100 Numpy Exercises With Hint
title: "100 numpy exercises with hint" date: 2026-05-24T13:50:42Z
100 numpy exercises with hint
This is a collection of exercises that have been collected in the numpy mailing list, on stack overflow and in the numpy documentation. The goal of this collection is to offer a quick reference for both old and new users but also to provide a set of exercises for those who teach.
If you find an error or think you've a better way to solve some of them, feel free to open an issue at https://github.com/rougier/numpy-100
1. Import the numpy package under the name np (★☆☆)
(hint: import … as …)
2. Print the numpy version and the configuration (★☆☆)
(hint: np.__version__, np.show_config)
3. Create a null vector of size 10 (★☆☆)
(hint: np.zeros)
4. How to find the memory size of any array (★☆☆)
(hint: size, itemsize)
5. How to get the documentation of the numpy add function from the command line? (★☆☆)
(hint: np.info)
6. Create a null vector of size 10 but the fifth value which is 1 (★☆☆)
(hint: array[4])
7. Create a vector with values ranging from 10 to 49 (★☆☆)
(hint: np.arange)
8. Reverse a vector (first element becomes last) (★☆☆)
(hint: array[::-1])
9. Create a 3x3 matrix with values ranging from 0 to 8 (★☆☆)
(hint: reshape)
10. Find indices of non-zero elements from [1,2,0,0,4,0] (★☆☆)
(hint: np.nonzero)
11. Create a 3x3 identity matrix (★☆☆)
(hint: np.eye)
12. Create a 3x3x3 array with random values (★☆☆)
(hint: np.random.random)
13. Create a 10x10 array with random values and find the minimum and maximum values (★☆☆)
(hint: min, max)
14. Create a random vector of size 30 and find the mean value (★☆☆)
(hint: mean)
15. Create a 2d array with 1 on the border and 0 inside (★☆☆)
(hint: array[1:-1, 1:-1])
16. How to add a border (filled with 0's) around an existing array? (★☆☆)
(hint: np.pad)
17. What is the result of the following expression? (★☆☆)
(hint: NaN = not a number, inf = infinity)
10 * np.nan
2np.nan == np.nan
3np.inf > np.nan
4np.nan - np.nan
5np.nan in set([np.nan])
60.3 == 3 * 0.1
18. Create a 5x5 matrix with values 1,2,3,4 just below the diagonal (★☆☆)
(hint: np.diag)
19. Create a 8x8 matrix and fill it with a checkerboard pattern (★☆☆)
(hint: array[::2])
20. Consider a (6,7,8) shape array, what is the index (x,y,z) of the 100th element?
(hint: np.unravel_index)
21. Create a checkerboard 8x8 matrix using the tile function (★☆☆)
(hint: np.tile)
22. Normalize a 5x5 random matrix (★☆☆)
(hint: (x - mean) / std)
23. Create a custom dtype that describes a color as four unsigned bytes (RGBA) (★☆☆)
(hint: np.dtype)
24. Multiply a 5x3 matrix by a 3x2 matrix (real matrix product) (★☆☆)
(hint: np.dot | @)
25. Given a 1D array, negate all elements which are between 3 and 8, in place. (★☆☆)
(hint: >, <=)
26. What is the output of the following script? (★☆☆)
(hint: np.sum)
1# Author: Jake VanderPlas
2
3print(sum(range(5),-1))
4from numpy import *
5print(sum(range(5),-1))
27. Consider an integer vector Z, which of these expressions are legal? (★☆☆)
1Z**Z
22 << Z >> 2
3Z <- Z
41j*Z
5Z/1/1
6Z<Z>Z
28. What are the result of the following expressions?
1np.array(0) / np.array(0)
2np.array(0) // np.array(0)
3np.array([np.nan]).astype(int).astype(float)
29. How to round away from zero a float array ? (★☆☆)
(hint: np.uniform, np.copysign, np.ceil, np.abs)
30. How to find common values between two arrays? (★☆☆)
(hint: np.intersect1d)
31. How to ignore all numpy warnings (not recommended)? (★☆☆)
(hint: np.seterr, np.errstate)
32. Is the following expressions true? (★☆☆)
(hint: imaginary number)
1np.sqrt(-1) == np.emath.sqrt(-1)
33. How to get the dates of yesterday, today and tomorrow? (★☆☆)
(hint: np.datetime64, np.timedelta64)
34. How to get all the dates corresponding to the month of July 2016? (★★☆)
(hint: np.arange(dtype=datetime64['D']))
35. How to compute ((A+B)*(-A/2)) in place (without copy)? (★★☆)
(hint: np.add(out=), np.negative(out=), np.multiply(out=), np.divide(out=))
36. Extract the integer part of a random array using 5 different methods (★★☆)
(hint: %, np.floor, np.ceil, astype, np.trunc)
37. Create a 5x5 matrix with row values ranging from 0 to 4 (★★☆)
(hint: np.arange)
38. Consider a generator function that generates 10 integers and use it to build an array (★☆☆)
(hint: np.fromiter)
39. Create a vector of size 10 with values ranging from 0 to 1, both excluded (★★☆)
(hint: np.linspace)
40. Create a random vector of size 10 and sort it (★★☆)
(hint: sort)
41. How to sum a small array faster than np.sum? (★★☆)
(hint: np.add.reduce)
42. Consider two random array A and B, check if they are equal (★★☆)
(hint: np.allclose, np.array_equal)
43. Make an array immutable (read-only) (★★☆)
(hint: flags.writeable)
44. Consider a random 10x2 matrix representing cartesian coordinates, convert them to polar coordinates (★★☆)
(hint: np.sqrt, np.arctan2)
45. Create random vector of size 10 and replace the maximum value by 0 (★★☆)
(hint: argmax)
46. Create a structured array with x and y coordinates covering the [0,1]x[0,1] area (★★☆)
(hint: np.meshgrid)
47. Given two arrays, X and Y, construct the Cauchy matrix C (Cij =1/(xi - yj))
(hint: np.subtract.outer)
48. Print the minimum and maximum representable value for each numpy scalar type (★★☆)
(hint: np.iinfo, np.finfo, eps)
49. How to print all the values of an array? (★★☆)
(hint: np.set_printoptions)
50. How to find the closest value (to a given scalar) in a vector? (★★☆)
(hint: argmin)
51. Create a structured array representing a position (x,y) and a color (r,g,b) (★★☆)
(hint: dtype)
52. Consider a random vector with shape (100,2) representing coordinates, find point by point distances (★★☆)
(hint: np.atleast_2d, T, np.sqrt)
53. How to convert a float (32 bits) array into an integer (32 bits) in place?
(hint: astype(copy=False))
54. How to read the following file? (★★☆)
(hint: np.genfromtxt)
11, 2, 3, 4, 5
26, , , 7, 8
3 , , 9,10,11
55. What is the equivalent of enumerate for numpy arrays? (★★☆)
(hint: np.ndenumerate, np.ndindex)
56. Generate a generic 2D Gaussian-like array (★★☆)
(hint: np.meshgrid, np.exp)
57. How to randomly place p elements in a 2D array? (★★☆)
(hint: np.put, np.random.choice)
58. Subtract the mean of each row of a matrix (★★☆)
(hint: mean(axis=,keepdims=))
59. How to sort an array by the nth column? (★★☆)
(hint: argsort)
60. How to tell if a given 2D array has null columns? (★★☆)
(hint: any, ~)
61. Find the nearest value from a given value in an array (★★☆)
(hint: np.abs, argmin, flat)
62. Considering two arrays with shape (1,3) and (3,1), how to compute their sum using an iterator? (★★☆)
(hint: np.nditer)
63. Create an array class that has a name attribute (★★☆)
(hint: class method)
64. Consider a given vector, how to add 1 to each element indexed by a second vector (be careful with repeated indices)? (★★★)
(hint: np.bincount | np.add.at)
65. How to accumulate elements of a vector (X) to an array (F) based on an index list (I)? (★★★)
(hint: np.bincount)
66. Considering a (w,h,3) image of (dtype=ubyte), compute the number of unique colors (★★★)
(hint: np.unique)
67. Considering a four dimensions array, how to get sum over the last two axis at once? (★★★)
(hint: sum(axis=(-2,-1)))
68. Considering a one-dimensional vector D, how to compute means of subsets of D using a vector S of same size describing subset indices? (★★★)
(hint: np.bincount)
69. How to get the diagonal of a dot product? (★★★)
(hint: np.diag)
70. Consider the vector [1, 2, 3, 4, 5], how to build a new vector with 3 consecutive zeros interleaved between each value? (★★★)
(hint: array[::4])
71. Consider an array of dimension (5,5,3), how to mulitply it by an array with dimensions (5,5)? (★★★)
(hint: array[:, :, None])
72. How to swap two rows of an array? (★★★)
(hint: array[[]] = array[[]])
73. Consider a set of 10 triplets describing 10 triangles (with shared vertices), find the set of unique line segments composing all the triangles (★★★)
(hint: repeat, np.roll, np.sort, view, np.unique)
74. Given an array C that is a bincount, how to produce an array A such that np.bincount(A) == C? (★★★)
(hint: np.repeat)
75. How to compute averages using a sliding window over an array? (★★★)
(hint: np.cumsum)
76. Consider a one-dimensional array Z, build a two-dimensional array whose first row is (Z[0],Z[1],Z[2]) and each subsequent row is shifted by 1 (last row should be (Z[-3],Z[-2],Z[-1]) (★★★)
(hint: from numpy.lib import stride_tricks)
77. How to negate a boolean, or to change the sign of a float inplace? (★★★)
(hint: np.logical_not, np.negative)
78. Consider 2 sets of points P0,P1 describing lines (2d) and a point p, how to compute distance from p to each line i (P0[i],P1[i])? (★★★)
79. Consider 2 sets of points P0,P1 describing lines (2d) and a set of points P, how to compute distance from each point j (P[j]) to each line i (P0[i],P1[i])? (★★★)
80. Consider an arbitrary array, write a function that extract a subpart with a fixed shape and centered on a given element (pad with a fill value when necessary) (★★★)
(hint: minimum, maximum)
81. Consider an array Z = [1,2,3,4,5,6,7,8,9,10,11,12,13,14], how to generate an array R = [[1,2,3,4], [2,3,4,5], [3,4,5,6], ..., [11,12,13,14]]? (★★★)
(hint: stride_tricks.as_strided)
82. Compute a matrix rank (★★★)
(hint: np.linalg.svd) (suggestion: np.linalg.svd)
83. How to find the most frequent value in an array?
(hint: np.bincount, argmax)
84. Extract all the contiguous 3x3 blocks from a random 10x10 matrix (★★★)
(hint: stride_tricks.as_strided)
85. Create a 2D array subclass such that Z[i,j] == Z[j,i] (★★★)
(hint: class method)
86. Consider a set of p matrices wich shape (n,n) and a set of p vectors with shape (n,1). How to compute the sum of of the p matrix products at once? (result has shape (n,1)) (★★★)
(hint: np.tensordot)
87. Consider a 16x16 array, how to get the block-sum (block size is 4x4)? (★★★)
(hint: np.add.reduceat)
88. How to implement the Game of Life using numpy arrays? (★★★)
89. How to get the n largest values of an array (★★★)
(hint: np.argsort | np.argpartition)
90. Given an arbitrary number of vectors, build the cartesian product (every combinations of every item) (★★★)
(hint: np.indices)
91. How to create a record array from a regular array? (★★★)
(hint: np.core.records.fromarrays)
92. Consider a large vector Z, compute Z to the power of 3 using 3 different methods (★★★)
(hint: np.power, *, np.einsum)
93. Consider two arrays A and B of shape (8,3) and (2,2). How to find rows of A that contain elements of each row of B regardless of the order of the elements in B? (★★★)
(hint: np.where)
94. Considering a 10x3 matrix, extract rows with unequal values (e.g. [2,2,3]) (★★★)
95. Convert a vector of ints into a matrix binary representation (★★★)
(hint: np.unpackbits)
96. Given a two dimensional array, how to extract unique rows? (★★★)
(hint: np.ascontiguousarray | np.unique)
97. Considering 2 vectors A & B, write the einsum equivalent of inner, outer, sum, and mul function (★★★)
(hint: np.einsum)
98. Considering a path described by two vectors (X,Y), how to sample it using equidistant samples (★★★)?
(hint: np.cumsum, np.interp)
99. Given an integer n and a 2D array X, select from X the rows which can be interpreted as draws from a multinomial distribution with n degrees, i.e., the rows which only contain integers and which sum to n. (★★★)
(hint: np.logical_and.reduce, np.mod)
100. Compute bootstrapped 95% confidence intervals for the mean of a 1D array X (i.e., resample the elements of an array with replacement N times, compute the mean of each sample, and then compute percentiles over the means). (★★★)
(hint: np.percentile)