Numeracy
What does BEDMAS stand for?
Brackets, Exponent, Division, Multiplication, Addition, Subtraction
What is the acronym SOHCAHTOA used for in trigonometry?
Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, and Tangent = Opposite/Adjacent.
What is the formula to convert inches to centimeters?
Multiply by 2.54.
What is a histogram used for in data analysis?
It displays the frequency distribution of a data set.
What is the rule for multiplying numbers with exponents?
Add the exponents.
Simplify 3(x +4) - 2(x - 1)
3x + 12 - 2x + 2 = x + 14.
Using the Pythagorean theorem, find the hypotenuse if one leg is 3 and the other is 4.
Hypotenuse = 5.
Find the perimeter of a rectangle with length 8 units and width 5 units.
Perimeter = 2(8 + 5) = 26 units.
In a data set, what is the median?
The median is the middle value when the data is ordered.
What is the formula for simple interest?
I = P * r * t.
Solve for x: 2x + 5 = 13.
x = 4
What is the formula for the law of sines?
(sin A)/a = (sin B)/b = (sin C)/c.
Calculate the area of a triangle with base 10 units and height 6 units.
Area = (1/2) * base * height = 30 square units.
What is a scatter plot used to show?
It shows the relationship between two variables.
Solve for x: 2^(x) = 32.
x = 5
Combine like terms in 5a + 3b - 2a + 7b.
3a + 10b
If the angle opposite side A is 45 degrees, and sides a = 10 and b = 14, what is angle B using the law of cosines?
55 degrees.
A floor plan shows a composite shape made of a square (side 6 units) and a rectangle (width 4 units, length 6 units). Find the total area.
Square area = 36, rectangle area = 24; total = 60 square units.
Calculate the variance of the data set: 2, 4, 6, 8, 10.
Variance = 10.
If you invest $1,000 at 5% annual interest compounded annually, what is the value after 3 years?
$1157.63
A fraction 7/8 needs to be added to 3/4. What is the sum in simplest form?
7/8 + 6/8 = 13/8.
A ladder leaning against a wall forms a 60-degree angle with the ground. If the ladder is 10 feet long, how high up the wall does it reach?
Height = 10 * sin(60°) ≈ 8.66 feet.
What is the surface area of a cylinder with radius 4 units and height 10 units?
Surface area = 2pir(h + r) ≈ 351.86 square units.
What is the standard deviation if the variance is 25?
Standard deviation = 5.
What is the future value of an annuity with $200 monthly payments for 10 years at an interest rate of 6% per year, compounded monthly?
$31,610