Math & Science Quiz Bee 2024

What are the complete factors of 2𝑥⁶- 12𝑥⁴?

• A. 2(𝑥⁴- 6𝑥⁴)

• B. 2𝑥⁵(𝑥−6𝑥)

• C. 2𝑥⁴(𝑥²−6)

• D. 𝑥⁶(2𝑥²−12)

Forty-nine less than the square of a number equals zero. Find the number.

• A. -3 or 3

• B. -7 or 7

• C. -13 or 13

• D. 0 or 9

Find the discriminant of quadratic equation x²  + 8x + 2 = 0.

• a. 64

• b. 32

• c. 56

•   d. 28

4 A picture has a height that is 4/3 its width. It is to be enlarged to have an area of 192 square inches. What will be the dimensions of the enlargement?

• a. 10 inches by 12 inches

• b. 12 inches by 16 inches

• c. 16 inches by 20 inches

• d. 12 inches by 24 inches

Find the sum of the geometric sequence where the first term is 3, the last term is 46, 875 and the common ratio is 5.

• A.      58, 593

• B.  58, 953

•  C. 58, 539

• D. 58, 395

Find k so that the numbers   2k + 1,   3k + 4,   and   7k + 6   form a geometric sequence.

• A.      -2, -1

• B.   2, -1

• C.   -2, 1

• D.   2, 1

Evaluate: h(x) = 5x² -8x + 12 given x = 5.

• a. 22

• b. 145

•     c. 97

• d. -3

Evaluate: given g(x) = 5x³ – 18 given x = 3.

• a. 22

• b. 145

• c. 117

• d. -3

Lina is doing mathematics tutorial for a summer job. For every tutorial, she charges an initial fee of ₱500.00 per month, plus a constant fee of ₱200.00 for each hour of tutorial.

If Lina spends 15hours on a student and another 13 hours for another student

in a month, how much will she earn?

• a.    4600

• b.    6600

• c.    14400

• d.    13600

Suppose three coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z.

• a. Z = 0, 1, 2

• b. Z = 0, 1, 2, 3

• c. Z = 1, 2, 3

• d. Z = 1, 2, 3, 4