Problem Of The Week

Problem of the Week - 15

March 28, 2019

A 6-digit perfect square is coded as AABCAB, with each letter stands for a digit. This can be sliced into two parts AAB and CAB, which are themselves perfect squares. The numbers, represented by AB and ABC are also perfect squares. What are A, B and C?

Problem of the Week - 14

February 27, 2019

How many integers between 1000 and 9999 have four distinct digits? - AMC 8 2015

Problem of the Week - 13

February 13, 2019

Matthew had 740 stickers and he was able to give them away equally among his classmates. His class had between 30 to 40 pupils. How many more stickers would Matthew need if he wanted to give each classmate 25 stickers instead?

- ISMC (International Singapore Maths Competition) Grade 5

Problem of the Week - 12

January 21, 2019

An old woman goes to market and a horse steps on her basket and crashes the eggs. The rider offers to pay for the damages and asks her how many eggs she had brought. She does not remember the exact number, but when she had taken them out two at a time, there was one egg left. The same happened when she picked them out three, four, five, and six at a time, but when she took them seven at a time they came out even. What is the smallest number of eggs she could have had?

- posed by Brahmagupta (born 598 AD)

Problem of the Week - 11

September 27, 2018

Amanda arranges the digits 1, 3, 5, and 7 to write a four-digit number. The 7 is next to the 1 but not to the 5. The 3 is next to the 7 but not to the 5. The four-digit number is divisible by 5. What is Amanda’s four-digit number?

Source: MOEMS

Problem of the Week - 10

August 16, 2018

What is the largest multiple of 12 that can be written using each digit 0, 1, 2, 3,........,9 exactly once?

SOURCE: Math Counts

Problem of the Week - 9

June 30, 2018

Five points, A, B, C, D, and E, in that order, lie along a circular path. An ant travels around the path, beginning at A, moving on to B, then C, and so on through E, then back around, in alphabetical order. What is the 28th letter it touches?  Source - MOEMS

Problem of the Week - 8

April 28, 2018

   2BA
+ C6D
   8AD

Find out A, B, C and D

Problem of the Week - 7

April 14, 2018

The numbers 541A3, 541B3, and 541C3 are all different multiples of 3. The letters A, B, and C represent digits within the numbers. What is the product A × B × C?

Source: MOEMS

Problem of the Week - 6

March 31, 2018

How many 2-digit odd numbers are greater than 30?

Source: MOEMS

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