Category: Math Center

[Math Center] 1. A closed rectangular tank contains a certain amount of water. When the tank is placed on its [latex]3[latex] ft by [latex]4[latex] ft side, the height of the water in the tank is [latex]5[latex] ft. When the tank is placed on another side of dimensions [latex]4[latex] ft by [latex]5[latex] ft, what is the […]

[Math Center] 1. In the [latex]xy[latex]-plane, the equation of line [latex]k[latex] is [latex]3x-2y=0[latex]. Quantity A Quantity B The [latex]x[latex]-intercept of line [latex]k[latex] The [latex]y[latex]-intercept of line [latex]k[latex]   2. In the [latex]xy[latex]-plane, line [latex]k[latex] is a line that does not pass through the origin. Which of the following statements individually provide(s) sufficient additional information to determine […]

[Math Center] 1. In the figure above, the diameter of the circle is [latex]10[latex]. Quantity A Quantity B The area of quadrilateral [latex]ABCD[latex] [latex]40[latex]   2. For the rectangular solid below, find the following. (a) Surface area of the solid (b) Length of diagonal [latex]AB[latex]   3. A circle is inscribed in a square with […]

[Math Center] 1. Quantity A Quantity B The area of the shaded region [latex]36[latex]   2. In the rectangular solid above, and What is the area [latex]TU=3, UV=4, VR=2[latex]. of the shaded rectangular region?   3. [latex]A, B[latex], and [latex]C[latex] are three rectangles. The length and width of rectangle [latex]A[latex] are [latex]10[latex] percent greater and […]

[Math Center] 1. AB is a diameter of the circle. Quantity A Quantity B The length of [latex]AB[latex] The average (arithmetic mean) of the lengths of [latex]AC[latex] and [latex]AD[latex]   2. In the figure above, [latex]O[latex] and [latex]P[latex] are the centers of the two circles. If each circle has radius [latex]r[latex], what is the area […]

[Math Center] 1.   [latex]DFG[latex] is a straight line. What is the value of [latex]x[latex]? A. 12 B. 14 C. 16 D. 18 E. 20 2. If the hypotenuse of an isosceles right triangle is [latex]7\sqrt { 2 }[latex] , what is the area of the triangle? (A) [latex]14[latex] (B) [latex]18[latex] (C) [latex]24.5[latex] (D) [latex]28[latex] […]

[Math Center] 1.   In the figure, lines [latex]l[latex] and [latex]m[latex] are parallel. If [latex]y-z = 60[latex], then what is the value of [latex]x[latex] ? (A) [latex]60[latex] (B) [latex]75[latex] (C) [latex]90[latex] (D) [latex]120[latex] (E) [latex]135[latex]   2.   In the figure, [latex]AD[latex] and [latex]BC[latex] are lines intersecting at [latex]O[latex]. What is the value of [latex]a[latex] […]

[Math Center Home] [নোটঃ এই আর্টিকেলটি (1) Geometry বিভাগের অধীনে 〈7〉 3D Objects চ্যাপ্টারের অন্তর্গত, যা 〈1.7.a〉চিহ্ন দিয়ে প্রকাশ করা হয়েছে] 〈1.7.a〉ত্রিমাত্রিক বিভিন্ন বস্তু বিষয়ক জ্যামিতি: Surface Area The surface area of a three-dimensional shape is the amount of space on the surface of that particular object. Surface area বা পৃষ্ঠতলের ক্ষেত্রফল কতটুকু তা মনে রাখার সহজ নিয়ম হলো ওই বস্তুটিকে […]