LET Reviewer - General Education (MATHEMATICS - Geometry)


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Direction: Select the letter of the best answer.



1.     Which of the following letters represents the vertex in the following picture?
a. D and E
b. E and H
c. F and G
d. H only


Answer: d. H only



2. A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?
a. 20
b. 15
c. 5
d. 3


Answer: a. 20



3. Which of the following does not describe a “point” in geometry?
a. It is one-dimensional.
b. It has no long, width or height.
c. It specifies an exact location.
d. It is identified with a number or letter.


Answer: a. It is one dimensional



4. It is a part of a line that starts from one endpoint and extends forever in one direction.
a. Midpoint
b. Line segment
c. Collinear
d. Ray


Answer: d. Ray



5. If the sum of measures of two positive angles is 90 degrees, the angels are called _______.
a. complementary
b. supplementary
c. straight
d. acute


Answer: a. complementary



6. A wood frame for pouring concrete has an interior perimeter of 14 meters. Its length is one meter greater than its width. The frame is to be braced with twelve-gauge steel cross-wires. Assuming an extra half-meter of wire is used at either end of a cross-wire for anchoring, what length of wire should be cut for each brace?
a. 6 meters
b. 7 meters
c. 6.5 meters
d. 5 meters


Answer: a. 6 meters



7. The smallest angle of a triangle is two-thirds the size of the middle angle, and the middle angle is three-sevenths of the largest angle. Find all three angle measures.
a. 20°, 45°, and 95°
b. 28°, 32°, and 98°
c. 30°, 45°, and 105°
d. 25°, 40°, and 100°


Answer: c. 30°, 45°, and 105°



8. If one side of a square is doubled in length and the adjacent side is decreased by two centimeters, the area of the resulting rectangle is 96 square centimeters larger than that of the original square. Find the dimensions of the rectangle.
a. 20 and 5
b. 24 and 10
c. 22 and 8
d. 18 and 12


Answer: b. 24 and 10


9. Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B.
a. A= 50°, B=40°
b. A= 70°, B=20°
c. A= 60°, B=30°
d. A= 90°, B=60°


Answer: c. A= 60°, B=30°



10. If a circle has the diameter of 8, what is the circumference?
a. 6.28
b. 12.56
c. 25.13
d. 50.24


Answer: c. 25.13



11. In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
a. 30°, 30°, 90° and 200°
b. 40°, 40°, 50° and 180°
c. 25°, 25°, 60° and 250°
d. 35°, 35°, 70° and 220°


Answer: d. 35°, 35°, 70° and 220°



12. If the height of a triangle is five inches less than the length of its base, and if the area of the triangle is 52 square inches, find the base and the height.
a. Base = 25, Height = 17
b. Base = 26, Height = 16
c. Base = 20, Height = 18
d. Base = 24, Height = 18


Answer: d. Base = 24, Height = 18



13. What is the area of the triangle below?


a. 22 cm2
b. 33 cm2
c. 44 cm2
d. 50 cm2


Answer: b. 33 cm2



14. The radius of a circle is 3 centimeters. What is the circle's circumference?
a. 2 п cm
b. 4 п cm
c. 6 п cm
d. 8 п cm


Answer: c. 6 п cm



15. A cube has a surface area of fifty-four square centimeters. What is the volume of the cube?
a. 27 cm3
b. 26 cm3
c. 30 cm3
d. 28 cm3


Answer: a. 27 cm3


16. Find the circumference of a circular disk whose area is 100 π square centimeters.
a. 20 π
b. 10 π
c. 50 π
d. 2 π


Answer: d. 2 π



17. The semicircle of area 1250 π centimeters is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. Find the area of the rectangle.
a. 100
b. 50
c. 5000
d. 2500


Answer: c. 5000



18. What is the measure of the solid line angle depicted by the following figure?

a. 90 degrees
b. 180 degrees
c. 225 degrees
d. 270 degrees


Answer: d. 270 degrees



19. The measure of one supplementary angle is twice the measure of the second. What is the measure of each angle?
a. 90°
b. 120°
c. 130°
d. 145°


Answer: b. 120°



20. If two lines are perpendicular, what is the slope of the first line if the second line has a slope of 5?
a. 1
b. 1.25
c. 0.20
d. 0.75


Answer: c. 020



21. What is the measure of angle B in the following figure of angle A measures 135 degrees?

a. 40 degrees
b. 45 degrees
c. 50 degrees
d. 135 degrees


Answer: b. 45 degrees



22. A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the area will be 60 square inches. What were the dimensions of the original rectangle?
a. 4 and 16
b. 4 and 8
c. 8 and 16
d. 2 and 8


Answer: a. 4 and 16



23. A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it.  If the area of the deck is 60 п ft2, find its width.
a. 1
b. 2
c. 2.5
d. 4


Answer: b. 2



24. The sum of the measures of the angles of an n-gon is 2340°. How many sides does this n-gon have?
a. 8
b. 9
c. 13
d. 15


Answer: d. 15



25. What is the volume of the solid made by a hollow cylinder with half in size of the larger cylinder?
a. 1440 п in3
b. 1260 п in3
c. 1040 п in3
d. 1040 п in3


Answer: b. 1260 п in3

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1 Comments

  1. Thank you for sharing ! It helps me a lot answering on my free time.

    ReplyDelete

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