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Math

If there are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the numbers of seats in this auditorium?

a. 800

b. 1,000

c. 1,100

d. 1,300

e. 1,700

|Math

If rstv = 1 and stuy = 0, which of the following must be true?

a. r < 1

b. s < 1

c. t > ½

d. u = 0

e. v = 0

|Math

During a game, the blue team scored one-sixth of its points in the first quarter, one-third in the third quarter, and the remaining points in the fourth quarter. If its total score was 36, how many points did the

blue team score in the fourth quarter?

a. 6

b. 8

c. 9

d. 12

e. 25

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|Math |Math |Math |

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|If x + 2/x = 5 + 2/5, then x can equal which of the |All numbers that are divisible by both 2 and 6 are also |If 5t= 45 and tk= 1, what is the value of k? |

|following? |divisible by 4. | |

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| |Which of the following numbers can be used to show that | |

| |the statement above is FALSE? | |

| | |a. 1/45 |

| | |b. 1/9 |

|a. 1/5 | |c. 1/5 |

|b. 4/5 |a. 4 |d. 5 |

|c. 1 |b. 8 |e. 9 |

|d. 5/2 |c. 12 | |

|e. 5 |d. 18 | |

| |e. 24 | |

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|Math |Math |Math |

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|It takes 4 complete turns of a crank to raise a window 2|If x = 2, what is the value of 3x? |If 3b + 1 < 10, which of the following |

|inches. At this rate, how many turns does it take to |y 3 2y |CANNOT be the value of b? |

|raise the same window 3 ½ inches? | | |

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|a. 3.5 |a. 1/3 |a. 2 |

|b. 7 |b. 2/3 |b. 3 |

|c. 12 |c. 1 |c. 5 |

|d. 14 |d. 3/2 |d. 6 |

|e. 35 |e. 9/4 |e. 7 |

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|Answer: c |Answer: d |Answer: d |

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|Answer: b |Answer: d |Answer: e |

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|Answer: e |Answer: c |Answer: b |

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|Math |Math |Math |

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| | |There is the same number of boys and girls on a school |

|If 2x+ 3 =9, what is the value of 4x-3? |How much greater than r – 2 is r + 5? |bus when it departs from school. At the first stop, 4 |

| | |boys get off the bus and nobody gets on. After the first|

| | |stop, there are twice as many girls as boys on the bus. |

| | |How many girls are on the bus? |

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| | |4 |

| | |6 |

|5 |2 |8 |

|15 |3 |12 |

|18 |5 |16 |

|21 |6 | |

|9 |7 | |

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|Math |Math |Math |

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|# of donuts |# of donuts |3+ □ = 7 1 |

|Total price |Total price |2 2 |

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| | |What number, when used in place of □ above, makes the |

|1 |1 |statement true? |

|box of 6 |box of 6 | |

|box of 12 |box of 12 | |

| | |4 |

|$ 0.40 |$ 0.40 |5 |

|$ 1.89 |$ 1.89 |9 |

|$ 3.59 |$ 3.59 |12 |

| | |15 |

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|Of the following, which is the closest approximation of |What would be the least amount of money needed to | |

|the cost donut when one purchases a box of 6? |purchase exactly 21 donuts? | |

|$ 0.20 |$ 5.88 | |

|$ 0.30 |$ 6.68 | |

|$ 0.40 |$ 7.19 | |

|$ 0.50 |$ 7.38 | |

|$ 0.60 |$ 8.40 | |

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|Math |Math |Math |

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|A group of students washed cars to |If 6,700= 100(6k + 7), then k= |If 3 more than n is a negative number and if 5 more than|

|raise money. The net amount A, in dollars, raised by | |n is a |

|washing k cars is given by the function a (k)= 4k-30. If| |positive number, which of the following could be the |

|the group washed 15 cars, what is the net amount they | |value of n? |

|raised? | | |

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|$ 10 | | |

|$ 15 |1/10 |-5 |

|$ 20 |1 |-4 |

|$ 25 |10 |-3 |

|$ 30 |100 |0 |

| |1,000 |4 |

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|Answer: c |Answer: d |Answer: e |

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|Answer: d |Answer: b |Answer: b |

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|Answer: b |Answer: c |Answer: e |

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|Math |Math |Math |

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| | |A piece of fruit is to be chosen at random from a basket|

|How many different positive three-digit integers can be |If a (x + y)= 45 and ax =45, what is the value of ay? |of fruit. The probability that the piece of fruit chosen|

|formed if the three digits 4, 5, and 6 must be used in | |will be an apple is 2. Which of the following |

|each of the integers? | |3 |

| | |could NOT be the number of pieces of fruit in the |

| | |basket? |

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|Three |$ 10 |20 |

|Four |$ 15 |35 |

|Six |$ 20 |52 |

|Eight |$ 25 |70 |

|Nine |e. $ 30 |80 |

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|math |math |math |

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|A square and an equilateral triangle have equal |When 15 is divided by the positive integer k, the |If m and k are positive and 10²k-¹= 100m, what is m-¹ in|

|perimeters. If the square has sides of length 3, what is|remainder is 3. For how many different values of k is |terms of k? |

|the length of one side of the triangle? |this true? | |

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|2 | |k |

|3 |one |10 |

|4 |two |k |

|5 |three |90 |

|6 |four |√k |

| |five |10 |

| | |1 |

| | |10k |

| | |1 |

| | |90k |

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|math |math |math |

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|If a + 2b is equal to 125 percent of 4b, what is the | | |

|value of a ? |In the xy-coordinate plane, the distance between point B|If 0 ≤ x ≤ 8 and -1 ≤ y ≤ 3, which of the following |

|b |(10,18) and point A (x,3) is 17. What is one possible |gives the set of all possible values of xy? |

| |value of x? | |

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|Your Answer_______ | |xy= 4 |

| | |0 ≤ xy ≤ 24 |

| |Your Answer _________ |-1 ≤ xy ≤ 11 |

| | |-1 ≤ xy ≤ 24 |

| | |-8 ≤ xy ≤ 24 |

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|Answer: c |Answer: e |Answer: c |

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|Answer: d |Answer: c |Answer: c |

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|Answer: e |Answer: 2 ,18 | |

| | |Answer: 3 |

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|math |math |math |

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|If n and p are integers greater than 1 and if p is a |Rectangle ABCD lies in the xy- coordinator plane so that|If xy = 7 and x-y = 5, then |

|value factor of both n +3 and n + 10, what is the value |its sides are not parallel to the axes. What is the |x²- x²y - xy²= |

|of p? |product of the slopes of all four sides of rectangle | |

| |ABCD? | |

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|3 | | |

|7 |-2 | |

|10 |-1 |2 |

|13 |0 |12 |

|30 |1 |24 |

| |2 |35 |

| | |70 |

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|math |math |math |

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|There are 75 more women than men enrolled in Linden |If x is an integer greater than 1 and if y = x + 1/x, | |

|College. If there are n men enrolled, then, in terms of |which of the following must be true? |If a, b, c and f are four nonzero numbers, then all of |

|n, what percent of those enrolled are men? |y ≠ x |the following proportions are equivalent EXCEPT |

| |y is an integer | |

| |xy > x² | |

| | |a = b |

|a. _ n _ | |f c |

|n+75 % |I only |b. f = b |

|b. _ n _ |III only |c a |

|2n +75 % |I and II only |c. c = b |

|c. _ n_ _ |I and III only |a b |

|100(2n +75) % |I,II, and II |d. a = b |

|d. 100n_ | |c f |

|n+75 % | |e. af =1 |

|e. 100n_ | |bc 1 |

|2n+75 % | | |

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|math |math |math |

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|If k(2x +3)(x-1) =0, what is the value of k? | |If x is divisible by 3 and y is divisible by 5, which of|

| |If 4x= 6u= 5v = yw> 0, which of the following is true? |the following must be divisible by 15? |

| | |xy |

| | |3x + 5y |

|-3 | |5x + 3y |

|2 | | |

|0 | | |

|2 | |I only |

|3 |x < v < u < w |III only |

|1 |x < u < v < w |I and II only |

|2 |x < v < w < u |I and III only |

| |w < u < v < x |I, II, and III |

| |u < v < w < x | |

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|Answer: d |Answer: d |Answer: b |

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|Answer: a |Answer: d |Answer: e |

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|Answer: d |Answer: d |Answer: b |

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|Math |math |Math |

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| | |If x + 3 is an integer, then x must be |

|The sum of three consecutive odd integers is 111. |If | 2 – x| < 3, which of the following is a possible |2 |

|If n represents the least of the three integers, which |value of x? | |

|of the following equations represents the statement | | |

|above? | | |

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|3n = 111 | | |

|3n + 2 = 111 | | |

|3n + 4 = 111 | | |

|3n + 6 = 111 |4 |a negative integer |

|3n + 9 = 111 |5 |a positive integer |

| |6 |a multiple of 3 |

| |7 |an even integer |

| |8 |an odd integer |

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|Math |Math |Math |

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|Which of the following could be the remainders when 4 |If y is inversely proportional to x and y=15 when x=5, |A machine mints coins at the rate of one coin per |

|consecutive positive integers are each divided by 3? |what is the value of y when x=25? |second. If it does this 10 hours each day, approximately|

| | |how many days will it take the machine to mint 360,000 |

| | |coins? |

| |1 | |

|1, 2, 3, 1 |5 | |

|1, 2 ,3, 4 |1 | |

|0, 1, 2, 3 |3 |10 |

|0, 1, 2, 0 |3 |100 |

|0, 2, 3, 0 |5 |1,000 |

| |75 |10,000 |

| | |100,000 |

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|Math |Math |Math |

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|If the average (arithmetic mean) of x and 3x is 12, what| | |

|is the value of x? |At the Maple Creek High School, some members of the |If 3x = n = x + 1, which is n in terms of x? |

| |chess club are on the swim team and no members of the | |

| |swim team are tenth graders. | |

|2 |Which of the following must also be true? | |

|4 | | |

|6 |No members of the chess club are tenth graders | |

|12 |Some members of the chess club are tenth graders | |

|24 |Some members of the chess club are not tenth graders |4x + 1 |

| |More tenth graders are on the swim team than are in the |2x + 1 |

| |chess club |2 – x |

| |More tenth graders are in the chess club than are on the|1 – 2x |

| |swim team. |1 – 4x |

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|Answer: e |Answer: a |Answer: d |

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|Answer: a |Answer: c |Answer: d |

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|Answer: d |Answer: c |Answer: c |

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|Math |Math |Math |

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|If 30 percent of 40 percent of a positive number is | | |

|equal to 20 percent of w percent of the same number, |If 2x < y < 0, which of the following is greatest? |Carlos delivered n packages on Monday, 4 times as many |

|what is the value of w? | |packages on Tuesday as on Monday, and 3 times more |

| | |packages on Wednesday than on Monday. What is the |

| | |average (arithmetic mean) number of packages he |

|80 | |delivered per day over the three days? |

|60 |-2x | |

|50 |– (2x + y) | |

|15 |2x |a. 2n – 3 |

|10 |–y |2n – 1 |

| | |2n + 1 |

| | |2n + 3 |

| | |6n + 1 |

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|Math |Math |Math |

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|If a and b are odd integers, which of the following must|5.101001000100001… |If f(x) = 3 – 2x² for all nonzero x, |

|also be an odd integer? |The decimal number above consists of only 1’s and 0’s to|x |

|I. (a + 1) b |the right of the decimal point. |then f(2)= |

|II. (a +1) +b |The first 1 is followed by one 0, the second 1 is | |

|III. (a + 1) -b |followed by two 0’s, the third 1 is followed by three | |

| |0’s, and so on. What is the total number of 0’s between | |

|I only |the 98th and the 101st 1 in this decimal number? | |

|II only | |11/2 |

|III only | |7/2 |

|I and II | |-1/2 |

|II and III |288 |-5/2 |

| |291 |-7 |

| |294 | |

| |297 | |

| |300 | |

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|Math |Math |Math |

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|In the xy- plane, the line with equation y= 5x-10 | |Line l has a positive slope and passes through the |

|crosses the x-axis at the point with coordinates (a, b).|If m is the greatest prime factor of 38 and n is the |point (0, 0). If the line k is perpendicular to line l, |

|What is the value of a? |greatest prime factor of 100, what is the value of m + |which of the following must be true? |

| |n? | |

|-10 | | |

|-2 | | |

|0 | |Line k passes through the point (0, 0) |

|2 | |Line k has a positive slope. |

|5 |7 |Line k has a negative slope. |

| |12 |Line k has a positive x-intercept. |

| |24 |Line k has a negative y-intercept. |

| |29 | |

| |44 | |

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|Answer: c |Answer: b |Answer: b |

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|Answer: d |Answer: d |Answer: e |

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|Answer: c |Answer: c |Answer: d |

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|Math |Math |Math |

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|[pic] |If 2x- 5, x + 1, 3x-8 are all integers and x + 1 is the |An exhibitor is selling decorative wreaths at an art and|

| |median of these integers, which of the following could |crafts show. The net profit P, in dollars, from the |

| |be the value of x? |sales of the wreaths is given by P(n)= 0.75n - 50, where|

|In the figure above, the circle is tangent to sides BC | |n is the number of wreaths sold. How many wreaths must |

|and AD of the 8-by-12 rectangle, ABCD. What is the area | |the exhibitor sell in order to earn a net profit of |

|of the circle? | |$100? |

|16 π |5 | |

|20 π |7 |25 |

|36 π |9 |75 |

|64 π |10 |150 |

|96 π |11 |175 |

| | |200 |

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|Math | | |

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|If x² + y² = 73 and xy = 24, what is the value of (x + | | |

|y)²? | | |

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|73 | | |

|97 | | |

|100 | | |

|121 | | |

|144 | | |

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|Answer: e |Answer: a |Answer: a |

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| | |Answer: d |

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|Move down a space |Move down a space |Move down a space |

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