2020美国大联盟夏季数学挑战活动（选择题）

1、 2020美国大联盟(Math League)夏季挑战活动2020 Math League Summer Challenge (China)Grade 5, Speed QuestionsAugust 20201. Evaluate: 2A) 8. Which fraction is equivalent to 0.5%?3+ 2 =B) 10C) 12D) 14215111A)B)C)D)20502003. The length of a side of a regular pentagon is equal to what percent of its perimeter?A) 5%B)

2、20%C) 25%D) 50%D) 11 12D) 1045. Of the following, which is the nearest value to 11 11?A) 10 11B) 9 11C) 10 12. How many different positive factors does 24 have?A) 6B) 7C) 86. What number comes next in the series? 1 13 6 18 11 23 ?A) 14B) 16C) 22D) 287. Which one of the following four numbers has the

3、 most positive factors?B) 12 C) 16 D) 35. What part of 5 hours is 40 seconds?A) 10818111A)B)C)D)1503004509. Fill in the blank: 25 16 =A) 1 B) 30. If there are 4 Mondays and 4 Fridays in the month of October, which day of theC) 9D) 1811 week will October 31 fall on?A) Monday B) TuesdayC) Wednesday D)

4、 Thursday11. What is the sum of the smallest positive integer and the biggest odd 2-digit integer?A) 97B) 98C) 99D) 10012. What is the result when you divide 4/9 by 2?298918A)B)C) 1D)91813. December 31, 2019 falls on Tuesday. Which day of the week will the same date fallnext year?A) TuesdayB) Wednes

5、day C) ThursdayD) Friday14. 2 4 8 16 24 = 8 8 8 8 ?A) 3 B) 6 C) 8D) 1215. What is the measure of the complementary angle for 37?A) 8B) 53C) 143D) 32316. On a 20-question quiz, Aanya got 80% right. Shawn got 90% of them wrong. Howmany more correct answers did Aanya get than Shawn?A) 2 B) 14 C) 16D) 1

6、817. The sum of three consecutive integers is 57. What is their arithmetic mean(average)?A) 16B) 17C) 18D) 19118. What is the volume of a rectangular box with dimensions of 4, 5, and 9?A) 180B) 200C) 202D) 3609. In a right triangle ABC, what is the arithmetic mean (average), in degrees, of themeasur

7、es of the two smallest angles?A) 45 B) 60C) 90D) 1802 20. Which number is closest to the square root of 180?A) 12 B) 13 C) 14D) 151421. Which of the following numbers is less than?1414 1 2C) 214 1 D) 2 B)A) 4 4 22. Kiara downloaded 264 pictures from her cell phone to her computer. These picturestook

8、 up 528 megabytes of space on her computer. Each picture took up the sameamount of space. How many megabytes do 45 of these pictures take up?A) 25 MB3. Which has the same value as 4A) 4 B) 44. A clothing store had polo shirts on sale at 20% off the regular price. The store thenB) 80 MBC) 90 MB 4C) 1

9、6D) 18 MB233?696D) 1692took an additional 10% off the sale price. What is the final price of a polo shirtoriginally priced at $50?A) $32B) $355. What is 20% of 40% of 100?B) 20C) $36D) $4022A) 8C) 40D) 606. How many whole numbers between 100 and 1000 have the digit 1 in the tens place?A) 89B) 90B) 5

10、C) 99D) 10027. How many ending zeroes will the product of all the numbers from 1 to 25 inclusivehave?A) 4C) 6D) 10228. In a dog race, my dog finished 4th best (which was also 4th from last). If there wereties (3 dogs in the same place in each tie), how many dogs ran in this race?A) 9B) 10C) 11D) 133

11、 29. It was Tuesday on the 3rd of September. How many Tuesdays were there inSeptember?A) 3B) 4C) 5D) Not enoughinformation330. If today is a Saturday, what day of the week is 97 days from today?A) TuesdayB) Wednesday C) ThursdayD) Friday1. Devi has a wooden cube with 3 inches on each edge. She paint

12、ed red on all the facesand then cut it into small 1-inch cubes. What is the ratio of the small cubes that haveexactly one face painted red to the small cubes that have exactly 2 faces painted red?A) 1 : 6B) 3 : 4C) 1 : 2D) 2 : 132. What is the quotient when 39 is divided by 93 ?A) 3 3 B) 3 C) 3 92D)

13、 3 + 933. Prime factorization of 3,000 can be written in the format ABCDE. What is theFsum of B, D, and F?A) 6B) 74. Of the following, which is one less than a prime factor of 375?B) 24 C) 25 D) 3745. What is the probability of rolling a sum of 4, when you roll 2 standard 6-sided diceC) 4D) 103A) 43

14、once?112914A)B)C)D)61236. I counted backwards by 3s starting with the number 999. What was the 100thnumber I counted？A) 699B) 702C) 705D) 70837. How many prime numbers less than 100 have at least one digit that is not prime?4 A) 0B) 10C) 16D) 1738. If 3a = 2, what is the value of 33a1?898A) 0C) 2B)D

15、)339. In how many ways can 6 people be divided into 3 teams, with 2 people on eachteam?A) 15B) 20C) 90D) 36040. If a2= 9 , what is the least possible value of 2a ?B) 6 C) 9A) 6D) 1841. The sum of the first 25 of 50 consecutive whole numbers is always ? less than thesum of the last 25?A) 25B) 50C) 62

16、5C) 100D) 1250D) 1000442. When I divide the sum of 100 integers by their average, I getA) 1B) 103. Of the following, which is the sum of 10 consecutive integers?B) 54 C) 145 D) 154A) 50844. 9 +most nearly equals637+45+2+1A) 9B) 10C) 16D) 1745. A game was one-third over at 8:35 p.m. If the game ended

17、 at 10:09 p.m., what timewas it 30 minutes after the game began?5 A) 7:18 p.m.B) 7:48 p.m.C) 8:18 p.m.D) 6:31 p.m.46. What is the average value of all the positive integer factors of 30?A) 15B) 9C) 6D) 047. What is the greatest odd factor of 1 2 3 4 5 6 7 8 9?A) 9B) 63C) 945D) 283548. If the volume

18、of a cube is the square of an integer, then the area of one face couldbeA) 89. Write 1.24 as a fraction in lowest terms. Its reciprocal isB) 16C) 32D) 64445252549A)B)C)D)31242550. Of 50 athletes, 30 swim and 25 dive. Of those who dive, 15 swim. How manyathletes neither swim nor dive?A) 5B) 10C) 15D)

19、 2051. If the difference between 2 primes is 99, their product must beA) 100B) 2021C) 306D) 5202 3 4 5 6 7 8 9 1052. When the product is reduced to lowest22 2 2 2 2 2 2 22terms, its denominator isA) 1B) 4C) 8D) 1653. 9100=?A) 910B) 9100C) 9200D) 91000054. The area of a square is 4 times its perimete

20、r. One side isA) 64 B) 16 C) 4 D) 16 55. What is the smallest possible difference between an integer and its square?(Note: The difference between two numbers a and b is defined as a b, where a b.)A) 3B) 2C) 1D) 056. 1000 km3= ?m3A) 10003B) 100003C) 1000003D) 1000000357. I wrote the 200 integers from