PHIMO - BorneoMath https://borneomath.com All about math problems Tue, 25 Oct 2022 04:39:32 +0000 en-US hourly 1 https://wordpress.org/?v=6.5.2 Problems And Answers PHIMO MOCK 2020 SENIOR SECONDARY https://borneomath.com/problems-and-answers-phimo-mock-2020-senior-secondary/ https://borneomath.com/problems-and-answers-phimo-mock-2020-senior-secondary/#respond Tue, 25 Oct 2022 04:39:32 +0000 https://borneomath.com/?p=5223 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

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]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, SENIOR SECONDARY

1. Which of the following is the largest?

A. \(2\log_5 6\)
B. \(2\log_6 5\)
C. \(3\log_6 5\)
D. \(3\log_5 6\)
E. \(3\)

D

2. Let \(A\) be the set of points in the \(xy-\)plane satisfying the equation \(|x| + |y| = 7\). The area of \(A\) is equal to

A. 7
B. 28
C. 42
D. 63
E. 98

E

3. What is the smallest altitude in the triangle with sides \(20, 21\), and \(29\).

A. \(21\)
B. \(\frac{21·20}{29}\)
C. \(\frac{20·29}{23}\)
D. \(\frac{20·29}{21}\)
E. 20

B

4. If \(a + b + c = a^2 + b^2 + c^2 = a^3 + b^3 + c^3 = \frac{3}{2}\) , then \(abc\) equals

A. -2
B. \(-\frac{1}{16}\)
C. 10
D. \(-\frac{1}{2}\)
E. 20

B

5. Find the exact value of

\(\sqrt{14^3 + 15^3 + 16^3 + … + 24^3 + 25^3}\).

A. 224
B. 104
C. 312
D. 336
E. 676

C

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-senior-secondary/feed/ 0 Problems And Answers PHIMO MOCK 2020 JUNIOR SECONDARY https://borneomath.com/problems-and-answers-phimo-mock-2020-junior-secondary/ https://borneomath.com/problems-and-answers-phimo-mock-2020-junior-secondary/#respond Mon, 24 Oct 2022 02:43:07 +0000 https://borneomath.com/?p=5212 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 JUNIOR SECONDARY first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, JUNIOR SECONDARY

1. In a certain football league, the only way to score is to kick a field goal for 3 points or a score a tonch down for 7 points. Thus the scores 1, 4 and 8 are not possible. How many positive scores are not possible?

A. 5
B. 6
C. 9
D. 11
E. 13

B

2. What is the number of distinct real numbers x which have the property that the median of the five numbers \(x, 6, 4, 1, 9\) is equal to their mean?

A. 0
B. 1
C. 2
D. 3
E. 5

D

3. In a group of five friends, the sum of the ages of each group of four of them are 124, 128, 130, 136, and 142. What is the age of the youngest of the friends?

A. 18
B. 21
C. 23
D. 25
E. 34

C

4. Eleven teams play in a soccer tournament. Each team must play each of the other teams exactly once. If a game ends in a tie, each team gets 1 point. For the games that do not end in a tie, the winning team gets 5 points and the losing team gets 0 points.
Which of the following is a possible value for the total number of points earned by the 11 teams by the end of the tournament?

A. 92
B. 196
C. 257
D. 290
E. 450

C

5. If \(x = \log_9 2\) and \(y = \log_5 4\), find \(\log_6 {15}\) in terms of \(x\) and \(y\).

A. \(\frac{2x + y}{xy}\)
B. \(\frac{2x + y}{y(1 + 4x)}\)
C. \(\frac{4x + y}{y(1 + 2x)}\)
D. \(\frac{y + 4x}{2}\)
E. \(\frac{x(4x + y)}{y + 1}\)

C

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-junior-secondary/feed/ 0 Problems And Answers PHIMO MOCK 2020 SECONDARY 3 https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-9/ https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-9/#respond Sun, 23 Oct 2022 12:46:37 +0000 https://borneomath.com/?p=5199 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 SECONDARY 3 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, SECONDARY 3

1. On a certain test, the average score for the women in the class is 83, while the average score for the men in the class is 71. If the average score of all the stuents in the class is 80, then what percentage of the students are women?

A. 60%
B. 65%
C. 70%
D. 75%
E. 80%

D

2. An odd integer between 600 and 800 is divisible by 7 and also divisible by 9. What is the sum of its digits?

A. 27
B. 21
C. 18
D. 12
E. 7

C

3. If \(9^{-x} = 7\), then what is the value of \(27^{2x+1}\)?

A. \(\frac{27}{7\sqrt 7}\)
B. \(189\sqrt 7\)
C. \(\frac{343}{27}\)
D. \(\frac{7\sqrt 7}{27}\)
E. \(\frac{27}{343}\)

E

4. If \(x@y =\frac{x^3 – y^3}{x – y}\), for how many real values of \(x\) does \(x@1 = 0\)?

A. 0
B. 1
C. 2
D. 3
E. 4

A

5. If the squares of two consecutive odd numbers difer by 1000, what is the sum of the two odd numbers?

A. 500
B. 520
C. 540
D. 530
E. 540

A

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-9/feed/ 0 Problems And Answers PHIMO MOCK 2020 SECONDARY 2 https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-8/ https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-8/#respond Fri, 21 Oct 2022 05:17:22 +0000 https://borneomath.com/?p=5179 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 SECONDARY 2 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, SECONDARY 2

1. If April 23 falls on Tuesday, then March 23 of the same year was a:

A. Saturday
B. Sunday
C. Monday
D. Wednesday
E. Thursday

A

2. The page numbers of a book sum to 1999. One page number was counted twice. Which page number was that?
A. 42
B. 44
C. 45
D. 46
E. 50

D

3. In a party, the first time the door bell rang 1 guest arrived. On each succeeding ring, two more guests arrived than on the previous ring. After 20 rings, the number of guests at the party was:

A. 39
B. 58
C. 210
D. 361
E. 400

E

4. If a pup is worth a pooch and a mutt, a pup and a pooch are worth one bird dog, and two bird dogs are worth three mutts, then the number of pooches a pup is worth is:

A. 2
B. 3
C. 5
D. 6
E. 9

C

5. If \(a^b = 3\), then the value of \(a^{4b} – 5\) is:

A. 7
B. \(3a^4 – 5\)
C. 22
D. 76
E. 81

D

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-8/feed/ 0 Problems And Answers PHIMO MOCK 2020 SECONDARY 1 https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-7/ https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-7/#respond Thu, 20 Oct 2022 04:25:06 +0000 https://borneomath.com/?p=5166 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 SECONDARY 1 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, SECONDARY 1

1. \(\frac{28x}{45}=\frac{77}{165}\), then what is the value of \(x\)?

A. 0.25
B. 0.50
C. 0.75
D. 0.90
E. 0.60

C

2. There are 29 people in a room. Of these, 11 speak French, 24 speak English and 3 speak neither French nor English. How many people in the room speak both French and English?

A. 3
B. 4
C. 6
D. 8
E. 9

E

3. A brood of 5 hens are working together to produce 55 eggs in 5555 days. What is the average number of days it takes a single hen to lay an egg?

A. 11
B. 101
C. 505
D. 555
E. 111

C

4. Evaluate the sum \(1^2 + 3^2 + 5^2 + … + 23^2 + 25^2\).

A. 2930
B. 2925
C. 2920
D. 2915
E. 2910

B

5. The lengths of two sides of a triangle are 2 and 9. Which of the following could be the length of the third side?

A. 4
B. 6
C. 8
D. 12
E. 14

C

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-secondary-7/feed/ 0 Problems And Answers PHIMO MOCK 2020 PRIMARY 6 https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-5-2/ https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-5-2/#respond Wed, 19 Oct 2022 03:35:01 +0000 https://borneomath.com/?p=5141 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

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]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, PRIMARY 6

1. Which of the following numbers is odd for any integer \(x\) ?

(a) \(2021+x^3 + 2x\)
(b) \(2021 + 7x^2\)
(c) \(2021 + 6x^2\)
(d) \(2021 + 2021x\)

C

2. What is the distance covered by a jogger who run around 6 times in a circular park with an area of \(121π\) meters?


(a) \(22π\) meters
(b) \(122π\) meters
(c) \(132π\) meters
(d) \(121π\) meters

C

3. Let a, b and c be nonnegative integers such that a + b = 20 and b + c = 36. Find the sum of the minimum and maximum value of a + c.

(a) 56
(b) 60
(c) 66
(d) 72

D

4. If three dogs eat 4 kilograms of dog food in 5 days, how long will it take for 12 dogs to consume 48 kilos of dog food?

(a) 12 days
(b) 15 days
(c) 18 days
(d) 20 days

B

5. Jackson needs to set up 180 chairs in rows such that each row must have an equal number of chairs and there must be more than 5 rows. How many ways can Jackson arrange the chair?

(a) 18
(b) 16
(c) 15
(d) 13

D

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-5-2/feed/ 0 Problems And Answers PHIMO MOCK 2020 PRIMARY 5 https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-5/ https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-5/#respond Wed, 19 Oct 2022 02:55:04 +0000 https://borneomath.com/?p=5123 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 PRIMARY 5 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, PRIMARY 5

1. Jackson needs to set up 90 chairs in rows such that each row must have an equal number of chairs and there must be more than 4 rows. How many ways can Jackson arrange the chair?

(a) 7
(b) 8
(c) 9
(d) 11

C

2. If ℃ = 5/9 (℉ − 32)which among the following is the hottest?

(a) 45℃
(b) 110℉
(c) 20℃+ 70℉
(d) 77℉+ 13℃

A

3. Two equilateral triangles have sides 4 units and 6 units, respectively. Determine the ratio of the area of the smaller triangle to the area of the bigger triangle.

(a) 4/9
(b) 2/3
(c) 3/2
(d) 1/3

A

4. Given that a and b are both integers, find the value of a that gives the maximum value of b satis-fying the equation

\(b=\frac{10a}{10-a}\)

(a) 10
(b) 11
(c) 9
(d) 5

C

5. Let a, b and c be positive integers such that a + b = 7 and b + c = 15. Find the sum of the great-est and smallest possible values of a + c.

(a) 28
(b) 22
(c) 30
(d) 32

C

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-5/feed/ 0 Problems And Answers PHIMO MOCK 2020 PRIMARY 4 https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-4/ https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-4/#respond Tue, 18 Oct 2022 13:54:26 +0000 https://borneomath.com/?p=5094 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 PRIMARY 4 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, PRIMARY 4

1. The graph below shows the results on a 3-station amazing race. The bar shows how long (in minutes) each contestant finished the task in every station. According to the results, who was the 2nd most earliest to finished the race?

(a) Alan
(b) Dean
(c) Earl
(d) None of the above

B

2. In 48 hours, how many full rotations does the minute hand move on the clock face?

(a) 24
(b) 48
(c) 2880
(d) 720

B

3. Anna made a pie chart showing her average monthly expenses based on her monthly income of $1000.


How much does she spend for food and transportation?

(a) $360
(b) $500
(c) $550
(d) $650

C

4. The populations of town X and town Y are in a ratio of 5:8. If the population of town X is increased by 80 percent, by what percent must the population of town Y be increased for the population of the two town be equal?

(a) 10%
(b) 12.5%
(c) 22%
(d) 8%

B

5. Find the value of \(x^3 + x^2 + x^1\) if \(x = 2\) .

(a) 12
(b) 14
(c) 16
(d) 100

B

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-4/feed/ 0 Problems And Answers PHIMO MOCK 2020 PRIMARY 3 https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-3/ https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-3/#respond Tue, 18 Oct 2022 05:04:43 +0000 https://borneomath.com/?p=5071 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 PRIMARY 3 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, PRIMARY 3

1. Arrange the following in increasing order, then determine the sum of the greatest and the smallest number.

(a) 15/8
(b) 15/16
(c) 29/8
(d) 15/4

C

2. ֍ and ⍟ are two prime numbers such that ֍ < 10 < ⍟. Find the smallest value of ֍ + ⍟.

(a) 11
(b) 2
(c) 13
(d) 15

C

3. There are 4 distinct rays in a plane having the same endpoint such as the figure below. How many differ-ent angles are formed?

(a) 6
(b) 7
(c) 8
(d) 10

D

4. Below is a net of a cube. What number corresponds to the opposite side of 4?

(a) 1
(b) 3
(c) 5
(d) 6

B

5. If the pattern 4, 8, 12, 16, 20, is continued, which of the following numbers would be one of the terms in the pattern?

(a) 22
(b) 30
(c) 50
(d) 60

D

6. The shortest route from Betty’s House to the Church is 4 blocks, while the shortest route from the playground to the church is 5 blocks. How many blocks corresponds to the shortest route from Betty’s House to McDonald’s if you can only go up, down, to the right or to the left?

(a) 6
(b) 7
(c) 8
(d) 9

A

7. Equally spaced wooden posts are placed around the perimeter of a regular pentagonal field with side length equal to 10 meters. If the distance between two adjacent wooden posts is 2 meters, how many wooden posts were used?

(a) 10
(b) 20
(c) 25
(d) 50

C

8. A runner can run 12 kilometres in 1 hour, how far can he run for 7/4 hours?

(a) 20 km
(b) 21 km
(c) 22 km
(d) 23 km

B

9. James rolls a die and tosses two coins. How many possible outcomes are there in all?


(a) 12
(b) 20
(c) 24
(d) 36

C

10. Suppose a coin is tossed three times, what is the probability of getting three tails?

(a) 1/8
(b) 1/4
(c) 1/2
(d) 3/8

A

11. What is the missing number represented by the special character?

19

12. A kangaroo is chasing a rabbit. The kangaroo starts at the 1st mark and jumps 4 meters every time while the rabbit starts at the 7th mark and jumps 3 meters every time. The distance between two adjacent marks is 1 meter. If they both started at the same time, how many jumps is required for the kangaroo to catch the rabbit?

6

13. If “−” means “+”, “+” means “−”, “×” means “÷”, and “÷” means “×”. What number should be placed in the box to make the following number sentence correct?

20

14. Amy made a new deck of 60 cards consisting of 4 suits – spades, hearts, clubs and diamonds. If there are equal number of cards for each suit, determine the minimum number of cards should be drawn to ensure that there is at least 1 card from each suit?

46

15. The blue and red bocks are stacked in an alternating position to form the figure below. How many blue blocks are there?

18

16. Find the number of triangles in the figure below.

39

17. What do you call a solid figure with no face, no vertex and no edge?

SPHERE

18. How many line of symmetry does the figure below have?

4

19. How many 2-digit numbers are there such that the units digit is greater than the tens digit?

36

20. Find the value of A.

5

21. Observe the following pattern and write the number that should be put on the blank to make the equation correct.

987654321

22. 5 towns are joined by a system of roads as shown:
How many ways are there to travel from town A to town C, if each town is passed exactly once?

3

23. A bullet train travels at a constant speed of 320 kilometers per hour. How far did the bullet train travelled if it left the station at 7:45 AM and reached its destination at 10:15 AM on the same day?

800

24. Kath is 16 years younger than Cathy. If the sum of their ages is 30, how old is Cathy?

23

25. A man on motorcycle can cover 45 kilometers in 50 minutes. How far can he travel in 1 hour?

54

 

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]]> https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-3/feed/ 0 Problems And Answers PHIMO MOCK 2020 PRIMARY 2 https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-2/ https://borneomath.com/problems-and-answers-phimo-mock-2020-primary-2/#respond Mon, 17 Oct 2022 02:55:30 +0000 https://borneomath.com/?p=5019 The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 […]

The post Problems And Answers PHIMO MOCK 2020 PRIMARY 2 first appeared on BorneoMath.

]]> The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

​The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, PRIMARY 2

1. Which set is in order from least to greatest?

(a) 0.1231 , 0.1210 , 0.2131 , 1.0012
(b) 1.3211 , 1.3705 , 1.4501 , 0.9123
(c) 0.5 , 0.612 , 0.81 , 1
(d) 12.12 , 13.13 , 1.313 , 21.21

C

2. Luis wants to set up 221 chairs in rows such that each row must have an equal number of chairs. Which of the following could be the method Luis uses to set up the chairs?

(a) 20 rows of 21 chairs
(b) 21 rows of 20 chairs
(c) 19 rows of 9 chairs
(d) 17 rows of 13 chairs

D

3. Find the number of triangles in the figure below .

(a) 12
(b) 13
(c) 14
(d) 15

D

4. Find the perimeter of the figure below.

(a) 40
(b) 42
(c) 44
(d) 46

C

5. Evaluate the sum of the first ten terms of the sequence

1 , 3 , 5 , 7 , 9 , 11 , …

(a) 100
(b) 120
(c) 81
(d) 121

A

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