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13 KiB
13 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 | 37+8= | 45 | addition | |||||||||||||||||||||||||||||||||
| 1 | Subtraction | 45-36= | 9 | subtraction | |||||||||||||||||||||||||||||||||
| 2 | Multiplication | 92*1= | 92 | multiplication | |||||||||||||||||||||||||||||||||
| 3 | Division | 26/67= | 0.3880597014925373 | division | |||||||||||||||||||||||||||||||||
| 4 | Binary Complement 1s | 010111011= | 101000100 | binary_complement_1s | |||||||||||||||||||||||||||||||||
| 5 | Modulo Division | 64%55= | 9 | modulo_division | |||||||||||||||||||||||||||||||||
| 6 | Square Root | sqrt(81)= | 9 | square_root | |||||||||||||||||||||||||||||||||
| 7 | Power Rule Differentiation | 10x^7 + 5x^9 + 8x^9 + 3x^2 + 7x^5 | 70x^6 + 45x^8 + 72x^8 + 6x^1 + 35x^4 | power_rule_differentiation | |||||||||||||||||||||||||||||||||
| 8 | Square | 16^2= | 256 | square | |||||||||||||||||||||||||||||||||
| 9 | LCM (Least Common Multiple) | LCM of 16 and 1 = | 16 | lcm | |||||||||||||||||||||||||||||||||
| 10 | GCD (Greatest Common Denominator) | GCD of 2 and 18 = | 2 | gcd | |||||||||||||||||||||||||||||||||
| 11 | Basic Algebra | 4x + 5 = 10 | 5/4 | basic_algebra | |||||||||||||||||||||||||||||||||
| 12 | Logarithm | log2(2) | 1 | log | |||||||||||||||||||||||||||||||||
| 13 | Easy Division | 4/1 = | 4 | int_division | |||||||||||||||||||||||||||||||||
| 14 | Decimal to Binary | Binary of 37= | 100101 | decimal_to_binary | |||||||||||||||||||||||||||||||||
| 15 | Binary to Decimal | 0100110 | 38 | binary_to_decimal | |||||||||||||||||||||||||||||||||
| 16 | Fraction Division | (10/8)/(1/2) | 5/2 | divide_fractions | |||||||||||||||||||||||||||||||||
| 17 | Integer Multiplication with 2x2 Matrix | 7 * 7, 10], [3, 9 = | 49,70],[21,63 | multiply_int_to_22_matrix | |||||||||||||||||||||||||||||||||
| 18 | Area of Triangle | Area of triangle with side lengths: 9 2 5 = | (7.347880794884119e-16+12j) | area_of_triangle | |||||||||||||||||||||||||||||||||
| 19 | Triangle exists check | Does triangle with sides 8, 33 and 19 exist? | No | valid_triangle | |||||||||||||||||||||||||||||||||
| 20 | Midpoint of the two point | (-2,1),(6,2)= | (2.0,1.5) | midpoint_of_two_points | |||||||||||||||||||||||||||||||||
| 21 | Factoring Quadratic | x^2+13x+30 | (x+3)(x+10) | factoring | |||||||||||||||||||||||||||||||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 57 and 85 = | 38 | third_angle_of_triangle | |||||||||||||||||||||||||||||||||
| 23 | Solve a System of Equations in R^2 | -3x + 3y = 39, 4x - 8y = -72 | x = -8, y = 5 | system_of_equations | |||||||||||||||||||||||||||||||||
| 24 | Distance between 2 points | Find the distance between (17, 21) and (-14, 1) | sqrt(1361) | distance_two_points | |||||||||||||||||||||||||||||||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 17 and 14 = | 22.02 | pythagorean_theorem | |||||||||||||||||||||||||||||||||
| 26 | Linear Equations | -16x + 4y = -160, 12x + -1y = 96 | x = 7, y = -12 | linear_equations | |||||||||||||||||||||||||||||||||
| 27 | Prime Factorisation | Find prime factors of 117 | [3, 3, 13] | prime_factors | |||||||||||||||||||||||||||||||||
| 28 | Fraction Multiplication | (1/2)*(1/4) | 1/8 | fraction_multiplication | |||||||||||||||||||||||||||||||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angle_regular_polygon | |||||||||||||||||||||||||||||||||
| 30 | Combinations of Objects | Number of combinations from 17 objects picked 4 at a time | 2380 | combinations | |||||||||||||||||||||||||||||||||
| 31 | Factorial | 6! = | 720 | factorial | |||||||||||||||||||||||||||||||||
| 32 | Surface Area of Cube | Surface area of cube with side = 3m is | 54 m^2 | surface_area_cube | |||||||||||||||||||||||||||||||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 17m, 7m, 16m is | 1006 m^2 | surface_area_cuboid | |||||||||||||||||||||||||||||||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 4m and radius = 19m is | 2745 m^2 | surface_area_cylinder | |||||||||||||||||||||||||||||||||
| 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volume_cube | |||||||||||||||||||||||||||||||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 11m, 18m, 9m is | 1782 m^3 | volume_cuboid | |||||||||||||||||||||||||||||||||
| 37 | Volume of cylinder | Volume of cylinder with height = 28m and radius = 17m is | 25421 m^3 | volume_cylinder | |||||||||||||||||||||||||||||||||
| 38 | Surface Area of cone | Surface area of cone with height = 21m and radius = 7m is | 640 m^2 | surface_area_cone | |||||||||||||||||||||||||||||||||
| 39 | Volume of cone | Volume of cone with height = 23m and radius = 13m is | 4070 m^3 | volume_cone | |||||||||||||||||||||||||||||||||
| 40 | Common Factors | Common Factors of 86 and 2 = | [1, 2] | common_factors | |||||||||||||||||||||||||||||||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10/4x - 8 and y = -9/4x - 2 | (24/19, -92/19) | intersection_of_two_lines | |||||||||||||||||||||||||||||||||
| 42 | Permutations | Number of Permutations from 20 objects picked 5 at a time = | 1860480 | permutation | |||||||||||||||||||||||||||||||||
| 43 | Cross Product of 2 Vectors | [17, -12, 17] X [-13, -17, 10] = | [169, -391, -445] | vector_cross | |||||||||||||||||||||||||||||||||
| 44 | Compare Fractions | Which symbol represents the comparison between 4/10 and 10/3? | < | compare_fractions | |||||||||||||||||||||||||||||||||
| 45 | Simple Interest | Simple interest for a principle amount of 8120 dollars, 3% rate of interest and for a time period of 9 years is = | 2192.4 | simple_interest | |||||||||||||||||||||||||||||||||
| 46 | Multiplication of two matrices | Multiply
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matrix_multiplication | |||||||||||||||||||||||||||||||||
| 47 | Cube Root | cuberoot of 7 upto 2 decimal places is: | 1.91 | cube_root | |||||||||||||||||||||||||||||||||
| 48 | Power Rule Integration | 8x^1 | (8/1)x^2 + c | power_rule_integration | |||||||||||||||||||||||||||||||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 44 , 100, 31 = | 185 | fourth_angle_of_quadrilateral | |||||||||||||||||||||||||||||||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 19x^2+181x+1=0 | [-0.01, -9.52] | quadratic_equation | |||||||||||||||||||||||||||||||||
| 51 | HCF (Highest Common Factor) | HCF of 9 and 4 = | 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 2 = | 1/6 | dice_sum_probability | |||||||||||||||||||||||||||||||||
| 53 | Exponentiation | 2^1 = | 2 | exponentiation | |||||||||||||||||||||||||||||||||
| 54 | Confidence interval For sample S | The confidence interval for sample [241, 269, 277, 202, 271, 215, 260, 265, 216, 267, 297, 219, 262, 273, 212, 268, 294, 210, 286, 235, 270, 231, 272, 289, 245, 283, 250] with 80% confidence is | (261.63267428757547, 247.92288126798007) | confidence_interval | |||||||||||||||||||||||||||||||||
| 55 | Comparing surds | Fill in the blanks 57^(1/5) _ 94^(1/7) | > | surds_comparison | |||||||||||||||||||||||||||||||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 9 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21] | fibonacci_series | |||||||||||||||||||||||||||||||||
| 57 | Trigonometric Values | What is sin(90)? | 1 | 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[39, 33, 10, 49, 21, 9, 9, 20, 50, 10, 41, 12, 50, 50, 29] | The Mean is 28.8 , Standard Deviation is 262.56000000000006, Variance is 16.203703280423277 | data_summary | |||||||||||||||||||||||||||||||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 3m is | 113.09733552923255 m^2 | surface_area_sphere | |||||||||||||||||||||||||||||||||
| 61 | Volume of Sphere | Volume of sphere with radius 38 m = | 229847.29611703884 m^3 | volume_sphere | |||||||||||||||||||||||||||||||||
| 62 | nth Fibonacci number | What is the 24th Fibonacci number? | 46368 | nth_fibonacci_number | |||||||||||||||||||||||||||||||||
| 63 | Profit or Loss Percent | Profit percent when CP = 173 and SP = 357 is: | 106.35838150289017 | profit_loss_percent | |||||||||||||||||||||||||||||||||
| 64 | Binary to Hexidecimal | 1000110 | 0x46 | binary_to_hex | |||||||||||||||||||||||||||||||||
| 65 | Multiplication of 2 complex numbers | (14-4j) * (5-12j) = | (22-188j) | multiply_complex_numbers | |||||||||||||||||||||||||||||||||
| 66 | Geometric Progression | For the given GP [11, 66, 396, 2376, 14256, 85536] ,Find the value of a,common ratio,11th term value, sum upto 7th term | The value of a is 11, common ratio is 6 , 11th term is 665127936 , sum upto 7th term is 615857.0 | geometric_progression | |||||||||||||||||||||||||||||||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 61 and 67 = | (61*67)^(1/2) = 63.92964883369844 | geometric_mean | |||||||||||||||||||||||||||||||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 62 and 84 = | 2/((1/62) + (1/84)) = 71.34246575342466 | harmonic_mean | |||||||||||||||||||||||||||||||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[783.9868296299311, 482.5604033573253, 863.1029339509203, 956.7790571651393, 863.0425006034349] is: | 1803.5285106129884 | euclidian_norm | |||||||||||||||||||||||||||||||||
| 70 | Angle between 2 vectors | angle between the vectors [379.65, 308.56] and [100.22, 686.67] is: | 0.74 radians | angle_btw_vectors | |||||||||||||||||||||||||||||||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers 18 and 79 = | 61 | absolute_difference | |||||||||||||||||||||||||||||||||
| 72 | Dot Product of 2 Vectors | [14, 11, -1] . [-20, 10, 18] = | -188 | vector_dot | |||||||||||||||||||||||||||||||||
| 73 | Binary 2's Complement | 2's complement of 111110 = | 10 | binary_2s_complement | |||||||||||||||||||||||||||||||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix(68, 2, 85], [70, 19, 47], [17, 38, 6) is: | Matrix(-1672/85707, 3218/85707, -169/9523], [379/85707, -1037/85707, 306/9523], [779/28569, -850/28569, 128/9523) | invert_matrix | |||||||||||||||||||||||||||||||||
| 75 | Area of a Sector | Given radius, 18 and angle, 67. Find the area of the sector. | Area of sector = 189.43804 | sector_area | |||||||||||||||||||||||||||||||||
| 76 | Mean and Median | Given the series of numbers [40, 66, 30, 32, 78, 27, 6, 35, 86, 3]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 40.3 and Arithmetic median of this series is 33.5 | mean_median | |||||||||||||||||||||||||||||||||
| 77 | Determinant to 2x2 Matrix | Det(65, 36], [75, 98) = | 3670 | int_matrix_22_determinant | |||||||||||||||||||||||||||||||||
| 78 | Compound Interest | Compound interest for a principle amount of 9481 dollars, 5% rate of interest and for a time period of 1 year is = | 9955.05 | compound_interest | |||||||||||||||||||||||||||||||||
| 79 | Decimal to Hexadecimal | Binary of 972= | 0x3cc | decimal_to_hexadeci | |||||||||||||||||||||||||||||||||
| 80 | Percentage of a number | What is 92% of 17? | Required percentage = 15.64% | percentage | |||||||||||||||||||||||||||||||||
| 81 | Celsius To Fahrenheit | Convert 68 degrees Celsius to degrees Fahrenheit = | 154.4 | celsius_to_fahrenheit | |||||||||||||||||||||||||||||||||
| 82 | AP Term Calculation | Find the term number 58 of the AP series: 21, -42, -105 ... | -3570 | arithmetic_progression_term | |||||||||||||||||||||||||||||||||
| 83 | AP Sum Calculation | Find the sum of first 6 terms of the AP series: -37, -108, -179 ... | -1287.0 | arithmetic_progression_sum | |||||||||||||||||||||||||||||||||
| 84 | Converts decimal to octal | The decimal number 988 in Octal is: | 0o1734 | decimal_to_octal | |||||||||||||||||||||||||||||||||
| 85 | Converts decimal to Roman Numerals | The number 1930 in Roman Numerals is: | MCMXXX | decimal_to_roman_numerals | |||||||||||||||||||||||||||||||||
| 86 | Degrees to Radians | Angle 87 in radians is = | 1.52 | degree_to_rad | |||||||||||||||||||||||||||||||||
| 87 | Radians to Degrees | Angle 2 in degrees is = | 114.59 | radian_to_deg | |||||||||||||||||||||||||||||||||
| 88 | Differentiation | differentiate w.r.t x : d(cos(x)+7*x^(-4))/dx | -sin(x) - 28/x^5 | differentiation | |||||||||||||||||||||||||||||||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 12x^2 + 95x + 87 is = | 138.5 | definite_integral | |||||||||||||||||||||||||||||||||
| 90 | isprime | 77 | False | is_prime | |||||||||||||||||||||||||||||||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 3 is = | 13891 | bcd_to_decimal | |||||||||||||||||||||||||||||||||
| 92 | Complex To Polar Form | rexp(itheta) = | 21.63exp(i-2.16) | complex_to_polar | |||||||||||||||||||||||||||||||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 3, 4, 5, 7} ,b={1, 3, 4, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 5, 7},Intersection is {1, 3, 4, 7}, a-b is {5},b-a is set(), Symmetric difference is {5} | set_operation | |||||||||||||||||||||||||||||||||
| 94 | Base Conversion | Convert 6C38 from base 15 to base 10. | 23003 | base_conversion | |||||||||||||||||||||||||||||||||
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 15 and height, 67? | CSA of cylinder = 6314.6 | curved_surface_area_cylinder | |||||||||||||||||||||||||||||||||
| 96 | Perimeter of Polygons | The perimeter of a 11 sided polygon with lengths of [34, 21, 86, 40, 83, 32, 4, 75, 86, 106, 48]cm is: | 615 | perimeter_of_polygons | |||||||||||||||||||||||||||||||||
| 97 | Power of Powers | The 4^8^4 = 4^(8*4) = 4^32 | 18446744073709551616 | power_of_powers | |||||||||||||||||||||||||||||||||
| 98 | Quotient of Powers with Same Base | The Quotient of 17^6 and 17^5 = 17^(6-5) = 17^1 | 17 | quotient_of_power_same_base | |||||||||||||||||||||||||||||||||
| 99 | Quotient of Powers with Same Power | The Quotient of 45^7 and 41^7 = (45/41)^7 = 1.0975609756097562^7 | 1.9186713887127431 | quotient_of_power_same_power | |||||||||||||||||||||||||||||||||
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 6x^2 + 8x + 2 = 0 | simplified solution : ((-0.333, -1.0)), generalized solution : ((-8 + 4)/26, (-8 - 4)/26) | complex_quadratic | |||||||||||||||||||||||||||||||||
| 101 | Conditional Probability | Someone tested positive for a nasty disease which only 1.96% of population have. Test sensitivity (true positive) is equal to SN= 99.00% whereas test specificity (true negative) SP= 94.80%. What is the probability that this guy really has that disease? | 27.57% | conitionalProbability |