2025_Solutions_Grades 7-8-2025Solutions78edAOG041425

2025Solutions78edAOG041425
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The Math Kangaroo USA document provides solution suggestions for the exam held on March 20, 2025, specifically targeting Grades 7 and 8. It comprises a series of math problems followed by detailed solutions.

1. <strong>Problem 1</strong>: Arranging digits 2, 0, 2, 5 to create the largest number gives 5220.

2. <strong>Problem 2</strong>: A triangle moving clockwise over six hexagon spaces returns to its start position after 12 rotations because 12 is the smallest multiple of 6 in the options.

3. <strong>Problem 3</strong>: No different numbers can sum to 13 if one die shows a 6, making ‘impossible’ the correct answer.

4. <strong>Problem 4</strong>: With 12 shaded triangles out of 36, the answer is the fraction 1/3.

5. <strong>Problem 5</strong>: Calculating 60 minutes times 21 provides 1260 minutes.

6. <strong>Problem 6</strong>: Finding future ages of Dominic and Daniel results in a sum of ages of 30.

7. <strong>Problem 7</strong>: Forming a minimum result from given digits by filling out subtraction boxes prudently results in -52, which simplifies to 5.

8. <strong>Problem 8</strong>: With everyone answering “yes” when asked if they are truth-tellers, 15 are truth-tellers and 5 are liars.

9. <strong>Problem 9</strong>: Calculating areas covered by circles with overlaps gives 36 cm².

10. <strong>Problem 10</strong>: Adjusting the numbers in the combination based on the described shifting formula results in 4037.

11. <strong>Problem 11</strong>: Calculating possible paths to reach a certain grid cell results in 8.

12. <strong>Problem 12</strong>: Determining distances between hurdles and the finish line results in a 16m distance.

13. <strong>Problem 13</strong>: Logical deduction of circle numbers solves the equation as 3.

14. <strong>Problem 14</strong>: Solving angles within a quadrilateral sums to 70.

15. <strong>Problem 15</strong>: Total session time division results in 18:15.

16. <strong>Problem 16</strong>: Calculating sums of selected primes gives the solution 10.

17. <strong>Problem 17</strong>: A visual sequencing puzzle results in recognizing configurations over steps.

18. <strong>Problem 18</strong>: Solving rectangle surface area results in finding a 10 cm dimension.

19. <strong>Problem 19</strong>: Average calculations in bowls necessitate certain values, leading to a product of 6.

20. <strong>Problem 20</strong>: A geometric problem involving birds on wires results in counting 27 birds.

The document aims at fostering problem-solving skills, critical thinking, and mathematical reasoning typical for middle school math contests like Math Kangaroo.
Keywords
Math Kangaroo USA
Grades 7 and 8
math problems
detailed solutions
problem-solving skills
critical thinking
mathematical reasoning
middle school
math contest
exam solutions