Free Printable Summative Test

1.

What are the factors of x² + 6x – 72?

a)

(x – 72) (x + 5)

b)

(x – 6) (x + 12)

c)

(x – 10) (x + 9)

d)

(x – 4) (x + 18)

2.

What will be the remainder in the operation?

a)

-556

b)

-59

c)

56

d)

569

3.

If x + 3 is a factor of x³ + 2x² – 9x – 18, what are the other factors?

a)

(x + 2) (x – 3)

b)

(x – 2) (x + 3)

c)

(x + 2) (x + 3)

d)

(x – 1) (x + 6)

4.

What are the real roots of the equation x³ + 5x² – 4x – 20 = 0?

a)

{-5, -2, 2}

b)

{-5, 2, 5}

c)

{-5, -2, 5}

d)

{-2, 2, 5}

5.

What is the sum of the terms of an arithmetic sequence from a₁ = 9 to a₉ = 81?

a)

360

b)

405

c)

450

d)

630

6.

Which of the following is NOT a root of the polynomial equation x³ + 5x² – 9x – 45 = 0?

a)

-5

b)

-3

c)

3

d)

5

7.

To get the next terms in the geometric sequence 1, 2, 4, 8, …, we ________________.

a)

add a constant ratio

b)

multiply a common ratio

c)

add a common difference

d)

multiply a common difference

8.

What is the common difference of the sequence -40, -22, -4, 14, ….?

a)

-18

b)

-12

c)

18

d)

12

9.

The leading term in this polynomial expression 128x + 2x⁵ – 40x³ is ________.

a)

128x

b)

2x⁵

c)

128

d)

2

10.

Which of the following is a polynomial expression to the 4^th degree?

B. 4p⁴ -

a)

4m² + 4m – 8

b)

– 4w³ + w² + 4

c)

4z⁴ – 8z³ + z² + 4

d)

11.

The average fuel (in gallons) consumed by an individual vehicle is modeled by the function 𝑓(𝑡) = 𝑡³ + 10𝑡 + 300, where t is the number of years. Find the average fuel consumed by an individual for 6 years.

a)

986

b)

576

c)

466

d)

216

12.

A researcher predicts that the population of Philippines will be 12.3 million in 2012 and will increase by about .13 million per year until 2022. This expressed as 𝑓(𝑥) = 0.13𝑥 + 12.3, where x is the number of years since 2012. what will be the estimated population 5 years after?

a)

15.2 𝑚𝑖𝑙𝑙𝑖𝑜𝑛

b)

14.12 𝑚𝑖𝑙𝑙𝑖𝑜𝑛

c)

13.50 𝑚𝑖𝑙𝑙𝑖𝑜𝑛

d)

12.95 𝑚𝑖𝑙𝑙𝑖𝑜𝑛

13.

The 50th percentile is referred to as the ___________________.

a)

First decile

b)

Second decile

c)

Fifth decile

d)

Fourth decile

14.

Factor the expression completely: 2x² + 4x – 16.

a)

2(x+4)(x-4)

b)

2(x- 2)(x+ 4)

c)

2x(x- 2)(x+ 4)

d)

2(x+ 2)(x- 4)

15.

Which of the following is the solution of the equation 𝑥 + 9 = 0?

a)

9

b)

−9

c)

10

d)

−1

16.

What are the roots of the function 𝑦 = 𝑥³ + 𝑥² − 8𝑥 − 12?

a)

2,2,𝑎𝑛𝑑 3

b)

−2,−2,𝑎𝑛𝑑 3

c)

2,−2,𝑎𝑛𝑑 3

d)

−2,−2,𝑎𝑛𝑑 − 3

17.

What are the end behaviors of the graph of 𝑓(𝑥) = 𝑥³ + 4𝑥² − 𝑥 – 4?

a)

Falls to both directions

b)

Rises to both directions

c)

Falls to the left and rises to the right

d)

Rises to the left and falls to the right

18.

What should be the value of n so that 𝑓(𝑥) = 𝑥^𝑛 defines a polynomial function?

a)

An integer

b)

Any number

c)

A nonnegative integer

d)

Any number except zero

19.

The leading term in this polynomial expression, 128𝑥 + 2𝑥⁵ − 40𝑥³ , is ____.

a)

128

b)

128𝑥

c)

2

d)

2𝑥⁵

20.

The process of dividing a polynomial by a linear factor in the way shown on the right is called _____.

a)

FOIL method

b)

squaring

c)

long division

d)

synthetic division

21.

What is the constant term of the function 𝑓(𝑥) = 9 + 4𝑥 ³ − 8𝑥 ² + 5𝑥?

*

a)

4𝑥 ³

b)

−8𝑥 ²

c)

5𝑥

d)

9

22.

What is the measure of angle XZY? .

a)

104⁰

b)

52⁰

c)

46⁰

d)

34⁰

23.

Name a pair of congruent angles in the figure.

a)

∠ 𝐴𝐵𝐶 𝑎𝑛𝑑 ∠ 𝐷𝐴𝐵

b)

∠ 𝐷𝐴𝐵 𝑎𝑛𝑑 ∠ 𝐵𝐶𝐷

c)

∠ 𝐵𝐶𝐷 𝑎𝑛𝑑 ∠ 𝐴𝐷𝐶

d)

∠ 𝐴𝐷𝐶 𝑎𝑛𝑑 ∠ 𝐵𝐴𝐶

24.

What is the sum of the measures of the central angles of a circle with no common interior points?

a)

480°

b)

360°

c)

240°

d)

120°

25.

In the figure below, the segment joining the centers of the two circles is _____.

a)

segment AC

b)

segment IJ

c)

segment GH

d)

segment EF

26.

What is the y-intercept of the polynomial function 𝑓(𝑥) = 𝑥 ³ + 2𝑥 ² − 5𝑥 − 6?

a)

2

b)

3

c)

−5

d)

−6

27.

For items 27 - 29 , refer to the figure below.

27. m ∠ 5 = _____

a)

25

b)

75

c)

85

d)

105

28.

m ∠ 2 = _____

a)

20

b)

40

c)

30

d)

60

29.

If segment 𝐴𝐶̅̅̅̅ 𝑖𝑠 𝑎 𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟, what do you call arc 𝐴𝐶𝐵 ̂

a)

circle

b)

semicircle

c)

major arc

d)

minor arc

30.

Simplify: (2𝑥 ³ − 4𝑥 ² + 8𝑥 + 12) − (𝑥 ³ + 5𝑥 ² − 7𝑥 + 10)

a)

𝑥 ³ + 𝑥 ² + 15𝑥 + 2

b)

𝑥 ³ + 𝑥 ² + 𝑥 + 2

c)

𝑥 ³ − 9𝑥 ² + 15𝑥 + 2

d)

𝑥 ³ + 9𝑥 ² + 𝑥 + 2

31.

Given 50 multiple-choice items in Mathematics test, the scores of 10 students are the following: 35, 38, 48, 21, 18, 28, 46, 22, 43, 27. What is the position of Q3?

a)

5th

b)

6^th

c)

7th

d)

8th

32.

A school canteen offers 4 milk tea flavors, 3 sandwiches , and 2 sides (fries & pie). In how many ways can a student select an item from each kind (milk tea, sandwich, & sides)?

a)

288

b)

24

c)

144

d)

9

33.

It is an arrangement of all or part of a set of objects, with regard to the order of arrangement.

a)

factorial notation

b)

permutation

c)

counting principle

d)

probability

34.

What term is referring to a table which shows that the data is arranged into different classes and the number of frequencies which fall into each class?

a)

Frequency Distribution

b)

Organized Data

c)

Grouped Data

d)

Ungrouped Data

35.

Which of the following conditions involves permutations?

I. the arrangement of letters in the password of your Facebook account

II. choosing three students from your class to attend a conference

III. the order of the winners in a contest

a)

I & II

b)

I & III

c)

II & III

d)

I, II & III

36.

“The number of ways to arrange seven children in a row”

a)

P(7,0)

b)

₇P₇

c)

P(7,1)

d)

₇P₁

37.

The permutation of letters A, B, C and D taken two at a time”

a)

₂P₄

b)

P(2,2)

c)

P(4,4)

d)

₄P₂

38.

What is the lower boundary of 35th percentile?

a)

25.5

b)

30.5

c)

35.5

d)

40.5

39.

What class interval should be used in solving for the 1st quartile?

a)

26-30

b)

31-35

c)

36-40

d)

41-45

40.

What cumulative frequency should be used in solving for the 3rd quartile?

a)

9

b)

12

c)

19

d)

24

41.

Calculate the 3rd quartile.

a)

43.5

b)

43

c)

44

d)

44.5

42.

Calculate the 50th percentile.

a)

34.75

b)

35.5

c)

36.55

d)

37.65

43.

Choosing a subset of a set is an example of ________________..

a)

counting principle

b)

probability

c)

permutation

d)

combination

44.

Which of the following statement is true?

I. 10! (5!) = 15!

II. 4! + 2! = 26

III. 20 – (4!) = 16!

a)

I

b)

II

c)

I, II & III

d)

III

45.

If C (12, r) = 220, which of the following is a possible value of r?

a)

9

b)

7

c)

6

d)

4

46.

Evaluate; C (10,7)

a)

50

b)

120

c)

250

d)

350

47.

Calculate: ₆ C ₃

a)

5

b)

15

c)

10

d)

20

48.

In how many ways can a coach choose two swimmers from among four swimmers?

a)

2

b)

4

c)

6

d)

10

49.

A committee of 4 people is to be chosen from 6 women and 7 men. Find the number of different committees that can be chosen if there are no restrictions.

a)

176

b)

157

c)

517

d)

715

50.

Which of the following does NOT involve combination?

a)

picking balls at the same time from a box full of balls

b)

assigning code to every quarantine pass

c)

choosing cities to visit during a long vacation

d)

selecting flowers to be placed in a vase

Summative Test_2024-2025

Total questions: 50

Worksheet time: 50mins

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