Math League 7th 2021真题

1. 2000 + 200 + 20 + 2 -  ?  = 2021.

A) 1    B) 11    C) 21    D) 201

2. A team has bags with 3 bats and 9 baseballs

in each. If there are 18 more baseballs than

bats in the bags, the total number of balls is

A) 27    B) 36    C) 48     D) 54

3. Which of the following is not equal to 0.5?

A) 0.50    B)     C)     D) 50%

4. 2020 m = 1km +  ?  m.

A) 1020    B) 2202    C) 2222    D) 2244

5. 1/2 ÷ 1/4 ÷ 1/8 = 1/16 ÷ 1/32 ÷  ? .

A) 1/2    B) 1/8    C) 1/32    D) 1/64

6. In each classroom in my school there are 6 groups of chairs, with 3 chairs per group. If there are 270 chairs in all, there are ?  classrooms.

A) 15    B) 30     C) 45    D) 90

7. How many numbers between 100 and 200 are multiples of 9?

A) 9    B) 10    C) 11     D) 12

8. When rounded to the nearest tenth, 2021 ÷ 1000 =

A) 2.0    B) 2.02    C) 20.2    D) 20.21

9. Which of the following has the fewest factors of 2?

A) 2000    B) 2200    C) 2220    D) 2222

10. The base of an isosceles triangle with integral sides is 10. What could be the perimeter?

A) 19    B) 20    C) 21     D) 22

11. On a 35-question test, Pat correctly answered 2/5 of the first 10 questions and all the remaining ones. Pat answered  ?  of the 35 questions correctly.

A) 14    B) 25    C) 29    D) 31

12. Emma counted up from 0 by 1s every second for 6 minutes, and then down by 1s every second for 2 minutes. What number did she end on?

A) 120    B) 240    C) 360    D) 480

13. Which of the following expressions is dosest to 0?

A) 0.2 - 0.1   B) 0.21 - 0.12   C) 0.56 - 0.55   D) 0.661 - 0.599

14. Beginning at 5:00 AM, my sprinkler turns on for 20 minutes, then

turns off for 5 minutes, turns on again for 20 minutes, and then

turns off again for 5 minutes. If my sprinkler continues this same

pattern all morning, the water is off at

A) 8:06 AM    B) 9:06 AM    C) 10:06 AM    D) 11:06 AM

15. I practice catching footballs for 72 minutes every day.

For what fraction of each day do I practice?

A) 1/3    B) 5/144     C) 1/18    D) 1/20

16. Which expression is least?

A) 520 ÷ 620    B) 521 ÷ 621    C) 522 ÷ 623    D) 523 ÷ 622

17. If my watch is accurate on New Year's Day but it loses 1 second per day, what month will it be when the watch is 12 minutes behind ?

A) January   B) June    C) July     D) December

18. The product of 5.125 and  ?  is a whole number.

A) 5555    B) 6666    C) 7777    D) 8888

19. 2020 is divisible by  ?  different prime numbers.

A) 2     B) 3      C) 4      D) 5

20. Sally Speedster read 80 pages of a book at

2 pages each minute, and then 20 pages at 1

page each minute. On average, how many of

the 100 pages did Sally read each minute?

A) 3/2    B) 8/5    C) 5/3     D) 7/4

21. The smallest whole number that is divisible by 7 and leaves a

remainder of 1 when divided by 2 and by 5 is between

A) 0 and 25   B) 26 and 50   C) 51 and 75   D) 76 and 100

22. 50% of 50% = one quarter of

A)     B)     C) 1    D) 25%

23. Which of the following numbers has the most divisors?

A) 49   B) 64    C) 72    D) 81

24. 

A)    B) 42     C) 52     D)

25. On a Sunday, 1547 beach balls were distributed among all the area beaches. If each beach had the same number of balls, there could be

A) 21 beaches   B) 35 beaches   C) 57 beaches   D) 91 beaches

26. I have exactly 15 coins, each of which is a nickel, dime, or quarter. If I have exactly 2 dollars, I have at least  ?  quarters.

A) 4    B) 5    C) 6    D) 7

27. In 50 minutes of dance time, Mo and Jo danced

together for only 30 seconds! Mo and Jo danced

together for  ?  percent of the dance time.

A) 1    B) 5    C) 6    D) 10

28. The 2021st digit after the decimal in the decimal expansion of 1 ÷ 7 is

A) 1    B) 2    C) 4    D) 5

29. I bowled four games and averaged 130 points per game. If l ignore my lowest game, my average was 140. If no two games had the same score, what is the highest single game score I could have

bowled?

A) 150    B) 169    C) 197    D) 217

30. The sum of the reciprocals of 3 and 4 is

A) 1/7    B) 1/5    C) 7/12    D) 12/5

31. A rhombus has an angle that has twice the measure of an adjacent angle. What is the measure of the smaller angle?

A) 45°    B) 60°    C) 72°    D) 120°

32. Zoe starts on the top rung of a 16-rung ladder and Dafne starts on the bottom rung. Every minute, Zoe climbs down 5 rungs and then

climbs up 4 rungs while Dafne climbs up 3 rungs and then down 2

rungs. During which minute will they first touch the same rung?

A) 2nd    B) 5th    C) 7th    D) 8th

33. The larger angle between the minute hand and the hour hand of a circular clock at 1:10 PM measures

A) 300°   B) 315°    C) 330°    D) 335°

34. How many prime numbers less than 100 have reciprocals that are terminating decimals?

A) 1     B) 2    C) 3     D) 4

35. When 280 is written as a decimal, the sum of its tens and ones digits is

A) 9    B) 11    C) 13    D) 15