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w Flashcards

1
Q

The three sides of a triangle measure 36 cm, 18 cm, and 24 cm. What is the length of the median drawn from the longest side to opposite vertex?
A. 12.13 cm C. 11.32 cm
B. 11.23 cm D. 12.32 cm

A

B. 11.23 cm

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2
Q

The sides of a triangle measures 59, 42, and 64. Find the radius of the inscribed circle.
A. 11.27 C. 13.56
B. 12.64 D. 14.61

A

D. 14.61

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3
Q

If the one side of a rectangle is increased by 25%, what is the effect on the other side to maintain the same area?
A. decreased by 25% C. increased by 25%
B. decreased by 20% D. increased by 20%

A

B. decreased by 20%

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4
Q

What is the sum of interior angles of pentadecagon?
A. 2440 C. 2240
B. 2340 D. 2520

A

B. 2340

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5
Q

The length of a side of a rhombus is 5cm. If its shorter diagonal is of length 6cm, find the area of the rhombus.
A. 20 cm2 C. 22 cm2
B. 24 cm2 D. 26 cm2

A

B. 24 cm2

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6
Q

A polygon has 170 diagonals. How many sides does it have? A. 20 C. 22
B. 21 D. 23

A

A. 20

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7
Q

The distance from A to B, as measured, is 165.2 m. If the 50 m tape used is 0.01 m too short, what is the correct distance in meters?
A. 165.23 m C. 165.21 m
B. 165.17 m D. 165.18 m

A

B. 165.17 m

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8
Q

It is required to lay-out a distance of 867.28 m with a 100 m tape that is 0.028 m too long. Compute the true distance measured with the tape to make the points the proper distance apart.
A. 866.98 m C. 866.96 m
B. 867.04 m D. 868.72 m

A

B. 867.04 m

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9
Q

Situation 1: A 50 m steel tape was standardized and supported throughout its whole length and found to be 0.00205 m longer at an observed temperature of 31.80C and a pull of 10 kg. This tape was used to measure a line which was found to be 662.702 m at an average temperature of 24.60C using the same pull. Use coefficient of expansion of 11.6 x 106/0C.

  1. Compute the standard temperature.
    A. 27.260C C. 27.280C
    B. 26.280C D. 28.270C
A

D. 28.270C

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10
Q

Compute the total temperature correction.
A. +0.028 m C. +0.082 m
B. -0.028 m D. -0.082 m

A

B. -0.028 m

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11
Q

Compute the correct length of the line.
A. 662.73 m C. 662.78 m
B. 662.67 m D. 662.62 m

A

B. 662.67 m

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12
Q

The length intercepted on the stadia rod is 2.83 m and the line of sight makes an angle of 40 30’ with the horizontal. Find the vertical distance from the center of the instrument to the rod, if the stadia constant is 0.30 m and the stadia interval factor is 100.
A. 21.16 m C. 21.61 m
B. 22.61 m D. 22.16 m

A

D. 22.16 m

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13
Q

TP1 has an elevation of 115.15m and the foresight taken at the point is 0.30m. If the BS taken at BM is 1.42m, what is the elevation of BM?
A. 114.03 m C. 113.98 m
B. 115.21 m D. 113.82

A

A. 114.03 m

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14
Q

A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in diameter with a central angle of 1500. Find the volume of the cone.
A. 7,000 C. 7,700
B. 7,711 D. 7,117

A

B. 7,711

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15
Q

A soft clay spherical in shape, has a radius of 10 cm. If cubes 2 cm on each side are to be made out of this clay, how many cubes can be made?
A. 524 C. 522
B. 523 D. 525

A

B. 523

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16
Q

A fisherman at sea observed that the angle of elevation of a cliff is 120. If the height of the cliff above sea level is 30m, how far is he from the shore?
A. 144.29 m C. 141.14 m
B. 144.92 m D. 114.41 m

A

C. 141.14 m

17
Q

A plane travels in a direction of N 300 W at an air speed of 600kph. If the wind has a speed of 80kph on a direction of N 600 E, what is the ground speed of the plane?
A. 631.85 kph C. 605.31 kph
B. 613.85 kph D. 650.31 kph

A

C. 605.31 kph

18
Q

How long a wire 1.8 mm in diameter can be drawn from a block of copper 60 mm x 100 mm x 150 mm?
A. 300.86 mm C. 336.72 mm
B. 341.28 mm D. 353.68 mm

A

D. 353.68 mm

19
Q

What is the equation of the line that passes thru (4,0) and is parallel to the line x – y – 2 = 0?
A. x – y + 4 = 0 C. x - y - 4 = 0
B. x + y + 4 = 0 D. x – y = 0

A

C. x - y - 4 = 0

20
Q

What is the radius of the circle x2 + y2 – 6y = 0?
A. 2 C. 4
B. 3 D. 5

A

A. 2

21
Q

A certain angle has an explement 6 times the supplement. Find the angle.
A. 144° C. 100°
B. 72° D. 80

A

A. 144°

22
Q

Determine the degree of simple curve whose central angle is 260 if the shortest distance from the curve to the point of intersection of the tangents is 7.54 m. Use arc basis.
A. 4.5 C. 3.8
B. 3.5 D. 4

A

D. 4

23
Q

What is the simplified form of sin2 θ(cot2 θ + 1)?
A. 0 C. cos θ
B. sin θ D. 1

A

D. 1

24
Q

. In a railroad simple curve, if the angle of intersection of tangents is 610 and its tangent distance is 72.40 m, what is the length of the long chord?
A. 122.91 m C. 124.76 m
B. 221.19 m D. 214.67 m

A

C. 124.76 m

25
Q

A piece of property in downtown Houston is advertised for sale at Php45 per square foot. If the lengths of the sides of the triangular lot are 220 feet, 234 feet and 160 feet, then what is the asking price for the lot?
A. Php 791,836 C. Php 781,836
B. Php 761,836 D. Php 771,836

A

B. Php 761,836

26
Q

. Find each interior angle measure of a quadrilateral if its interior angles are represented by x + 10, 2x + 20, 3x – 50 and 2x – 20.
A. 800, 1000, 1200, 600 C. 500, 1100, 1500, 500
B. 700, 1100, 1200, 600 D. 600, 1200, 1000, 800

A

D. 600, 1200, 1000, 800

27
Q

The length of a side of a rhombus is 5cm. If its shorter diagonal is of length 6cm, find the area of the rhombus.
A. 20 cm2 C. 22 cm2
B. 24 cm2 D. 26 cm2

A

B. 24 cm2

28
Q

The volume of two spheres are in the ratio 27:343 and the sum of their radii is 10. Find the ratio of the surface area of the bigger sphere to the smaller sphere.
A. 5.44 C. 0.18
B. 4.56 D. 0.82

A

A. 5.44

29
Q

A steel tape is 100 m long at a standard pull of 65 N. Compute the pull correction in mm if during measurement the applied pull is 40 N. The tape has a cross-sectional area of 3.18 mm2 and a modulus of elasticity E = 200 GPa.
A. +3.93 mm C. -3.93 mm
B. +3.93 cm D. -3.93 cm

A

C. -3.93 mm

30
Q

A line was measured three times and yield the following results: 856.42, 856.69 and 856.12 m. Determine the probable error of the mean.
A. ±0.14 m C. ±0.27 m
B. ±0.11 m D. ±0.22 m

A

B. ±0.11 m

31
Q

A vertical parabolic curve has a back tangent of -4% and a forward tangent of +3%. If the stationing of PC is at Sta.1+100, locate the stationing of the lowest point of the curve. The length of curve is 200 m.
A. 1+200.14 C. 1+220.1
B. 1+214.29 D. 1+224.29

A

B. 1+214.29

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