2021_Solutions_Grades 7-8-2021_Solutions_Levels

2021_Solutions_Levels_7&8

Pdf Summary

The Math Kangaroo 2021 solution suggestions for levels 7 and 8 provide detailed problem-solving steps and correct answers for 30 questions. Here's a summarized overview of selected problems:<br /><br />1. **Question 1** involves symmetry, with the solution identifying the axis for the Sagittarius symbol.<br /><br />2. **Question 2** is about calculating the shaded area of a disk, rotating sections to determine a shaded proportion of 50%.<br /><br />3. **Question 3** calculates a mathematical expression to arrive at 84.<br /><br />4. **Question 4** identifies sequences of four-digit numbers, resulting in 6 numbers that fit the criteria.<br /><br />5. **Question 5** is a geometry question requiring piece arrangement to find a calculated answer of -100.<br /><br />6. **Question 6** discusses the filling levels of vases based on symmetry, determining interactions with a mid-plane.<br /><br />7. **Question 10** looks into relative height comparisons leading to a specific height differential conclusion.<br /><br />8. **Question 11** involves chocolate bar partitioning to compute remaining squares.<br /><br />9. **Question 17** involves uncovering missed quiz points, solving equations to conclude the number of incorrect answers left blank.<br /><br />10. **Question 19** examines fruit distribution logic to determine equivalency between categories of fruits taken by different parties.<br /><br />11. **Question 21** involves calculating the shortest path distance, identifying it as 3 km.<br /><br />12. **Question 27** calculates the number of cubes a termite passes through using axis alignment.<br /><br />13. **Question 29** comprehensively answers round scheduling for a series of matches, leveraging logical constraints on player availability.<br /><br />The solutions utilize various mathematical fields including geometry, symmetry, arithmetic, and logical reasoning to derive answers, providing a comprehensive guide for students to understand complex mathematical concepts.

Keywords

Math Kangaroo 2021

solution suggestions

symmetry

geometry

problem-solving

mathematical expression

sequences

logical reasoning

arithmetic

student guide