Republic of the Philippines
Department of Education
REGION IV-A CALABARZON
CITY SCHOOLS DIVISION OF DASMARIÑAS
SALAWAG NATIONAL HIGH SCHOOL
Thailand St., San Marino City, Brgy. Salawag, Dasmariñas Cavite
2nd QUARTER LONG TEST IN MATH 9
SY 2023 - 2024
General Directions: Read the questions carefully and choose the letter of the best answer. Write the
letter of your answers in a whole sheet of paper with your name and section.
1. Y varies directly with x, and y is 96 when x is 16. Which equation represents this situation?
1 1
A. y= x B. y= x C. y=6 x D. ¿ 16 x
6 16
2. If y varies directly as x and y = 12 when x=4, what is the value of y when x=12?
A. 3 B. 4 C. 36 D. 48
3. The number of hours to paint a house varies inversely with the number of painters working. A
2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need
to work in order to paint the house in 18 hours?
A. 8 B. 9 C. 10 D. 11
4. Which of the following equation represents direct variation?
A. y = kx B. y = k/x C. y = x/k D. y = mx + b
5. Assume that y varies inversely with x. If x=7 when y=4, what is y when x=2?
A. 4 B. 7 C. 14 D. 28
6. If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?
A. 4 B. 6 C. 100 D. 121
7. How your score in a test does vary to its equivalent percent?
A. directly B. inversely C. indirectly D. jointly
8. The amount of tickets in a cinema varies as the number of people who watched it. If the number
of people increases, what will be the effect in the amount of tickets?
A. increases B. doubled C. decreases D. remains the same
9. What kind of variation that describes the number of persons sharing a pie to the size of the slices
of the pie?
A. direct B. inverse C. joint D. combined
10. Which of the following situations illustrates a joint variation?
A. The heat required to melt a substance to its mass
B. The perimeter of a square to its side
C. The speed of the boat per hour to the amount of diesel
D. The volume of a rectangular box to its length, width, and height
11. Which of the following statements illustrates a combined variation?
A. The heat required to melt a substance to its mass
B. The perimeter of a square to its side
C. The speed of the boat per hour to the amount of diesel
D. The length of a rectangular box to its area, width, and height
12. The speed, s, of a moving object varies directly to the distance traveled, d, and varies inversely
to the time taken, t. What kind of variation illustrates this statement?
A. direct B. joint C. inverse D. combined
13. Using the statement in no. 10, which of the following relationships is true?
A. The shorter the time, the faster the speed.
B. The longer the time, the faster the speed.
C. The longer the distance, the slower the speed.
D. The shorter the distance, the faster the speed.
14. If 14 kg of dry green peas cost Php280, what is the cost of 20 kg of pulses?
A. Php 200 B.Php 360 C.Php 400 D. Php 650
15. 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. 3 days B. 4 days C. 5 days D. 6 days
16. The amount x varies inversely to y. Which equation expresses the given statement?
Address: Thailand St., San Marino City, Brgy. Salawag, Dasmariñas,Cavite
Telephone No. (046) 458 1607
Email Address: 300536@deped.gov.ph
Website: https://snhs.depeddasma.edu.ph/
Republic of the Philippines
Department of Education
REGION IV-A CALABARZON
CITY SCHOOLS DIVISION OF DASMARIÑAS
SALAWAG NATIONAL HIGH SCHOOL
Thailand St., San Marino City, Brgy. Salawag, Dasmariñas Cavite
k k
A. y=kx B. x=ky C. y= D. x=
x y
17. If x and y vary inversely, as y increases, what happens to the value of x?
A. increases B. doubled C. decreases D. remains the same
18. What type of variation where the situation produces a pair of numbers whose product is
constant?
A. direct B. joint C. inverse D. combined
19. Which is an example of inverse variation?
A. The time of the travel to the speed of the bike
B. The cost of apple to the number of pieces.
C. The total salary to the number of working days.
D. The amount of monthly expenditures to the number of family members.
20. y varies directly as x and inversely as z. If y = 5 when x = 2 and z = 4, what is y when x = 6 and z
= 3?
A. 5 B. 10 C. 15 D. 20
21. Which of the following describes a direct variation?
A. C.
B. D.
22. What kind of variation is shown in the graph?
A. direct variation C. inverse variation
B. joint variation D. combined variation
23. What kind of variation is shown in the graph?
A. direct variation C. inverse variation
B. joint variation D. combined variation
24. What type of variation does this scenario represent?
The grade you earn in a class and the number of assignments you complete and the number of
hours you study
A. direct variation B. joint variation C. inverse variation D. combined variation
25. If y varies directly with x and inversely with z, and y = 24 when x = 48 and z = 2, what is x when y
= 10 and z = 4?
A. 10 B. 25 C. 35 D. 40
26. Which equation satisfies the statement that m varies jointly with p and r, and m= 30 when p=6
and r= 2?
A. m=5pr B. m=3pr C. 30m=12pr D. 2m=6pr
27. The area of a rectangle varies jointly as the length and the width, whose A = 72 sq. cm when l =
3 cm and w = 2 cm.What is the area of rectangle if the length is 4 cm whose width is 3 cm?
A. 72 sq. cm B. 96 sq. cm D. 144 sq. cm D. 240 sq. Cm
28. If s varies directly as t and inversely as v, then which of the following equations describes the
relation
among the three variables?
k kv kt kt
A. s= B. s= C. s= D. s=
tv t 2v v
29. Mackee’s income varies directly as the number of days that she works. If she earns Php
8,000.00 in 20 days, how much will she earn if she worked 3 times as long?
A. Php 26,000 B. Php 24, 000 C. Php 20,000 D. Php 16,000
30. The time it takes to cover the distance between two cities by car varies inversely with the speed
of car. The trip takes 3 hours for a car moving at 36mph. how long does the trip take for a car
moving at 27mph?
A. 4 hours B. 6 hours C. 8 hours D. 10hours
Address: Thailand St., San Marino City, Brgy. Salawag, Dasmariñas,Cavite
Telephone No. (046) 458 1607
Email Address: 300536@deped.gov.ph
Website: https://snhs.depeddasma.edu.ph/
Republic of the Philippines
Department of Education
REGION IV-A CALABARZON
CITY SCHOOLS DIVISION OF DASMARIÑAS
SALAWAG NATIONAL HIGH SCHOOL
Thailand St., San Marino City, Brgy. Salawag, Dasmariñas Cavite
Address: Thailand St., San Marino City, Brgy. Salawag, Dasmariñas,Cavite
Telephone No. (046) 458 1607
Email Address: 300536@deped.gov.ph
Website: https://snhs.depeddasma.edu.ph/
