12.50 each. While in line, they discover that they can purchase 5 tickets for $55. How much could each person save if the group found a fifth person to share the cost?
1.5 per ticket
200
Which famous persian mathematician, astronomer and geographer is accredited to have introduced the decimal system?
Musa Al Khwarizmi
200
Consider the word "MATHEMATICIAN." How many arrangements are there such that no two vowels are adjacent?
59857200
200
The first term of an arithmetic progression is -2272. Given the common difference is 24, at what term does it become positive?
96
300
Triangle ABC has a right angle at B. Let Q be along BC and P be along AB such that AQ bisects angle A and CP bisects angle C. If AQ = 9 and CP = 8√2, what is the length of the hypotenuse AC?
8sqrt(5)
300
Alex broke open his piggy bank. He had 30 more dimes than nickels and 8 more quarters than nickels. The value of the quarters is exactly the same as the value of the sum of the dimes and nickels. How many of each coin does Alex have?
.20 nickels. 50 dimes, 28 quarters.
300
Which number has its letters arranged in alphabetical order?
forty
300
At a party with 25 members, everyone shakes hands with everyone else. How many handshakes occur in total?
300
300
Consider the arithmetic progression 2sin(X) , 3cos(X), sin(X) + 2cos(X). Find the sum of first 20 terms.
X is an acute angle. Answer must be an integer.
70