Math League 6th 2021真题

1. (2021÷4) + (2021÷4) + (2021÷4) + (2021÷4) =

A) 2020 B) 2021 C) 2022 D) 8084

2. Kirok the dragon has 2021 scales on his neck, 3031 scales on his wings, and 5051 scales on the rest of his body. What is the total number of scales on Kirok's body?

A) 1013 B) 7073 C) 10 103 D) 100 103

3. What is the remainder when (5+55+555+5555) is divided by 5?

A) 0 B) 1 C) 4 D) 1234

4. Four out of every five dentists recommend HiGlo toothpaste. If I

ask 120 dentists whether they would recommend HiGlo toothpaste, how many of the dentists will recommend it?

A) 24 B) 30 C) 90 D) 96

5. What is the perimeter of a square that has an area of 100?

A) 10 B) 40 C) 100 D) 400

6.10 × 20 × 30 = 60 × ?

A) 1 B) 10 C) 100 D) 1000

7. Each angle of a rectangle is ? degrees greater than each angle of

an equilateral triangle.

A) 30° B) 60° C) 90° D) 120°

8. It is 2021 hours after midnight. What time is it?

A) 5 AM B) 7AM C) 5 PM D) 7 PM

9. If 30% of a number is 60, what is 60% of the same number?

A) 30 B) 90 C) 120 D) 150

10. As he rides, Sir Reginald von Prime is going to

plant a flag every time the total distance he has ridden is a prime number of km. How far will he have gone when he plants his 10th flag?

A) 23 km B) 27 km C) 29 km D) 31 km

11. The greatest common factor of 23 x 32 and 33 x 52 is

A) 3 B) 32 C) 33 D) 35

12. How many 2-digit odd numbers do not have 3 as either digit?

A) 32 B) 36 C) 40 D) 44

13.My average score on the 3 tests I've taken so far is 88. What score do l have to get on the next test to raise my average score to 90?

A) 92 B) 94 C) 95 D) 96

14. Nan knits new tops for newborns. Today she knit one more top than yesterday. The number of tops she knit in the two days combined could be

A) 12 B) 23 C) 34 D) 100

15. 12 dozen socks = ? pairs of socks

A) 24 B) 36 C) 72 D) 144

16. A boy is in line with 20 people behind him and twice as many

ahead of him. How many people are in this line?

A) 30 B) 31 C) 60 D) 61

17. If the sum of 6 consecutive integers is 243, what is the sum of the

greatest and the least of the integers?

A) 38 B) 43 C) 81 D) 85

18. Paola ran the 100 m from her door to the bus in 15 seconds. What was her speed in km/hr?

A) 12 B) 14 C) 16 D) 24

19. What is the product of all the positive divisors of 36?

A) 36 B) 4 × 362 C) 6 × 364 D) 365

20. In 30 years my age will double, my sister's age will triple, and my

brother's age will quadruple! What is the sum of our ages now?

A) 32.5 B) 55 C) 90 D) 100.5

21. The greatest prime factor of the number of seconds in 1331 hours is

A) 11 B) 13 C) 17 D) 19

22. In the country of Latka, 6 simkas are worth 25 ibidas and 2 ibidas

are worth 15 yatabes. If I pay 12 simkas for a chicken that is priced at 365 yatabes, how many yatabes should I expect in change?

A) 10 B) 12 C) 13 D) 15

23. A lighthouse can be seen from at most 50 km on a

clear night but from at most 20 km during fog. The greatest viewing distance on a clear night is what percent of the greatest during fog?

A) 40 B) 60 C) 150 D) 250

24. What is the greatest possible number of points of intersections of a circle and a rectangle?

A) 2 B) 4 C) 6 D) 8

25. How many squares of integers have 3 digits?

A) 20 B) 21 C) 22 D) 23

26. Al writes the first 20% of his report on Monday,

then 30% of the remaining report on Tuesday.

What percent of the entire report that Al began

on Monday remains to be written on Wednesday?

A) 44% B) 50% C) 54% D) 56%

27. 42 × 44 × 48 x 416 =

A) 260 B) 41024 C) 1630 D) 6430

28. Zak shuffled together four decks of cards and started dealing them out. The suits came out in a pattern that repeated as follows until the 26th club appeared: club, diamond, heart, club, heart, diamond, club, diamond, heart, club, heart, diamond, . . . . How many cards must Zak deal in order to have dealt 26 of the club suit?

A) 75 B) 76 C) 78 D) 84

29. My local ice cream shop offers 20 different flavors of ice cream. If I want two scoops of ice cream, each scoop a different flavor, how many combinations of two scoops of ice cream are possible?

A) 39 B) 40 C) 190 D) 380

30. Inez multiplied 21 by the product of 21 21s. Then she subtracted 21 from that product 2121 times. With what number did she end up?

A) 0 B) 2120 C) 2121 + 212 D) 2122 - 212

31. What is the greatest number of prime factors (not necessarily all

different) that a three-digit number can have?

A) 5 B) 6 C) 8 D) 9

32. How many of the first 2021 even positive integers are divisible by 6?

A) 336 B) 337 C) 673 D) 674

33. Maestro must be able to divide the birds in his all-bird choir into 6, 7, and 8 equal groups. He wants a 3-digit total number of birds. In all, how many such 3-digit numbers are possible?