2020年美国“大联盟”(Math League)思维探索活动第一阶段五年级试卷
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选择题：每小题 5 分，答对加 5 分，答错不扣分，共 175 分，答案请填涂在答题卡上。
1. 60 ×120 = A) 180 + 240
B) 180 + 540
C) 1800 + 2400
D) 1800 + 5400
2. The cost of 8 kilograms of bananas is $12. What is the cost of 12 kilograms of bananas?
A) 1
B) 2
C) 3
D) 4
16. Cy has 50 nickels and 100 dimes. Nickels make up what fraction of the total value of Cy’s 150 coins?
请在装订线内签名表示你同意遵守以上规定。
考前注意事项： 1. 本试卷是五年级试卷，请确保和你的参赛年级一致； 2. 本试卷共 4 页(正反面都有试题)，请检查是否有空白页，页数是否齐全； 3. 请确保你已经拿到以下材料：
本试卷(共 4 页，正反面都有试题)、答题卡、答题卡使用说明、英文词汇手册、 草稿纸。试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。 4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一 半题目的学生就应该受到表扬和鼓励。
A) 2010
B) 2010.5
C) 2011
D) 2031.5
第 1 页，共 4 页
7. Ken rode his bicycle with Kurt and Liz last Sunday. Ken rides with Kurt on every 4th day and on no others. Ken rides with Liz on every 6th day and on no others. What is the first day after last Sunday on which Ken will ride with both Kurt and Liz?
城市
区
பைடு நூலகம்考号
所在学校
年级
姓名(签名)
………………………………………………装……………………………………………订……………………………………………线…………………………………………………………… ……………………………………装…………………订…………………线…………………内…………………不…………………答…………………题………………………………………
A) 8
B) 9
C) 10
D) 11
14. What is ten million divided by ten thousand?
A) ten
B) one hundred
C) one thousand
D) ten thousand
15. The number of different prime numbers that divide 81 is
A) 14
B) 16
C) 18
D) 20
3. 12019 + 12020 =
A) 0
B) 1
C) 2
D) 4
4. Mary earns $50 per week, after taxes, working part-time at a hardware store. Her weekly budget allots $14 for paying back a loan, $16 for miscellaneous expenses, and the rest for savings. Based on this budget, what is fewest number of weeks that it will take her to save $450?
2019-2020 年度美国“大联盟”(Math League)思维探索活动第一阶段
(五年级) (活动日期：2019 年 11 月 24 日，答题时间：75 分钟，总分：175 分)
学生诚信协议：答题期间，我确定没有就所涉及的问题或结论，与任何人、用任何方式交流或讨论， 我确定我所填写的答案均为我个人独立完成的成果，否则愿接受本次成绩无效的处罚。
C) 2020 m
D) 20 020 m
10. If 50% of a number is 20, what is 20% of the same number?
A) 2
B) 4
C) 8
D) 10
11. An isosceles triangle has exactly one side of length 10. If its perimeter is 28, what is the length of one of its other sides?
A) Wednesday
B) Thursday
C) Friday 8. 555 – 444 + 333 – 222 + 111 =
A) 2 ×111
D) Saturday B) 3 ×111
C) 4 ×111 9. 20 km + 20 m =
A) 22 km
D) 5 ×111 B) 20.2 km
A) 20
B) 22
C) 23
D) 24
5. Which of the following is not the product of exactly three different prime factors?
A) 30
B) 70
C) 105
D) 175
6. What is the average of 2001, 2002, 2010, 2011, 2019, and 2020?
A) 8
B) 9
C) 10
D) 18
12. The area of a square is 64. The perimeter of the square is?
A) 8
B) 16
C) 32
D) 64
13. When shooting baskets, Kyle makes his first basket but then misses 9 in a row. What is the minimum number of additional shots he must take to achieve an equal number of baskets and misses?
1. 60 ×120 = A) 180 + 240
B) 180 + 540
C) 1800 + 2400
D) 1800 + 5400
2. The cost of 8 kilograms of bananas is $12. What is the cost of 12 kilograms of bananas?
A) 1
B) 2
C) 3
D) 4
16. Cy has 50 nickels and 100 dimes. Nickels make up what fraction of the total value of Cy’s 150 coins?
请在装订线内签名表示你同意遵守以上规定。
考前注意事项： 1. 本试卷是五年级试卷，请确保和你的参赛年级一致； 2. 本试卷共 4 页(正反面都有试题)，请检查是否有空白页，页数是否齐全； 3. 请确保你已经拿到以下材料：
本试卷(共 4 页，正反面都有试题)、答题卡、答题卡使用说明、英文词汇手册、 草稿纸。试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。 4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一 半题目的学生就应该受到表扬和鼓励。
A) 2010
B) 2010.5
C) 2011
D) 2031.5
第 1 页，共 4 页
7. Ken rode his bicycle with Kurt and Liz last Sunday. Ken rides with Kurt on every 4th day and on no others. Ken rides with Liz on every 6th day and on no others. What is the first day after last Sunday on which Ken will ride with both Kurt and Liz?
城市
区
பைடு நூலகம்考号
所在学校
年级
姓名(签名)
………………………………………………装……………………………………………订……………………………………………线…………………………………………………………… ……………………………………装…………………订…………………线…………………内…………………不…………………答…………………题………………………………………
A) 8
B) 9
C) 10
D) 11
14. What is ten million divided by ten thousand?
A) ten
B) one hundred
C) one thousand
D) ten thousand
15. The number of different prime numbers that divide 81 is
A) 14
B) 16
C) 18
D) 20
3. 12019 + 12020 =
A) 0
B) 1
C) 2
D) 4
4. Mary earns $50 per week, after taxes, working part-time at a hardware store. Her weekly budget allots $14 for paying back a loan, $16 for miscellaneous expenses, and the rest for savings. Based on this budget, what is fewest number of weeks that it will take her to save $450?
2019-2020 年度美国“大联盟”(Math League)思维探索活动第一阶段
(五年级) (活动日期：2019 年 11 月 24 日，答题时间：75 分钟，总分：175 分)
学生诚信协议：答题期间，我确定没有就所涉及的问题或结论，与任何人、用任何方式交流或讨论， 我确定我所填写的答案均为我个人独立完成的成果，否则愿接受本次成绩无效的处罚。
C) 2020 m
D) 20 020 m
10. If 50% of a number is 20, what is 20% of the same number?
A) 2
B) 4
C) 8
D) 10
11. An isosceles triangle has exactly one side of length 10. If its perimeter is 28, what is the length of one of its other sides?
A) Wednesday
B) Thursday
C) Friday 8. 555 – 444 + 333 – 222 + 111 =
A) 2 ×111
D) Saturday B) 3 ×111
C) 4 ×111 9. 20 km + 20 m =
A) 22 km
D) 5 ×111 B) 20.2 km
A) 20
B) 22
C) 23
D) 24
5. Which of the following is not the product of exactly three different prime factors?
A) 30
B) 70
C) 105
D) 175
6. What is the average of 2001, 2002, 2010, 2011, 2019, and 2020?
A) 8
B) 9
C) 10
D) 18
12. The area of a square is 64. The perimeter of the square is?
A) 8
B) 16
C) 32
D) 64
13. When shooting baskets, Kyle makes his first basket but then misses 9 in a row. What is the minimum number of additional shots he must take to achieve an equal number of baskets and misses?