Sixth Grade Test - Excellence in Mathematics Contest - 2007
1.
The title of this competition is the “The 10th Prime Contest”. What is the 10th prime number?
A. 23
2.
8.
B. $5.20
B. 1887
B. 2.4
B. 1 thousand
A. 20
B. 42
D. 168
E. 336
E. 375
C. $5.30
D. $5.40
E. $5.50
C. 1857
D. 1863
E. 1867
C. 2.8
D. 3
E. 3.2
C. 1 million
D. 1 billion
C. 84
E. 1 trillion
28 cm
12 cm
What is the sum of the two prime numbers between 30 and 40?
B. 68
C. 70
D. 72
E. 76
The temperature in Juneau at 6 PM was –7o Fahrenheit. For five straight days, the temperature
dropped 5o at night, then rose 8o during the day. After the fifth increase, what was the
temperature in Juneau?
A. –22o
10.
D. 300
What is the area, in square centimeters, of the shaded region?
A. 66
9.
C. 225
What does “one million times one billion divided by one trillion” equal?
A. 1
7.
B. 200
The weight of a box with 30 identical chocolates is 21 ounces. When 6 chocolates are removed
and eaten, the weight of the box and remaining chocolates is 17.4 ounces. In ounces, what is the
weight of the empty box?
A. 2.2
6.
E. 37
“Four score and seven years” after 1776, President Lincoln gave his famous speech at the
Gettysburg battlefield in Pennsylvania. Given that a ‘score’ represents 20 years, in what year was
the Gettysburg Address given?
A. 1787
5.
D. 31
A 2.5 pound fish costs $8.50. At the same unit cost, how much does a 1.5 pound fish cost?
A. $5.10
4.
C. 29
The total value of 750 dimes equals the total value of how many quarters?
A. 150
3.
B. 27
B. –2o
C. 2o
D. 8o
E. 18o
From 1:40 PM to 3:20 PM, how many degrees does the minute hand of a clock rotate through?
A. 240o
B. 360o
C. 420o
D. 480o
E. 600o
Sixth Grade Test - Excellence in Mathematics Contest - 2007
11.
12.
2
3
Evaulate:
1
1
6
A. 7/6
2
C. 2/5
D. 6/5
E. 8/5
The Davis’ house had 1200 square feet of living space before they added on a 20 foot by 15 foot
rectangular room. By what percent had their amount of living space increased?
A. 2.9%
13.
B. 5/6
B. 10%
C. 12.5%
D. 20%
E. 25%
In feet and inches, the heights of the starting five of the 2006-7 St. Louis University men’s
basketball team are:
65; 610; 59; 62; 64
In inches, what is their average height?
A. 73
14.
15.
A. 33%
B. 35%
D. 43%
E. 53%
C. 38%
B. 32
C. 33
D. 34
E. 35
B. 26¢
C. 27¢
D. 28¢
E. 29¢
Sharon’s age is 11 years more than a perfect cube and 11 years less than a perfect square.
What is the least number of years until her age is a perfect cube?
B. 15
C. 26
D. 37
E. 87
D. 5
E. 6
How many odd numbers are positive factors of 90?
A. 2
19.
E. 76.2
With exactly 8 coins, each a penny, a nickel, or a dime, their total CANNOT be:
A. 11
18.
D. 76
How many odd numbers between 0 and 100 are not multiples of 3?
A. 25¢
17.
C. 75.6
A target consists of four concentric squares of side lengths 1, 3, 5, and 7.
What per cent of the target is shaded? Round to the nearest percent.
A. 17
16.
B. 74.8
B. 3
C. 4
With 120 feet of fence, Anna built a rectangular corral for her horse.
If the width of the corral is 25 feet, what is the area of the corral in square feet?
A. 875
B. 1200
C. 1750
D. 2375
E.
3000
Sixth Grade Test - Excellence in Mathematics Contest - 2007
20.
Find the largest 3-digit multiple of 9 which does not contain the digit 9.
What is the product of its three digits?
A. 72
21.
22.
B. 75
A. 25.5
B. 26
D. 27
E. 28
B. 74,466
B. 11
C. 745
D. 74
E. 7.4
C. 12
D. 13
E. 14
Today is Saturday, March 17, 2007. The Fourth of July is 109 days away. On what day of the
week is July 4, 2007?
B. Monday
C. Tuesday
D. Wednesday
E. Thursday
A bag contains only red marbles and green marbles. There are 30 green marbles in the bag.
If the probability of selecting one red marble at random is 3/5, how many red marbles are in the
bag?
A. 12
26.
C. 26.5
The product of three whole numbers is 36 (two of the numbers used could be the same).
What is the least possible sum of these three numbers?
A. Sunday
25.
E. 256
If the United States population of 302 million grows by 0.9% in 2007, what would be the average
daily increase in population in 2007? Select the closest answer.
A. 10
24.
D. 128
In square units, what is the area of this triangle?
A. 7,447
23.
C. 76
B. 18
C. 42
D. 45
E. 50
The area of a rectangle is 48 square feet. In feet, its width and length are whole numbers. What
is the difference between the greatest possible perimeter and the least possible perimeter of this
rectangle?
A. 20 feet
B. 24 feet
C. 60 feet
D. 66 feet
E. 70 feet
27.
0
B
1
On this number line, what number is B?
A. 1/4
B. 1/6
C. 1/5
D. 2/11
1
2
E. 1/3
Sixth Grade Test - Excellence in Mathematics Contest - 2007
28.
A license plate consists of two letters followed by three digits, for example, ZX449.
If the letter “O” and the digit “0” are not allowed, but repetition of letters and numbers are
allowed, how many different license plate numbers are possible?
A. 302,400
29.
30.
A. 114.2
B. 172.7
D. 274.2
E. 1056.6
33.
E. 676,000
C. 214.2
B. 13.5 mph
C. 14 mph
D. 15 mph
E. 16.5 mph
In how many different ways can 40 cents be made using any combination of nickels, dimes, and
quarters? (A solution is allowed to include none of one or two types of coins.)
B. 6
C. 7
These two fair spinners, divided into fourths and thirds,
are each spun once. What is the probability that
the product of the two numbers spun is even?
A. 1/2
B. 7/12
D. 5/6
E. 11/12
C. 3/4
D. 8
E. 10
6
3
5
8
2
3
4
How many square numbers less than 1,000,000 have a units’ digit of 4?
A. 50
34.
D. 582,225
In a practice for a triathlon, Frazz bikes 18 miles in 45 minutes and then runs half as far in twice
the time. What is his average speed for this practice?
A. 5
32.
C. 540,500
A square is inscribed in a circle. If the diameter of the circle is 20 cm,
what is the area of the shaded region?
Round to the tenth of a square centimeter.
A. 12 mph
31.
B. 455,625
B. 100
C. 200
D. 250
E. 500
A sidewalk of width w is built around a square public swimming pool
such that the area of the pool and the area of the sidewalk are equal.
If the area of the pool is 400 square meters, what is the width w?
Round your answer to the nearest tenth of a meter.
A. 3.2
B. 3.5
D. 4.4
E. 4.6
C. 4.1
w
Sixth Grade Test - Excellence in Mathematics Contest - 2007
35.
36.
In this addition problem, each letter represents a different digit from 0 through 9.
Compute the sum L+I+V.
A. 13
B. 15
D. 17
E. 20
A. 24
+
I
V
I
L
L
B. 8434 feet
C. 9350 feet
D. 9622 feet
E. 9720 feet
B. 83,850
C. 83,905
D. 83,955
E. 84,000
2
B. 30
3
3
C. 33
4
D. 39
E. 120
The first four elements of a sequence are: 7, 11, 4, –7,… Each new element is obtained by
subtracting the 2nd to last element from the last element. For example, the 4th element is –7
because: 4 – 11 = –7. What is the 2007th element of this sequence?
A. 4
40.
L
How many different 3-digit numbers can be made using any three of these five digits?
Note that up to two 3’s are allowed; but only one of the other digits.
1
39.
I
Using the five digits 5, 6, 7, 8, and 9, without repetition, form a 3-digit number and a 2-digit
number so that their product is as large as possible. What is that product?
A. 82,025
38.
L
At 8:00 AM, Abang begins climbing Mount Kinabalu at the Timpohon gate at an elevation of
5900 feet. At 11:00 AM, his friend Taha begins descending from Laban Rata hut on Mount
Kinabalu at 10,800 feet . In terms of change in elevation, Abang’s constant uphill speed is 15
feet per minute, while Taha walks down at 29 feet per minute. At what elevation will they meet?
A. 8350 feet
37.
C. 16
B. –4
C. 7
In this Magic Square, the sum of the three numbers
in each row and in each column is the same.
What is the value of B–C?
A. 5
B. –5
D. –9
E. Cannot be determined
C. 9
D. –7
E. –11
A
B
8
B
13
–3
E
8C
D
F