Category: Math Center

[Math Center] 1.  If an athlete’s weight decreased from [latex]160[latex] pounds to [latex]152[latex] pounds, what was the percent decrease in the athlete’s weight?   2. Emma spent $[latex]75[latex] buying a used bicycle and $[latex]27[latex] repairing it. Then she sold the bicycle for [latex]40[latex] percent more than the total amount she spent buying and repairing it. […]

[Math Center] 1. When the positive integer [latex]n[latex] is divided by [latex]3[latex], the remainder is [latex]2[latex] and when [latex]n[latex] is divided by [latex]5[latex], the remainder is [latex]1[latex]. What is the least possible value of [latex]n[latex]?   2. [latex]n[latex] is a positive integer that is divisible by [latex]6[latex]. Quantity A Quantity B The remainder when [latex]n[latex] is divided by [latex]12[latex] The […]

[Math Center] 1. Quantity A Quantity B [latex]\frac {{ 2 }^{ 30 }-{ 2 }^{ 29 }}{ 2 }[latex]  [latex]{ 2 }^{ 28 }[latex]   2. Quantity A Quantity B [latex]{ 3 }^{ x+1 }[latex]  [latex]{ 4 }^{ x }[latex]   3.  [latex]x[latex] and [latex]m[latex] are positive numbers, and [latex]m[latex] is a multiple of [latex]3[latex]. […]

[Math Center] 1. [latex]r, s[latex], and [latex]t[latex] are three consecutive odd integers such that [latex]r<s<t[latex]. Quantity A Quantity B [latex]r+s+1[latex]  [latex]s+t-1[latex]   2. By how much is the greatest of five consecutive even integers greater than the smallest among them? (A) [latex]1[latex] (B) [latex]2[latex] (C) [latex]4[latex] (D) [latex]8[latex] (E) [latex]10[latex]   3.  Which one of […]

[Math Center] 1. Quantity A Quantity B The number of prime numbers divisible by [latex]2[latex] The number of prime numbers divisible by [latex]3[latex]   2. Which one of the following equals the product of exactly two prime numbers? (A) [latex]11*6[latex] (B) [latex]13*22[latex] (C) [latex]14*23[latex] (D) [latex]17*21[latex] (E) [latex]13*23[latex]   3. Which one of the following […]

[Math Center] 1. Quantity A Quantity B [latex]{ 950 }^{ 2000 }[latex]  [latex]{ 10 }^{ 2000 }[latex]   2. Which of the following integers are multiples of both [latex]2[latex] and [latex]3[latex] ? Indicate all such integers. (A) [latex]8[latex] (B) [latex]9[latex] (C) [latex]12[latex] (D) [latex]18[latex] (E) [latex]21[latex] (F) [latex]36[latex]   3. If [latex]\frac { 1 }{ \left( […]

[Math Center] 1. Set [latex]S[latex] consists of all positive integers less than [latex]81[latex] that are not equal to the square of an integer. Quantity A Quantity B The number of integers in set [latex]S[latex]  [latex]72[latex]   2. Which of the following numbers is farthest from the number [latex]1[latex] on the number line? (A) [latex]-10[latex] (B) […]