2941 |
AIME 1987 I Q3 |
By a proper divisor of a natural number we mean a ... |
1500.00 |
2942 |
AIME 1987 I Q4 |
Find the area of the region enclosed by the graph ... |
1500.00 |
2943 |
AIME 1987 I Q5 |
Find \(3x^2 y^2\) if \(x\) and \(y\) are integers ... |
1500.00 |
2944 |
AIME 1987 I Q6 |
Rectangle \(ABCD\) is divided into four parts of e... |
1500.00 |
2945 |
AIME 1987 I Q7 |
Let \([r,s]\) denote the least common multiple of ... |
1500.00 |
2946 |
AIME 1987 I Q8 |
What is the largest positive integer \(n\) for whi... |
1500.00 |
2947 |
AIME 1987 I Q9 |
Triangle \(ABC\) has right angle at \(B\), and con... |
1500.00 |
2948 |
AIME 1987 I Q10 |
Al walks down to the bottom of an escalator that i... |
1500.00 |
2949 |
AIME 1987 I Q11 |
Find the largest possible value of \(k\) for which... |
1500.00 |
2950 |
AIME 1987 I Q12 |
Let \(m\) be the smallest integer whose cube root ... |
1500.00 |
2951 |
AIME 1987 I Q13 |
A given sequence \(r_1, r_2, \dots, r_n\) of disti... |
1500.00 |
2952 |
AIME 1987 I Q14 |
Compute
\[ \frac{(10^4+324)(22^4+324)(34^4+324)... |
1500.00 |
2953 |
AIME 1987 I Q15 |
Squares \(S_1\) and \(S_2\) are inscribed in right... |
1500.00 |
2954 |
TOT 188 1988 Autumn J1 |
One of the numbers \(1\) or \(-1\) is assigned to ... |
1500.00 |
2955 |
TOT 168 1988 Spring J1 |
We are given that \(a\), \(b\) and \(c\) are whole... |
1500.00 |
2956 |
TOT 019 1982 Spring J5 S5 |
Consider the sequence \(1, \frac12, \frac13, \frac... |
1500.00 |
2957 |
TOT 360 1993 Spring O J3 |
Positive integers \(a\), \(b\) and \(c\) are posit... |
1500.00 |
2958 |
TOT 362 1993 Spring A J1 |
One of two wizards, named Steven, was told the sum... |
1500.00 |
2959 |
AMC 12 2014 B Q3 |
Randy drove the first third of his trip on a grave... |
1499.97 |
2960 |
AMC 8 2012 A Q17 |
A square with integer side length is cut into 10 s... |
1499.97 |