Mental Math
what is 142
196
What’s the next number?
2, 5, 10, 17, 26, …
37
Who is the Greek mathematician known for the formula a^2 + b^2 = c^2 for right triangles?
Pythagoras
List the first five prime numbers greater than 50.
53, 59, 61, 67, 71
If f(x) = x² − 4x + 3, what is f(5)?
8
Estimate the square root of 50 to one decimal place
7.1
What’s the 6th term of this geometric sequence?
3, 6, 12, 24, …
96
Which mathematician is famous for coming up with gravity and also studied calculus?
Isaac Newton
What is the LCM of 36 and 60
180
Let f(x) = 2x + 1 and g(x) = x². What is (f ∘ g)(2)
f(g(2))=9
A car travels 180 miles in 2 hours and 15 minutes. What is the average speed in mph
80 mph
In the sequence 1, 4, 9, 16, 25, …, what is the 10th term?
100
Which Italian mathematician introduced Hindu-Arabic numerals to Europe and is known for a famous sequence?
Fibonacci
The product of two prime numbers is 221. What are the two primes?
13 and 17
You are told a function has the domain {−2, 0, 3} and the rule f(x) = 1/x. Is this a valid function on this domain?
no, because f(0) is undefined
If a number increases by 20%, then decreases by 20%, is it back to its original value? If not, what percent of the original is it?
96%
What comes next in this alternating pattern?
2, 4, 12, 14, 42, 44, …
132
What famous math constant did Archimedes work hard to approximate using polygons?
pi
How many prime numbers are there between 30 and 50?
6
31, 37, 41, 43, 47
The function f(x) = |2x − 6| is graphed. What is the x-value of the vertex, and is the graph increasing or decreasing at x = 1?
x = 3 is the vertex, and the graph is decreasing at
x = 1
You buy an item for $80. The store applies a 10% discount, and then a 5% sales tax on the discounted price.
What is your final price?
$75.60
A sequence is defined by a_1 = 1, and a_n = a_{n-1} + n. What is a_5?
15
This mathematician’s name starts with “E” and is used for a number about natural growth that starts 2.718…
Euler
e
Two numbers have a GCF (greatest common factor) of 4 and an LCM (least common multiple) of 60. If one number is 12, what is the other?
20
f(x) = 2x + 1 for x < 0
f(x) = −x² + 4 for x ≥ 0
Is the function continuous at x=0
No, the limit does not equal