MathDB

A1

Part of 2018 Malaysia National Olympiad

Problems(3)

OMK 2018 Sulong, Section A Problem 1

Source: OMK 2018 Sulong, Section A Problem 1

6/21/2021
A cuboid has an integer volume. Three of the faces have different areas, namely 7,277, 27, and LL. What is the smallest possible integer value for LL?
geometry
min side of equilateral, creating hexagon 2018 Malaysia OMK Intermediate A1

Source:

9/19/2021
Hassan has a piece of paper in the shape of a hexagon. The interior angles are all 120o120^o, and the side lengths are 11, 22, 33, 44, 55, 66, although not in that order. Initially, the paper is in the shape of an equilateral triangle, then Hassan has cut off three smaller equilateral triangle shapes, one at each corner of the paper. What is the minimum possible side length of the original triangle?
geometryhexagonEquilateral
area of ABCD with integer sidelengths wanted 2018 Malaysia OMK Juniors A1

Source:

9/19/2021
Quadrilateral ABCDABCD is neither a kite nor a rectangle. It is known that its sidelengths are integers, AB=6AB = 6, BC=7BC = 7, and ∠B=∠D=90o\angle B = \angle D = 90^o. Find the area ofABCD ABCD.
geometryarea