Easy 2. If 1 megabyte is equal to  $10^6$  bytes, how many gigabytes are there in 1 megabyte?

(a)  

Easy 3. Find the value of b so that x = 3 is a solution of the equation  $b^2+b\left(x-3\right)+3b=\left(b-x\right)^2$  .

(a)  

Easy 4. Assume A and B are subsets of the set of integers. If A is the set of multiples of 2, and B is the set of multiples of 3, describe the elements of A ∩ B.

(a)  

Easy 5. Find the solution set of the inequality  $x^3-3x^2>0$  and express it in interval notation.

(a)  

Easy 6. Point Q lies midway between points P and R on a number line. What is the coordinate of R if P and Q have coordinates -16 and -7, respectively?

(a)  

How many sides does a regular polygon have if the measure of each interior angle is 160°?

(a)  

Average 1. Express the repeating decimal 8.121212… as a fraction in lowest terms.

(a)  

Average 2. A camera drone travels at a speed of 40 miles per hour. How many feet can it travel if its maximum flight time is 20 minutes?

(a)  

Average 3. Solve for x:  $\frac{x+3}{3}-\frac{x+2}{2}=\frac{x+6}{6}$  

(a)  

Average 4. If  $6\cdot16^{x-1}=24\cdot2^{2x+6}$  what is the value of x?

(a)  

Average 5. In a pie chart that shows the monthly family expenditures on different items, the central angle of the sector representing the expenses on food is 144°. How much is spent on food if the monthly family income is Php 22,000?

(a)  

Difficult 1. A data set consisting of 8 whole numbers has mean, median, and mode that are all equal to 3. What is the largest possible number in the data set if the smallest number is 2?

(a)  

Difficult 2. If the sum of  $2^x$  and its reciprocal is 3, what is the sum of  $8^x$  and its reciprocal?

(a)  

Difficult 3. Write the product  $\left(a^2+b^2\right)\left(c^2+d^2\right)$  as a sum of two squares.

(a)  

Difficult 4. Each student in a class of 40 has an active account on at least one of the following social networking sites: Facebook, Instagram, or WhatsApp. Thirty students are active on Facebook, 20 on Instagram, and 17 on WhatsApp. If 13 students are active on both Facebook and Instagram, 7 on both Instagram and WhatsApp, and 5 on all three sites, how many students are active on either Facebook or Instagram but not on WhatsApp?

(a)  

Difficult 5. John has Php 100 and Php 500 bills. How many Php 500 bills does he have if there are 34 bills altogether and the total amount is Php 11,800?

(a)