PROBLEM SOLVING #2
MATH 304 -- MIDDLE SCHOOL MATHEMATICS
PROBLEM SOLVING #2
2. Write the decimal number (i.e., base 10) which has the value of 0.33five .
3. In a group of 130 students, 74 attend music class and 83 attend art
class. At least how many attend
both art & music?
4. A goldfish needs 0.43 cubic ft. of living space. How many fish can be
safely put into an aquarium having dimensions 1.5 ft. by 2 ft. by 3 ft. ?
5. During one week, Sara sold a number of records for a total sales of
$59.41 . The next week, her week's total sales were $109.68. If each
record sold for the same amount (more than $1), how many records did she
sell each week?
6. If 8 workers can pick 60 boxes of berries in 9 minutes, how many minutes
will it take 6 workers to pick 75 boxes, assuming they all pick at the same
rate?
7. In writing the natural numbers from 1 to 1000, how many numbers will
contain the digit "7" AT LEAST ONCE?
8. Find the smallest natural number greater than 1 such that when divided
by 2 , 3 , 4 , 5 , and 6, it leaves a remainder of 1.
9. In East Cupcake H.S., 70 per cent of the students walk to school; the
remaining 420 students ride the bus. How many students attend the
school?
10. If a*b is defined to mean 
, then what is the value (simplified)
of 8*(6*5) ?
11. The ratio of A to B is 4:5. If 6 is added to each number, the resulting
ratio is 5:6 . What are the values of A & B ?
12. In trapezoid ABCD, 
and
meets 
at P. If AB = 6 in.,
CD = 9 in. and AC = 20 in., find AP.
13. A normal 12 hour digital bed-table clock uses "digital" numerals (they
are created with various line segments). (A) What time(s) displayed by the
clock will shine the brightest? and (B) What time(s) casts the least amount
of light?
14. A leak in a roof allows 2 drops through the first day, 4 drops the second
day, 8 drops the third day, etc. When will the 500th drop fall through?
15. How many positive whole numbers have reciprocals which are greater
than 0.001 ?
16. How many twelfths of a pound are equal to 83 1/3 % of a pound?