INSTRUCTION: Shade the circle which corresponds to the letter of your answer in the
answer sheet. If the answer is nt fond in the choices, choose letter E on the answer sheet.
1. What is the difference between an arithmetic sequence and a geometric sequence?
A. One sequence is finite while the other sequence is infinite.
B. One sequence is the sum of the numbers, and the other is a list of numbers.
C. One sequence has a common difference and the other has a common ratio.
D. None of these are correct.
2. In the sequence, 97, 86, 75, 64, …, what is a1?
A. 11 B. -11 C. 97 D. 53
3. What is the missing number in this pattern: 0, 3, 6, ___, 12?
A. 7 B. 9 C. -6 D. -12
4. Daisy received Php 200 on her first birthday. Each year, the amount of money she
received triples. How much money will she receive on her 5th birthday?
A. Php. 5 400 C. Php. 48 600
B. Php. 16 200 D. Php. 20 000
5. What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?
A. 1,600 B. 18,235 C.18,475 D. 19,125
6. The image below shows how certain bacteria grow in a petri dish. What is the
common ratio in this sequence?
A. 2 B. 3 C. 4 D. 6
7. What is the quotient when 10n2 - 37n -12 is divided by n - 4?
A. 10n-3 B. 3n-10 C. 10n+3 D. 3n+10
8. What is the factored form of x2 – 5x + 6?
A. (x – 2) (x - 3) C. (x + 2) (x + 3)
B. (x – 1) (x – 6) D. (x + 1) (x + 6)
9. Matty divided x4 + 3x2 – 4x -2 by factor (x-2) using synthetic division.
His work is shown at the figure. Which best describes his mistake?
A. He wrote the remainder incorrectly.
B. He did not use a zero placeholder for the x3 term.
C. He added instead of subtracting the rows.
D. He should have used -2 as his division since the factor was (x – 2).
10.A gardener is planting rows of flowers in his garden. He has 4x3 + 6x2 – 2x flower
bulbs to plant. He wants to plant them in rows of 2x bulbs each. How many rows of
flowers can she plant?
A. (2x2 + 3x – 1) rows C. (2x2 + 3x + 1) rows
B. (2x2 + 3x) rows D. (2x2 + 2x) rows
11.Which of the following is a polynomial function?
3
A. 𝑦 = 𝑥-3 + 2𝑥2 + 𝑥 – 1 C. 𝑦 = 3𝑥 − 2𝑥 + 5𝑥 – 4
B. 𝑓(𝑥) = 2𝑥 + 5 D. 𝑓(𝑥) = 𝑥0.8 - 3x + 1
12.Which refers to a set of points that are with the same distance from a fixed point?
A. center B. circle C. radius D. secant
13.What is the factored form of 𝑓(𝑥) = 𝑥3 – 2x2– 3𝑥?
A. 𝑓(𝑥) = (𝑥 − 3)( 𝑥 + 1) C. 𝑓(𝑥) = 𝑥(𝑥 − 3)(𝑥 + 1)
B. 𝑓(𝑥) = 𝑥2( 𝑥 + 3)( 𝑥 − 1) D. 𝑓(𝑥) = (𝑥 + 3)(𝑥 − 1)
14.What are the x-intercepts of the graph of 𝑦 = (𝑥 − 3)(𝑥 + 1) (𝑥 − 1)?
A. 3, 1, 1 B.−3, 1, 1 C. 3, 1, −1 D. −3, −1, −1
15.What is the distance between point A (−3, 1) and point B (11, 1)?
A. 11 B. 12 C. 13 D. 14
16.What is the radius of the circle given by the equation 𝑥2 + 𝑦2 − 8𝑥 + 2𝑦 − 32 = 0?
A. 5 B. 6 C. 7 D. 8
17.The area of a square garden is represented by (𝑥) = (36𝑥2− 96𝑥 + 64) 𝑠𝑞𝑢𝑎𝑟𝑒 𝑓𝑒𝑒𝑡.
How long is its side?
A. (6𝑥 + 8) 𝑓𝑒𝑒𝑡 B. (6𝑥 − 8) 𝑓𝑒𝑒𝑡 C. (3𝑥 + 4) 𝑓𝑒𝑒𝑡 D. (3𝑥 − 4) 𝑓𝑒𝑒t
18.The length of a rectangular garden is (𝑥 + 5) and the width is x. Which of the
following represents the area, 𝑓(𝑥), of the garden?
A. 𝑓(𝑥) = (𝑥 + 5𝑥) 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠 C. 𝑓(𝑥) = (𝑥3 + 5) 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠
B. 𝑓(𝑥) = (𝑥2 + 5𝑥) 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠 D. 𝑓(𝑥) = (𝑥 + 5𝑥2) 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡s
19.A dart board has a diameter of 30 cm. and is divided into 15 congruent sectors.
Which of the following is the area of one of the sectors?
A. 15𝜋 cm2 B. 20 cm2 C. 80 cm2 D. 800 cm2
20.Which of the following should be the value of y so that the distance between the
points (2, −2) and (2, y) is 7?
A. 2 B.3 C. 4 D.5
21.What do you call a list of all possible outcomes?
A. Sample space B. Probability C. Odds D. Probability
22.What does union of event consist of?
A. All the elements in set A and set B.
B. The common elements in set A and set B.
C. All the elements of A but not in B.
D. All the elements of B but not in A.
23.Which of the following DOES NOT illustrate compound events?
A. Getting a 4 or an even number in rolling a standard die.
B. Choosing a female and a grade 10 student.
C. Picking a blue or a pink dress in the closet.
D. Head turning up in tossing a coin once.
24.Which of the following shows a simple event?
A. Rolling a 3 or an even number on a fair six-sided die
B. Drawing an Ace of Spades from a standard deck of cards
C. Tossing a coin and getting a head
D. Picking a red or a blue marble from a bag containing only red, green, and blue
25.In the experiment of rolling a single six-sided die, which of the following represents
event P if the outcomes must be even numbers?
A. P = {2, 4, 5} C. P = {2, 4, 6}
B. P = {1, 3, 5} D. P = {1, 2,3, 4, 5, 6}
26.In how many ways can 3 different vases be arranged on a tray?
A. 12 B. 3 C. 9 D. 6
27.How many 2-digit numbers can you make using the digits 1, 2, 3, and 4 without
repeating the digits?
A. 90 B. 100 C. 12 D. 24
28.A letter is randomly chosen from the word “MATHEMATICS”. Find the probability
that a letter A or T is selected. Answer: 4/11
29.There are 7 students in a class: 5 boys and 2 girls. If the teacher picks a group of 4
at random, what is the probability that everyone in the group is a boy? Answer: 5/21
30. Mark's experimental probability of catching a ball is equal to 8 out of 10. About what
percent of the time will Mark catch a fly ball?
A. 0% B. 20% C. 80% D. 100%
31. The median is also called __________.
A. 75th percentile B. 5th decile C. 3rd decile D. 1st quartile
32.What is the term for each score point that describes a distribution when it is divided
into hundreds of equal parts?
A. Percentile B. decile C. quartile D. Median
33.Which of the following is NOT a measure of position?
A. Range B. quartile C. decile D. Percentile
34.In a set of scores: 14, 8, 12, 19, and 10 what is the value of Q2?
A. 8 B. 12 C.14 D. 19
35.What is the upper quartile (Q3) for the given data set (23, 34, 27, 7, 30, 26, 28, 31,
34), rounded to the nearest tenths?
A. 30.5 B. 31.5 C.32.5 D. 33.5
36.What is the Q1 of this data set 6, 7, 2, 1, 5, 2, 1, 6?
A. 1 B. 1.5 C.2 D. 2.5
37.Angie ranks 10th in a class of 40, what is her percentile rank?
A. 90 B. 75 C. 50 D.45
38.Mhel's score in a 75-item test was the median score. What is his percentile rank?
A. 75th B. 50th C. 25th D. 10th
For numbers 39-40, refer to the given situation below.
Mr. Ivan Reyes a bank manager is interested in the amount of time it takes
his teller to provide a service to the depositors. On a particular morning, he asked his
secretary to record the service time that was provided for 15 customers. The time is
given to the nearest minute: 6, 9, 7, 5, 15, 10, 9, 7, 4, 9, 10, 9, 8, 6, 7.
39.What is the value of P75?
A. 7 B. 8 C. 9 D.10
40.What is the value of the lower quartile?
A. 5 B.6 C. 7 D.8
