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Miscellaneous Word Problems
Probability and Statistics
Number Sense
Geometry
100
A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank? (A) 9 (B) 15 (C) 18 (D) 24 (E) 25
What is choice 'A,' '9'?
100
Maja has the following scores on 7 quizzes in French class: 81, 76, 80, 84, 78, 91, 84. What was the median score of her French quizzes?
What is the 81?
100
If p
What is an "NONE," choice A?
100
The perimeter of square A is 4 times th eperimeter of square B. If the perimeter of square B is given to be 18, then what is the length of a single side of square A? (A) 4.5 (B) 18 (C) 22 (D) 48 (E) 72
What is '(B) 18'?
200
Which of the following is an equation equivalent to the statement "12 less than the product of 3 and b is 9"? (A) 3(b - 12) = 9 (B) 12 - 3b = 9 (C) 3b - 12 = 9 (D) 12b - 3 = 9 (E) 12 + 3b = 9
What is '(C) 3b - 12 = 9 '?
200
If thesum of three numbers is 27, what is the average (arithmetic mean) of the three numbers? (A) 0 (B) 9 (C) 12 (D) 16 (E) 18
What is '(B) 9 '?
200
If the product of 3 positive integers is even, which of the following must be true? (A) All of the integers are odd. (B) All of the integers are even. (C) Two of the integers are even and one is odd. (D) At least one of the integers is odd. (E) At least one of hte integers is even.
What is '(E) At least one of hte integers is even'?
200
C, D, and E are points on a line, in that order. If the length of segment CE i 30, and the length of segment CD is twice the length of DE, what is the length of segment CD? (A) 10 (B) 15 (C) 20 (D) 25 (E) 30
What is "(C) 20"?
300
A crtain car needs 15 gallons to travel 300 miles. At this rate, how many gallons are needed to travel 500 miles? (A) 16 (B) 20 (C) 25 (D) 30 (E) 35
What is '(C) 25'?
300
The average (arithmetic mean) of six numbers is 6. If 3 is subtracted from each of four of the numbers, what is the new average? (A) 1 ½ (B) 2 (C) 3 (D) 4 (E) 4 ½
What is 'D,' '4'?
300
If r is a multiple of both 12 and 18, which of the following must be a factor of r? (A) 8 (B) 24 (C) 27 (D) 30 (E) 36
What is 'E,' '36'?
300
The perimeter of a triangle with vertices (-1,1), (5,1), and (2,5). (A) 16 (B) 13 (C) 6 + 2√7 (D) 11 (E) 6 + 2√5
What is 'A,' '16'?
400
3, 8, 13, 18, 23, 28, 33, 38 If from the sequence of numbers above, a new sequence is created by increasing each odd-valued term by 3 and decreasing each even-valued term by 2, the sum of the terms of this new sequence is how much greater than the sum of the terms of the original sequence? (A) 4 (B) 6 (C) 8 (D) 10 (E) 12
What is 'A) 4 '?
400
When the average (arithmetic mean) of a list of prices is multiplied by the number of prices, the result is n. What does n represent? (A) the average of the prices (B) the number of prices (C) the sum of the prices (D) the sum of the prices (E) half of the sum of the prices
What is '(D) the sum of the prices' ?
400
How many different positive two-digit integers are there such that the tens' digit is greater than 5 and the units' digit is odd? (A) 10 (B) 12 (C) 15 (D) 20 (E) 25
What is "D," "20"?
400
A rectangular swimming pool has a volume of 8,640 cubic feet. If its length is 60 feet and its depth is 6 feet, what is the width of the pool in feet? (A) 16 (B) 19 (C) 24 (D) 28 (E) 36
What is '(C) 24'?
500
What was the initial amount of water in a barrel, in liters, if there are now x liters, y liters were lost, and 6 liters were added? (A) x + y - 6 (B) y - x + 6 (C) x + y + 6 (D) y - x - 6 (E) x - y + 6
What is '(A) x + y - 6' ?
500
Bill has to type a paper that is p pages long, in which each page contains w words. If Bill types an average of x words per minute, how many hours will it take him to finish the paper? (A) (wp)/(60x) (B) (wpx)/60 (C) (60wp)/x (D) (wx)/(60p) (E) 60wpx
What is '(A) (wp)/(60x)' ?
500
Let the "tricate" of a number x be defined as one-third of the smallest multiple of 3 greater than x. If the tricate of z is 3, which of the following could be the value of z? (A) 2 (B) 5 (C) 7 (D) 9 (E) 11
What is 'C', '7'?
500
It is the height (to the nearest hundredth) of a kite when a 75-ft line attached to it is pulled taut, and the angle of elevation to the kite is approximately 60 degrees.
What is 64.95 feet?