Question 1

What is the original price of a shirt with a selling price of Php1050 with a 30% discount? (NOTE: Your answer must have “Php”. Example: Php 100)

Accepted Answer

Php 1500

Question 2

Find  the sum of the infinite geometric sequence: 5, 5/3, 5/9, 5/27…

Accepted Answer

7.5

Question 3

What is the sum of the first 64 multiples of 3?

Accepted Answer

6240

Question 4

How many permutations does the word “MISSISSIPPI” have?

Accepted Answer

34650

Question 5

What do you call a 16-sided polygon? (NOTE: Capitalize only the first letter)

Accepted Answer

Hexadecagon

Question 6

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. (NOTE: Your answer must be written like this example “Width = 1m; Length = 2m”)

Accepted Answer

Width = 15m; Length = 20m

Question 7

Find the slope of the line that passes through the points (2, 4) and (5, 8). (NOTE: If the answer is a fraction, write it in the format n/n)

Accepted Answer

4/3

Question 8

In the context of optimization, this is the quantity that is true regardless of the solution. (NOTE: Capitalize only the first letter)

Accepted Answer

Constraint

Question 9

Find the vertex of the parabola: f = x^2 - 4x + 1. (NOTE: Write the answer in the format (h, k) Ex: (1, 1) )

Accepted Answer

(2, -3)

Question 10

In a circle, a chord of length 16cm is 6cm away from the center. Find the diameter of the said circle. (NOTE: Please write the correct unit. Ex: 5 cm)

Accepted Answer

20 cm

Question 11

Question:

Accepted Answer

2 sqrt(10)

Answer

9/2

Answer

4 sqrt(5)

Answer

13

Question 12

What is X in the harmonic sequence: 1/14, 1/22, 1/30, X …

Accepted Answer

1/38

Question 13

A rhombus has diagonals 8cm and 14 cm each. Find its area. (NOTE: Use “^” for expressing the exponent. Ex: 5 cm^2)

Accepted Answer

56 cm^2

Question 14

Find the roots of quadratic equation: x^2 + 8x – 20. (NOTE: The answer must be in the format “Roots: n and n”. Ex: Roots: 1 and 2)

Accepted Answer

Roots: 2 and -10

Question 15

Find the intersection of the lines: 5x + 4y = 5 and x + 2y = 8.

Accepted Answer

(-11/3 , 35/6)

Question 16

The average of 35, 40, 67, 50, N, 17, is 39, what is N?

Accepted Answer

25

Question 17

If worker A can paint a house in 3 hours, while worker B can paint a house in 8 hours, how long does it take for worker A and B to paint one house? (NOTE: If the answer is a fraction, write it in the format n/n plus the appropriate unit. Ex: 1/2 hours)

Accepted Answer

24/11 hours

Question 18

What is the volume of a cube with a surface area of24 cm^2? (NOTE: Use “^” for expressing the exponent. Ex: 5 cm^3)

Accepted Answer

8 cm^3

Question 19

The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. What is N?

Accepted Answer

197

Question 20

Evaluate the complex number: (5+4i)(6+3i).

Accepted Answer

18 + 39i

Question 21

What is the original price of a shirt with a selling price of Php1050 with a 30% discount? (NOTE: Your answer must have “Php”. Example: Php 100)

Accepted Answer

Php 1500

Question 22

What is the original price of a shirt with a selling price of Php1050 with a 30% discount? (NOTE: Your answer must have “Php”. Example: Php 100)

Accepted Answer

Php 1500

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