PERCENTAGE, VOLUME & ANGLES
An angle has a measurement of exactly 67 degrees. What type of angle is it?
a) Straight Angle
b) Acute Angle
c) Reflex Angle
d) Obtuse Angle
b) Acute Angle
This is because the angle measures less than 90 degrees.
Which expression represents the combined value of rational algebraic expression 2x/5 + 7/5?
a) 2x-7/5
b) 2x+7/5
c) 2x+35/25
d) 2x/12
b) 2x+7/5
What are we going to do if the radicals given is not “perfectly rooted”?
a) Split the two factors. Then solve.
b) Use the product law and one radical should have the perfect square. Then solve.
c) Both a and b
d) None of the above
b) Use the product law and one radical should have the perfect square, then solve.
He created the formula for solving the sum of arithmetic sequences
a) Euclid of Alexandria
b) Carl Friedrich Gauss
c) Pythagoras
d) Fibonacci
b) Carl Friedrich Gauss
One of the following solid figures is different from the rest. Which solid figure is the odd one out?
a) Cone
b) Pyramid
c) Rectangular Prism
d) Cube
a) Cone
A cone is a non-polyhedron, while the other figures are polyhedrons.
Determine the resulting expression when subtracting 9-x / 8 and 4 / 8
a) 13-x / 8
b) 9-x-4 / 8
c) 5-x / 8
d) x-⅝
c) 5-x / 8
What do we call two pairs of binomials with identical terms but with opposite operations in the middle? (Clue: it is used to rationalize the denominator)
Conjugate
In the pattern below, what is the next letter that comes after A?
A, B, A, A, B, A, A, A, __
B
An angle measures 34 degrees and its adjacent angle measured 146 degrees. Which statement is true about these angles?
a) They are complementary angles, as they sum up to 90 degrees.
b) They are complementary angles, as they sum up to 180 degrees.
c) They are supplementary angles, as they sum up to 90 degrees.
d) They are supplementary angles, as they sum up to 180 degrees.
d) They are supplementary angles, as they sum up to 180 degrees.
Supplementary angles are two adjacent angles that sum up to 180 degrees.
Find the product of the rational algebraic expression 5x / 3 • x+2 / 4
a) 5x(x+2) / 12
b) 5x+2 / 7
c) 5x^2+1 0/ 3
d) 5(x+2) / 12x
a) 5x(x+2) / 12
Find the product between 8√4 and 10√36.
960
What is the 10th number in the sequence: “0, 4, 8, 12, 16,...”
a) 20
b) 36
c) 40
d) 32
b) 36
Identify the percentage, rate, and base of the following statement: You pay 2,400 pesos for food at a restaurant and afterwards, leave a 10% tip, paying an additional 240 pesos.
a) 2,400 pesos is the base, 10% is the percentage, and 240 pesos is the rate.
b) 2,400 pesos is the rate, 10% is the percentage, 240 pesos is the base.
c) 2,400 pesos is the base, 10% is the rate, 240 pesos is the percentage.
d) 2,400 pesos is the percentage, 10% is the base, 240 pesos is the rate.
c) 2,400 pesos is the base, 10% is the rate, 240 pesos is the percentage.
2,400 pesos is the initial amount or the ‘whole’, thus is the base. 10% is the rate as that is the ratio of amount to the base. 240 pesos is the percentage.
A machine dispenses x / 9 liters of coolant per minute in its first cycle and 5 / 9 liters per minute in its second cycle. Which expression represents the total output per minute?
a) x-5 / 9
b) x+5 / 9
c) 5x+1 / 9
d) x+45 / 81
b) x+5 / 9
During the quiz bee competition, the host shows the question and the problem given is: 3√5 • 2√20. Two teams (Team A and Team B) have different solutions. Here are the teams’ solutions:
TEAM A:
3√5 • 2√20
3•2 • √20•5
6√100
6*10
= 60
TEAM B:
3√5 • 2√20
3•2 • √20+5
6√25
6*5
= 30
a) Team A, because the coefficients are multiplied and the radicands are also multiplied.
b) Team A, because the radicals are dissimilar, so only the coefficients are multiplied.
c) Team B, because the product of the coefficients and radicands must both be added.
d) Team B, because the radicals remain the same even when multiplied.
a) Team A, because the coefficients are multiplied and the radicands are also multiplied.
What is the 9th number in the sequence: “1, 3, 9, 27, 81,...”
a) 6,561
b) 2,187
c) 9,843
d) 12,187
a) 6,561
A bakery is selling batches of pastries for 350 pesos per batch. To promote these pastries to their customers, they have a 30% discount to anyone who buys them. What is the new price of these pastries after applying the 30% discount?
245 pesos
To find the percentage, multiply the base and rate (350 * 0.30 = 105). This means the price is reduced by 105 pesos. Simply subtract (350 - 105 = 245) and you will end up with the new price.
A farmer irrigates one field at a rate of 5x/8 litera per minute and a second field at a rate of x-⅓ liters per minute. Which rational algebraic expression represents the total irrigation rate for both fields?
a) 15x+8(x-1) / 24
b) 5x-(x-1) / 8
c) 5x+x-1 / 11
d) 24x+3(x-1) / 8
a) 15x+8(x-1) / 24
Sam is designing a rectangular vegetable garden in their backyard. The length of the garden is ∛16 meters, while the width is √12 meters. What is the area of his garden in square meters? Write your final answer in simplest radical form.
⁶√192⁵
A student saves money every week to buy a new phone. On the first week, she saves ₱200, and each following week she saves ₱50 more than the previous week. How much money would she have in total by the 10th week?
₱4,250