Standard One – Top Level Problems
Prompt: Multiplying 4 times 2178 gives an answer that is the reverse of 2178;
4  2178  8712 . Find the four-digit number that when multiplied by 9 does the same
thing.
Answer: 1089
Mathematics Teacher February 1992 V85 N2
Prompt:
482:34
a.
b.
c.
d.
e.
Which two numbers below have the same relationship as the first pair?
218:24
946:42
687:62
299:26
749:67
Answer: b…9*4+6=42 (answers may vary)
The Amazing 1000 Puzzle Challenge, Carlton Books
Prompt: Two numbers have a product of 19,551 and a sum of 280. Without
determining the numbers, find their positive difference.
Answer: 14
Mathematics Teacher May 2000 V93 N5
Prompt: A proper fraction is one which the numerator is less than the denominator.
Determine the sum of all positive proper fractions (reduced and not reduced) whose
denominators are less than or equal to 100. As an example, if you replace 100 by 4 the
answer is:
1 1 2 1 2 3
     3
2 3 3 4 4 4
Grassl and Mingus. "Problem Solving: Exploring paths less Travled." 2005: 77-99.
Prompt: Demonstrate that the cube root of 10 21  5  1014  9  10 7  1 is not an integer.
Grassl and Mingus. "Problem Solving: Exploring paths less Travled." 2005: 77-99.