(1) Five apples and 6 bananas together cost as much as 8 bananas and 9 pears. One apple costs as much as 2 pears. For the same price as 1 pear, how many bananas could be bought?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 6
(2) Let R = 8 · 9 · 7 · 13 and S = 4 · 6 · 11 · 49. The greatest common factor of R and S is
(A) 12 (B) 42 (C) 56 (D) 168 (E) 504
(3) What is the value of 4|x – y| - 3|xy| if x = -5 and y = 2?
(A) -42 (B) -18 (C) -2 (D) 42 (E) 58
(4) In the following sequence of eight numbers, each number has one more “1” than the number before it:
2, 12, 112, 1112,. . . . , 11111112
What is the hundreds digit in the sum of all eight of these numbers?
(A) 0 (B) 6 (C) 7 (D) 8 (E) 9
(5) In Ms. Hsiao’s class there are twice as many boys as there are girls. Half of the boys are in the math club and all of the girls are in the math club. What percent of Ms. Hsiao’s class is in the math club?
(A) 25% (B) 33 (1/3)% (C) 50%
(D) 66 (2/3)% (E) 75%
(6) (16 + 5x) – (8 – 2x) =
(A) 8 + 3x (B) 8 - 3x (C) 8 - 7x
(D) 8 + 7x (E) 24 - 7x
(7) The three lines shown intersect in a point. The value of x
(A) is 100. (B) is 80. (C) is 50. (D) is 20.
(E) cannot be determined from the given information
(8) The straight line graph shows how many people are in a large cafeteria eating lunch at different times. If the people leave at a steady rate, at what time will oly 150 people remain?
(A) 1:15 P.M. (B) 1:30 P.M. (C) 1:45 P.M.
(D) 2:15 P.M. (E) 3:30 P.M.
(9) Two congruent circles have centers P and Q as shown. What is the measure of angle PXQ?
(A) 30° (B) 45° (C) 55° (D) 60° (E) 75°
(10) Andrew has d dollars. He has one-third as many dollars as Bruce has. Carlos has $80 less than half the total of Andrew’s and Bruce’s dollars. In terms of d, how many dollars does Carlos have?
(A) 4d – 40 (B) 2d – 40 (C) 2d + 40
(D) 2d + 80 (E) 2d – 80
(11) The sum of 7 unequal positive integers is 61. What is the largest possible value that any of those integers can have?
(A) 55 (B) 40 (C) 39 (D) 13 (E) 9
(12) In the set {1, 5, x, 10, 15}, the integer x is the median. The mean of the five numbers is one less than x. The value of x is
(A) 6 (B) 7 (C) 8 (D) 9 (E) none of these.
(13) If 7/50 < 1/x < 8/51 where x is an integer, then x =
(A) 8 (B) 7 (C) 6 (D) 5 (E) 4
(14) Half of 28 is
(A) 27 (B) 26 (C) 24 (D) 18 (E) 8
(15) If x is greater than 1/2 but less than 1, which of the following has the largest value?
(A) 2x – 1 (B) x2 (C) 1/x (D) 1 – x (E) x3
(16) Maria, Anoki, and Boris are teenagers, and the sum of their ages now is 49. The sum of their ages 8 years from now will be F, and the sum of their ages 10 years ago was P. The value of F – P is
(A) 54 (B) 18 (C) 17 (D) 6 (E) 2
(17) If (1/4) + (1/x) = 1, then x =
(A) 1/8 (B) 2/3 (C) 4/3 (D) 2 (E) 3
(18) When the integer N is divided by 7, the quotient is Q and the remainder is 5. When N + 24 is divided by 7, the remainder is ‘
(A) 4 (B) 3 (C) 2 (D) 1 (E) 0
(19) Point B is on line segment AD, and point E is on line segment BC. The value of x is
(A) 20 (B) 40 (C) 50 (D) 60 (E) 70
(20) Three-fourths of a number is equal to L. What is three-halves of that original number, in terms of L?
(A) 4/3L (B) 3/2L (C) 2L (D) 3L (E) 4L
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits