Problems And Answers PHIMO MOCK 2020 SECONDARY 3

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%

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

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. \(\frac{27}{343}\)

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

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