6:06 PM
Muhammad Yusuf
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Math Problems : The Massachusetts Association of Mathematics Leagues (MAML)
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
Math Contest Problems : Eighth Grade Test - Excellence in Mathematics Contest – 2011
1. Included in the Rhind Papyrus from 3600 years ago, the Egyptians used the following rule to determine the area of a circle:
“From the diameter, subtract 1/9 of the diameter. Square your answer.”
Compared to the correct formula for computing the area of a circle, what is the per cent error when using this Egyptian formula? (Note: “per cent error” = “amount of error”/”correct answer”.)
A. 0.60% B. 0.73% C. 0.92% D. 1.28% E. 1.31%
2. In mentioning the phenomenal growth of the Internet, a computer scientist wrote that the capacity is now reaching one yottabyte. If one yottabyte equals one thousand zettabytes; one zettabyte equals one million pettabytes; one pettabyte equals one million gigabytes; one gigabyte equals 210 megabytes; and one megabyte equals 220 bytes; then one yottabyte equals approximately 10N bytes. What is N? (Personally, I’d say, “That’s a lotta bytes!”)
A. 15 B. 18 C. 21 D. 24 E. 27
3. It is 6:00 PM Tuesday in San Francisco when it is 2:00 AM Wednesday in London. Zan at the San Francisco Google office and Alec at the London Google office are scheduled to work together on a project on their computers. Zan contacts Alec at 7:40 AM San Francisco time and they begin working. They work together until Alec shuts down his computer at 7:15 PM London time. For how many minutes did they work together?
A. 35 B. 95 C. 155 D. 215 E. 275
4. One-Pile Nim is a two-person game. Pattie and Malik take turns. There is one pile of chips. On each turn, a player takes 1, 2, 3, 4, or 5 chips from the pile. The player to take the last chip wins. At one point of the game, it is Pattie’s turn and there are 1,000 chips remaining in the pile. If both players make their best plays, there is only one winning play for Pattie. What is it?
A. Take 1 chip B. Take 2 chips C. Take 3 chips D. Take 4 chips E. Take 5 chips
5. Alicia, Ben, and Camellia are each bicycling at a constant speed.
- At 3:00, Alicia is 100 m behind Ben and Ben is 200 m behind Camellia.
- At 3:08, Alicia passes Ben.
- At 3:12, Alicia passes Camellia.
As Ben passes Camellia, how many meters are they behind Alicia?
A. 100 m B. 150 m C. 200 m D. 300 m E. 400 m
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