Level One Countdown Round
Question 1
 How many lines of symmetry does a square have?
Question 1
 How many lines of symmetry does a square have?
 Answer: 4
Next Question…
Question 2
 What is the greatest common factor between the
numbers 36 and 84?
Question 2
 What is the greatest common factor between the
numbers 36 and 84?
 Answer : 12
Next Question…
Question 3
 Find the mode of this data set: {2,4,9,2,65,3,1,6}
Question 3
 Find the mode of this data set: {2,4,9,2,65,3,1,6}
 Answer : 2
Next Question…
Question 4
 What is the least common multiple between 12
and 24?
Question 4
 What is the least common multiple between 12
and 24?
 Answer : 24
Next Question…
Question 5
 A car drives 60 mph for 5 hours, but on the return
trip, only drives 40mph. What is the car’s average
speed?
Question 5
 A car drives 60 mph for 5 hours, but on the return
trip, only drives 40mph. What is the car’s average
speed?
 Answer : 48 mph
Next Question…
Question 6
 If I roll a fair standard six sided die, what is the
probability that I get a prime number?
Question 6
 If I roll a fair standard six sided die, what is the
probability that I get a prime number?
 Answer : ½
Next Question…
Question 7
 What is the product of the prime numbers that are
less than 10?
Question 7
 What is the product of the prime numbers that are
less than 10?
 Answer : 210
Next Question…
Question 8
 What is the probability of flipping two coins and
getting both heads? .
Question 8
 What is the probability of flipping two coins and
getting both heads? .
 Answer : ¼
Next Question…
Question 9
 What is the 16th digit after the decimal point in
the repeating decimal 0.47314731 ...?
Question 9
 What is the 16th digit after the decimal point in
the repeating decimal 0.47314731 ...?
 Answer : 1
Next Question…
Question 10
 A regular pentagon has side length 5. What is its
perimeter?
Question 10
 A regular pentagon has side length 5. What is its
perimeter?
 Answer : 25
Next Question…
Question 11
 Right now it is 5:34 PM. In 49 hours and 42
minutes, what time is it? Include AM/PM in your
answer.
Question 11
 Right now it is 5:34 PM. In 49 hours and 42
minutes, what time is it? Include AM/PM in your
answer.
 Answer : 7:16 pm
Next Question…
Question 12
 There is a right triangle with legs 5 and 12. What is
the length of its hypotenuse?
Question 12
 There is a right triangle with legs 5 and 12. What is
the length of its hypotenuse?
 Answer : 13
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Question 13
 What is the sum of the exterior angles of a square?
Question 13
 What is the sum of the exterior angles of a square?
 Answer : 360 degrees
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Question 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?
Question 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?
 Answer
1
:
120
Next Question…
Question 15
 What number is the largest even prime number?
Question 15
 What number is the largest even prime number?
 Answer : 2
Next Question…
Question 16
 How many factors does 100 have?
Question 16
 How many factors does 100 have?
 Answer : 9 factors
Next Question…
Question 17
 How many prime numbers are there between 50
and 60?
Question 17
 How many prime numbers are there between 50
and 60?
 Answer : 2 prime numbers
Next Question…
Question 18
 How many ways are there to choose two people to
be president and vice president out of a group of 10
people?
Question 18
 How many ways are there to choose two people to
be president and vice president out of a group of 10
people?
 Answer : 90 ways
Next Question…
Question 19
 Today is a Monday, what day of the week is it 1982
days from now?
Question 19
 Today is a Monday, what day of the week is it 1982
days from now?
 Answer : Tuesday
Next Question…
Question 20
 What is the sum of the first 5 prime numbers?
Question 20
 What is the sum of the first 5 prime numbers?
 Answer : 28
Next Question…
Question 21
 How many distinct factors does 99 have?
Question 21
 How many distinct factors does 99 have?
 Answer : 6 factors
Next Question…
Question 22
 What is the area of a triangle with side length 6,8,
and 10?
Question 22
 What is the area of a triangle with side length 6,8,
and 10?
 Answer : 24
Next Question…
Question 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?
Question 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?
 Answer : 28
Next Question…
Question 24
 How many degrees does the minute hand of a
clock move cover 50 minutes?
Question 24
 How many degrees does the minute hand of a
clock move cover 50 minutes?
 Answer : 300 degrees
Next Question…
Question 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?
Question 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?
 Answer : 40 songs
Next Question…
Question 26
 A fruit is randomly chosen from a basket of apples
and oranges. If the probability that an apple is
2
5
drawn is and there are 60 fruits in the basket,
how many oranges are there?
Question 26
 A fruit is randomly chosen from a basket of apples
and oranges. If the probability that an apple is
2
5
drawn is and there are 60 fruits in the basket,
how many oranges are there?
 Answer : 36 oranges
Next Question…
Question 27
 What is the sum of the interior angles in a
hexagon?
Question 27
 What is the sum of the interior angles in a
hexagon?
 Answer : 720 degrees
Next Question…
Question 28
 What is the cube root of 8?
Question 28
 What is the cube root of 8?
 Answer : 2
Next Question…
Question 29
 Evaluate: 17 × 25 × 33
Question 29
 Evaluate: 17 × 25 × 33
 Answer : 864
Next Question…
Question 30
 If 𝑥 = −0.5 and 𝑦 = −0.75, what is the value of 2𝑥 −
4𝑦?
Question 30
 If 𝑥 = −0.5 and 𝑦 = −0.75, what is the value of 2𝑥 −
4𝑦?
 Answer : 2
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Question 31
 What is the largest prime number that divides 120?
Question 31
 What is the largest prime number that divides 120?
 Answer : 5
Next Question…
Question 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?
Question 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?
 Answer : 5 more problems
Next Question…
Question 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?
Question 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?
 Answer : 6
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Question 34
 How many positive factors do 24 and 32 have in
common?
Question 34
 How many positive factors do 24 and 32 have in
common?
 Answer : 4 factors
Next Question…
Question 35
 What is the arithmetic mean of 3,
9
,
4
and
15
7
?
Question 35
 What is the arithmetic mean of 3,
 Answer :
69
28
9
,
4
and
15
7
?
Next Question…
Question 36
 What is the height of the trapezoid with base
lengths of 5 and 7 and an area of 24?
Question 36
 What is the height of the trapezoid with base
lengths of 5 and 7 and an area of 24?
 Answer : 4
Next Question…
Question 37
 What is the sum of the first 5 squares, starting
with 1?
Question 37
 What is the sum of the first 5 squares, starting
with 1?
 Answer : 55
Next Question…
Question 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?
Question 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?
 Answer
3
:
5
Next Question…
Question 39
 What is the product of the least common multiple
and the greatest common factor of 25 and 78?
Question 39
 What is the product of the least common multiple
and the greatest common factor of 25 and 78?
 Answer : 1950
Next Question…
Question 40
 Find the surface area of a rectangular prism with
width = 6, length = 5, and height = 10.
Question 40
 Find the surface area of a rectangular prism with
width = 6, length = 5, and height = 10.
 Answer : 280
Next Question…
Question 41
 Steven and Matthew each flipped a coin. What is
the probability that Steven will get heads, and
Matthew, tails?
Question 41
 Steven and Matthew each flipped a coin. What is
the probability that Steven will get heads, and
Matthew, tails?
 Answer : ¼
Next Question…
Question 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?
Question 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?
 Answer : $1.50
Next Question…
Question 43
 How many integers between 5 and 25 are multiples
of 2 or 3, but not both?
Question 43
 How many integers between 5 and 25 are multiples
of 2 or 3, but not both?
 Answer : 9
Next Question…
Question 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?
Question 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?
 Answer : 4950 handshakes
Next Question…
Question 45
 What is the largest two-digit integer that is a
multiple of 7?
Question 45
 What is the largest two-digit integer that is a
multiple of 7?
 Answer : 98
Next Question…
Question 46
 What is the smallest prime number greater than
40?
Question 46
 What is the smallest prime number greater than
40?
 Answer : 41
Next Question…
Question 47
 What is the sum of the positive integer factors of
8?
Question 47
 What is the sum of the positive integer factors of
8?
 Answer : 15
Next Question…
Question 48
 How many prime numbers are less than 12?
Question 48
 How many prime numbers are less than 12?
 Answer : 5
The End