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 [latex]10[latex] percent less, respectively, than the length and width of rectangle [latex]C[latex]. The length and width of rectangle [latex]B[latex] are [latex]20[latex] percent greater and [latex]20[latex] percent less, respectively, than the length and width of rectangle [latex]C[latex].
| Quantity A | Quantity B |
| The area of rectangle [latex]A[latex] | The area of rectangle [latex]B[latex] |
4.
In the figure above, [latex]ABCD[latex] is a parallelogram.
| Quantity A | Quantity B |
| The area of [latex]ABCD[latex] | [latex]24[latex] |
5. In rectangle [latex]ABCD[latex] below, and Find the following. [latex]AB=5, AF=7, FD=3[latex].
(a) Area of [latex]ABCD[latex]
(b) Area of triangle [latex]AEF[latex]
(c) Length of [latex]BD[latex]
(d) Perimeter of [latex]ABCD[latex]
6. What is the perimeter, in meters, of a rectangular playground [latex]24[latex] meters wide that has the same area as a rectangular playground [latex]64[latex] meters long and [latex]48[latex] meters wide?
(A) [latex]112[latex]
(B) [latex]152[latex]
(C) [latex]224[latex]
(D) [latex]256[latex]
(E) [latex]304[latex]
7. In the figure, [latex]ABCD[latex] is a rectangle, and the area of ∆[latex]ACE[latex] is [latex]10[latex]. What is the area of the rectangle?
(A) [latex]18[latex]
(B) [latex]22.5[latex]
(C) [latex]36[latex]
(D) [latex]44[latex]
(E) [latex]45[latex]
8. In the figure, [latex]ABCD[latex] is a parallelogram. Which one of the following is true?
(A) [latex]x < y[latex]
(B) [latex]x > q[latex]
(C) [latex]x > p[latex]
(D) [latex]y > p[latex]
(E) [latex]y > q[latex]
9. The length of a rectangular banner is [latex]3[latex] feet 2 inches, and the width is [latex]2[latex] feet [latex]4[latex] inches. Which one of the following equals the area of the banner?
(A) [latex]5[latex] sq. feet
(B) [latex]5\frac{ 1 }{ 2 }[latex] sq. feet
(C) [latex]6\frac{ 1 }{ 3 }[latex] sq. feet
(D) [latex]7[latex] sq. feet
(E) [latex]7\frac{ 7 }{ 18 }[latex] sq. feet
10. The diagonal length of a square is [latex]14.1[latex] sq. units. What is the area of the square, rounded to the nearest integer?
(A) [latex]96[latex]
(B) [latex]97[latex]
(C) [latex]98[latex]
(D) [latex]99[latex]
(E) [latex]100[latex]
11. In the figure, [latex]ABCD[latex] is a square and [latex]BCP[latex] is an equilateral triangle. What is the measure of [latex]x[latex] ?
(A) [latex]7.5[latex]
(B) [latex]15[latex]
(C) [latex]30[latex]
(D) [latex]45[latex]
(E) [latex]60[latex]
12.
(A) A
(B) B
(C) C
(D) D
(E) E
13. A [latex]1[latex] meter by [latex]1[latex] meter by [latex]1[latex] meter sheet of paper is to be cut into [latex]4[latex] centimeter by [latex]5[latex] centimeter rectangles. How many such rectangles can be cut from the sheet of paper? ([latex]1[latex] meter = [latex]100[latex] centimeters)
14.
| Quantity A | Quantity B |
| The perimeter of the figure | [latex]48[latex] |
15. A 2 foot by [latex]2[latex] foot by [latex]2[latex] foot solid cube is cut into [latex]2[latex] inch by [latex]2[latex] inch by [latex]4[latex] inch rectangular solids. What is the ratio of the total surface area of all the resulting smaller rectangular solids to the surface area of the original cube? ([latex]1[latex] foot = [latex]12[latex] inches)
(A) [latex]2 : 1[latex]
(B) [latex]4 : 1[latex]
(C) [latex]5 : 1[latex]
(D) [latex]8 : 1[latex]
(E) [latex]10 : 1[latex]
Answers:
1 C: The two quantities are equal.
2 10
3 A
4 B
5 (a) [latex]50[latex] (b) [latex]17.5[latex] (c) [latex]5\sqrt { 5 }[latex] (d) [latex]30[latex]
6 E
7 C
8 C
9 E
10 D
11 C
12 B
13 500
14 B
15 E
