MATALAM SECONDARY MATHEMATICS OLYMPICS
Marbel National High School
Marbel, Matalam, Cotabato
September 26, 2014

MATH E- QUIZ

1. The top 5% of the graduating students in a big public high school were given scholarships in a state university. If there were 42 who were given state scholarships, how many graduating students were there?
a. 756 b. 798 c. 840 d. 882
2. A boy studied in a private school whose entrance fee was P3,500.00 and monthly tuition fee of P750.00. Had he studied in a public school, he could have saved 95% of his school fees. How much could be the boy’s savings had he studied in a public school?
a. P550 b. P1,100 c. P10,450 d. P11,000

3. A train used to travel a distance of  1,980 miles in 9 hours. If it has already traveled for an hour, how far is it from the midpoint of its destination?
a. 680 miles b. 770 miles c. 860 miles d. 990 miles

4. A cylindrical tank has a base area of 3.1 square feet, a height of 6 feet, and a top that is 2 feet across. How many gallons does it hold if there are 7.5 gallons in 1 cubic foot?
a. 9.9 b. 46.5 c. 60 d. 139.5
5. The city is building a swimming pool. The hole being dug is  100 feet long by 25 feet wide. The average depth is 5 feet. The trucks hauling the dirt away each hold 250 cubic feet. How many truck loads will be needed to haul away all the dirt?
a. 40 b. 50 c. 65 d. 75
6. One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
a. -2 and -16 b. 1 & 8 c. 3 & 24 d. 4 & 32
7. Find the coordinates of the vertex of the graph of y=2x2-12x+6.
a. (3,-12) b. (-3,-12) c. (3, 12) d. (-3, 12)
8. Give the slope of the line whose equation is  8x – 4y = 10.
a. 1 b. 2 c. 3 d. 4
9. What is the equation of the line in slope-intercept form that passes through the points
(2, 7) and  (1, 0)?
a. y= x+7 b. y= 7x +7 c. y=x-7 d. y= 7x-7
10. What is the axis of symmetry of the quadratic function f(x) =-2(x-1)2?
a. 2 b. -2 c. 1 d. -1
11.  What is the vertex of the quadratic function f(x) =-3(x-5)2?
a. (3,5) b. (5,3)   c. (0,5) d. (5,0)
12. A plane travels 2,125 miles in 5 hours. Find the plane’s rate of travel.
a. 315 mph b. 385 mph c. 425 mph d. 500 mph
13. Your SK Chairman planned to construct a basketball court . As a contractor, what will you do to realize the project?
a. Show a budget proposal c. present a feasibility study
b. make a budget plan d. give a financial statement
14. What must be added to 3x+4 so that the sum is 3x2 +x -4?
X+2                                 x2 -4
a. 3x +4 b. -3x-4 c. x+12 d. x-12
x2-4                  x2-4                            x2-4    x2-4
15. Jancent knows that AB = XY and AC=XZ. What other information must he know to prove triangle ABC ≡ triangle XYZ by SAS postulate?
a. ∟B ≡ ∟Y b. ∟C≡ ∟Z   c. ∟A ≡ ∟X