Problemset

No. Problem Tag
40 When Jon Stewart walks up stairs he takes one or t...
39 A large equilateral triangle is constructed by usi...
38 Using the letters A, M, O, S, and U, we can form f...
37 Points R, S and T are vertices of an equilateral t...
36 The Fibonacci sequence $1,1,2,3,5,8,13,21,...... s...
35 One thousand unit cubes are fastened together to f...
34 For some real number r, the polynomial (8x^3-4x^2-...
33 what is on
32 Tina randomly selects two distinct numbers from th...
31 The number of diagonals that can be drawn in a pol...
30 Six straight lines are drawn in a plane with no tw...
29 Professor Gamble buys a lottery ticket, which requ...
28 Pat is to select six cookies from a tray containin...
27 Three planets orbit a star circularly in the same ...
26 In a 6 x 4 grid (6 rows, 4 columns), 12 of the 24 ...
25 Let the set S = {8, 5, 1, 13, 34, 3, 21, 2}. Susan...
24 Let a, b, and c be three distinct one-digit number...
23 Two sides of a triangle have lengths 10 and 15. Th...
22 A frog is placed at the origin on the number line,...
21 Each of two boxes contains both black and white ma...
20 Cozy the Cat and Dash the Dog are going up a stair...
19 Given a triangle with side lengths 15, 20, and 25,...
18 Given that a, b, and c are non-zero real numbers, ...
17 What is the least positive integer that is not a f...
16 Let n>3 be a positive integer. Equilateral triangl...
15 A parking lot has 16 spaces in a row. Twelve cars ...
14 Let r, s be two positive integers and P a 'chessbo...
13 In the figure below, there are 4 distinct dots A, ...
12 In a drawer Sandy has 5 pairs of socks, each pair ...
11 Call a positive integer monotonous if it is a one-...
10 Suppose that 4 cards labeled 1 to 4 are placed ran...
9 Of the 20 lightbulbs in a box, 2 are defective. An...
8 Bob and Alice each have a bag that contains one ba...
7 The sum of the first 10 terms of an arithmetic seq...
6 A group of 10 friends are ordering pizzas for a pa...
5 A bag contains 5 red balls and 7 blue balls. If tw...
4 A box contains 2 pennies, 4 nickels, and 6 dimes. ...
3 For a certain probability experiment, the probabil...
2 Of the 40 specimens of bacteria in a dish, 3 speci...