Problem of the Day
Daily maths problems posted on social media. Enter a problem number to read the statement and reveal the solution.
Problems are numbered sequentially — if you saw "Problem #10" or "Problem of the Day 10" on Instagram, enter 10.
Recent problems
Do there exist irrational numbers a and b such that a raised to the power b (aᵇ) is a rational number?
George hid the middle of this sequence: 1000 1 ? ? 50 2.718. But Cicero mentioned that the same number is missing twice. What is t…
P, Q, R, S and T are the digits 1, 2, 3, 4 and 5 in some order. ‘PRT’ and ‘QRS’ are both three-digit primes. Which digit is R?
The hikers can proceed as follows: The 45 kg and 50 kg hikers cross the river together. The 45 kg hiker returns with the boat. The…
Alex is climbing a staircase with 10 steps. With each move, he can go up either 1 step or 2 steps. In how many different ways can …
Is it possible to cut an 8×8 square without two diagonally opposite corners into 1×2 rectangles?
Write down a random two-digit number. What is the probability that the sum of its digits is equal to 5?
Remove 5 matchsticks to get 3 squares. Make sure that once you remove the matchsticks, there are no dangling ones remaining.
Divide the figure below into four equal parts.
Some of the digits in the following correct addition have been replaced by the letters P, Q, R, and S, as shown. What is the value…
My 24-hour digital clock displays hours and minutes only. How many displayed times in a 24-hour period contain at least one occurr…
Find all prime numbers p for which the number p2+11 has exactly 6 different divisors (including 1 and the number itself).