Pensacola Invitational 2014: April 12, 2014
Math I Individual Test
You have 50 minutes to complete this test. Select the best answer to each question.
The choice e) NOTA" denotes "None of the Above."
Remember, these questions are meant to be challenging even for top students. Good luck!
1) What is the remainder when 64 is divided by 6?
a) 0
b) 3
c) 4
d) 5
e) NOTA
d) 9
e) NOTA
d) −1
e) NOTA
d) 235
e) NOTA
d) 900,001
e) NOTA
d) 3
e) NOTA
d) 336
e) NOTA
2) What is two thirds divided by one sixth?
a)
3) Simplify:
1
b) 4
9
c)
1
4
2−4(6−3)
4
a) −
11
2
b) −
5
2
c)
−
3
2
4) What is the quotient of 236 and 4?
a) 59
b) 60
c) 61
5) Which of the following numbers is divisible by 3?
a) 235,412
b) 729,345
c) 890,218
6) What is the tenths digit divided by the tens digit of 732.94?
a)
1
3
b)
9
2
c) 2
7) What is the least common multiple of 6, 7, and 8?
a) 42
b) 56
c) 168
8) Each minute, four cookies are eaten. If at 2:00 PM there are 60 cookies, how many cookies
were there an hour earlier at 1:00 PM?
a) 60
b) 200
c) 240
d) 300
e) NOTA
Pensacola Invitational 2014: April 12, 2014
Math I Individual Test
9) Edward is making a new rectangular patio that is 30 feet long and 18 feet wide. He buys tiles
with dimensions 2 feet by 2 feet. How much money will it cost him to build the patio if each tile
is 10 dollars?
a) $135
b) $540
c) $1350
d) $5400
e) NOTA
10) A bat eats 10 flies on Monday night. He always eats 5 more flies than the night before. How
many flies has the bat eaten in total after Friday night?
a) 50
b) 70
c) 125
d) 150
e) NOTA
11) Today is Saturday. What day of the week will it be 90 days after today?
a) Friday
b) Saturday
c) Sunday
d) Monday
e) NOTA
12) Let A=3.41, B=0.57, and C=5.86. Ivy performs three operations: A − B, A + B, and C − B.
After each operation, she rounds her answer to the nearest tenth decimal place. Then, she adds all
three answers and rounds it to the nearest whole number. What is her final answer?
a) 10
b) 11
c) 12
d) 13
e) NOTA
13) Robert is making a cubic cake with a volume of 27 cm3 . He decides to remove a layer 1 cm
thick off the top of the cake. What is the new volume of the cake in cm3 ?
a) 9
b) 18
c) 24
d) 26
e) NOTA
14) What is the surface area of a rectangular prism (in square feet) with dimensions 18 inches by
2 feet by 1 yard? (Hint: 1 foot=12 inches and 3 feet=1 yard)
a) 9 ft 2
b) 13ft 2
c) 26 ft 2
d) 54 ft 2
e) NOTA
15) Sara is filling up her pool that is 12 feet wide and 15 feet long. The water level is currently 4
feet deep. If she adds 360 ft 3 of water, how many feet will the water level increase by?
a) 2
b) 4
c) 6
d) 8
e) NOTA
Pensacola Invitational 2014: April 12, 2014
Math I Individual Test
16) Nadia buys 3 pizzas for $18.63 with a $20 bill. The cashier only has nickels and pennies, and
he gives Nadia as many nickels as possible before giving her pennies. How many coins does
Nadia receive in total?
a) 22
b) 27
c) 29
d) 34
e) NOTA
17) Krisha was able to get a better deal. She buys 4 pizzas for $19.35 with only quarters and
nickels. If she has 71 quarters and receives no money back for change, how many nickels does
she pay with?
a) 33
b) 33
c) 34
d) 35
e) NOTA
18) Thirteen people are in a pet store. Every 30 minutes, 2 people leave. Every 45 minutes, 4
new people walk in. How many people are in the pet store after 3 hours?
a) 4
b) 13
c) 16
d) 28
e) NOTA
19) The Pythagorean Theorem states that a2 + b2 = c 2 . If c= 17 and a= 8, what is b?
a) 9
b) 15
c) 16
d) 25
e) NOTA
20) The first 8 numbers of the Fibonacci Sequence are {1, 1, 2, 3, 5, 8, 13, 21}. How many of
these numbers are prime?
a) 2
b) 3
c) 4
d) 5
e) NOTA
21) What is the sum of the mean, median, and mode of the following data set:
{2, 6, 4, 3, 2, 9, 2}
a) 7
b) 8
c) 9
d) 10
e) NOTA
22) If the mean is equal to 3, find the missing value of the data set:
{2, 5, X}
a) 2
b) 3
c) 4
d) 5
e) NOTA
Pensacola Invitational 2014: April 12, 2014
Math I Individual Test
23) What is the sum of all prime factors of 96 (do not include 1)?
a) 10
b) 13
c) 14
d) 15
e) NOTA
24) Jenny flips a coin: heads or tails. Then, she rolls a 6-sided dice: 2 sides are orange, 2 sides
are purple, and 2 sides are green. What is the probability she flips a heads and rolls a purple?
a)
1
3
b)
2
3
c)
5
6
d)
1
6
e) NOTA
25) A small ferry boat takes exactly 3 people across a river every 5 minutes. Jett is the 8th person
in line waiting. If his position in line ever becomes an odd number, he switches position with the
person behind him. How many minutes does it take for Jett to get on the ferry?
a) 10
b) 15
c) 20
d) 25
e) NOTA