Metrobank MTAP DepEd Math Challenge Reviewer III Second Year Name: _______________________________________________________________________
Score:
School: ________________________________________________________________________
Time: 2 hours
Write your answer on the space provided. Write equations using the form Ax+By+C=0 and y=Ax2+Bx+C.
______________________1. Simplify by removing negative exponents: ______________________2. Evaluate
if
.
______________________3. Write in mathematical symbols: “the quotient of thrice x divided by 5 is at most 1 .” ______________________4. Find the least common multiple of
.
______________________5. What is the domain of the function ______________________6. The midpoint of the segment joining (-4, 2) and point R is (2, 4). Give the coordinates of point P. ______________________7. Find the slope of the line
.
______________________8. Determine the equation of the line that passes through the point (8, 2) and is parallel to the line 1 . ______________________9. Give the equation of the line with an x-intercept of and y-intercept of -1. ______________________10. Solve the equation:
1
.
______________________11. Find the values of x that will satisfy:
1
5
1 .
______________________12. Find x and y that will satisfy both
1.
______________________13. Simplify: √ ______________________14.
ultiply: √
√
______________________15. Factor: ______________________16. Factor:
. 1
______________________17. Factor: ______________________18. Reduce to lowest terms: ______________________19. Perform the following operations and simplify:
1
______________________20. Determine the domain of ______________________21. Solve for x:
√
1
______________________22. Find the value(s) of x that will satisfy: √
5
√
1
.
______________________23. onvert
1 to the form
.
______________________24. Find the discriminant of the function
5.
______________________25. Determine the y-intercept of the function
5
______________________26. The roots of a quadratic equation are
. Find the equation.
______________________27. Find the values of x that will satisfy:
.
______________________28. Find the domain of the function
.
______________________29. Find the range of the function ______________________30. Determine the vertex of
. 11
______________________31. Solve for if ______________________32. Determine the axis of symmetry of
1 .
______________________33. Find x: ______________________34. Solve the following inequality: ______________________35. If are the roots of 15 whose roots are the squares of the roots of the given equation.
. , find an equation with integer coefficients
______________________36. The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 4000 miles, how much would a 200-pound man weight 1000 miles above the surface of the earth? ______________________37. If if
when
varies jointly as and the square of and
15
. Find
.
______________________38. In an arithmetic progression, if
and
. Find the thirty-fourth term.
______________________39. Find the sum of all the multiples of 6 greater than 50 but less than 295. ______________________40. If x+1, x+4 and 5x+2 are in geometric progression. Find the sum of the first ten terms of the sequence whose terms are integers. ______________________41. Insert three positive geometric means between
and 1
.
______________________42. The admission fee at a small fair is P1.50 for children and P4.00 for adults. On a certain day, 2200 people enter the fair and P5050 is collected. How many children attended? ______________________43. The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number. ______________________44. Find the equation of the parabola that passes through the points (–1, 9), (1, 5), and (2, 12). ______________________45. Snorlax is the most gluttonous Pokemon eating food with three times the weight of the food he ate the previous day. If he ate 2 grams of food during the first day, what is the total weight of food he ate after 9 days?
______________________46. The surface area of a cube is find the volume of the cube.
1
. If one side of a face of the cube is x meters,
______________________47. Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver alloy to obtain a 500g of a 91% Silver alloy? ______________________48. A motorboat can go 10 miles downstream on a river in 20 mins. It takes 30 mins for this boat to go back at the same 10 miles. Find the speed of the current. ______________________49. A warehouse manager wants to fence a rectangular area behind his warehouse. He has 120 meters of fencing available. If the side against the building does not need to be fenced, what is the maximum enclosed area? ______________________50. The roots of the quadratic equation, Determine the sum of the square of the roots.
51
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differ by 5, where k is real.
