2nd Quarter SUMMATIVE TEST
Mathematics 9
(Weeks 1 and 2)
Name:_______________________________
Year/ Section:_________________________
Score:________________
Date:________________
A.MULTIPLE CHOICE: Encircle the letter that corresponds to the correct answer.
1. Find the constant of variation if y varies directly as x and y=24 when x=3.
A. 6
B. 7
C. 8
D. 9
2. If candies are sold at 3 pcs for Php2.00. How many candies can Jenny get if she has Php20.00?
A. 15
B. 20
C. 25
D. 30
3. If y varies inversely as x, which of the statements below is true?
A. as y increases, x also increases
C. as y increases, x decreases
B. as y increases, x remains the same
D. x is always greater than y
4. If a varies inversely as b, and a=12 when b = 4, find a when b = -16.
A. 48
B. 24
C. -8
D. -3
5. If w varies jointly as x and y and w=36 when x=3 and y=4, find w when x = -5 and y= 7.
A. 105
B. -105
C. 140
D. -140
6. Which of the following situations illustrates combined variations?
A. A varies directly as B and inversely as C
B. B varies jointly as D and inversely as M
C. P is directly proportional to Q and inversely proportional to R
D. All of the above
7. Translate this variation statement into an equation.
“The time t required to travel varies directly as the distance d and inversely as the rate r.”
A. t =
B. t =
C. t =
D.
t = kdr
B. Problem Solving
Analyze and solve the problem below. Show your solution. (3 points)
The number of hours h it takes m men to assemble x machines varies directly as the number of
machines and inversely as the number of men. If 3 men can assemble 12 machines in four hours, how
many men are needed to assemble 24 machines in 6 hours? Hint:
Rubric in Problem Solving
Criteria
Mathematical
Concept Used
Computations and
Accuracy
3
Has shown full understanding of
the concept as evidence of the
work presented
Computations presented were
complete with no errors and with
correct answer
2
Has shown some degree of
understanding of the concept as
evidence of the work presented
Computations presented
contains minor errors and with
correct answer
1
Has no knowledge of the
concept as evidence of the
work presented
Computations presented
were incomplete and
incorrect answer
Prepared by:
MERCEDITA I. ADRIATICO
Math Teacher
Noted by:
JACINTA B. YUSOPH
Education Program Supervisor – Mathematics