Second Periodical Test in Math 10
Second Periodical Test in Math 10
Second Periodical Test in Math 10
1. In how many ways can 4 people arrange themselves in a row for picture taking?
2. If Kevin has 12 T-shirts, 6 pairs of pants, and 3 pairs of shoes, how many possibilities can he dress
himself up for the day?
3. Find the number of permutations of the letters of the word PHILIPPINES.
4. In how many ways can 6 people be seated around a circular table?
5. If there are 10 teams in a basketball tournament and each team must play every other team in the
eliminations, how many elimination games will there be?
6. In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must
have 3 seniors?
7. Brian likes to wear colored shirts. He has 10 shirts in a closet. Three of these are blue, four are in
different shades of red and the rest are of mixed or different colors. What is the probability that he will
wear a blue or a red shirt?
1. P(8,3)
2. P(10,5)
3. C(8,6)
4. C(14,10)
III. Study the following situations. Identify the situation if it is a permutation or a combination.
1. Determining the top three winners in a Science Quiz Bee.
2. Forming lines from six given points with no three of which are collinear
3. Forming triangles from 7 given points with no three of which are collinear
4. Four people posing for pictures
5. Assembling a jigsaw puzzle
6. Choosing 2 household chores to do before dinner
7. Selecting 5 basketball players out of 10 team members for the different positions
8. Choosing three of your classmates to attend your party
9. Picking six balls from a basket of 12 balls
10. Forming a committee of 5 members from 20 people
Ma’am Malyne
9. A box contains 10 balls numbered 1 to 10. If a ball is drawn randomly from the box, what is the
probability that it is
a. divisible by 2 and divisible by 5
b. less than 4 and divisible by 3
c. a 5 and a 10
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Second Periodical Test in Math 10
Choose the letter that you think best answers the question.
1. Which of the following could be the value of n in the equation f(x) = x n if f is a polynomial function?
A. -2 B. 0 C. ¼ D. 3
2. Which of the following is NOT a polynomial function?
A. f(x) = 𝜋 C. f(x) = -x + 5 x3
B. f(x) =- 2/3 x3 + 1 D. f(x = x 1/5 – 2x2
3. What is the leading coefficient of the polynomial function f(x) = x – 2x3 – 4?
A. -4 B. -2 C. 1 D. 3
4. How should the polynomial function f(x) = 1/2x – x2 + 11x4 + 2x3 be written in standard form?
A. f(x) = 11x4 + 2x3 + 1/2x – x2 C. f(x) = 11x4 + 2x3 – x2 +1/2x
B. f(x) =– x2 + 1/2x + 2x3 + 11x4 D. f(x) = 1/2x – x2 + 2x3 + 11x4
5. Which polynomial function in factored form represents the given graph?
A. y = (2x + 3)(x – 1)2
B. y = -(2x + 3)(x – 1)2
C. y = (2x + 3) 2 (x – 1)
D. y = -(2x + 3) 2 (x – 1)2
6. If you will draw the graph of y = x2 ( x – 1), how will the graph behave at the x – axis?
A.The graph crosses both (0,0) and (1,0).
B.The graph crosses (0,0) and is tangent to the x – axis at (1,0).
C.The graph crosses (1,0) and is tangent to the x – axis at (0,0).
D.The graph is tangent to the x – axis at both (0,0) and (1,0).
7. You are asked to graph f(x) = -x6 + x5 - 5x4 - x3 + 3x2 –x using its properties. Which of these will be your graph?
A. B. C. D.
8. Given that f (x) = 7x-3n + x2 , what value should be assigned to n to make f a function of degree 7?
7 3 3 7
A. −3 B. C. D.
7 7 3
9. If you were to choose from 2, 3 4, which pair of values for a and n would you consider so that y = ax n
could define the graph below?
A. a = 2 , n = 3
B. a = 3 , n = 2
C. a = 2 , n = 4
D. a = 3 , n = 3
10. What are the end behaviors of the graph of f(x) = -2x + x3+ 3x5- 4?
A. rises to the left and falls to the right
B. falls to the left and rises to the right
C. rises to both directions
D. falls to both directions
11. Your friend Aaron Marielle asks your help in drawing a rough sketch of the graph of y = -( x2 + 1)(2x4 – 3) by
means of the Leading Coefficient Test. How will you explain the behavior of the graph?
A. The graph is falling to the left and rising to the right.
B. The graph is rising to both left and right.
C. The graph is rising to the left and falling to the right.
D. The graph is falling to both left and right.
12. Lein Andrei is tasked to choose from numbers -2, -1, 3, and 6 to form a polynomial function in the form of y = ax n.
What values should he assign to a and n so that the function could define the graph below?
A. a = 3 , n = -2
B. a = 3 , n = 6
C. a = 6 , n = 3
D. a = -1 , n = 6
22. What is the total measure of the central angles of a circle with no common interior parts?
A. 480
B. 360
C. 180
D. 120
23. What kind of angle is the inscribed angle that intercepts a semicircle?
A. Straight
B. Obtuse
C. Right
D. Acute
24. How many line/s can be drawn through a given point on a circle that is tangent to the circle?
A. Four
B. Three
C. Two
D. One
25. In the circle on the right, what is the measure of <SRT if AST is a semicircle and m<SRA = 74?
A. 16
B. 74
C. 106
D. 154
26. What is an angle whose vertex is on a circle and whose sides contain chords of the circle?
A. Central angle C. Circumscribed angle
B. Inscribed angle D. Intercepted angle
27. In S at the right, what is m<VSI if mVI = 140?
A. 35 C. 140
B. 75 D. 230
28. In the circle below, what is the measure of <SAY if DSY is a semicircle and m<SAD=70?
A. 20 C. 110
B. 70 D. 150
30. A point where the function changes from decreasing to increasing or from increasing to decreasing values is
called________.
A. Crossing point B. Falling point C. Turning point D. Rising point