Algebra
Simplify 4m+5+2m−1
6m + 4
A rectangle has a width of 10 cm and a length of 15 cm. If each side is doubled in length, what is the area of the new rectangle?
600 cm^2
What is the probability of getting heads three times in a row when flipping a fair coin?
1/8
Located in the heart of Paris, the giant glass structure located in the main courtyard of the Louvre Museum is this geometric shape.
Pyramid
What is the missing number?
16, 06, 68, 88, __, 98
87 (look at the numbers up-side down!)
Solve for X and Y:
12x - 9y = 37
8x + 9y = 23
x=3
y=-1/9
Between 4:00 PM and 4:50 PM, the minute hand on Big Ben covers this many degrees.
300 degrees
What is the probability that a number selected from the numbers (1, 2, 3,..........,15) is a multiple of 4?
Express your answer as a reduced fraction.
1/5
True or False: Zero is an even number.
True
5 years ago Kate was 5 times as old as her Son.
In 5 years her age will be 8 less than three times her Son's age at that time.
Find their ages.
Kate's present age is 35 years.
Her son's present age is 11 years.
What is 3x^3 + x^2 + 2x + 5 divided by 3x - 5?
x^2 + 2x + 1
This rectangular prism has integer edge lengths, and the three distinct faces of the prism have areas 35 in2, 45 in2 and 63 in2, what is the volume of the prism?
315
If a fair coin is tossed four times, what is the probability of it landing heads up at least three times? Express your answer as a common fraction.
5/16
Also known as Leonardo of Pisa, this famous Italian mathematician is best known for discovering a sequence where each number is the sum of the two previous numbers.
Fibonacci
What are three different whole numbers whose
sum AND product are equal?
A+B+C=D
A*B*C=D
A=1, B=2, C=3
Ann and Kate have 80 dollars together. If Kate buys ice-cream for 5 dollars, then Kate will have double Ann’s money. How much money does Ann have now?
25$
Bob is tiling the floor of his 12 foot by 16 foot living room. He plans to place one-foot by one-foot square tiles to form a border along the edges of the room and to fill in the rest of the floor with two-foot by two-foot square tiles. How many tiles will he use?
A) 48, B) 87, C) 91, D) 96, E) 120
B) 87
Three fair nickels and two fair dimes are tossed. What is the probability that at least two heads are showing and that at least one of the heads appears on a dime? Express your answer as a common fraction.
Hint: try to solve for the probability that it fails/the conditions are not met :)
11/16
(Middle School, answer at your own risk) Mathematical in nature, ocean waves often follow this type of function, which is used to describe cyclic oscillations.
Sine Wave
6+4=4
Move one matchstick so it makes sense
(draw it out)
6-4≠4
Simplify (2x+3)^5
32𝑥5+240𝑥4+720𝑥3+1080𝑥2+810𝑥+243
Carrie has a rectangular garden that measures 6 feet by 8 feet. She plants the entire garden with strawberry plants. Carrie is able to plant 4 strawberry plants per square foot, and she harvests an average of 10 strawberries per plant. How many strawberries can she expect to harvest?
A) 560 B) 960 C) 1120 D) 1920 E) 3840
D) 1920
Rachel flips an unfair coin. The probability that she gets two heads is 16%. What is the probability that she gets two tails?
36%
In math, the ∑ symbol, known as sigma, is used to represent _________________ .
Summation
What is the smallest whole number that is equal to seven times the sum of its digits?
21
(10A + B) = 7(A+B)