Algebra
Puzzles
Calculus
Mathematics History
Geometry
100

Solve for x: 

log⁡3(x)=2

x = 9

100

A curve has the equation y=x^2. If the curve is translated by 2 units to the right, what is the new equation?

y=(x−2)2

100

Find the derivative of f(x) = 5x^3 + 2x

15x^2 + 2

100

Who introduced the concept of a function in mathematics?

Leonhard Euler

100

Find the area of a sector of a circle with radius 6 cm and angle 60

6pi square cm

200

Solve for x and y: 

3x+4y=12 and x−2y=1

x = 4, y = 0

200

Find two consecutive integers such that the sum of their cubes is 189.

4 and 5

200

Integrate ∫4x^3 dx

x^4 + C

200

In what century did Isaac Newton and Gottfried Wilhelm Leibniz develop calculus?

17th Century

200

Find the angle between two lines with slopes m1=2 and m2=−1/2

90

300

Find the roots of the quadratic equation: 

3x2−2x−1=0

x = 1, x = -1/3

300

Soduko:

|_|_|_|4|

|_|_|_|_|

|2|_|_|3|

|4|_|1|2|

|1|2|3|4|

|3|4|2|1|

|2|1|4|3|

|4|3|1|2|

300

Find the turning points of f(x)=x^3−3x^2+2

Turning points at x=0 and x=2

300

Who introduced the polar coordinate system?

Isaac Newton

300

What is the volume of a cone with radius 3 cm and height 4 cm?

(1/3)(pi)(r2)(h)=12pi cubic cm

400

Simplify (x3+2x2−x−2x+2)/(x+2)

x2−1

400

Countdown:

Result to be obtained --> 253

Given Numbers --> 75, 7, 2, 5, 4, 6


75*4 - 6*2 - 5*7 (Possible Answer)

400

Evaluate ∫2(3x^2−2x) dx

4

400

Who was the first woman to receive a PhD in mathematics?

Sofia Kovalevskaya

400

Find the equation of the circle with center (1,2) and radius 5

(x−1)+ (y−2)= 25

500

Solve for x in the equation:

2x3−5x2−8x+12=0

x=2, x=3, x=−3/2

500

Solve the differential equation dy/dx=2x with y(1)=3

y = x^2 + 2

500

Which mathematical conjecture, proposed in the 1950s, established a deep connection between elliptic curves and modular forms, and played a crucial role in Andrew Wiles' proof of Fermat’s Last Theorem?

The "Taniyama-Shimura" conjecture (also known as the Modularity Theorem)

500

Given a triangle with vertices A(1,2), B(4,6), C(6,1), find the equation of the perpendicular bisector of side AB

y−4=(−3/2)(x−2.5)

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