January 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. $760

2. All 25 odd numbers occur between 1 and 50.
5 odd numbers occur within each decade.
The sum of the ones column per decade is 25.
(5x25)+(5x0)+(5x10)+(5x20)+(5x30)+(5x40) = 625
[For evens: apply the same equation, substituting '30' for '25']
(5x30)+(5x0)+(5x10)+(5x20)+(5x30)+(5x40) = 650

3. 5 weeks

4. Discount City; $126

5. Current car = $583.33 and new car = $466.66

Measurement

6. Check drawings

7. 680 feet of fencing

8. 518.4 gallons; 44 times

Geometry

9.

10. H, I, O
A
W

Patterns, Algebra, And Functions

12. 8 cookies

13. Khalil started out quickly, stopped for a while, walked slowly, and hurried at the end.

14. Ellie--500-15x
Tanya--200 + 12 x
x = number of weeks
At week 11 they will be $3 apart.

15. Answers will vary.

Data, Statistics, And Probability

16. Possible answers are box and whisker, stem and leaf, histogram, line plot, cumulative frequency chart.

17. Check graphs for title, scale, labels, and accuracy.
Sales of albums decreased and sale of CD's increased.

HOW DID YOU DO?

January Problems

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