Problemset

No. Problem Tag
113 2
112 1
111 5
110 4
109 3
108 2
107 1
106 5
105 4
104 3
103 2
102 1
101 4
100 3
99 2
98 1
96 5
95 4
94 A number N has three digits when expressed in base...
93 2
92 1
91 5
90 Three fair six-sided dice are rolled. What is the ...
89 3
88 Central High School is competing against Northern ...
87 1
86 5 Probability
85 4
84 3
83 2
82 1
81 4
80 3
79 2
78 1
77 4
76 3
75 4
73 2
71 5
70 3
69 2
68 1
67 A set of teams held a round-robin tournament in wh...
66 One of Michael’s responsibilities in organizing th...
65 At a gathering of 30 people, there are 20 people w...
64 Eight people are sitting around a circular table, ...
63 Zou and Chou are practicing their
62 Five men and nine women stand equally spaced aroun...
61 When Jon Stewart walks up stairs he takes one or t...
60 5
59 3
58 4
57 3
56 3
55 2
54 1
53 Five men and nine women stand equally spaced aroun...
52 Eight people are sitting around a circular table, ...
51 At a gathering of 30 people, there are 20 people w...
50 How many positive cubes divide
49 When Jon Stewart walks up stairs he takes one or t...
48 The 5x5 grid shown contains a collection of square...
47 Henry's Hamburger Haven offers its hamburgers with...
46 Let S be the set of permutations of the sequence 1...
45 Pat is to select six cookies from a tray containin...
44 Four distinct circles are drawn in a plane. What i...
43 An auditorium with 20 rows of seats has 10 seats i...
42 How many different patterns can be made by shading...
41 There are 120 seats in a row. What is the fewest n...
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-...