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Ninth Grade Test on Hardware and Software Support | IS 130, Exams of Computer Fundamentals

Material Type: Exam; Class: Hardware and Software Support; Subject: Information Systems; University: Saint Louis Community College-Meramec; Term: Spring 2007;

Typology: Exams

Pre 2010

Uploaded on 08/08/2009

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Ninth Grade Test - Excellence in Mathematics Contest - 2007
1. The title of this competition is the “The 10th Prime Contest”.
What is the sum of the first 10 prime numbers?
A. 101 B. 117 C. 125 D. 129 E. 160
2. A target consists of six concentric squares of side
lengths: 1, 3, 5, 7, 9, and 11. What per cent of the target
is shaded? Round to the nearest percent.
A. 38% B. 40% C. 43%
D. 45% E. 46%
3. 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?
A. 11 B. 15 C. 26 D. 37 E. 87
4. The sum of three consecutive prime numbers is:
A. Always an even number B. Always an odd number
C. Always a multiple of 3 D. Never a multiple of 3
E. None of the above
5. In 2006, poor Pluto was declassified 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.
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
6. If x = –12, evaluate:
2
x
24 x
.
A. –12 B. –6 C. –4 D. 6 E. 12
7. Angle θ measures the amount of counter-clockwise rotation
in degrees from Ray AB to Ray AC.
Select the best estimate of θ.
A. 100oB. 120oC. 220oD. 260oE. 280o
8. The point (–5, 3) lies on the lines y = Ax – 3 and y = Bx. What is A+B?
A. –9/5 B. –3/5 C. –1 D. 3/5 E. 6/5
9. The area of triangle ABC is 130 square centimeters. Angle B is a right angle and BC = 20 cm.
To the nearest tenth of a centimeter, what is the perimeter of triangle ABC?
A. 48.2 B. 56.9 C. 57.4 D. 61.3 E. 66
A
C
B
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  1. The title of this competition is the “ The 10th^ Prime Contest ”. What is the sum of the first 10 prime numbers? A. 101 B. 117 C. 125 D. 129 E. 160
  2. A target consists of six concentric squares of side lengths: 1, 3, 5, 7, 9, and 11. What per cent of the target is shaded? Round to the nearest percent. A. 38% B. 40% C. 43% D. 45% E. 46%
  3. 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? A. 11 B. 15 C. 26 D. 37 E. 87
  4. The sum of three consecutive prime numbers is: A. Always an even number B. Always an odd number C. Always a multiple of 3 D. Never a multiple of 3 E. None of the above
  5. In 2006, poor Pluto was declassified 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. 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
  6. If x = –12, evaluate: x^2  24  x

A. –12 B. –6 C. –4 D. 6 E. 12

  1. Angle θ measures the amount of counter-clockwise rotation in degrees from Ray AB to Ray AC. Select the best estimate of θ. A. 100 o^ B. 120 o^ C. 220 o^ D. 260 o^ E. 280 o
  2. The point (–5, 3) lies on the lines y = Ax – 3 and y = Bx. What is A+B? A. –9/5 B. –3/5 C. –1 D. 3/5 E. 6/
  3. The area of triangle ABC is 130 square centimeters. Angle B is a right angle and BC = 20 cm. To the nearest tenth of a centimeter, what is the perimeter of triangle ABC? A. 48.2 B. 56.9 C. 57.4 D. 61.3 E. 66  A C B

10. ^ and^ are two distinct operations from the set:    ,^ ,^ ,^.

If 9 6 45 2 6    , what is the value of^ 6 3 12 8  

A. 3/16 B. 6 C. 12 D. 15 E. 20

  1. From a solid wooden cube of side length 2, a tetrahedron with slant lengths 1 (as shown) is cut from EACH of the eight vertices of the cube. One such tetrahedron is shown in the diagram. How many faces does the remaining solid have? A. 6 B. 10 C. 112 D. 14 E. 16
  2. The equation of this line can be written in

the form: y = Mx + B.

What is the product MB? A. 3 B. –3 C. 4/ D. –4/3 E. –

  1. How many different numbers can be expressed as the sum of exactly three different numbers from the set {1, 2, 3, 10, 11, 12}? A. 12 B. 14 C. 16 D. 18 E. 20
  2. The first four terms of a sequence are: 2, 3, 6, 18, … where each term is the product of the

previous two terms. If the 10th^ term is written 2 3p^ q , what is the sum p+q?

A. 55 B. 64 C. 89 D. 96 E. 144

  1. With 84 m of fence, Matt enclosed a square corral for his horse. With his 84 m of fence, Nick built a corral which was an equilateral triangle. What is the ratio of the area of Matt’s corral to the area of Nick’s corral? Express your answer to the nearest per cent. A. 100% B. 112% C. 120% D. 125% E. 130%
  2. In square units, what is the area of the triangle formed by the x-axis, the y-axis, and

the line 2x – 9y = 180?

A. 180 B. 360 C. 450 D. 720 E. 900

  1. If the measures of two angles of an isosceles triangle are 80o^ and xo, there are three possibilities for x. What is the sum of those three possible values? A. 160 o^ B. 90 o^ C. 100 o^ D. 180 o^ E. 150 o (^0) x y (^1 2 3 4 ) 1 2 3 4 1 1 1 1
  1. The circumference of a smaller circle equals the radius of a larger circle. What is the ratio of the area of the larger circle to the area of the smaller circle? A. 2π B. 4π C. π^2 D. 2π^2 E. 4π^2
  2. 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
  3. For an adult weight W in pounds and height H in inches, the Body Mass Index or BMI is given by the formula: (^2)

W

BMI 703*

H

 . If Brian is 5 foot 10 inches tall, to reduce his BMI from 28.

to 24.0, how many pounds must Brian lose? Round to the nearest pound. A. 21 B. 23 C. 25 D. 27 E. 29

30. The latitude of St. Louis is 38 35o North, while Suzanne is studying in Uppsala, Sweden, at

latitude 59 52o North. Assume that the Earth is a sphere with radius 3960 miles.

How many miles further north of the equator is Uppsala than St. Louis? A. 1463 B. 1471 C. 2446 D. 2926 E. 2942

  1. The Sonderman’s and the Bozek’s own cottages 2400 feet apart at opposite ends of a lake. At 9:00 AM, Amy and Dan Sonderman begin canoeing to Bozek’s cottage. A while later, Brian Bozek begins swimming to Sonderman’s cottage. When they meet in the lake, Amy and Dan have paddled twice as fast as Brian swam and have paddled twice as many minutes. How far has Brian swum? A. 480 feet B. 600 feet C. 800 feet D. 1200 feet E. Insufficient information is given
  2. x and y are positive integers such that 150x is a perfect square and 150y is a perfect cube. What is the least possible value of the sum x+y? A. 36 B. 66 C. 156 D. 186 E. 216
  3. The centers A and B of the two congruent circles lie on a diameter of the largest circle. The four circles are tangent as shown. What is the ratio of the area of the largest circle to the area of the smallest circle?

A. 12 B. 9 C. 6

D. 6 3 E. 9 3 / 2

  1. 2, 8, 14,… and 11, 26, 41,… are two arithmetic sequences. What is the 15th^ number that appears in both sequences? A. 441 B. 446 C. 476 D. 866 E. 926 A (^) B

35. For the given cube, compute ABE  ABD ABC.

A. 135 o^ B. 150 o^ C. 165 o D. 180 o^ E. 195 o

  1. In this 2x4 grid of dots, the dots are 1 cm apart both horizontally and vertically. Using three dots of the grid as the vertices of a triangle, how many distinct non-congruent triangles can be drawn? A. 5 B. 6 C. 7 D. 8 E. More than 8
  2. 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

38. Point C is the center of arc ABD. Point D is the center of arc CE.

Angle ACB is congruent to angle BCD. Determine α –β. Round to the nearest degree. A. 38 o^ B. 43 o^ C. 45 o D. 51 o^ E. 54 o

  1. In a college, for each professor there are 10 male students and 12 female students. If there are M male students, what is the total number of students and professors? A. 23M B. 61M/5 C. 71M/6 D. 23M/10 E. 29M/
  2. Place the numbers: 4, 6, 7, 8, and 9 , (without repetition) in the five regions marked A, B, C, D, and E so that each sum of the numbers in the three regions between each pair of short and long arrows (namely: A+1+D; A+B+2; 3+E+C; and 5+E+D)

equals the same number. What is the value of C+D?

A. 13 B. 14 C. 15

D. 16 E. 17

A

B

B 8

13 – 3 E

C D F

1 cm 1 cm B C A E D C D B A α E α β

E^3

D

C

B

A