Math Problems : The Massachusetts Association of Mathematics Leagues (MAML)
5:39 PM
Muhammad Yusuf
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1. A car is traveling at 70 miles per hour. To the nearest tenth, how many seconds does it take to travel one mile?
(A) 51.3 (B) 51.4 (C) 52.3 (D) 52.4 (E) 53.3
2. A square is folded into thirds along the dotted lines producing the rectangle shown. If the perimeter of the rectangle is 24, find the number of units in the perimeter of the original square.
(A) 36
(B) 42
(C) 48
(D) 27
(E) 28
3. In the 2010 World Cup of Soccer the goalkeeper of the Kenyan team stopped 80% of the shots on goal prior to the game against South Africa. Against South Africa he did not stop any of the 15 shots the South Africans took and his percentage dropped to 50%. How many shots on goal did he stop before the game against South Africa?
(A) 10 (B) 15 (C) 18 (D) 20 (E) 25
4. Shown is a figure with 100 teeth. Each tooth is a 1 by 1 square. Find the number of square units in the area enclosed by the figure.
(A) 1791
(B) 1890
(C) 1891
(D) 1900
(E) 1901
5. If a single digit is removed from the decimal expansion of 8/11, resulting in a new decimal, determine the largest possible result.
(A) 73/100
(B) 76/99
(C) 7/9
(D) 77/100
(E) 17/22
6. A father and son drove out to California. The father drove 80% of the time and covered 60% of the distance. Assuming that each drove at a constant rate, determine the ratio of the father's speed to the son's speed.
(A) 8/25
(B) 3/8
(C) 12/25
(D) 3/5
(E) 3/4
7. In the following list of 4 people, if exactly one person is telling the truth and exactly one person did it, then who did it?
Al: I didn't do it.
Betty: Carl did it.
Carl: Debby did it.
Debby: I did it.
(A) Al (B) Betty (C) Carl (D) Debby (E) Cannot be determined.
8. Simplify:
(A) − √3 (B) − √2 (C) √2 (D) √3 (E) – ½ √5
9. In circle O, AB ⊥ BO , AB + BO + OC = 10 and ( AB) (BO) = 5 . Find OC.
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
10. Determine the number of square units in the area of the region bounded by the graphs of ⎢x⎢ + y = 4 and x + 5y = −4 .
(A) 16 (B) 20 (C) 24 (D) 28 (E) 32
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