You may also like

problem icon

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

problem icon

14 Divisors

What is the smallest number with exactly 14 divisors?

problem icon

Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

Inscribed Hexagon

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

As the sum of the angles in a triangle is 180° and all four angles in a rectangle are 90°, then sum of the two marked angles in the triangle 180° - 90° = 90°.
Each interior angle of a regular hexagon is 120° and the sum of the angles in a quadrilateral is 360°; hence the sum of the two marked angles in the quadrilateral is 360° - 90° - (360° - 120°) = 30°.
Hence the sum of the four marked angles is 90° + 30° = 120°.


This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem