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14 KiB
14 KiB
mathgenerator
A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to random math problems to suit their needs.
To try out generators, go to https://todarith.ml/generate/
If you have an idea for a generator, please add it as an issue and tag it with the "New Generator" label.
Usage
The project can be install via pip
pip install mathgenerator
Here is an example of how you would generate an addition problem:
from mathgenerator import mathgen
#generate an addition problem
problem, solution = mathgen.addition()
#another way to generate an addition problem using genById()
problem, solution = mathgen.genById(0)
List of Generators
| Id | Skill | Example problem | Example Solution | Function Name | |||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| [//]: # list start | |||||||||||||||||||||||||||||||||||||
| 0 | Addition | 15+24= | 39 | addition | |||||||||||||||||||||||||||||||||
| 1 | Subtraction | 25-1= | 24 | subtraction | |||||||||||||||||||||||||||||||||
| 2 | Multiplication | 1*88= | 88 | multiplication | |||||||||||||||||||||||||||||||||
| 3 | Division | 42/80= | 0.525 | division | |||||||||||||||||||||||||||||||||
| 4 | Binary Complement 1s | 00100011= | 11011100 | binary_complement_1s | |||||||||||||||||||||||||||||||||
| 5 | Modulo Division | 27%18= | 9 | modulo_division | |||||||||||||||||||||||||||||||||
| 6 | Square Root | sqrt(36)= | 6 | square_root | |||||||||||||||||||||||||||||||||
| 7 | Power Rule Differentiation | 1x^7 | 7x^6 | power_rule_differentiation | |||||||||||||||||||||||||||||||||
| 8 | Square | 15^2= | 225 | square | |||||||||||||||||||||||||||||||||
| 9 | LCM (Least Common Multiple) | LCM of 19 and 6 = | 114 | lcm | |||||||||||||||||||||||||||||||||
| 10 | GCD (Greatest Common Denominator) | GCD of 14 and 17 = | 1 | gcd | |||||||||||||||||||||||||||||||||
| 11 | Basic Algebra | 8x + 10 = 10 | 0 | basic_algebra | |||||||||||||||||||||||||||||||||
| 12 | Logarithm | log3(3) | 1 | log | |||||||||||||||||||||||||||||||||
| 13 | Easy Division | 169/13 = | 13 | int_division | |||||||||||||||||||||||||||||||||
| 14 | Decimal to Binary | Binary of 55= | 110111 | decimal_to_binary | |||||||||||||||||||||||||||||||||
| 15 | Binary to Decimal | 0 | 0 | binary_to_decimal | |||||||||||||||||||||||||||||||||
| 16 | Fraction Division | (1/3)/(8/4) | 1/6 | divide_fractions | |||||||||||||||||||||||||||||||||
| 17 | Integer Multiplication with 2x2 Matrix | 2 * 6, 1], [9, 2 = | 12,2],[18,4 | multiply_int_to_22_matrix | |||||||||||||||||||||||||||||||||
| 18 | Area of Triangle | Area of triangle with side lengths: 10 12 1 = | (5.827134701491688e-16+9.51643315533714j) | area_of_triangle | |||||||||||||||||||||||||||||||||
| 19 | Triangle exists check | Does triangle with sides 24, 11 and 22 exist? | Yes | valid_triangle | |||||||||||||||||||||||||||||||||
| 20 | Midpoint of the two point | (-1,6),(4,13)= | (1.5,9.5) | midpoint_of_two_points | |||||||||||||||||||||||||||||||||
| 21 | Factoring Quadratic | x^2-15x+54 | (x-6)(x-9) | factoring | |||||||||||||||||||||||||||||||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 30 and 49 = | 101 | third_angle_of_triangle | |||||||||||||||||||||||||||||||||
| 23 | Solve a System of Equations in R^2 | -x + 3y = 23, 2x + 6y = 74 | x = 7, y = 10 | system_of_equations | |||||||||||||||||||||||||||||||||
| 24 | Distance between 2 points | Find the distance between (-2, -1) and (9, 21) | sqrt(605) | distance_two_points | |||||||||||||||||||||||||||||||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 1 and 2 = | 2.24 | pythagorean_theorem | |||||||||||||||||||||||||||||||||
| 26 | Linear Equations | -3x + 5y = 47, -2x + 5y = 63 | x = 16, y = 19 | linear_equations | |||||||||||||||||||||||||||||||||
| 27 | Prime Factorisation | Find prime factors of 58 | [2, 29] | prime_factors | |||||||||||||||||||||||||||||||||
| 28 | Fraction Multiplication | (3/5)*(5/9) | 1/3 | fraction_multiplication | |||||||||||||||||||||||||||||||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 6 sides | 120.0 | angle_regular_polygon | |||||||||||||||||||||||||||||||||
| 30 | Combinations of Objects | Number of combinations from 14 objects picked 8 at a time | 3003 | combinations | |||||||||||||||||||||||||||||||||
| 31 | Factorial | 1! = | 1 | factorial | |||||||||||||||||||||||||||||||||
| 32 | Surface Area of Cube | Surface area of cube with side = 10m is | 600 m^2 | surface_area_cube | |||||||||||||||||||||||||||||||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 7m, 20m, 12m is | 928 m^2 | surface_area_cuboid | |||||||||||||||||||||||||||||||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 33m and radius = 6m is | 1470 m^2 | surface_area_cylinder | |||||||||||||||||||||||||||||||||
| 35 | Volum of Cube | Volume of cube with side = 18m is | 5832 m^3 | volume_cube | |||||||||||||||||||||||||||||||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 3m, 20m, 20m is | 1200 m^3 | volume_cuboid | |||||||||||||||||||||||||||||||||
| 37 | Volume of cylinder | Volume of cylinder with height = 14m and radius = 10m is | 4398 m^3 | volume_cylinder | |||||||||||||||||||||||||||||||||
| 38 | Surface Area of cone | Surface area of cone with height = 19m and radius = 1m is | 62 m^2 | surface_area_cone | |||||||||||||||||||||||||||||||||
| 39 | Volume of cone | Volume of cone with height = 17m and radius = 13m is | 3008 m^3 | volume_cone | |||||||||||||||||||||||||||||||||
| 40 | Common Factors | Common Factors of 81 and 74 = | [1] | common_factors | |||||||||||||||||||||||||||||||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -7/2x - 5 and y = -10/4x + 6 | (-11, 67/2) | intersection_of_two_lines | |||||||||||||||||||||||||||||||||
| 42 | Permutations | Number of Permutations from 17 objects picked 8 at a time = | 980179200 | permutation | |||||||||||||||||||||||||||||||||
| 43 | Cross Product of 2 Vectors | [3, -10, 2] X [8, 8, -9] = | [74, 43, 104] | vector_cross | |||||||||||||||||||||||||||||||||
| 44 | Compare Fractions | Which symbol represents the comparison between 5/6 and 10/7? | < | compare_fractions | |||||||||||||||||||||||||||||||||
| 45 | Simple Interest | Simple interest for a principle amount of 1332 dollars, 7% rate of interest and for a time period of 8 years is = | 745.92 | simple_interest | |||||||||||||||||||||||||||||||||
| 46 | Multiplication of two matrices | Multiply
|
|
matrix_multiplication | |||||||||||||||||||||||||||||||||
| 47 | Cube Root | cuberoot of 845 upto 2 decimal places is: | 9.45 | cube_root | |||||||||||||||||||||||||||||||||
| 48 | Power Rule Integration | 10x^7 + 7x^2 + 1x^10 + 9x^10 + 6x^1 | (10/7)x^8 + (7/2)x^3 + (1/10)x^11 + (9/10)x^11 + (6/1)x^2 + c | power_rule_integration | |||||||||||||||||||||||||||||||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 24 , 205, 108 = | 23 | fourth_angle_of_quadrilateral | |||||||||||||||||||||||||||||||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 4x^2+38x+53=0 | [-1.7, -7.8] | quadratic_equation | |||||||||||||||||||||||||||||||||
| 51 | HCF (Highest Common Factor) | HCF of 3 and 5 = | 1 | hcf | |||||||||||||||||||||||||||||||||
| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 6 = | 1/6 | dice_sum_probability | |||||||||||||||||||||||||||||||||
| 53 | Exponentiation | 13^7 = | 62748517 | exponentiation | |||||||||||||||||||||||||||||||||
| 54 | Confidence interval For sample S | The confidence interval for sample [246, 234, 252, 233, 250, 229, 272, 299, 214, 287, 263, 237, 209, 279, 230, 244, 265, 284, 266, 260] with 90% confidence is | (261.450577042693, 243.849422957307) | confidence_interval | |||||||||||||||||||||||||||||||||
| 55 | Comparing surds | Fill in the blanks 61^(1/3) _ 54^(1/6) | > | surds_comparison | |||||||||||||||||||||||||||||||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 12 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89] | fibonacci_series | |||||||||||||||||||||||||||||||||
| 57 | Trigonometric Values | What is tan(60)? | √3 | basic_trigonometry | |||||||||||||||||||||||||||||||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 10 sides = | 1440 | sum_of_polygon_angles | |||||||||||||||||||||||||||||||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[48, 15, 20, 21, 30, 17, 8, 13, 27, 7, 41, 34, 50, 18, 19] | The Mean is 24.533333333333335 , Standard Deviation is 170.91555555555558, Variance is 13.073467617872298 | data_summary | |||||||||||||||||||||||||||||||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 18m is | 4071.5040790523717 m^2 | surface_area_sphere | |||||||||||||||||||||||||||||||||
| 61 | Volume of Sphere | Volume of sphere with radius 32 m = | 137258.27743044044 m^3 | volume_sphere | |||||||||||||||||||||||||||||||||
| 62 | nth Fibonacci number | What is the 67th Fibonacci number? | 44945570212853 | nth_fibonacci_number | |||||||||||||||||||||||||||||||||
| 63 | Profit or Loss Percent | Profit percent when CP = 15 and SP = 981 is: | 6440.000000000001 | profit_loss_percent | |||||||||||||||||||||||||||||||||
| 64 | Binary to Hexidecimal | 1011 | 0xb | binary_to_hex | |||||||||||||||||||||||||||||||||
| 65 | Multiplication of 2 complex numbers | (-13-6j) * (-13-17j) = | (67+299j) | multiply_complex_numbers | |||||||||||||||||||||||||||||||||
| 66 | Geometric Progression | For the given GP [7, 49, 343, 2401, 16807, 117649] ,Find the value of a,common ratio,6th term value, sum upto 9th term | The value of a is 7, common ratio is 7 , 6th term is 117649 , sum upto 9th term is 47079207.0 | geometric_progression | |||||||||||||||||||||||||||||||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 67 , 39 and 61 = | (673961)^(1/3) = 54.2196131865444 | geometric_mean | |||||||||||||||||||||||||||||||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 51 and 18 = | 2/((1/51) + (1/18)) = 26.608695652173914 | harmonic_mean | |||||||||||||||||||||||||||||||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[475.73215854843386, 666.5961230551579, 318.8322922614731, 347.0393782548222, 132.48630879767597, 29.71776575489249, 241.27251126475247, 183.2591565913506, 829.9340763816024, 450.0454983692942, 227.01770730801584, 543.7951344512942, 704.1995480202837, 416.40405265214866] is: | 1706.1257272861317 | euclidian_norm | |||||||||||||||||||||||||||||||||
| 70 | Angle between 2 vectors | angle between the vectors [520.47, 629.68, 925.7, 911.2, 727.7, 843.94, 808.55, 80.4, 157.49, 661.37, 877.4, 196.54, 283.16, 69.83] and [840.19, 459.69, 241.22, 334.45, 5.59, 696.72, 776.19, 223.28, 414.7, 875.6, 837.18, 68.45, 863.78, 961.51] is: | 0.72 radians | angle_btw_vectors | |||||||||||||||||||||||||||||||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers 6 and -66 = | 72 | absolute_difference | |||||||||||||||||||||||||||||||||
| 72 | Dot Product of 2 Vectors | [-7, -13, -11] . [0, -3, -17] = | 226 | vector_dot | |||||||||||||||||||||||||||||||||
| 73 | Binary 2's Complement | 2's complement of 10110 = | 1010 | binary_2s_complement | |||||||||||||||||||||||||||||||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix(1, 94, 7], [25, 90, 5], [73, 43, 60) is: | Matrix(-1037/27994, 5339/139970, 16/13997], [227/27994, 451/139970, -17/13997], [1099/27994, -6819/139970, 226/13997) | invert_matrix | |||||||||||||||||||||||||||||||||
| 75 | Area of a Sector | Given radius, 21 and angle, 2. Find the area of the sector. | Area of sector = 7.69690 | sector_area | |||||||||||||||||||||||||||||||||
| 76 | Mean and Median | Given the series of numbers [96, 45, 60, 15, 20, 4, 29, 36, 69, 47]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 42.1 and Arithmetic median of this series is 40.5 | mean_median | |||||||||||||||||||||||||||||||||
| 77 | Determinant to 2x2 Matrix | Det(59, 81], [33, 79) = | 1988 | int_matrix_22_determinant | |||||||||||||||||||||||||||||||||
| 78 | Compound Interest | Compound interest for a principle amount of 8179 dollars, 7% rate of interest and for a time period of 1 year is = | 8751.53 | compound_interest | |||||||||||||||||||||||||||||||||
| 79 | Decimal to Hexadecimal | Binary of 106= | 0x6a | decimal_to_hexadeci | |||||||||||||||||||||||||||||||||
| 80 | Percentage of a number | What is 5% of 98? | Required percentage = 4.90% | percentage | |||||||||||||||||||||||||||||||||
| 81 | Celsius To Fahrenheit | Convert 67 degrees Celsius to degrees Fahrenheit = | 152.60000000000002 | celsius_to_fahrenheit | |||||||||||||||||||||||||||||||||
| 82 | AP Term Calculation | Find the term number 56 of the AP series: -55, -142, -229 ... | -4840 | arithmetic_progression_term | |||||||||||||||||||||||||||||||||
| 83 | AP Sum Calculation | Find the sum of first 46 terms of the AP series: 96, 169, 242 ... | 79971.0 | arithmetic_progression_sum | |||||||||||||||||||||||||||||||||
| 84 | Converts decimal to octal | The decimal number 7 in Octal is: | 0o7 | decimal_to_octal | |||||||||||||||||||||||||||||||||
| 85 | Converts decimal to Roman Numerals | The number 2558 in Roman Numerals is: | MMDLVIII | decimal_to_roman_numerals | |||||||||||||||||||||||||||||||||
| 86 | Degrees to Radians | Angle 313 in radians is = | 5.46 | degree_to_rad | |||||||||||||||||||||||||||||||||
| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg | |||||||||||||||||||||||||||||||||
| 88 | Differentiation | differentiate w.r.t x : d(sin(x)+2*x^(-3))/dx | cos(x) - 6/x^4 | differentiation | |||||||||||||||||||||||||||||||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 22x^2 + 32x + 88 is = | 111.3333 | definite_integral | |||||||||||||||||||||||||||||||||
| 90 | isprime | 28 | False | is_prime | |||||||||||||||||||||||||||||||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 6 is = | 25632 | bcd_to_decimal | |||||||||||||||||||||||||||||||||
| 92 | Complex To Polar Form | rexp(itheta) = | 23.85exp(i-2.15) | complex_to_polar | |||||||||||||||||||||||||||||||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 5, 6, 7, 9} ,b={9, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 7, 9},Intersection is {9, 6, 7}, a-b is {1, 2, 5},b-a is {3}, Symmetric difference is {1, 2, 3, 5} | set_operation | |||||||||||||||||||||||||||||||||
| 94 | Base Conversion | Convert 215 from base 16 to base 2. | 1000010101 | base_conversion | |||||||||||||||||||||||||||||||||
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 3 and height, 33? | CSA of cylinder = 622.04 | curved_surface_area_cylinder | |||||||||||||||||||||||||||||||||
| 96 | Perimeter of Polygons | The perimeter of a 5 sided polygon with lengths of [21, 36, 107, 101, 15]cm is: | 280 | perimeter_of_polygons | |||||||||||||||||||||||||||||||||
| 97 | Power of Powers | The 47^10^9 = 47^(10*9) = 47^90 | 3081819609348702575993710664086973378213775077494296491025662508716527867059742510518129558368670228609205866092648641076825215755720847840202232380449 | power_of_powers | |||||||||||||||||||||||||||||||||
| 98 | Quotient of Powers with Same Base | The Quotient of 21^2 and 21^9 = 21^(2-9) = 21^-7 | 5.552197891641574e-10 | quotient_of_power_same_base | |||||||||||||||||||||||||||||||||
| 99 | Quotient of Powers with Same Power | The Quotient of 25^1 and 3^1 = (25/3)^1 = 8.333333333333334^1 | 8.333333333333334 | quotient_of_power_same_power | |||||||||||||||||||||||||||||||||
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 3x^2 + 5x + 2 = 0 | simplified solution : ((-0.667, -1.0)), generalized solution : ((-5 + 1)/23, (-5 - 1)/23) | complex_quadratic | |||||||||||||||||||||||||||||||||
| 101 | Leap Year or Not | Year 2049 | is not a leap year | is_leap_year | |||||||||||||||||||||||||||||||||
| 102 | Minute to Hour conversion | Convert 960 minutes to Hours & Minutes | 16 hours and 0 minutes | minutes_to_hours | |||||||||||||||||||||||||||||||||
| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 6561 is = | 19101 | decimal_to_bcd | |||||||||||||||||||||||||||||||||
| 104 | Circumference | Circumference of circle with radius 11 | 69.14285714285714 | circumference |