2011 Gauss Contest Grade 7 - Part C
9:45 PM
Muhammad Yusuf
, Posted in
1. Steve begins at 7 and counts forward by 3, obtaining the list 7, 10, 13, and so on. Dave begins at 2011 and counts backwards by 5, obtaining the list 2011, 2006, 2001, and so on. Which of the following numbers appear in each of their lists?
(A) 1009 (B) 1006 (C) 1003 (D) 1001 (E) 1011
2. A pool has a volume of 4000 L. Sheila starts filling the empty pool with water at a rate of 20 L/min. The pool springs a leak after 20 minutes and water leaks out at 2 L/min. Beginning from the time when Sheila starts filling the empty pool, how long does it take until the pool is completely full?
(A) 3 hours (B) 3 hours 40 minutes (C) 4 hours
(D) 4 hours 20 minutes (E) 3 hours 20 minutes
3. In the addition of the three-digit numbers shown, the letters A, B, C, D, and E each represent a single digit.
The value of A + B + C + D + E is
(A) 34 (B) 21 (C) 32 (D) 27 (E) 24
4. From the figure shown, three of the nine squares are to be selected. Each of the three selected squares must share a side with at least one of the other two selected squares. In how many ways can this be done?
(A) 19
(B) 22
(C) 15
(D) 16
(E) 20
5. Ten circles are all the same size. Each pair of these circles overlap but no circle is exactly on top of another circle. What is the greatest possible total number of intersection points of these ten circles?
(A) 40 (B) 70 (C) 80 (D) 90 (E) 110
0 Response to "2011 Gauss Contest Grade 7 - Part C"
Post a Comment