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sumantmath.wordpress.com

sumantmath.wordpress.com

2022

Circle theorems & tangents practiceoriginal ↗
25 Sept 2022
Standard IGCSE Probability questionoriginal ↗
24 Sept 2022
Combinatorial proof of binomial identity nCr(n,2)=1+2(n-2)+nCr(n-2,2)original ↗
23 Sept 2022
Using Pascal’s identity to prove sum of the elements in a row is 2^noriginal ↗
23 Sept 2022
Why opposite angles are supplementary in cyclic quadrilateral ?original ↗
22 Sept 2022
IB Quadratic Equation where difference of roots is given sqrt(69)original ↗
22 Sept 2022
AP Calculus BC (Differential Equation)original ↗
22 Sept 2022
AP Calculus (Improper Integral)original ↗
22 Sept 2022
Improper integral 1/(z^2+3x+2)original ↗
21 Sept 2022
Proving Linearity and finding transformationoriginal ↗
21 Sept 2022
AP Calculus Hairy Integral involving (inverse, double angle)original ↗
20 Sept 2022
IB HL Factor Theoremoriginal ↗
19 Sept 2022
Two questions from SAT practice testoriginal ↗
18 Sept 2022
IB HL Binomial value of noriginal ↗
18 Sept 2022
IB HL Smallest value of n in binomial expansionoriginal ↗
18 Sept 2022
IB HL Trinomial expansion using (Binomial Theorem)original ↗
18 Sept 2022
IB binomial finding noriginal ↗
18 Sept 2022
Proving if a^2=a+1 then a is irrationaloriginal ↗
17 Sept 2022
Proving if 3 points are collinearoriginal ↗
17 Sept 2022
Contrapositive prooforiginal ↗
16 Sept 2022
Proving if a given logical expression is a tautology or notoriginal ↗
16 Sept 2022
Determining if the points on a plane are on same side of a line or different ?original ↗
15 Sept 2022
Vector 3d Questionoriginal ↗
14 Sept 2022
IB: Two standard quadratic equation questionsoriginal ↗
13 Sept 2022
IB Quadratic equation (signs of variables)original ↗
13 Sept 2022
Projection of vector a on vector boriginal ↗
13 Sept 2022
Domain Range of Addition and Subtraction of Functionsoriginal ↗
13 Sept 2022
Counting: Number of formations of teamsoriginal ↗
12 Sept 2022
Discrete Math: Counting the cardinality of the setoriginal ↗
12 Sept 2022
Ap calculus limitoriginal ↗
11 Sept 2022
twin primesoriginal ↗
10 Sept 2022
Narcissistic Numbersoriginal ↗
9 Sept 2022
Catalan conjectureoriginal ↗
8 Sept 2022
The biggest project in Mathematicsoriginal ↗
7 Sept 2022
GRE Math: Solving a missing coordinate problem in two different waysoriginal ↗
6 Sept 2022
GRE Telescoping Seriesoriginal ↗
5 Sept 2022
GRE Parallelogram areaoriginal ↗
4 Sept 2022
GRE Statistics on Mean and Medianoriginal ↗
3 Sept 2022
GRE Set counting problemoriginal ↗
2 Sept 2022
AP Calculus Graphing (Velocity Acceleration Distance)original ↗
1 Sept 2022
2008 AP MC #86original ↗
31 Aug 2022
Stars and bars (n identical objects, r different boxes)original ↗
29 Aug 2022
Hip in Hippopotamusoriginal ↗
27 Aug 2022
Hexagon argument to show that pi is greater than 3original ↗
26 Aug 2022
Sophie Germainoriginal ↗
26 Aug 2022
Turing Waves into Circles with Imaginary Numbersoriginal ↗
25 Aug 2022
GRE Math Inequalityoriginal ↗
24 Aug 2022
Introduction to p-adic numbersoriginal ↗
23 Aug 2022
Bertrand’s Paradoxoriginal ↗
23 Aug 2022
Epic Inductionoriginal ↗
23 Aug 2022
SAT Practice (Without Calculator)original ↗
23 Aug 2022
Similar triangle question (SAT, ACT)original ↗
22 Aug 2022
Why the trick of squaring numbers that end in 5 works ?original ↗
22 Aug 2022
Pairwise tangents to a parabola from an exterior pointoriginal ↗
21 Aug 2022
College board accuplaceroriginal ↗
20 Aug 2022
SAT Practice (55 Minutes) With Calculatororiginal ↗
19 Aug 2022
College board accuplaceroriginal ↗
19 Aug 2022
College board accuplaceroriginal ↗
18 Aug 2022
Divergence of Harmonic Series (Pietro Mengoli’s argument)original ↗
17 Aug 2022
Quadrature of a Triangleoriginal ↗
16 Aug 2022
Beyond Basel Series (Even and Odd terms)original ↗
16 Aug 2022
Divergence of Harmonic Series (Nicole Oresme’s Proof)original ↗
15 Aug 2022
College board Accuplaceroriginal ↗
14 Aug 2022
College Board Accuplaceroriginal ↗
13 Aug 2022
Deriving Wallis’s formula using Basel Seriesoriginal ↗
12 Aug 2022
Sum of reciprocals of triangular numbersoriginal ↗
12 Aug 2022
Quadrature of a rectangleoriginal ↗
11 Aug 2022
What do you get when you join the mid points of a quadrilateral ?original ↗
10 Aug 2022
Angles between the diagonals of a regular polygon drawn from the same vertexoriginal ↗
9 Aug 2022
How to measure the diagonal of a pentagon ?original ↗
8 Aug 2022
The three right triangles and their sidesoriginal ↗
7 Aug 2022
Why sum of three angles of a triangle are 180 ?original ↗
7 Aug 2022
Relation between sides and altitude of a right angled triangleoriginal ↗
6 Aug 2022
Full solution to Cubic equationoriginal ↗
5 Aug 2022
Main characters in solution to cubic equationoriginal ↗
5 Aug 2022
Depressed cubic equation: An important step to solve any cubic equation.original ↗
5 Aug 2022
Slicing hexagon into two equal partsoriginal ↗
4 Aug 2022
A mathematician’s apologyoriginal ↗
4 Aug 2022
Bob and his 10 pocketsoriginal ↗
4 Aug 2022
Conjecturing and proving the sum of the seriesoriginal ↗
4 Aug 2022
Find sides of a right angled triangle given its perimeter and altitude length incident on hypotenuseoriginal ↗
3 Aug 2022
Number of digits used for page numberingoriginal ↗
3 Aug 2022
A quartic equation with roots in arithmetic progressionoriginal ↗
3 Aug 2022
Guaranteed existence of Increasing or decreasing sub-sequences of length n+1 in an original sequence of length n^2+1original ↗
2 Aug 2022
Pigeon Hole, Graph theory, 2n vertices, n^2+1 edges guarantees a triangle (Mantel’s theorem)original ↗
1 Aug 2022
Using 4 and 9 quart pails to measure 6 quartsoriginal ↗
1 Aug 2022
SAT Practice (25 minutes) Without Calculatororiginal ↗
31 Jul 2022
10 | F(x,y), where F(x,y)=x^3y-xy^3 and x,y comes from a subset of any 3 distinct integers.original ↗
31 Jul 2022
Finding equation of function from the graphoriginal ↗
31 Jul 2022
A Precalculus question on bouncing pointsoriginal ↗
31 Jul 2022
IB Math HL How to find Locus of a point obtained from tangents that are orthogonal on a side opening parabola ?original ↗
30 Jul 2022
IB Integral Testoriginal ↗
30 Jul 2022
How to draw common tangents on two non intersecting parabolas ?original ↗
29 Jul 2022
IB Math HL Implicit differentiation and polar coordinatesoriginal ↗
29 Jul 2022
SAT Practice (55 Minutes) With Calculatororiginal ↗
28 Jul 2022
Why 9 games are played on consecutive days ?original ↗
27 Jul 2022
Why among 7 distinct random integers one can always find two numbers whose either sum or difference is divisible by 10 ?original ↗
27 Jul 2022
SAT Practice 25 minutes (without calculator)original ↗
27 Jul 2022
Why among any 8 random numbers there always exists at least 2 numbers whose difference is divisible by 7 ?original ↗
26 Jul 2022
Why any 10 random 4 element subsets made out of 11 elements always have at least 2 sets with 2 or more common elements ?original ↗
26 Jul 2022
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