tmscans.py

import random, itertools
from fractions import Fraction

#Squares

a = range(1, 26) + range(20, 26)
random.shuffle(a)
print('\n'.join(map(lambda x: str(x).rjust(2) + '² = ' + '_' * 15, a)))

#Cubes

a = range(1, 13) + range(10, 13)
random.shuffle(a)
print('\n'.join(map(lambda x: str(x).rjust(2) + '³ = ' + '_' * 15, a)))

#Figurate Numbers

numtypes = 'triangular square cube pentagonal octagonal hexagonal heptagonal'.split()
a = list(itertools.chain(*[['%s %s number = ________________' % (ordinal(random.choice(range(1, 10))), numtype) for i in range(1, 5)] for numtype in numtypes]))
random.shuffle(a)
print('\n'.join(map(lambda x: x.rjust(max(map(len, a))), a)))

def ordinal(value):
    if value % 100//10 != 1:
        if value % 10 == 1:
            ordval = u"%d%s" % (value, "st")
        elif value % 10 == 2:
            ordval = u"%d%s" % (value, "nd")
        elif value % 10 == 3:
            ordval = u"%d%s" % (value, "rd")
        else:
            ordval = u"%d%s" % (value, "th")
    else:
        ordval = u"%d%s" % (value, "th")

    return ordval

# Common Decimals/Fractions/Percentages

nums = map(Fraction, '1/2 1/3 2/3 1/5 2/5 3/5 4/5 1/6 2/6 3/6 4/6 5/6 1/8 3/8 5/8 7/8 1/9 2/9 4/9 5/9 7/9 8/9 1/10 1/12 1/16 1/32'.split())
random.shuffle(nums)
print('\n'.join([(('%s as a' % num) + (' decimal '  if float(num) * 1000000 % 1 == 0 else ' percent ')).rjust(18) + '_' * 15 for num in nums]))

# Roman Numerals <-> Arabic Numerals

print('\n'.join([str(int_to_roman(random.choice(range(1000, 3000)))).rjust(13) + ' = ' + '_' * 15 for i in range(1, 25)]))
print('\n'.join([str(random.choice(range(1, 3000))).rjust(4) + ' = ' + '_' * 15 for i in range(1, 30)]))
    
numeral_map = tuple(zip(
    (1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1),
    ('M', 'CM', 'D', 'CD', 'C', 'XC', 'L', 'XL', 'X', 'IX', 'V', 'IV', 'I')
))

def int_to_roman(i):
    result = []
    for integer, numeral in numeral_map:
        count = i // integer
        result.append(numeral * count)
        i -= integer * count
    return ''.join(result)

def roman_to_int(n):
    i = result = 0
    for integer, numeral in numeral_map:
        while n[i:i + len(numeral)] == numeral:
            result += integer
            i += len(numeral)
    return result
    
# Consecutive Integer Sums

evens = map(lambda x: (('2 + 4 + 6 + ... + %s = ' % x) + '_' * 15).rjust(44), [random.choice(range(10, 30, 2)) for i in range(0, 7)])
odds = map(lambda x: (('1 + 3 + 5 + ... + %s = ' % x) + '_' * 15).rjust(44), [random.choice(range(9, 30, 2)) for i in range(0, 7)])
consecs = map(lambda x: (('1 + 2 + 3 + ... + %s = ' % x) + '_' * 15).rjust(44), [random.choice(range(5, 30, 2)) for i in range(0, 7)])
squares = map(lambda x: (('1² + 2² + 3² + ... + %s² = ' % x) + '_' * 15).rjust(44), [random.choice(range(5, 15, 2)) for i in range(0, 4)])
cubes = map(lambda x: (('1³ + 2³ + 3³ + ... + %s³ = ' % x) + '_' * 15).rjust(44), [random.choice(range(5, 10, 2)) for i in range(0, 4)])
sums = evens + odds + consecs + squares + cubes
random.shuffle(sums)
print('\n'.join(sums))

# Ending in 5 Multiplication

print('\n'.join(map(lambda x: ('%s5 × %s5 = ' % x) + '_' * 15, [(random.choice(range(2, 10)), random.choice(range(2, 10))) for i in range(0, 30)])))

# Multiplying Numbers in the 90s/990s

n90s = map(lambda x: ('  9%s × 9%s = ' % x) + '_' * 15, [(random.choice(range(1, 10)), random.choice(range(1, 10))) for i in range(0, 15)])
n990s = map(lambda x: ('99%s × 99%s = ' % x) + '_' * 15, [(random.choice(range(1, 10)), random.choice(range(1, 10))) for i in range(0, 15)])
q = n90s + n990s
random.shuffle(q)
print('\n'.join(q))

# Reciprocal Work

plus = map(lambda x: ('1/%s + 1/%s = 1/X ' % x) + '_' * 15, [(random.choice(range(2, 10)), random.choice(range(2, 10))) for i in range(0, 15)])
minus = map(lambda x: ('1/%s - 1/%s = 1/X ' % (x, random.choice(range(x, 10)))) + '_' * 15, [random.choice(range(2, 10)) for i in range(0, 15)])
q = plus + minus
random.shuffle(q)
print('\n'.join(q))

# Subsets/Proper Subsets/Improper Subsets

words = [set('a'), set('an'), set('cat'), set('duck'), set('cobra'), set('badger'), set('dolphin')]
types = 'subsets_improper subsets_proper subsets'.split('_')

q = list(itertools.chain(*list(map(lambda x: map(lambda y: ('%s %s = ' % (y, x)).rjust(55) + '_' * 15, types), words))))
random.shuffle(q)
print('\n'.join(q))