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SBA Final Reviewer

Total questions: 60

Worksheet time: 30mins

Name
Class
Date
1.

What is next in the sequence of numbers below?

5, 6, 8, 11, 15, ___

a)

30

b)

25

c)

23

d)

20

2.

 How many chords will there be in the next figure in the pattern below?

a)

1

b)

2

c)

4

d)

8

3.

Which of the following shows that the sequence a, b, c… is arithmetic?

a)

b−a=c2b-a=\frac{c}{2}

b)

b - a = c - b

c)

a + b = 2c

d)

a + b = b + c

4.

Which of the following is a geometric sequence?

a)

1, 2, 3, 4, 5, …

b)

1, 1, 2, 3, 5, 8, 13, …

c)

2, -2, 2, -2, 2, …

d)

3, 1, -1, -3, -5, …

5.

 What is the 50th term of the arithmetic sequence if its third term is 11 and its eleventh term is 31?

a)

136

b)

133.5

c)

 131

d)

128.5

6.

What is the sum of the 3 arithmetic means between 16 and 30?

a)

46

b)

50.5

c)

69

d)

84.5

7.

The sum of n odd integers is 325. What is n if the first term of the sequence is 13?

a)

13

b)

25

c)

30

d)

33

8.

What is the sum of the two geometric means between 128 and -2?

a)

12

b)

24

c)

-12

d)

-24

9.

What is the 5th term of the geometric sequence if the 3rd term and the 7th term are 3 and 48, respectively?

a)

10.2

b)

12

c)

28.8

d)

72

10.

What is the sum of 2+43+89+1627+...?2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+...?

a)

3.9

b)

4

c)

5.8

d)

6

11.

What is the sum of the first 5 terms of the geometric sequence below if m is an integer?

2m -1, 4m + 1, 15m - 3, …

a)

363

b)

243

c)

128

d)

64

12.

The sequences below follow the same pattern EXCEPT for __________.

a)

12,56,43,136,72,...\frac{1}{2},\frac{5}{6},\frac{4}{3},\frac{13}{6},\frac{7}{2},...

b)

32,67,35,613,38,...\frac{3}{2},\frac{6}{7},\frac{3}{5},\frac{6}{13},\frac{3}{8},...

c)

13,12,56,43,136,...\frac{1}{3},\frac{1}{2},\frac{5}{6},\frac{4}{3},\frac{13}{6},...

d)

12, 1, 1 12, 2 12,4,...\frac{1}{2},\ 1,\ 1\ \frac{1}{2},\ 2\ \frac{1}{2},4,...

13.

Miguel plans to save money by putting aside 100php per month and increasing it by 5php after every three months. How much will be his total savings at the end of the fifth year?

a)

6,825 php

b)

8,850 php

c)

9,150 php

d)

9,540 php

14.

What will be the remainder when 2x4 - 3x3 - 7x2 - 1 is divided by x2 + 3x - 1?

a)

-10

b)

32x - 10

c)

-75x + 21

d)

−9x3−5x−1-9x^3-5x-1

15.

When 2x6 - 32x2 is factored completely, each of the following is a factor EXCEPT:

a)

x - 4

b)

x2 + 4

c)

x - 2

d)

2

16.

Which value of x is NOT a solution to the equation below?

6x3 + 13x2 - 4 = 0

a)

-2

b)

−23-\frac{2}{3}

c)

12\frac{1}{2}

d)

32\frac{3}{2}

17.

A rice grain silo is made up of a cylindrical base with a cone-shaped roof. The radius of a cylindrical base is equal to its height, and the height of the cone is 5 feet. If the silo has a volume of 864 ft3, what is the radius of the base?

a)

12 ft

b)

9 ft

c)

6 ft

d)

3 ft

18.

The profit in selling x cupcakes is given by the equation, S(x) = x3 - 74x2 - 475. If one earned a profit of 400 php, how many cupcakes were sold?

a)

80

b)

70

c)

50

d)

40

19.

Which of the following function is represented by the graph below?

a)

y = (x - 1)(x + 2)

b)

y = (x + 1)(x + 5)(x - 2)

c)

y = (x - 1)2(x + 2)2

d)

y = (x + 1)2(x - 2)2

20.

 In the figure below, XY and XZ are radii of circle X, and YZ is a minor arc. If XY = 5 inches and the length of YZ = 4π inches, what is the measure of ∠YXZ?

a)

72

b)

120

c)

144

d)

162

21.

Which of the following is true about the measures of ∠DAB and ∠DCB?

a)

 m∠DAB = m∠DCB

b)

 m∠DAB < m∠DCB

c)

m∠DAB > m∠DCB

d)

cannot be determined

22.

Which of the following is a secant of circle E?

a)

FC

b)

EC

c)

AB

d)

AD

23.

What is the length in inches of the common internal tangent CD, if the radii of a circle A and B are 6 inches and 3 inches, respectively, and their centers are 15 inches apart?

a)

8 in.

b)

10 in.

c)

12 in.

d)

14 in.

24.

 What is the radius of the circle that circumscribes an isosceles triangle with a base of 24 cm and legs of 15 cm each?

a)

9 cm.

b)

12.5 cm.

c)

15 cm.

d)

17.5 cm.

25.

What are the coordinates of C so that the distance from C to A is four times than that from B to A if A is located at (-6, 2), B at the origin, and B is between A and C?

a)

(-2, 6)

b)

(6, -2)

c)

  1. (18, -6)

d)

(24, -8)

26.

 The triangle whose vertices are at (1, 6), (-2, 2), and (2, -1) is ______.

a)

An equilateral triangle

b)

An isosceles triangle

c)

A scalene triangle

d)

Obtuse triangle

27.

What is the center-radius form of the equation of the circle below?

x2+y2−10y+24=0x^2+y^2-10y+24=0

a)

(x - 5)2 + (y - 5)2 = 6

b)

(x - 5)2 + y2 = 4

c)

x2 + (y - 10)2 = 2

d)

x2 + (y - 5)2 = 1

28.

The circle below shows point N on circle M. If the coordinates of M and N are (-2, -1) and (2, 1), respectively, what is the equation of the circle?

a)

  1. x2 + y2 + 4x + 2y - 15 = 0

b)

  1. x2 + y2 + 4x + 2y - 20 = 0

c)

  1. x2 + y2 - 2x - y + 25 = 0

d)

  1. x2 + y2 + 4x - 2y - 15 = 0

29.

What is the area of a quadrilateral whose vertices are at (4, 1), (4, -5), (-2,-5), and (-2, 1)?

a)

25 square units

b)

30 square units

c)

36 square units

d)

40 square units

30.

Which graph represents the equation x2 + y2 +2x - 2y - 2 = 0?

a)

b)

c)

d)

31.

Which of the following situations illustrates permutation?

a)

finding the number of ways to select 5 students from a class of 25 students

b)

finding the number of ways a class of 25 elects their class president and class vice-president

c)

finding the number of ways a committee of 4 people is selected from a group of 10 people

d)

finding the number of 5-item test from a test bank of 20 questions

32.

In how many ways can an adviser assign 4 different tasks to 4 students from a class of 12?

a)

48

b)

495

c)

5,830

d)

11,880

33.

In how many ways can 6 different colored beads be arranged on a bracelet?

a)

720

b)

120

c)

60

d)

24

34.

Which of the following expressions solves for the number of different groups consisting of 3 men and 4 women that can be formed from a group of 5 men and 7 women?

a)

5P3 × 7P4

b)

5C3 × 7C4

c)

5C3 + 7C4

d)

5P3 + 7P4

35.

The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three-letter "code words" are possible if there are no two consonants next to one another and every code word must always end in a vowel?

a)

270

b)

325

c)

350

d)

475

36.

P(A ∩ B) describes the likelihood of

a)

both A and B to occur

b)

either A or B to occur

c)

either A or B to occur but not both

d)

A to occur given that B occurred

37.

Which of the following solves for the probability of a union of the two events, A and B?

a)

P(A) + P(B)

b)

P(A) + P(B) + P(A ∩ B)

c)

P(A) + P(B) - P(A ∩ B)

d)

P(A) × P(B) + P(A ∩ B)

38.

What is the probability that a card drawn from an ordinary deck of playing cards is a jack of hearts?

a)

12\frac{1}{2}

b)

14\frac{1}{4}

c)

113\frac{1}{13}

d)

152\frac{1}{52}

39.

Which of the following is true if events A and B are mutually exclusive?

a)

P(A ∩ B) = 0

b)

P(A ∪ B) = 1

c)

P(A ∪ B) = P(A) x P(B)

d)

P(A ∩ B) = P(A) + P(B)

40.

The probability that I will be late for dinner is 0.3, the probability that it will rain tonight is 0.6, and the probability that both will happen is 0.1. What is the probability that it will rain tonight and I will NOT be late for dinner?

a)

0.18

b)

0.5

c)

0.8

d)

0.9

41.

If P(A) = 0.3, P(B) = 0.4, and events A and B are mutually exclusive, then P(A ∪ B) is

a)

0

b)

0.1

c)

0.7

d)

0.12

42.

Which of the following is NOT possible if events A and B are mutually exclusive?

a)

P(A) = 0.1 and P(B) = 0.2

b)

P(A) = 0.5 and P(B) = 0.4

c)

P(A) = 0.5 and P(B) = 0.5

d)

P(A) = 0.6 and P(B) = 0.7

43.

At a particular school with 200 male students, 58 students play guitar, 40 students play piano, and 8 students play both. What is the probability that a randomly selected male student plays neither instrument?

a)

920\frac{9}{20}

b)

1120\frac{11}{20}

c)

49100\frac{49}{100}

d)

51100\frac{51}{100}

44.

A survey was conducted on 50 students about their preference for pets. Twenty three students like cats, 30 students like dogs, and 10 preferred both cats and dogs. If a student is selected at random, what is the probability that the student does not like dogs?

a)

25\frac{2}{5}

b)

750\frac{7}{50}

c)

1350\frac{13}{50}

d)

2350\frac{23}{50}

45.

Bag A contains 5 red tickets and 3 yellow tickets. Bag B contains 2 red tickets and 6 yellow tickets. A bag is randomly selected by tossing a coin, and a ticket is removed from it. Determine the probability that the removed ticket is yellow.

a)

58\frac{5}{8}

b)

512\frac{5}{12}

c)

916\frac{9}{16}

d)

5932\frac{59}{32}

46.

Which of the following is equivalent to the 3rd quartile?

a)

25th percentile

b)

45th percentile

c)

70th percentile

d)

75th percentile

47.

What is the 25th percentile of the data set below?

7, 4, 4, 7, 2, 9, 10, 6, 7, 3, 8, 5

a)

4

b)

6

c)

6.5

d)

7.5

48.

The Interquartile range (IQR) is the difference between

a)

the second quartile and the first quartile

b)

the third quartile and the first quartile

c)

the third quartile and the second quartile

d)

the maximum value and the minimum value

49.

The graph below shows the measured heights of 60 seedlings after a month. What is the approximate height of the 85th percentile?

a)

8 cm

b)

9 cm

c)

10 cm

d)

11 cm

50.

In the data set below, which of the following is/are outliers?

1 4 5 6 8 8 9 10 11 16

a)

1

b)

16

c)

1 and 16

d)

none

51.

If nine arithmetic means are to be inserted between 6 and 30, which of the following is one of them?

a)

11

b)

16

c)

18

d)

23

52.

Which one is a factor of 4x2 + 4x - y2 + 1 if it is factored completely?

a)

2x - y + 1

b)

2x + y - 1

c)

2x - y - 1

d)

4x - 2y + 1

53.

A circle is circumscribed about a regular octagon. What is the measure of the arc between each pair of consecutive vertices?

a)

15°

b)

30°

c)

45°

d)

60°

54.

What is the measure of ∠1 if the measures of arc AC and arc BD are 30° and 54°, respectively?

a)

12°

b)

24°

c)

42°

d)

84°

55.

Seven people were invited to a dinner meeting. How many possible sets of attendees can there be if the number of attendees in a set ranges from one to seven?

a)

49

b)

98

c)

127

d)

504

56.

What is the P(A U B) if P(A) = 0.5, P(B) = 0.7, and P(A ∩ B) = 0.4?

a)

0.60

b)

0.80

c)

1

d)

1.20

57.

What is the probability that the sum of the outcomes is either odd or greater than 9 when two fair six-sided dice are tossed?

a)

2136\frac{21}{36}

b)

1118\frac{11}{18}

c)

14\frac{1}{4}

d)

12\frac{1}{2}

58.

What is the distance between F and G?

a)

3.5 units

b)

4 units

c)

4.5 units

d)

5 units

59.

What is the radius of a circle with the equation x2 + y2 - 4x + 2y + 1 = 0?

a)

6 units

b)

4 units

c)

2 units

d)

1 unit

60.

The cumulative frequency graph below shows how long 80 students finished the 10 problem solving questions in a test. At most, for how many minutes did the top 10% of the students finish the test?

a)

25 mins.

b)

27 mins.

c)

33 mins.

d)

35 mins.

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