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Seventh Grade Mathematics Contest - The 10th Prime Contest, Exams of Computer Fundamentals

A seventh grade mathematics contest titled 'the 10th prime contest'. The contest consists of 40 multiple choice questions covering various topics such as arithmetic, geometry, and algebra. The questions are designed to test the mathematical skills and problem-solving abilities of students.

Typology: Exams

Pre 2010

Uploaded on 08/08/2009

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Seventh 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 B. 27 C. 29 D. 31 E. 37
2. The total value of 750 dimes equals the total value of how many quarters?
A. 150 B. 200 C. 225 D. 300 E. 375
3. 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 B. $5.20 C. $5.30 D. $5.40 E. $5.50
4. 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 B. 1887 C. 1857 D. 1863 E. 1867
5. 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 B. 2.4 C. 2.8 D. 3 E. 3.2
6. Let T=1 trillion, H= 1 thousand, M = 1 million, and B = 1 billion. What is the value of
2
2
MB
TH
?
A. 1 B. 103C. 106 D. 109E. 1012
7. At 1:20 PM, a clock’s hour hand is how many degrees from a vertical position?
A. 30oB. 36oC. 40oD. 42oE. 45o
8. What is the average of the first 200 positive integers?
A. 99 B. 99.5 C. 100 D. 100.5 E. 101
9. If x = –0.5, which is the least of these five numbers?
A. x B. x2C. x3D. x4E. x5
10. 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% B. 10% C. 12.5% D. 20% E. 25%
11. A pyramid has a square base and four equilateral triangles as its faces. How many edges does it
have?
A. 6 B. 8 C. 10 D. 12 E. 16
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  1. The title of this competition is the “ The 10th^ Prime Contest ”. What is the 10th^ prime number? A. 23 B. 27 C. 29 D. 31 E. 37
  2. The total value of 750 dimes equals the total value of how many quarters? A. 150 B. 200 C. 225 D. 300 E. 375
  3. 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 B. $5.20 C. $5.30 D. $5.40 E. $5.
  4. 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 B. 1887 C. 1857 D. 1863 E. 1867
  5. 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 B. 2.4 C. 2.8 D. 3 E. 3.
  6. Let T=1 trillion, H= 1 thousand, M = 1 million, and B = 1 billion. What is the value of 2 2

MB

TH

A. 1 B. 103 C. 106 D. 109 E. 1012

  1. At 1:20 PM, a clock’s hour hand is how many degrees from a vertical position? A. 30 o^ B. 36 o^ C. 40 o^ D. 42 o^ E. 45 o
  2. What is the average of the first 200 positive integers? A. 99 B. 99.5 C. 100 D. 100.5 E. 101
  3. If x = –0.5, which is the least of these five numbers? A. x B. x^2 C. x^3 D. x^4 E. x^5
  4. 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% B. 10% C. 12.5% D. 20% E. 25%
  5. A pyramid has a square base and four equilateral triangles as its faces. How many edges does it have? A. 6 B. 8 C. 10 D. 12 E. 16
  1. In feet and inches, the heights of five students are: 4 9 ; 4 11 ; 4 7 ; 5 4 ; 4 7          In inches, what is the positive difference between the mean and the median of these five heights? A. 0.6 B. 0.8 C. 1 D. 1.4 E. 3
  2. How many two-digit prime numbers (for example, 23) can be formed by selecting two digits

(possibly the same) from the set: {1, 2, 3, 4, 5, 6}?

A. 5 B. 6 C. 7 D. 8 E. 9

  1. 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. 33% B. 35% C. 38% D. 43% E. 53%
  2. How many different numbers can be expressed as the sum of exactly three different numbers

from the set {1, 2, 3, 9, 10}?

A. 6 B. 7 C. 8 D. 9 E. 10

  1. In 2006, poor Pluto was demoted and is no longer classified as a “planet”. Assume that Pluto and the Earth are both spheres and that the diameter of Pluto is 2296 km while the diameter of the Earth is 12756 km. The volume of a sphere of radius R is given by:

V 4 R^3

Approximately what is the ratio of the volume of Earth to the volume of Pluto? A. 5.6 B. 31 C. 171 D. 243 E. 1321

  1. 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 B. 75 C. 76 D. 128 E. 256

N

  ; that is,

N

is between 3 and 4. If

N

is a proper reduced fraction, what is the sum of all possible values of N? A. 84 B. 168 C. 184 D. 252 E. 462

  1. With exactly 8 coins, each a penny, a nickel, or a dime, their total CANNOT be: A. 25¢ B. 26¢ C. 27¢ D. 28¢ E. 29¢
  1. Evaluate:

A. 224,070 B. 4,460,800 C. 16,448,

D. 21,286,650 E. 1,129,312,

  1. Two fair spinners are divided into thirds and labeled as shown. If each spinner is spun once, what is the probability that Spinner B shows the larger number? A. 5/9 B. 2/3 C. 7/ D. 8/9 E. 1
  2. In square units, what is the area of this triangle? A. 25.5 B. 26 C. 26. D. 27 E. 28
  3. In 1990, the average age of Tad and his older sister was 6. In 2002, the average age of Tad, his older sister, and their twin brothers was 13. In what year were the twin brothers born? A. 1993 B. 1994 C. 1998 D. 1999 E. 2000
  4. On February 7, Julia turned 2N^ years old and her son Kristof turned N^2 years old. Kristof was born when Julia was 28 years old. How many years ago was the sum of their ages 80? A. 6 B. 8 C. 10 D. 12 E. 20
  5. The target shown is composed of two concentric circles. The radius of the larger circle is 50. The areas of the two shaded regions are equal. To the nearest tenth of a centimeter, what is the radius of the smaller circle? A. 25 B. 33.3 C. 34. D. 35.4 E. 36.

On this number line, what is the sum A+B?

A. 5/12 B. 1/2 C. 2/3 D. 1/3 E. 7/

A B

A B

  1. In this addition problem, each letter represents a different digit from 0 through 9. Compute the sum L+I+V. A. 13 B. 15 C. 16 D. 17 E. 20
  2. Mom turned 90 on Friday, June 2, 2006. On what day of the week was she born? A. Sunday B. Monday C. Thursday D. Friday E. Saturday
  3. Nine circles with radius 1 cm are inscribed in a square. A bug crawls from A to B, staying on the sides of the square and on the circumferences of the circles. One possible path is shown. If the bug always travels to the right and/or upward, how many distinct paths are possible from A to B? A. 6 B. 8 C. 12 D. 16 E. 20

39. 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 – because: 4 – 11 = –7. What is the 2007th^ element of this sequence? A. 4 B. –4 C. 7 D. –7 E. –

  1. 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 C. 9 D. –9 E. Cannot be determined **L I L
  • I**^ V I L L A B

A

B

B 8

13 – 3 E

C D F