- 1. 1.Which of the following situations illustrates quadratic equation?
A) A garden’s length is 7m longer that its width and the area is 18 square meter.
B) Joey paid at least P2,000 for the shirt and pants. The cost of pants is P700 more than the shirt.
C) The length of a rectangular board is 3m longer than the width and the perimeter is 25m
D) A lot cost P4,000 per square meter and the area is 120 square meters.
- 2. Ryan is constructing a play house. He wants each window to have an area of 315 cm2. Which of the statements below forms a quadratic equation?
A) The area of the window is twice its width.
B) The sum of the length and width is twice its area
C) The length of each window is 6 cm more than the width.
D) The length of each window is 4 less than the square of the width
- 3. How tall is the flagpole in Sta. Lucia High School if a 3m vertical stick casts a
4m shadow and the flagpole casts a 12m shadow?
A) 6 m
B) 9m
C) 3m
D) 12m
- 4. The time it takes to hear thunder varies directly with the distance from lightning. What do you mean by this statement?
A) The distance of the lightning has no effect in the time it takes to hear the thunder
B) The nearer you are from the lightning, the louder you hear the thunder
C) As the distance from lightning increases, the shorter the time it takes you to hear the thunder
D) As the distance from lightning increases, so does the time it takes you to hear the thunder
- 5. The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right-angle triangle is formed. Find the length of each side of the equilateral triangle.
A) 13 units
B) 2units
C) 17 units
D) 5 units
- 6. Smith and Johnson together can do a piece of work in 4 days. If they had to work separately, the time taken by Johnson to do the work would be more than that of Smith by 6 days. In how many days can Smith alone do the work?
A) 10 days
B) 8 days
C) 6 days
D) 7 days
- 7. An office has two envelope stuffing machines. Working together they can stuff a batch of envelopes in 4 hours. Working Separately, it will take the second machine 6 hour longer than the first machine . How long would it take for the second machine to stuff a batch of envelopes?
A) 10
B) 12
C) 11
D) 20
- 8. John, Luke and Mark can finish painting the fence in 2 hours. If John does the job alone, he can finish it in 5 hours. If Luke does the job alone, he can finish it in 6 hours. How long will it take for Mark to finish the job alone?
A) 3 hrs.
B) 1 hr.
C) 7.5 hrs.
D) 5 hrs.
- 9. Two pipes working together can fill a tank in 35 minutes. If the large pipe alone can fill the tank in 24 minutes less than the time taken by the smaller pipe then find the time taken by large pipe working alone to fill the tank.
A) 20 mins.
B) 50 mins.
C) 60 mins.
D) 84 mins.
- 10. The floor of a conference hall can be covered completely with tiles. Its length is 36 ft longer than its width. The area of the floor is less than 2,040 square feet. What mathematical sentence would represent the given situation?
A) w2 + 25w<1800
B) w2 -25w<1800
C) w2 -25w>1800
D) w2 + 25w<1800
- 11. An open box is to be formed out a rectangular piece of cardboard whose length is 12 cm longer than its width. To form the box, a square of side 5 cm will be removed from each corner of the cardboard. Then the edges of the remaining cardboard will be turned up. If the box is to hold at most 1900cm3 , what mathematical statement would represent the given situation?
A) x2-12x is less than or equal to 380
B) x2-17x is less than or equal to 310
C) x2-8x is less than or equal to 400
D) x2-12x is less than or equal to 360
- 12. In a Geometry class, the ratio of the number boys to the number girls is 2 to 3. If there are 20 students in this class, how many girls are there?
A) 20
B) 8
C) 12
D) 30
- 13. Sandy wants to give a party for 90 people. She has a punch recipe that makes 2 gallons of punch that serve 15 people. How many gallons of punch should she make for her party?
A) 2
B) 6
C) 12
D) 4
- 14. A barbecue spareribs recipe that serves 4 people needs one kilo of pork spareribs. If you want to prepare the dish for 20 people in a family gathering, how much pork spareribs do you need?
A) 6 kilos
B) 4 kilos
C) 7 kilos
D) 5 kilos
- 15. Five notebooks cost Php162.5. If I will buy12 notebooks at this rate, how much will I spend?
A) Php325
B) Php163.5
C) Php32.5
D) Php390
- 16. Elaine drove her car 99 kms and used 9 liters of fuel. Assuming that the car will continue consuming fuel at the same rate, how many kilometers can she drive with 12 liters of fuel?
A) 121
B) 132
C) 143
D) 118
- 17. How far from the base of a building must a 20-foot ladder be placed to lean against the building and makes an angle of 60° with the ground?
A) 24ft.
B) 20√3ft.
C) 10√3ft.
D) 10 ft.
- 18. If 3 men can do a portion of a job in 8 days, how many men can do the same job in 6 days?
A) 7
B) 4
C) 6
D) 5
- 19. The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 180 cubic centimeters when the temperature is 150ºK and the pressure is 10 pounds per square centimeter, what is the volume when the temperature is 210ºK and the pressure is 30 pounds per square centimeter?
A) 74cm3
B) 80cm3
C) 56cm3
D) 84cm3
- 20. Hooke’s Law for an elastic spring states that the distance a spring stretch varies directly as the force applied. If a force of 160 newtons stretches a spring 5 cm, how long will a force of 368 newton’s stretch the same spring?
A) 0.03 cm
B) 32 cm
C) 11.5 cm
D) 23 cm
- 21. A bottle of 150 vitamins cost P375, if the cost varies directly with the number of vitamins in the bottle, what should a bottle with 250 vitamins cost?
A) P500
B) P620
C) P265
D) P600
- 22. The cost of 16 bags of washing powder, each weighing 1.5 kg, is Php 672. Find the cost of 18 bags of the same powder, each weighing 2 kg.
A) Php 1008
B) Php 1338
C) Php 1000
D) Php 1128
- 23. If a car covers 102 km in 6.8 liters of petroleum, how much distance will it cover in 24.2 liters of petroleum?
A) 363 km
B) 375 km
C) 396 km
D) 330 km
- 24. At 2:00 pm, a student whose height is 5 feet casts a 3-foot shadow. At the same time, how long is the shadow cast by a 35-foot flagpole?
A) 27 ft
B) 15 ft
C) 33 ft
D) 21 ft
- 25. At 3:00pm, a man, 4 feet tall, casts a 6-foot shadow. What is the ratio of the shadow lengths of the student and the flagpole?
A) 1:3
B) 1:5
C) 1:9
D) 1:7
- 26. Five times the square root of 1 less than a number is equal to 3 more than the same number. Find the numbers.
A) -17 and -2
B) 15 and 4
C) -15 and -4
D) 17 and 2
- 27. The perimeters of two similar triangles are 20cm and 32cm. What is the length of the altitude of the bigger triangle if the length of the altitude of the smaller triangle is 10cm?
A) 22 cm
B) 8 cm
C) 12 cm
D) 16 cm
- 28. The Illumination (I) on a page is proportional to the wattage (w) of the lamp and inversely proportional to the square of the distance (d) from the lamp. Which of the following statements explains this relationship?
A) As the illumination and wattage increase, the distance decreases.
B) As the illumination and distance increases, the wattage also increases.
C) As the wattage and distance increase, the illumination decreases.
D) As the illumination increases, the wattage and distance also. increase.
- 29. The speed, s, of a moving object varies directly to the distance traveled, d, and varies inversely to the time taken, t. Which of the following relationships is true?
A) The shorter the distance, the faster the speed.
B) The longer the distance, the slower the speed.
C) The longer the time, the faster the speed.
D) The shorter the time, the faster the speed.
- 30. 30.The ratio of the sides of two similar triangles is 3:5. If the area of the smaller triangle is 27 cm2, what is the area of the bigger triangle?
A) 75 cm2
B) 15 cm2
C) 45 cm2
D) 35 cm2
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