Differentiation & Integration
Number facts
Functions
Sequences
Miscellaneous (Difficult)
100
The derivative of a constant term is equal to this

0

100

The legal age in Malaysia where one is allowed to purchase alcohol from a store

21

100

A quadratic curve never meets the x-axis if this requirement is met

b- 4ac < 0

100

The nth term formula for the series:
0 , 3 , 8 , 15 , ...

n2-1

100

The difference between the two largest 3-digit prime numbers

997-991=6

200

The only function has a derivative that is equal to itself

ex (+c)

200

The exact value of the area of a circle with radius 1

pi

200

An example of a function whose inverse function is itself

f-1(x)=f(x)

f(x)=x

f(x)=-x

f(x)=1/x

f(x)=-1/x

...

200

The sum to infinity of the positive powers of 0.5 

( 0 not included )

1

200

The constant pi, 3.14159..., is also known as this famous mathematician's constant

Archimedes Constant

300

This function is essential to calculate the area under the curve y=1/x

Natural Logarithm

300

6 Feet to the nearest cm

183

300

The name of a function of x only containing powers of x

Polynomial

300

What is the sum of the first 50 positive integers? ( 0 is not included )

1275

300

This famous sequence following this pattern:

0,1,1,2,3,5,... is also known as

The Fibonacci Sequence

400

This is the derivative of 2x

(ln2)(2x)

400

Donald Trump's mass in kilograms (To the nearest 10)

100

400

When a two separate functions, f & g, are combined, they make this type of function

A Composite Function

400

The next term in the series:

6 , 24 , 120 , 720 , ?

5040

400

This non-elementary function outputs the greatest integer value that is less than or equal to the input value

Floor Function

500

The shape known as Gabriel's Horn is a shape that has this volume when the graph of y=1/x (with domain x≥1) is rotated around the x-axis

pi

500

SGD 1 approximately equals to this many RM

3.4

500

This function is used to describe the number of arrangements of n unique objects

Factorial Function

500

The differences between two consecutive square numbers all follow this pattern

Odd numbers, 2n+1

500

A number is called a ? if it reads the same backward as well as forward. For example, 285582

Palindrome