Problem Solving Worksheets With Answer Key - Math Stars Page 7
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39Vol. 7 No. 2
About these newsletters...
The purpose of the MathStars Newsletters is to challenge students beyond the classroom
setting. Good problems can inspire curiosity about number relationships and geometric
properties. It is hoped that in accepting the challenge of mathematical problem solving,
students, their parents, and their teachers will be led to explore new mathematical
horizons.
As with all good problems, the solutions and strategies suggested are merely a sample of
what you and your students may discover. Enjoy!!
Discussion of the problems...
1. (90) K x L x M x N = (K x L) x (M x N) = 6 x 15 = 90
2. (11) The students taking more than one course number 1 + 2 + 3 + 6 =12 but one student takes all
three courses so 11 take two.
(32) The jazz band has 20 students; (A + 10) students are in the marching band. If the marching
band has 22 more students than thejazz band, then (A + 10) = 22 + 20 or A = 32.
3. (April 10)
4. (A = 1, B = 1, D = 2, E = 0) Calculating, 10 x 10 = 100 and 11 x 11 = 121.
5. (146) The first average was their total (T) divided by 6 or 148 = T ÷ 6. The total then was 6 x 148
or 888. Adding Neil's score or 134 + 888 = 1022. Computing, the new average then becomes 1022 ÷ 7
or 146.
6. (bag B) Only two bags, B and C, have a greater probability of drawing blue than red. For bag B,
P(blue) = 5/8 or 0.625; for bag C, P(blue) = 8/15 or 0.533.
7. ($5520) The commission is computed as 60% of 4% of $230,000 or
0.60 x (0.04 x 230,000) = 0.60 x (9200) = 5520.
8. (six hours) Three pickers harvest 30 gallons in four hours or each picker harvests 10 gallons in four
hours. Ten gallons in four hours translates to 2.5 gallons each hour per picker. At this rate five pickers
will harvest 12.5 gallons each hour. 75 ÷ 12.5 = 6, or six hours are needed by five pickers to harvest
75 gallons of berries.
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