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Educational Level Secondary school, High school and College
Program Purpose Provide step by step solutions of your problems using online calculators (online solvers)
Problem Source Your textbook, etc

1. Algebra Calculators
2. Matrix Algebra Calculators
3. Numerical methods Calculators (Computer Oriented Numerical method - Conm)
4. Statistical Methods Calculators
5. Operation Research Calculators
6. Wording Problems Calculators
7. Calculus Calculators
8. Plots & Geometry Calculators
9. Pre-Algebra Calculators
10. College Algebra Calculators
11. Games
1. Algebra Calculators
1 . Addition, subtraction, multiplication, division of two polynomials eg.`(X^3-4X^2+4X-8)` `xx` `(X-2)`
2 . Factoring Polynomials expression eg. (1) `25x^2-36`, (2) `4x^2+12xy+9y^2`, (3) `x^3-3x^2-6x+8`, (4) `a^2(b-c)+b^2(c-a)+c^2(a-b)`
3 . Expand and simplify polynomial expressions eg. (1) `(X+2)(X+3)`, (2) `(2X+3Y)^2`, (3) `(2X+3Y+4Z)^2`, (4) `102^2`, (5) `102 xx 106` (Expand using the identity)
4 . Complete square, Is perfect square, Find missing term
1. Completing the square for quadratic equation eg. `9x^2+6x+1= 9( x+1/3 )^2`
2. Determining if the polynomial is a perfect square eg. (1) `x^2-4xy+4y^2`, (2) `3x^2+5x+2`
3. Find the missing term in a perfect square trinomial eg. (1) `9x^2` - __ + 16, (2) __ + `12x^2` + 9, (3) `49x^2` + 56 xy + __
5 . HCF(GCD)-LCM of Polynomials eg. Find GCD, LCM of `(2X^2-4X), (3X^4-12X^2), (2X^5-2X^4-4X^3)`
6 . Rational Expression of Polynomials
1. Reduced terms of rational expressions eg. `(4X^2-25)/(8X^3-125)`
2. Adding, subtracting, multiplying, dividing of rational expressions polynomials eg. `(X-3)/(X+1)-(X-6)/(X)`
7 . Solving or simplifying linear expressions
eg. (1) `(4x+1)/(3x-2)=3/2`, (2) `(2x-1)/(3x+1)+(4x-1)/(6x)=0`
8 . Quadratic Equation
1.1 Solving quadratic equations by factoring, eg. (1) `25x^2-30x+9=0`, (2) `x^2+10x-56=0`
1.2 solving quadratic equations by perfect square, eg. (1) `25x^2-30x+9=0`, (2) `x^2+10x-56=0`
1.3 Discriminant & Nature of Roots eg. (1) `25x^2-30x+9=0`, (2) `x^2+10x-56=0`
2. Find the quadratic equation whose roots are alpha and beta eg. (1) `alpha=3, beta=-4`, (2) `alpha=1+3sqrt(2), beta=1-3sqrt(2)`
3. Roots for non-zero denominator eg. (1) `(5x-18)/(x+2)=(2x-6)/(x-1)`, (2) `(x)/(x+1)+(x+1)/(x)=5/2`, (3) `4((4x+1)/(4x-1))^(2)+(4x+1)/(4x-1)=3`, (4) `(4x+1)/(4x-1)+(4x-1)/(4x+1)=3`
4. Roots of non-quadratic equation eg. (1) `6(x^2+1/x^2)-25(x-1/x)+12=0`, (2) `(x^2+1/x^2)-8(x+1/x)+14=0`
9 . Solve linear equation in two variables by (eg. Solve `7y+2x-11=0` and `3x-y-5=0` using Substitution method)
1. Substitution method
2. Elimination method
3. Cross multiplication method
4. Addition-Subtraction method
5. Inverse matrix method
6. Cramer's Rule method
7. Graphical method
10 . Solve linear equation of any number of variables (simultaneous equations) using
1. Inverse Matrix method
2. Cramer's Rule method
3. Gauss Elimination (Jordan) method
4. Gauss Elimination (Back Substitution) method
5. Gauss Seidel method
6. Gauss Jacobi method
11 . Variation Equations
1. Find value of variation using given value
(1) x `prop` y and x=6 when y=3. Find y=? when x=18, (2) x `prop` `y/z`. x=8 when y=4 and z=3. Find x=? when y=6 and z=4.
2. Prove results for given variation
(1) If x `prop` y then prove that `x^3+y^3 prop x^2y-xy^2`, (2) If 3x-5y `prop` 5x+6y then prove that x `prop` y.
12 . If `X+1/X=2` then find `X-1/X, X^2-1/X^2, X^3+1/X^3`
1. If `x-1/x=6` then find (1) `x^2+1/x^2` (2) `x+1/x` (3) `x^2-1/x^2`
2. If `x+y=5` and `xy=6` then find `x^2+y^2`
3. If `x^2+y^2+z^2=29` and `xy+yz+zx=-14` then find `x+y+z`
13 . Interval notation and set builder notation eg. (1) `3 <= x <=7`, x is odd. (2) `|x^3-2| <= 25`, x in Z. (3) `x in[2,8)`
14 . Set Theory eg. `A={x<=5; x in N}, B={2<=x<=8; x in N}, C={x^3-3x^2-4x=0},` Find
1. Union eg. `A uu (B uu C)=(A uu B) uu C`
2. Intersection eg. `A nn (B uu C)=(A nn B) uu (A nn C)`
3. Complement eg. `(A uu B)'=A' nn B'`
4. Power set(Proper Subset) eg. `P(A)`
5. Minus eg. (1)`A-B`, (2) `A-(B uu C)=(A-B) nn (A-C)`
6. Cross Product eg. `A xx B`
7. Prove that any two expression is equal or not eg. `A-(B uu C)=(A-B) nn (A-C)`
8. Cardinality of a set eg. `n(A)`
9. is Belongs To a set eg. `2inB` ?
10. is Subset Of a set eg. `AsubB` ?
11. is two set Equal or not eg. `A=B` ?
15 . Functions
1. Find Range of `f:A->B` eg. 1. `f(x)=5x+2` where `A={1<=x<5}`, 2. `f(x)=sqrt(x)` where `A={1,4,16,36}`
2. Composite functions and Evaluating functions eg. `f(x)=2x+1`, `g(x)=x+5`. Find `fog(x)`, `gof(x)`, `fog(2)`, `f(-3)`, `g(4)`
3. Find value eg. 1. `f(x)=x(x+1)(2x+1)`. Find `f(x)-f(x-1)`, 2. `f(x)=x^2-2^x`. Find `f(2)-f(0)`
16 . Descartes' rule of signs eg. `x^5-x^4+3x^3+9x^2-x+5`
17 . Mathematical Logic, truth tables, logical equivalence eg. Prepare the truth table `p^^(qvvr)=(p^^q)vv(p^^r)`
18 . Boolean Algebra eg. `D_(6)`, `D_(9)` is a boolean algebra ?
 
2. Matrix Algebra Calculators
1. Matrix operations
1. Addition of two matrix
2. Multiplication of two matrix
3. Power of a matrix
4. Transpose of a matrix
5. Determinant of a matrix
6. Adjoint of a matrix
7. Inverse of a matrix
8. Prove that any two matrix expression is equal or not
9. Minor of a matrix
10. Cofactor of a matrix
11. Trace of a matrix
1.2 Matrix operations
1. Reduce matrix
2. Rank of matrix
3. Characteristic polynomial
4. Eigenvalues
5. Eigenvectors
6. Triangular Matrix
7. LU Decomposition
8. Diagonal Matrix
9. Cholesky Decomposition
10. QR Decomposition (GramSchmidt Method)
11. QR Decomposition (HouseHolder Method)
2. Find inverse of a matrix using
1. Simple inverse matrix method
2. Gauss elimination method(method of reduction)
3. Solve linear equation of any number of variables using
1. Inverse Matrix method
2. Cramer's Rule method
3. Gauss Elimination (Jordan) method
4. Gauss Elimination (Back Substitution) method
5. Gauss Seidel method
6. Gauss Jacobi method
 
3. Computer Oriented Numerical method (Conm) Calculators
1. Find a root an equation using
1. Bisection method
2. False Position method
3. Iteration method
4. Newton Raphson method
5. Secant method
6. Birge-Vieta method (for `n^(th)` degree polynomial equation)
2. Numerical Differentiation using Newton's Forward, Backward method
3. Numerical Integration using Trapezoidal, Simpson 1/3, Simpson 3/8 Rule
4. Numerical Interpolation using Forward, Backward, Divided Difference, Langrange's Interpolation method
5. Solve numerical differential equation using
1. Euler, Runge-kutta (Rk2, Rk3, Rk4) methods
2. Adams bashforth predictor method
3. Milne's simpson predictor corrector method
 
4. Statistical Methods Calculators
1. Mean, Median, Mode, Quartiles, Delices, Percentiles, Variance for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
2. grouped data
Class50-5545-5040-4535-4030-3535-3020-25
f2530404580110170
3. Mixed data
Class1256-1010-2020-3030-5050-7070-100
f34102320201532

2. Standard deviation and coefficient of variation for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
2. grouped data Calculate the mean and standard deviation for the following distribution
Class50-5545-5040-4535-4030-3535-3020-25
f2530404580110170
3. Mixed data Calculate the mean and standard deviation for the following distribution
Class1256-1010-2020-3030-5050-7070-100
f34102320201532

3. Combined mean and
combined standard deviation
Find the combined standard deviation from the following data.
AB
number of Observations4060
Average1015
S.D.12

4. Missing frequency for
1. Ungrouped data The Mean of the observations `18,14,15,19,15,a,12,15,16` is `16`. Find missing frequency `a`
2. grouped data The mean of a frequency distribution of 40 persons is 16.5. Find the missing frequencies.
Class0 - 55 - 1010 - 1515 - 2020 - 2525 - 3030 - 35
f1711??42

5. Arithmetic Mean, Geometric Mean, Harmonic Mean
1. Find Arithmetic mean, Geometric mean, Harmonic mean Find Arithmetic mean, Geometric mean, Harmonic mean for ungrouped data like 2,3,4,5,6
2. Find X from Arithmetic mean, Geometric mean, Harmonic mean Find X where Arithmetic mean=3.5 for ungrouped data 2,3,X,5
3. Find Mean or Median or Mode from other two's Find Mode when Mean=3 and Median=4

6. Mean deviation about mean, median, mode for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
2. grouped data Calculate mean deviation about mean for the following distribution.
Marks0-1010-2020-3030-4040-5050-6060-70
No. of srudent65815763

7. Statistics Wording Problem The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and 30 instead of 45 . Find the correct mean.

8. Statistics Graph
1. Histogram
2. Frequency Polygon
3. Frequency Curve
4. Less than type cumulative frequency curve
5. More than type cumulative frequency curve
The frequency distribution of the marks obtained by 100 tudents in a test of Mathematics carrying 50 marks is given below. Draw Histogram, Frequency Polygon, Frequency Curve, Less than type cumulative frequency curve and More than type cumulative frequency curve of the data.
Marks obtained0 - 910 - 1920 - 2930 - 3940 - 49
number of students815204512

9. Correlation Coefficient for
1. X & Y or Class-X & Y Calculate correlation coefficient for following weights fathers X and their sons Y
X6566676768697072
Y6768656872726971
2. Class-X & Class-Y or Class-X & Y Calculate the correlation coefficient
Class-Y
Class-X
90-100100-110110-120120-130
50-554752
55-6061074
60-65612107
65-703863

10. Rank Correlation Coefficient 1. Ten participants in a contest are ranked by two judges as follows
X16510324978
Y64981231057
2. Obtain the rank correlation coefficient for the following data.
X68647550648075405564
Y62586845816068485070

11. Regression lines
1. Regression lines for X & Y and Class-X & Y Find the equation of regression lines and correlation coefficient from the follwoing data.
X28414038353346323633
Y30343134302628312631
2. Correlation Coefficient from Regression Lines The regression equation of two variables are 5y = 9x - 22 and 20x = 9y + 350. Find the means of x and y. Also find the value of r.
3. Regression lines from average, standard deviation, Correlation Coefficient (r) The following information is obtained form the results of examination
Marks in StatsMarks in Maths
Average39.547.5
S.D.10.816.8
The correlation coefficient between x and y is 0.42. Obtain two regression lines and estimate y for x = 50 and x for y = 30.
4. Regression lines from `sum x, sum y, sum x^2, sum y^2, sum xy, n` The follwoing information is obtained for two variables x and y. Find the regression equations of y on x.
`sum XY` = 3467`sum X` = 130`sum X^2` = 2288
n = 10`sum Y` = 220`sum Y^2` = 8822

12. Regression lines for Class-X & Class-Y or Class-X & Y Find Regression Lines
Class-Y
Class-X
90-100100-110110-120120-130
50-554752
55-6061074
60-65612107
65-703863

13. Curve Fitting - Method of Least Square
1. straight line `(y=a+bx)`
2. second degree parabola `(y=a+bx+cx^2)`
3. cubic equation `(y=a+bx+cx^2+dx^3)`
Fit a straight line, second degree parabola, cubic equation for the following data on production.
Year19961997199819992000
Production4050625860

14. Permutation & combination
1. Find `n!`
2. Find `(n!)/(m!)`
3. Find `{::}^nP_r`
4. Find `{::}^nC_r`
5. how many words can be formed from the letters of the word daughter?
6. How many ways a committee of players can be formed ?
7. Permutation, Combination List

15. Probability
1. Coin
2. Dice
3. Cards
4. Balls

 
5. Operation Research Calculators
1. Assignment problem
1. Assignment problem (Using Hungarian method)
2.1 Travelling salesman problem using hungarian method
2.2 Travelling salesman problem using branch and bound (penalty) method
2.3 Travelling salesman problem using branch and bound method
2.4 Travelling salesman problem using nearest neighbor method
3. Crew assignment problem
2. Simplex method (Solve linear programming problem using)
1. Simplex method
2. BigM method
3. Two-Phase method
4. Dual Simplex method
5. Integer Simplex method (Gomory's cutting plane method)
6. Graphical method
7. Primal to dual
8. Branch and Bound method
9. 0-1 Integer programming problem
3. Transportation Problem using
1. North-West corner method
2. Least cost method
3. Vogel's approximation method
4. Optimal solution using MODI method
5. Optimal solution using stepping stone method
4. PERT and CPM
5. Sequencing Problems
6. Replacement and Maintenance Models
1. Model-1 : Replacement policy for items whose running cost increases with time and value of money remains constant during a period
1.1 Model-1.1
1.2 Model-1.2
1.3 Model-1.3
2. Model-2 : Replacement policy for items whose running cost increases with time but value of money changes constant rate during a period
3. Model-3 : Group replacement policy
7. Game Theory
1. Saddle Point
2. Dominance method
3. Algebraic method
4. Calculus method
5. Arithmetic method
6. Matrix method
7. 2Xn Games
8. Graphical method
9. LPP method
10. Bimatrix method
 
6. Wording Problems Calculators
1. Arithmetic Progression
2. Geometric Progression
3. Simple Interest
4. Compound Interest
5. HCF-LCM Wording Problem
6. Installment
7. Percentage
8. Profit Loss Discount
9. Statistics Wording Problem
10. Problem on Ages
11. Unitary Method

 
7. Calculus Calculators
1. Trigonometry
1. Solve expression or prove result, eg. (1) `sin(30)*cos(60)+sin(30)*cos(60)`, (2) `tan(x)+cot(x)`, (3) `tan^2(x)-sin^2(x)`, (4) `csc(x)/cos(x)-cos(x)/sin(x)`
2.1 If `sin(x)=5/13` then find other trigonometry functions
2.2 If `sin(x)=3/5` then solve expression `cos(x)csc(x)+tan(x)sec(x)`
2. Derivative
1. Find Derivative, eg. (1) `d/(dx)(2x^(3)-2x^(2)-5x+4)`, (2) `d/(dx)(log(x)e^(x))`, (3) `d/(dx)(3cos(sin(x)))`
2. Find maximum and minimum value of `y=x^3+6x^2-15x+7`

 
8. Plots & Geometry Calculators
1. Coordinate Geometry Calculators

2. Graphs
1. Graph for any f(x) or f(y)

2. Graph - Using Points and Slope
2.1 Points : (3,-5),(5,3)
2.2 Points on X-axis : -3,5,12,-7,0
2.3 Points on Y-axis : -3,5,12,-7,0
2.4 Lines : x=-3y+5; 2x+y=1; x+2y<=5; x+y>=15
2.5 Line using Slope & point : Slope=7 and Point=(4,6)
2.6 Line using Slope & Y-Intercept : Slope=2 and Y-Intercept=-4
2.7 Line using 2 Points : Point1=(3,-5) and Point2=(5,3)

3. Circle
4. Ellipse
5. Parabola
6. Hyperbola
7. Polar Graph

8. Statistics Graph
8.1 Histogram
8.2 Frequency Polygon
8.3 Frequency Curve
8.4 Less than type cumulative frequency curve
8.5 More than type cumulative frequency curve

2. Area
1. Circle
2. Semi-Circle
3. RegularHexagon
4. Square
5. Rectangle
6. Parallelogram
7. Rhombus
8. Trapezium
9. Scalene Triangle
10. Rightangle Triangle
11. Equilateral Triangle
12. Isoceles Triangle
13. Sector Segment

3. Volume
1. Cuboid
2. Cube
3. Cylinder
4. Cone
5. Sphere
6. Hemi-Sphere

4. Pythagoras Theorem
 
9. Pre-Algebra Calculators
1. Addition, Subtraction, Multiplication, Division of two numbers

2. Pronounce a number
3. Factors of a number (Prime factors, All factors)
4. HCF LCM of numbers
5. Prime Numbers
6. Number Crunching (Solve any numerical expression)

7. Decimal
1. Decimal to Fraction conversion
2. Fraction to Decimal conversion
3. Round off decimal number
4. Decimal number To Scientific notation
5. Scientific notation To Decimal number

9. Fraction
1.1 Reduced Terms
1.2 Improper Fraction To Mixed Number
1.3 Fraction to Decimal
2. Mixed Number To Improper Fraction
3. Compare Two Fraction
4. Addition, Subtraction, Multiplication and Division of Fraction Numbers

10. Power: Square, Cube, Nth Power
11. Radical: Squareroot, Cuberoot, Nth Root
12. Square Root with all steps
13. Cube Root with all steps

14. Number Divisibility Rules (number is divisble by 2,4,8, 3,9, 5,10, 7,11,13,17,19,23,29 using divisibility rules)
15. Find the Next number in the given sequence (number series) (1. 3, 6, 18, 72, ___ 2. 20, 19, 17, 14, 10, ___)

16. Unit Conversion
1. Angle to Degree, Minute & Second Conversion
2. Degree Conversion
3. Length Conversion
4. Mass Conversion
5. Money Conversion
6. Power Conversion
7. Speed Conversion
8. Temperature Conversion
9. Time Conversion
10. Volume Conversion

17. One Base to Other Base Conversion
1. Decimal to Binary
2. Decimal to Octal
3. Decimal to Hexadecimal
4. Binary to Decimal
5. Binary to Octal
6. Binary to Hexadecimal
7. Octal to Decimal
8. Octal to Binary
9. Octal to Hexadecimal
10. Hexadecimal to Decimal
11. Hexadecimal to Binary
12. Hexadecimal to Octal
13. Decimal to Other
14. Other to Decimal
15. Other to Other

18. Tables
1. Addition table
2. Multiplication table rows and columns
3. Multiplication table 1 to 30
4. Roman table
5. Square table
6. Cube table
7. Power table
8. Roman table
9. Sin table
10. Cos table
11. Tan table
12. Sin, Cos, Tan table
13. Area formula
14. Volume formula
15. Factors formula
16. Number system conversion table

19. Place Value
20. Leap Year
 
10. College Algebra Calculators (For BCA, MCA Students)
1. Addition, Subtraction, Multiplication, Division of two numbers
1.1 Addition, Subtraction, Multiplication, Division of two numbers in Decimal
1.2 Addition, Subtraction, Multiplication, Division of two numbers in Binary
1.3 Addition, Subtraction, Multiplication, Division of two numbers in Octal
1.4 Addition, Subtraction, Multiplication, Division of two numbers in HexaDecimal
1.5 Addition, Subtraction, Multiplication, Division of two numbers in Other (Eg: Base=6)
2. Conversion From One Base Number To Other Base Number
3. 1's, 2's, 7's, 8's, 9's, 10's, 15's, 16's complement subtraction method
3.1 1's complement subtraction method
3.2 2's complement subtraction method
3.3 7's complement subtraction method
3.4 8's complement subtraction method
3.5 9's complement subtraction method
3.6 10's complement subtraction method
3.7 15's complement subtraction method
3.8 16's complement subtraction method
4. Matrix Algebra
5. Computer Orientented Numerical Methods (CONM)
6. Computer Orientented Statistical Methods (COSM)
7. Operation Research (OR)
8. Mathematical Logic, truth tables, logical equivalence
9. Boolean Algebra
 
11. Games
1. Online Sudoku Creator and Solver
2. Dots
3. 21 MatchStick Problem
4. Mind-Reader
5. Shift-It
6. 2 Digit Number Guess
7. Minesweeper
8. Tic-Tac-Toe
9. Chess With CPU
10. Concentration
11. Lights Out
12. Three Glass Puzzle (MilkCane Problem)
13. Peg
14. Hanoi Tower
 
 


 
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