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The sum of 5, 10, 15, 20, 25 … 100 equals
1050
Convert 75°C into Kelvin
348.15 K
What is the range of angles in the 3rd Quadrant?
180° – 270°
If the time is 3:00 PM, what time was it 7 hours and 22 minutes ago?
8:23 AM
How many aces are there in a deck of cards?
4
What is the probability of drawing an ace from a deck of 52 cards?
1/13
What is the probability of drawing a red card from a deck of 52 cards?
1/2
Find the square root of 289
17
Simplify 3⁵ ÷ 3⁹
3⁻⁴
Find the simple interest of ₱35,000 at 4% for 10 years
₱14,000
Simplify 1 / (x - 1)² + 1 = ?
½
Find the average of 16 and 34
25
Which graph represents direct acceleration and time?
Linear graph
Eccentricity of a hyperbola (C/A) is always
Greater than 1
Find the sum of the first six terms of 1, 10, 100…
111111
If velocity is 5.3 m/s and time is 21 s, find distance
111.3 m (approx. 111 or 112)
Given log₅(10x²) – log₅(9x²) = ?, simplify
log₅(10x² / 9x²) = log₅(10/9)
Arithmetic sequence formula for the nth term
aₙ = a₁ + (n – 1)d
Sum of a geometric sequence formula
Sₙ = a₁(1 – rⁿ) / (1 – r)
Slope formula
m = (y₂ – y₁) / (x₂ – x₁)
In a circle, what indicates both x and y are squared and coefficients are the same?
Circle equation
When x and y are not both squared, what conic section is it?
Parabola
If x and y are squared, both positive but different coefficients, what is it?
Ellipse
If x² and y² have opposite signs, what is it?
Hyperbola
Convert 20% into a fraction
1/5
If a person’s savings increase by 25% yearly, what is the new amount after 2 years?
1.56 times the original (approx. 56% increase)
Find the ratio of 8:12 simplified
2:3
If ¾ of a tank is filled and holds 60 liters, what is the full capacity?
80 liters
A car travels 120 km in 2 hours. What is its speed?
60 km/h
If 4 men can finish a job in 10 days, how long will 5 men take?
8 days
Find the mean of 15, 20, 25, 30
22.5
If an item costs ₱120 and is sold with a 25% profit, what is the selling price?
₱150
What is the perimeter of a square with side 8 cm?
32 cm
A rectangle has length 10 m and width 5 m. Find its area.
50 m²
If 5x = 20, what is x?
4
Find 20% of 150
30
If 12 workers complete a task in 9 days, how long will 18 workers take?
6 days
The perimeter of a triangle with sides 6 cm, 8 cm, and 10 cm is
24 cm
A car runs 240 km on 20 liters of fuel. Find km per liter.
12 km/L
Convert 3/4 into percent
75%
If ¼ of a class of 40 students are boys, how many are girls?
30
If 15 is 25% of a number, what is the number?
60
A shopkeeper buys a product for ₱200 and sells for ₱250. Find profit percentage.
25%
Simplify (2x + 5)(x + 3)
2x² + 11x + 15
If radius = 7 cm, find circumference of the circle (π = 3.14)
43.96 cm
Find area of a triangle with base 10 cm and height 6 cm
30 cm²
If the average of 4 numbers is 10, what is their total?
40
Convert 2.5 hours into minutes
150 minutes
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