NRP Math Challenge Club
Level One Countdown Round Questions
1. How many lines of symmetry does a square have?
2. What is the greatest common factor between the numbers 36 and 84?
3. Find the mode of this data set: {2,4,9,2,65,3,1,6}
4. What is the least common multiple between 12 and 24?
5. A car drives 60 mph for 5 hours, but on the return trip, only drives 40mph. What is the car’s
average speed?
6. If I roll a fair standard six sided die, what is the probability that I get a prime number?
7. What is the product of the prime numbers that are less than 10?
8. What is the probability of flipping two coins and getting both heads?
9. What is the 16th digit after the decimal point in the repeating decimal 0.47314731 ...?
10. A regular pentagon has side length 5. What is its perimeter?
11. Right now it is 5:34 PM. In 49 hours and 42 minutes, what time is it? Include AM/PM in your
answer.
12. There is a right triangle with legs 5 and 12. What is the length of its hypotenuse?
13. What is the sum of the exterior angles of a square?
14. I throw a stack of 5 cards labeled ‘A’, ‘B’, ‘C’, ‘D’, and ‘E’ on the ground. I randomly pick them
up. What is the probability that I pick them up in alphabetical order?
15. What number is the largest even prime number?
16. How many factors does 100 have?
17. How many prime numbers are there between 50 and 60?
18. How many ways are there to choose two people to be president and vice president out of a
group of 10 people?
19. Today is a Monday, what day of the week is it 1982 days from now?
20. What is the sum of the first 5 prime numbers?
21. How many distinct factors does 99 have?
22. What is the area of a triangle with side length 6,8, and 10?
23. A perfect number is a number whose factors sum to itself. The first perfect number is 6, as 1
plus 2 plus 3 is 6. What perfect number lies between 25 and 30?
NRP Math Challenge Club
24. How many degrees does the minute hand of a clock move over 50 minutes?
25. Lewis can write 8 songs every day. For a week he writes songs. On the 3rd night of that week,
Lewis gets sick and can only write 4 songs a day for the rest of the days in the week. How
many songs did he produce over that week?
26. A fruit is randomly chosen from a basket of apples and oranges. If the probability that an apple
is drawn is
2
5
and there are 60 fruits in the basket, how many oranges are there?
27. What is the sum of the interior angles in a hexagon?
28. What is the cube root of 8?
29. Evaluate: 17 × 25 × 33
30. If 𝑥 = −0.5 and 𝑦 = −0.75, what is the value of 2𝑥 − 4𝑦?
31. What is the largest prime number that divides 120?
32. Steven can write a math problem in two minutes and Matthew can write two problems in three
minutes. How many more problems does Matthew write than Steven in half an hour?
33. The two digit number 𝐴𝐵 (𝐴 and 𝐵 represent digits) is divisible by 2, 3, 4, 5, and 6. What is the
value of 𝐴 + 𝐵?
34. How many positive factors do 24 and 32 have in common?
9
15
35. What is the arithmetic mean of 3, , and
?
4
7
36. What is the height of the trapezoid with base lengths of 5 and 7 and an area of 24?
37. What is the sum of the first 5 squares, starting with 1?
38. There are 40 blue and 60 red balls in a basket. If Steven selects one ball from this basket,
what is the probability that the ball will be red?
39. What is the product of the least common multiple and the greatest common factor of 25 and
78?
40. Find the surface area of a rectangular prism with width = 6, length = 5, and height = 10.
41. Steven and Matthew each flipped a coin. What is the probability that Steven will get heads,
and Matthew, tails?
NRP Math Challenge Club
42. Steven bought a mechanical pencil using a $5 bill and received a change of $1.25. Irving
bought a pen using three $1 bills and received a change of $0.75. How much more does the
mechanical pen cost than the pen?
43. How many integers between 5 and 25 are multiples of 2 or 3, but not both?
44. 100 participants are shaking hands with each other. If only one handshake can occur per two
participants, what is the total number of handshakes that can occur?
45. What is the largest two-digit integer that is a multiple of 7?
46. What is the smallest prime number greater than 40?
47. What is the sum of the positive integer factors of 8?
48. How many prime numbers are less than 12?