2000_Questions_Grades 3-4-2000_Questions_Levels

2000_Questions_Levels_3&4

Pdf Summary

Math Kangaroo is a mathematics competition that presents various challenging problems for different levels. The 2000 Math Kangaroo for Levels 3-4 features problems ranging from 3 to 5 points. Here is a summary of the competition's problems and solutions for this level:<br /><br />1. **Candle Problem**: 10 candles lit simultaneously burn for 15 minutes (Answer: B).<br /><br />2. **Pill Taking**: With pills taken every 20 minutes, the last pill is taken 40 minutes after the first (Answer: C).<br /><br />3. **Digits Product vs Sum**: For number 312, the product (6) is greater than the sum (6) (Answer: C).<br /><br />4. **Stairs**: Gawel’s friend, walking twice as many stairs, lives on the 4th floor if Gawel is on the 2nd (Answer: C).<br /><br />5. **Candy Bars and Lollipops**: If 4 candy bars cost $3.60, the remaining $0.90 divided by 3 lollipops is $0.30 each (Answer: B).<br /><br />6. **Bus Seating**: 160 people need at least 3 buses with a capacity of 55 (Answer: C).<br /><br />7. **Walking Time**: Walking time quadruples when the plaza's area is quadrupled (Answer: A).<br /><br />8. **Travel to Airport**: Arriving at 11:30, the latest bus must leave at 9:30 to cover a 120 km trip at 60 km/hr (Answer: C).<br /><br />For 4-point problems, highlights include determining shared ice cream consumption (Kasia eats 4 bowls, Answer: B) and finding the smallest number by removing four digits (Answer: E).<br /><br />Finally, 5-point problems include identifying that Marysia was gone for 6.5 hours based on clock hand positions (Answer: D) and solving that the youngest kangaroo is 4 years old (Answer: D).<br /><br />These problems test logical reasoning and mathematical skills through scenarios involving everyday mathematics, puzzles, and logical deductions.

Keywords

Math Kangaroo

mathematics competition

Levels 3-4

problem-solving

logical reasoning

everyday mathematics

puzzles

solutions

mathematical skills

2000