1998_Questions_Grades 7-8-1998_Questions_Levels

1998_Questions_Levels_7&8

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The Math Kangaroo 1998 Level 7-8 competition featured a series of mathematics problems with varying point values. Problems were divided into categories based on their difficulty, with problems worth 3, 4, and 5 points each. <br /><br />In the 3-point category, competitors faced questions such as determining the least number of pieces needed to form the word "KANGOUROU," identifying which puzzle pieces had the same area, and forming a number with specified conditions using card digits. A geometric problem involving a folded triangle and queries about reflections in a mirror, circle divisions, and day-of-week calculations for January 1 were also included. Geometry questions dealt with finding angles based on given conditions.<br /><br />The 4-point problems introduced concepts like mixing fruit juices to determine resulting sugar content, bisectors of triangle angles, group formation without couples from pairs, and prime number calculations. One problem required participants to solve for the tangential circle's radius, while another scrutinized an algebraic reasoning sequence for errors.<br /><br />In the highest tier of difficulty, 5-point problems featured tasks such as counting palindromes within a numerical range and calculating the minimum number of cubes needed to fill a box. This section also involved geometric problems including determining lengths and areas in modified shapes or structures. Participants calculated feasible line divisions to split a paper into pieces, selected numbers from a set under divisibility rules, and determined soap usage duration based on shrinkage. Other complex challenges involved algorithmic elimination in a counting circle and solving an algebraic equation under specific conditions.<br /><br />The Math Kangaroo competition aimed to test problem-solving and logical reasoning skills across a wide array of mathematical concepts, challenging participants through creative and complex scenarios.

Keywords

Math Kangaroo

1998 competition

mathematics problems

problem-solving

logical reasoning

geometric problems

algebraic reasoning

prime numbers

palindromes

divisibility rules