Project WIZARDS Session

​Project WIZARDS

By RALPH IGPIT

Multiple Choice

• 8/3

• 3/8

• 1/3

• 4/9

• 3/4

Multiple Choice

Solve: (235 x 235 + 235 x 330 + 165 x 165) ÷ 400.

• 165

• 235

• 330

• 400

• 565

Multiple Choice

The slope (gradient) of the line Ax - By = 8 is ¾. What is A - B? 

• -1
• 1

• 0

• 3/4

• 3

Multiple Choice

The minimum value of x in $$Ax^2+Bx+4$$ is $$\frac{1}{4}$$ . What is $$\frac{A}{B}$$ ?

• -2
• 2

• 1

• 4

• 0

Multiple Choice

Operation ¤ is defined as (a ¤ b) = a + b . What is $$\left(\frac{1}{s}¤\ \frac{1}{t}\right)$$  if s and t are the roots of the equation $$5x^2+6x+1=0$$ ?

• -6
• 6

• 5

• 1

• -5

Multiple Choice

If the remote interior angles of a triangle are each increased by 15 degrees, by how much would the exterior angle of the triangle changed?

• 30
• 60

• 15

• 90

• 180

Multiple Choice

What is the measure of the angle supplementary to the complement of 45.60°?

• 135.60
• 136.5

• 44.40

• 134.40

• 120.60

Multiple Choice

Two diagonally opposite points of the square have coordinates (1, 3) and (- 5, -5). What is the area of the square?

• 50
• 60

• 70

• 80

• 40

Multiple Choice

There are 5 direct flights from Manila to Roxas. 3 bus schedules from Manila to Romblon and 4 ship schedules from Romblon to Roxas. How many ways can a person travel from Manila to Roxas?

• 17
• 15

• 12

• 60

• 35

Multiple Choice

In a drawer, there are 10 pairs of red socks, 8 pairs of blue socks, 6 pairs of green socks, and 12 pairs of black socks. Lisa wants to ensure she gets at least one pair of red socks and one pair of blue socks. How many socks should she pull out at least to guarantee fulfilling her requirement?

• 58
• 68

• 60

• 56

• 48

Multiple Choice

How many terminal zeroes are there in the standard form of 2024!?

• 503
• 303

• 403

• 603

• 503

Multiple Choice

Mrs. Kang has three daughters, namely Bussaba, Chaem, and Charoen and 2 sons, namely Aran and Atid. She asked them to sit around a circular table. How many ways could they arrange themselves around the table such that Bussaba and Atid always sit beside each other?

• 12
• 10

• 15

• 20

• 24

Multiple Choice

How many 2-digit numbers divisible by 3 can be formed using the digits 4, 5, 6, 8, and 9 if repetition of digits is allowed?

• 8
• 10

• 12

• 13

• 14

Multiple Choice

How many positive integer solutions (𝑥,𝑦) does $$\frac{1}{x}+\frac{1}{y}=\frac{1}{9}$$ have?

• 5
• 6

• 7

• 8

• 9

Fill in the Blanks

You have a list of 9 numbers. The average of the numbers is 18. If you add another number in the set, the average of the numbers is 19. What number did you add?

Fill in the Blanks

Evaluate the sum

+\frac{1}{380}">.

Fill in the Blanks

What is the remainder when $2023^{2024^{2025}}$ is divided by 17?

Fill in the Blanks

If $3d-2e=42\ and\ \ 3e-2d=20$ , what is the average of d and e?