2015_Solutions_Grades 5-6-2015_Solutions_Levels

2015_Solutions_Levels_5&6

Pdf Summary

The document provides solutions to the Math Kangaroo 2015 competition problems, detailing the step-by-step answers for each question. Here's a brief overview of the solutions:<br /><br />1. Only figure (B) has half of its area shaded.<br />2. By rotating umbrellas, only certain ones fit the pattern.<br />3. To ensure different-colored adjacent squares, two squares need repainting.<br />4. Calculation shows that 10 ducks lay 75 eggs in 10 days.<br />5. The length of a thick black line on small squares is 18 cm.<br />6. Among several fractions, 23/12 is the only one smaller than 2.<br />7. Two pumpkins weigh 10 kg, so one pumpkin weighs 5 kg.<br />8. To get 6 flowers and 32 leaves, a total of 10 plants are needed.<br />9. The overlap in glued strips is 4 cm.<br />10. The calculated perimeter of a given shape is 12.<br />11. The date allowing the largest sum of its digits is September 29, giving a sum of 20.<br />12. With equal rectangles, the total width of specific sides is 2 cm.<br />13. Diagrams can be folded into a pyramid. <br />14. Lucy and her mother’s ages plus their birth years add up to 4030.<br />15. The remainder when dividing by 9 gives 5.<br />16. The perimeter of a rectangle with specific dimensions is 26.<br />17. From given colors, only red is required for a triangle's side.<br />18. To ensure at least one same-colored apple and pear, Simon picks 13 pieces.<br />19. Kangaroo can move to the destination in 3 moves.<br />20. For numbers approaching a total, math operations determine a 6. <br />21. Given conditions, the largest of four numbers is 16.<br />22. Calculating leftover money reveals Jane spent 34 dollars on books.<br />23. Maximum residents in a set of houses total 29.<br />24. Completing operations starting with multiplication, we derive 67.<br />25. The largest numerically ordered 4-digit number found is 61.<br />26. Numbered vertices and faces solve to 22.<br />27. It's determined that 8 compartments are in a coach.<br />28. All combinations shown account for a total of 10 outcomes.<br />29. Calculating distances between points finds a maximum of 9.<br />30. Color coordination across cube faces results in 24 bicolor cubes. <br /><br />Overall, this is an extensive guide to solving specific math problems, using logical deductions and arithmetic calculations.

Keywords

Math Kangaroo 2015

competition solutions

step-by-step answers

arithmetic calculations

logical deductions

geometry problems

fractions comparison

perimeter calculations

color coordination

problem solving