Miscellaneous Exercises
1)In a certain game, points are assigned to every word. Each q,x and z in a word is worth 5 points,and all other letters are worth 1 point each. What is the sum of the points assigned to the word “exquisite”?
a) 21b) 17c) 16d) 13e) 9
2)If 2x-10=20, then x-5=
a) 5b) 10c) 15d) 20e) 30
3)If t represents an odd integer, which of the following expression represents an even integer?
a) t+2b) 2t-1c) 3t-2d) 3t+2e) 5t+1
4)For the triangles above , the perimeter of the left one equals the perimeter of the right one. If the right one has sides respectively 4,8 and 9 and the left one is equilateral, what is the length of his side?
a) 4b) 5c) 7d) 9e) 15
5)If there is no waste, how many square yards of carpeting is needed to cover a rectangular floor that is 12 feet by 18 feet? ( 1yard=3feet)
a) 8b) 16c) 24d) 30e) 216
6)A certain scale only registers weights that are greater than 6 pounds. A person who wanted to know the weights of a puppy , a kitten and a bunny weighed them in pairs and got the following results:
The kitten and the bunny weighed 7 pounds
The kitten and the puppy weighed 8 pounds
The bunny and the puppy weighed 9 pounds
What is the weight of the puppy?
a) 2 poundsb) 3 poundsc) 4 poundsd) 5 poundse) 6 pounds
7)On a blueprint, ¼ inch represents 16 feet. If a driveway is 40 feet long, what is its length, in inches, on the map.
a) 3/8b) 5/8c) ¾d) 5/2e) 10
8)In the xy-coordinate system, (p,0) is one of the point of intersection of the graphs of and . If p is positive, what is the value of p?
a) 3b) 6c) 9d) 18e) 81
9)The Smith Metal Company’s old machine makes 300 bolts per hour. Its new machine makes 450 bolts per hour. If both machines begin running at the same time, how many minutes will it take the two machines to make a total of 900 bolts?
a) 36b) 72c) 120d) 144e) 180
SALES OF JEANS IN 2001
Brand J / 25%Brand K / 15%
Brand M / 15%
Brand N / 10%
Brand L / 15%
Other Brands / 20%
10)The table above represents all the jeans that were sold by a retail store in 2001, according to their brands. If the store sold 900 pairs of jeans other than brands J, K, L, M and N, how many pairs of jeans did it sell altogether?
a) 1,500b) 2,250c) 3,000d) 3,600e) 4,500
t / -1 / 0 / 1 / 2g(t) / 4 / 2 / 0 / -2
11)The table above gives values of the linear function g for selected values of t. Which of the following defines g?
a) g(t)=1/2t+1b) g(t)=-1/2t+1c) g(t)=-t+1d) g(t)=-t+2e) g(t)=-2t+2
12)How many positive three-digit integers have the hundreds digit equal to 3 and the units digit (ones digit) equal to 4?
a) 10b) 19c) 20d) 190e) 200
13)If the volume of a cube is 8, what is the shortest distance from the center of the cube to the base of the cube?
a) 1b) 2c) 4d)e)
14)If , what happens to the value of y when both x and z are doubled?
a) y is not changedb) y is halvedc) y is doubledd) y is triplede) y is multiplied by 4
15)Luke purchased an automobile for $5,000, and the value of the automobile decreases by 20 percent each year. The value, in dollars, of the automobile n years from the date of purchase is given by the function V, where . How many years from the date of purchase will the value of the automobile be $3,200?
a) 1b) 2c) 3d) 4e) 5
16)In a set of eleven different numbers, which of the following CANNOT affect the value of the median?
a) Doubling each number b) increasing each number by 10 c) increasing the smallest number only
d) Decreasing the largest number onlye) Increasing the largest number only
17)If all the men in the Williams family are over six feet tall, which of the following statement must be true?
a) No men under six feet tall is a member of the Williams family
b) All men over six feet tall are members of Williams family
c) All men who are not members of the Williams family are under six feet tall
d) Every member of the Williams family over six feet tall is a man
e) There is one man in the Williams family under six feet tall
18)Let the symbol represent the number of different pairs of positive integers whose product is x. For example, =3, because there are 3 different pairs of positive integers whose product is 16: 16x1,8x2 and 4x4. What does equal?
a) 5b) 6c) 8d) 10e) 12
19)If three different numbers are selected, one from each of the sets shown above, what is the greatest sum that these three numbers could have?
a) 22b) 23c) 24d) 25e) 27
20)If 10,000 microns= 1 centimeter and 100,000,000 angstrom= 1 centimeter, how many angstrom units equal 1 micron?
a) 0.000000000001b) 0.0001c) 10,000d) 100,000e) 1,000,000,000,000