... 8. If ABCD and KLFC are two squares so that B, K and L are collinear. Points M and P are on AC, points N and Q are on BD so that MNPQ is also a square, as shown in the figure below. If MN = BK and area of quadrilateral ...
... On the second day, the youngest brother divided all the remaining candies into five equal parts with one remaining candy, and then this youngest brother took two parts.. On the third d[r] ...
... What is the minimum number of police squads so that every square not occupied by a police squad must share a side with a square occupied by a police squad. ANSWER: police squads.[r] ...
... In this case, there are 3 ways to choose the column to colour the 2 squares, and 2 ways to choose which one gets the other coloured square. Then there are 3 ways to choose which row th[r] ...
... The sum of all the numbers above the main diagonal (diagonal from the top-left cell to the bottom-right cell) is equal to three times the sum of all the numbers below the main diagonal[r] ...
... Form edges along the dotted lines to create shapes so that each circle is the symmetry center (each shape when rotated 180 degrees along the circle, the shape appears identical) of the[r] ...
... Deduced that the numbers on the diagonal should all be 11 and arrived with the correct answer, or correct answer only (without any explanation), 5 marks. In the figure below, ABCD is [r] ...
... Each correct figure, 10 marks. 10 marks bonus for all 3 correct figures. 6. There are three 3-digit numbers ABC , BCD and CDE , where each different letter represents a different digit, so that ABC + BCD + CDE = ...
... What is the minimum number of weightings needed to find the fake marble and determine whether the fake marble is heavier or lighter than the real marble. Explain your answer.[r] ...
... 7. Anna tosses 2016 coins and Boris tosses 2017 coins. Whoever has more heads wins. If they have the same number of heads, then Anna wins. What is the probability of Anna winning? 8. In triangle ABC, AC = BC. D is ...
... At the end of the contest, you must hand in the envelope containing the question paper, your answer sheet and all scratch papers... Each weighs an integral numbers of kilograms?[r] ...
... If (1) occurs, then Anna wins, and if (2) occurs, then Boris wins, regardless of the outcome of Boris’ last toss.. If (3) occurs, then the winner will be decided by the outcome of Bori[r] ...
... In the 4 by 4 square shown, I am filling in the 16 small squares with the numbers 1, 2, 3 and 4 so that each row and each column has one of each of these numbers... I have a rectangular [r] ...
... The four lines from the top vertex divide the triangle into five narrow triangles with same area. The three lines parallel to the base divide the triangle into four horizontal strips[r] ...