# Problems And Answers PHIMO MOCK 2020 SENIOR SECONDARY

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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