SAN GUILLERMO NATIONAL HIGH SCHOOL
San Guillermo, Morong, Rizal
Mathematics 9 – Third Periodical Test
Name: ______________________________ Date: ____________ Score:_____________
I. Read and understand each item carefully. Write the letter of the correct answer in the space
provided for.
3
______1. Simplify :√125
a. 5 b. 6 c. 4 d. 3
______2. Divide √18 by √2
a. 2 b. 3 c. 4 d. 5
______3. The sum of and 6√10 and √10 is _______.
a. 6√20 b. 7√10 c. 60 d. 600
______4. Simplify : 7√5 - 2√5 + 3√5
a. 8√5 b. 6√5 c. 2√5 d. 10√5
______5. The sum of 5√45 + 4√80 is _______.
a. 9√5 b. 16√5 c. 18√5 d. 10√5
______6. Simplify : √𝑥 + 2 = 7
a. 5 b. 25 c. 47 d . 49
______7.If y varies directly as x and y = 40 and x = 5 , find the variation constant .
a. 6 b. 7 c. 8 d. 200
______8. If y varies directly as x . When x= 3, y= 9 , what is the value of y if x = 4 .
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a. 3 b. 6 c. 9 d. 12
______9. If y varies inversely as x and x = 5 when y = 9, find y when x = 15 .
a. 2 b. 3 c. 3 d. 4
______10. If y varies inversely as x . When x = 4 and y=7 , what is the value of y if x = 7 ?
a. 3 b. 4 c. 5 d. 6
______11. Y varies directly as x and y = 32 wen x = 4 . Find the constant of variation .
a. 8 b. 36 c. 28 d. 128
______12. If y varies inversely as x and y = 1/3 when x = 8 , find y when x = -4.
a. -2/3 b. 2/3 c. -32/3 d. 32/3
______13. 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. 6 c. 5 d. 4
______14. What is the result when we simplify 6 -√2 ?
4 – 3√2
a. 5 b. -2√2 c. 5 - √2 d. – 9 - 7- √2
______15.Which of the following is the result when we simplify ( 2√8 + 3√5 ) ( 6√8 + 7√5 )
a. 12√64 + 14 √40 + 18 √40 + 21 √25
b. 12 √8 + 32 √40 + 21 √5
c. 5 - √2
d. -9 - 7√2
_______16. If y varies jointly with x and z and y1= 12 when x1 = 4 and z1 = 20 , find y2= when
x2= 6 and z2 = 30 .
a. 11 b. 12 c. 13 d. 14
_______17. If z varies directly as x and inversely as y, and z= 9 when x= 6 and y= 2 , find z
when x= 8 and y = 12.
a. 1 b. 2 c. 3 d. 4
______18. W varies directly as the square of x and inversely as p and q .If w= 12 when x =4,
p= 2 and q = 20 . Find w when x= 3 ,p=8 and q= 5 .
a. 10 b. 9 c. 27/4 d. 5
______19. The cost of ballpens varies with the number of ballpens. If 4 ballpens cost P 24.00,
how much will 15 ballpens cost ?
a. P80 b. P 90 c. P 100 d. P 85
______20. If y varies directly as x and y1 = 14 when x1 = 8, what is y2 when x2 = 12
a. 12 b. 10 c. 14 d. 16
II. A. Translate each statement into a mathematical sentence.
1. B varies jointly as e and a _______________________
2. The rate r at which a person types a certain manuscript varies inversely as the time
T spent in typing _______________________
3. The volume V of a cylinder varies as its height h ______________________
4. The base b of a triangle varies inversely as its altitude h _________________
5. The area A of a parallelogram varies jointly as the base b and the altitude h
__________________________
B. Solve for the value of the constant of variation k.
1. y varies inversely as x and y = 12 when x = 5
2. y varies directly as x and y = 25 when x = 8
3. y varies inversely as x and y = 36 when x = 12
4. z varies directly as x and inversely as y, and z = 9 when x = 6 and y= 2
5. z varies jointly as x and y . If z= 16 when x = 4 and y= 6
III. Solve the following .
1. 8 men can paint a house in 10 days . How many days would it take 14 men to do the same
job?
2. A deposit of Php 15,000 earns Php 1,350 , how much will a deposit of Php 45,000 earn with
the same rate ?
3. Julius is figuring out a way to reach Baguio at the shortest possible time. Using his car , he
can reach Baguio in 6 hours at an average speed of 70 km per hour. How fast should he drive
in order to reach Baguio in 5 hours ?
Prepared by : Checked / Reviewed by :
JENNY G. DELOS SANTOS SUSAN I. ARALAR ROQUITA S. SUYOD
Math Teacher Math Chairperson Principal II
