| 1541 |
AMC 12 2005 A Q17 |
A unit cube is cut twice to form three triangular ... |
1500.00 |
| 1542 |
AMC 12 2005 A Q18 |
Call a number "prime-looking" if it is composite b... |
1500.00 |
| 1543 |
AMC 12 2005 A Q19 |
A faulty car odometer proceeds from digit 3 to dig... |
1500.00 |
| 1544 |
AMC 12 2005 A Q22 |
A rectangular box \( P\) is inscribed in a sphere ... |
1500.00 |
| 1545 |
AMC 12 2005 A Q24 |
Let \( P(x) = (x - 1)(x - 2)(x - 3)\). For how man... |
1500.00 |
| 1546 |
AMC 12 2005 A Q25 |
Let \( S\) be the set of all points with coordinat... |
1500.00 |
| 1547 |
AMC 12 2005 B Q14 |
A circle having center \( (0,k)\), with \( k > 6\)... |
1500.00 |
| 1548 |
AMC 12 2005 B Q15 |
The sum of four two-digit numbers is \( 221\). Non... |
1500.00 |
| 1549 |
AMC 12 2005 B Q16 |
Eight spheres of radius 1, one per octant, are eac... |
1500.00 |
| 1550 |
AMC 12 2005 B Q18 |
Let \( A(2,2)\) and \( B(7,7)\) be points in the p... |
1500.00 |
| 1551 |
AMC 12 2005 B Q21 |
A positive integer \( n\) has 60 divisors and \( 7... |
1500.00 |
| 1552 |
AMC 12 2005 B Q22 |
A sequence of complex numbers \( z_0,z_1,z_2,....\... |
1500.00 |
| 1553 |
AMC 12 2005 B Q23 |
Let \( S\) be the set of ordered triples \( (x,y,z... |
1500.00 |
| 1554 |
AMC 12 2005 B Q24 |
All three vertices of an equilateral triangle are ... |
1500.00 |
| 1555 |
AMC 12 2005 B Q25 |
Six ants simultaneously stand on the six vertices ... |
1500.00 |
| 1556 |
AMC 12 2022 A Q3 |
Five rectangles, \(A\), \(B\), \(C\), \(D\), and \... |
1500.00 |
| 1557 |
AMC 12 2022 A Q19 |
Suppose that 13 cards numbered \(1, 2, 3, \dots, 1... |
1500.00 |
| 1558 |
AMC 12 2022 B Q2 |
In rhombus \(ABCD\), point \(P\) lies on segment \... |
1500.00 |
| 1559 |
AMC 12 2022 B Q13 |
The diagram below shows a rectangle with side leng... |
1500.00 |
| 1560 |
AMC 12 2022 B Q18 |
Each square in a \(5 \times 5\) grid is either fil... |
1500.00 |