Arithmetic, Algebra, and Precalculus
What is the least common multiple between 120 and 56?
840
The magnitude of a square's area is half of the magnitude of a square's perimeter. What is the side length?
2 units
If an event has a 1/3 probability of occurring, what is the probability of it not occurring 3 times in a row?
8/27
How many axes of symmetry does a circle have?
Infinite
What are skew lines?
Lines on different planes that do not intersect. They can not be parallel.
Expand the following:
(x-5)(x+2)(4-x)
-x3+7x2-2x-40
A circular tire has made 72 revolutions to travel 1440π cm. What is the area of the circle?
100πcm2
How many imperial tons are in a metric ton? Round to the nearest tenth of a ton.
1t=2000lb
1kg=2.2lb
1mt=1000kg
1.1t
Identify the divisor, the dividend, and the product in the following:
1/4
Divisor: 4
Dividend: 1
Product: NA
If you scored 79% on a test with 62 questions, how many did you get wrong?
13 questions
LXIX+CCXLVIII-CLIV
69+248-154
163
CLXIII
Points (1, 2), (3, 7), and (3, -3) form a triangle. What is the area? Include units.
10 units2
A pencil that is 1/2 cm wide and 6 cm long can draw a 50km line. For a pencil of the same width to write a line that is 500km long, how long must the pencil be, if it also uses graphite which is twice as efficient?
30cm
What is the 12th smallest prime number?
37
What is a line that passes through a system of parallel lines called?
Transversal
f(x) = 4x + 3
g(x) = 12x
h(x) = 20 - 2x
Find f(1) + g(2) + h(3) + f(4) + g(5).
124
What time will it be 4812 seconds after 5:12 pm?
6:32 pm and 12 seconds
To convert Kelvin to Fahrenheit, use K as the input in the function:
F=1.8(C-273.15)+32
Using this function, find the approximate temperature when Kelvin and Fahrenheit are equivalent, to the nearest whole Kelvin.
A calculator may be used for this question.
574K
What is the formula for the volume of a cone?
1/3πr2h
If n% of 3y is 2x, then in terms of n, what percent of x is y?
y (3n / 100) = 2x
(y) (3n) = 200x
y = 200x / 3n
y = (x) (200/3n)
200/3n x 100% = 20 000/3n %
3! + 2(8 - 3!)! - 5! + 2(4! - 20)!
3!+2(8-3!)!-5!+2(4!-20)!
6+2(2)!-120+2(4)!
6+2(2)-120+2(24)
10-120+48
-62
A number 8 is composed of two slightly overlapping circles such that the radius of each circle is 5 cm and the height of the number is 16 cm. What is the area of the number 8, to the nearest cm2? A calculator may be used for this question.
135cm2
The point (10, 12) is rotated 36o clockwise around the origin. To the nearest whole numbers, find the new coordinate. A calculator can be used.
(15, 4)
Name this number, according to the American short-scale convention:
5 x 1040
Fifty duodecillion
Name an example of a digon.
A Lune.