November Solutions

Number Theory | Measurement | Geometry |
Patterns, Algebra, and Functions | Data, Statistics, and Probability |

Remember: These are open-ended problems. There could be other solutions than the ones we are giving.

Number Theory

1. Accept any sensible answer.

2. Many answers. Sample--3 bills, 1 gold dollar, 1 half dollar, 2 quarters, 1 dime, 2 nickels, 4 pennies.

3. 28 bags of each

4. 4 small and 8 large mugs

5. Whiteout = $1.74/oz
Nyquil = $1.39/oz.
Pepto Bismol = $.96/oz.
Scope = $.66/oz.
Evian = $.17/oz.
Ocean Spray = $.08/oz.
Snapple = $.084/oz.
Gatorade = $.079/oz.
Iced Tea = $.07/oz.
Gas = $.01/oz.

Measurement

6. 90 tons

7. 4 1/2 feet

8. Number 3 is the best choice.

Geometry

9. Answers will vary.

10. Octagonal Prism; 16 balls of clay.

11. Cube = 3
Trianglular Prism = 4
Hexagonal prism = 3
Octangular Prism = 3
Pentagonal Prism = 4
No, even number of sides requires 2 colors for sides and base is 3rd color.

Patterns, Algebra, And Functions

12. 15 games

13. 4 x 5; 5 x 6; 6 x 7; 7 x 8; 8 x 9
10th = 110 dots

14. 48 heads each day.

Data, Statistics, And Probability

15. Possible answers could include a circle graph, bar graph, tally, and cumulative frequency chart.

16. Check graphs for scale, title, accuracy, and labels.

17. The probability of getting $.41 is 1/4. As long as there is the same number of each coin in the bag, the probability stays the same because there is only one way to get $.41 using 4 different coins--1 quarter, 1 dime, 1 nickel, 1 penny.

HOW DID YOU DO?

November Problems

Back to Open-Ended Math Index