PRACTICE EXAM 38
In an isosceles right triangle, the hypotenuse is how much longer than its sides?
2 ½ times
Find the distance from the point (5,-3) to the line 7x-4y-28=0
2.36
Solve log3 (5x+7)= 2 for x
2/5
A gasoline tank that is ½ full has 8 gallons removed. The tank is then 1/10 full. What is the capacity, in gallons, of the tank?
20
A man travels 4 miles north, 12 miles east, and then 12 miles north. How far, to the nearest mile, is he from the starting point?
20
After how many minutes from 12;00 o'clock noon will the minute hand and the hour hand of an clock make an angle of 1200 for the first time?
21.80 min
Find the area of a pentagon that is inscribed in a circle if the area of the circle is 314 sq.m.
237.60 sqm
Chenlee is as old as Kenneth was four years ago. In two years, chenlee's age will be eleven more than half of kenneth's age. How old is chenlee
24
If ab=6 and a2 +b2 = 13, then (a+b)(a+b)=
25
A father willed that his three sons's inheritance from him (starting from eldest) be in ratio 1:2:3. If the middle sons's inheritance was P27,000, how much did the third (or youngest) son inherit?
P40,500
What amount should be paid on February 14, 1991 on a loan of P5,090 made October 7, 1990 with 5 3/5% simple interest?
P5190.56
On a boy's seventh birthday, his parents deposited P5,000 in his name in a savings bank paying 1 3/8% every three months. Find the value of his savings when he reaches age 21
P6059.38
Vicky buys a refrigerator that sells for P4,800 cash. She pays P2,000 down payment and promises to pay the balance in 36 monthly equal payments. What is the size of her monthly payment, if interest is charged at 6% compounded monthly?
P85.18
Point (-2,6) is the center of a circle that is tangent to the x-axis. The coordinates of the point of tangency are
(-2,0)
Point C is ¾ of the way from A(1,-4) to B (-3,8). Determine the abscissa and ordinate of point C.
(-2,5)
What is the radius and the centre of the circle x^2+y^2-10x -4y-196=0
(5,2) r=15
How much money would a man have to invest at the rate of 5% per year, to have P1,470 at the end of the year?
P1400
Solve x4-9x2+8=0 for x
+/-2(2)^0.5, +/-1
Mercury boils at 6750 F. what is the boiling point of mercury in 0C?
357
a+b/b+a a-b/b-a
-1
A 14 cm inner diameter (i.d) water main furnishes water (through intermediate pipes) to a 1.00 cm id. Faucet pipe. It the average velocity in the faucet pipe is 3 cm/sec, what will be the average velocity (in cm/s) it causes in the water main?
0.0153
Find the value of x if the average of 1.0, 0.8, 0.2 and x is exactly 0.6
0.4
Find the values of x if 5-2x=7
1
Plumber A can finish a plumbing job in 2 days. Plumber B can finish the job in 3 days. Plumber C can do the job in 6 days. If they work together, how long will it take for them to finish the job?
1 day
Three pipes are used to fill a pool with water. One pipe alone can fill the pool in 9 hours. Another can fill it in 6 hours. The third can fill it in 3 hours. How many minutes will it take to fill this pool if all three pipes are used simultaneously?
1.63
A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and pipe A & pipe B are open, how many hours will take to fill up the tank?
1.875 hrs
A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. What is the rate of Pipe A
1/3
If a pipe fills a cistern in h hours, how much of the cistern does it fill in one hour?
1/h
What is the distance from point A(3,4) to point (3,-4)
10
What is the area of the square inscribed in the quadrant if the radius of the circle is 10 cm?
100 cm2
What is the volume of the sphere whose surface area is 108 sq.m.?
105.50 sqm
There are 252 students in a school. If the ratio of female to male students is 3:4, how many female students are there?
108
In a certain office, 1/3 of the workers are women, ½ of the women are married, and 1/3 of the married women have children. If ¾ of the men are married and 2/3 of the married men have children, what part of the workers is without children?
11/18
The pressure in a tank is 50 psi. Find the equivalent pressure head of water
115.38 ft
An alloy of copper and tin is 20% copper. How many pounds of copper must be added to 20 pounds of the alloy in order for the resulting alloy to be 50% copper?
12
A spherical steel ball is placed into a vertical circular cylinder containing water, causing the water level to rise by 12 cm. if the radius of the cylinder is 15 cm. What is the radius of the ball in cm?
12.65
The pressure in a tank is 50 psi. Equivalent pressure head of fuel oil with sp. Gr.= 0.92
125.42 ft
How many miles can a motorist travel from 9:55 am to 10:15 am at rate of 40 miles per hour?
13 1/3
At what rate of interest compounded quarterly will an investment double in four years?
14.4%
The hypotenuse of a right triangle is 34 cm. find the length of the shorter leg if it is 14cm shorter than the other leg.
16
A pulley whose diameter is 9 inches is connected by a belt to another pulley whose diameter is 6 inches. If the larger pulley runs at 1200 revolutions per minutes, at how many revolutions per minutes does the smaller pulley run?
1600
A rectangle lot 50 ft by 100 ft is surrounded in all sided by a concrete walk 5 ft wide. Find the number of square ft in the surface of the walk
1600
Plumber A is 8% taller than B, while B is 9% taller than C. by how much in percent is A taller than C?
17.72%
Of Ted's salary, 1/10 is spent for clothing, and 1/3 for food and for rent. What part of the salary is left for other expenditures and savings?
17/30
A salesman travels for 2 hours at 30 miles per hour and then covers 60 miles in the next 3 hours. What is the average rate for the entire trip?
18
What rate in percent compounded semi-annually is equivalent to 20% compounded annually?
19.09%
A drop of falling water passes a point 300 m from the ground at a speed of 20m/s. how high above the ground will it be 3 seconds later?
195.80 m
If 4 men can clear the garbage near a school in 6 hours, how many hours will it take 12 men working at the same rate to perform this task?
2
Six consecutive integers are given. Then sum of the first three is 27. What is the sum of the last three?
36
A tank is ¾ filled with oil. After 65 liters of oil are drawn out, the tank is still half full. How many liters can the tank hold?
260
In how many ways can 11 women be seated in a round table with eleven seats? a
3,628,800
A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipe are open, how many hours will it take to fill up the tank?
3.529 hrs
One gallon is equal to:
3.65 liters
A single deck of playing cards is shuffled well. One card is drawn followed by another. What is the probability of getting two Aces?
3/663
A motion was adopted by a vote of 5 to 3. What part of the total vote was against the motion?
3/8
Susan is 4 times as old as Paul and 1 ½ times as old as Mary. What fraction of paul's age is mary?
3/8
Three liters of 20 % alcohol solution is mixed with one liter of an X% alcohol solution. If new mixture contain 22.5% alcohol, what is the value of x?
30%
In triangle ABC, angle A = 450 and angle C=700. Find the side opposite angle A if line AB=40m
30.10 m
The arithmetic mean of 50 numbers is 32. If two numbers namely 16 and 48 are eliminated. Determine the new arithmetic mean
32
The width of a rectangle is 4/5 its length. If its perimeter is 72, what is its area?
320
Find the area bounded by the line x-2y+4=0
4
How many quartz of a 90% solution of alcohol should be mixed with a 75% solution of alcohol in order to make 20 quarts of 78% solution?
4
If x2 + y2 =2 and x2 - y2 =2, then x4-y4 =
4
A truck starts from rest and moves with constant acceleration of 5 m/s2. what is its distance traveled after 4 seconds has elapsed?
40
From the top of the tower A, the angle of elevation of the top of the tower B is 46 degrees. From the foot of tower B the angle of elevation of the top of tower A is 28 degree. Both towers are on a level ground. If the height of tower B is 120m. How high is tower A?
40.7 m
Find the distance from the origin to the line x+2y12=0
5.37
A marble with speed 20 cm/s rolls off the edge of the table 80 cm high. How far (in cm), horizontally, from the edge does the marble strike the floor?
5.71
An airplane flying with the wind, took 2 hours to travel 1000km. and 2.5 hours to fly back. What was the wind velocity in kph?
50 kph
The hour hand of a huge clock is 100 cm long. What is the circumferential speed of the tip of this hand in cm/hr?
52.36 cm/hr
A spherical steel ball is placed into a vertical circular cylinder containing water, causing the water level to rise by 12 cm. if the radius of the cylinder is 15 cm. What is the surface area of a sphere whose volume is 36 cu.m?
52.70 cum
The measure of 1.5 revolutions counter clockwise
540
A line segment L was measured once, twice and three times as follows: L= 55.210m, 2L=110.431m, 3L=165.634m
55.2125 m
A machine can cut some wood in 6 minutes, and a man using a hand saw can do it in 18 minutes. After 4 minutes there is a power shortage and the wood must be cut by hand saw. How many minutes must the man work to complete the task?
6
A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is half full and pipe A & pipe C are open, how many hours will it take to fill up the tank?
6 hrs
How many tiles are needed to cover a bathroom floor 3 m long and 2m wide if each tile is a square of side 1 decimeter?
60
How much water, in cm3, must be added to 100 cm3 of 80% solution of boric acid to reduce it to a 50% solution?
60
A bag of chicken feed 18 chickens for 54 days. For how many days will it feed 12 chickens?
72
The bases of a right prism are pentagons with each side 6 cm long. The bases are 12 cm apart. What is the volume of the prism?
743.40 cu. cm
The elevator in a eleven-storey office building travels at the rate of one floor per ¼ min, which allows time for picking up and discharging passenger. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 7 hours period?
76
From the top of the tower A, the angle of elevation of the top of the tower B is 46 degrees. From the foot of tower B the angle of elevation of the top of tower A is 28 degree. Both towers are on a level ground. If the height of tower B is 120m. What is the distance between tower A and B?
76.564
Find the 25th term of an arithmetic progression 5,8,11,14....
77
From the top of the tower A, the angle of elevation of the top of the tower B is 46 degrees. From the foot of tower B the angle of elevation of the top of tower A is 28 degree. Both towers are on a level ground. If the height of tower B is 120m. How many meters higher is tower B?
79.30 m
What is the Fahrenheit equivalent of 26.500 centigrade?
79.7 deg
If 3x=2y and 6y=7z, what is the ratio of x to z?
7:9
If each edge of a cube is decreased by 50%, how much percentage will the volume be decreased?
87.50%
If three secretaries can type six manuscripts in 12 days, how many days will it take two secretaries to type three such manuscripts?
9
Find the value of A if tan 4A=cot6A
9 deg
How many three digit number can be formed using digits 0-9?
900
A vertical pole 6 ft high casts a shadow 4 ft long. At the same time a tree casts a shadow 64 ft long. What is the height, in feet, of the tree?
96
From the top of the tower A, the angle of elevation of the top of the tower B is 46 degrees. From the foot of tower B the angle of elevation of the top of tower A is 28 degree. Both towers are on a level ground. If the height of tower B is 120m. An angle that measures from the horizontal upward to an object is called ___
Angle of elevation
An office equipment costing P42,000 depreciates to P11,500 in 10 years. What is the annual depreciation?
P3050
An increase in the value of a capital asset is called
Capital gain
One period of a sine or cosine function is called one ____of the sine and cosine curve.
Cycle
Which of the following depreciation methods cannot have a salvage value of zero?
Declining balance method
The lessening of the value of an asset due to the decrease in the quantity available preferring to the natural resources?
Depletion
Lands, buildings, plant and machinery are example of
Fixed assets
If the length of a rectangle is increased by 20% and the width is decreased by 20 %, what percent change occurs in the area?
It decreases 4 %
The first cost of a plumbing equipment is P 385,000. It has a life of 8 years and a salvage value of P 70,000. Find the annual depreciation using straight line method.
P 39,375.00
The pressure in a tank is 50 psi. Equivalent pressure head of nectar A. 39.25 ft B. 44.30 ft C. 37.55 ft D. 42.63 ft
WALA ANSWER. HEHE
A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. What is the rate of pipe C
¼