ANSWERS TO MATH ENRICHMENT WORKSHEETS
Enrichment Worksheet 1
1. $2,775
2. 15 laps
3. $2
4. 49 dancers
5. 20 bicycles
6. $5
7. 7 gumballs
8. 3,456
9. x = 27 units
10. 54 cm.
Enrichment Worksheet 2
1. 11 years old
2. 15 years old
3. 23 years old
4. 11,111
5. 888 + 88 + 8 + 8 + 8 = 1,000
6. $400
7. 4 times
8. 250 of each
9. 5 + 6 + 7 + 8
10. 20 people
Enrichment Worksheet 3
1. 32, 64, 128
2. 5
3. 31
4. 33
5. 170
6. 1
7. 17
8. 69
9. 91
10. 18
11. 110
12. 1,111
13. 1,000,000
14. 1,100,111
15. 11,001,111
16. 10,111
17. 100,000
18. 101,010
19. 110,110
Enrichment Worksheet 4
1. to eliminate decimal points after subtraction
2. by 10; by 1,000
3. 7/9
4. 7/33
5. 5/11
6. 86/99
7. 16/37
8. 67/111
9. 5/12
10. 2 and 5/33
11. put the 2 repeating digits over 99
Enrichment Worksheet 5
1. 12.6 seconds
2. 80 times
3. 50 of each coin
4. 10 ways
5. 729
6. 90 palindromes
7. 35 made shots
8. 30 ways
9. 4 times faster
10. 3,072 inches squared
Enrichment Worksheet 6
1. 28
2. 496
3. Each sum is one less than the actual number
4. probably not, since each sum is one less than the number itself
5. deficient
6. abundant
7. abundant
8. abundant
9. deficient
Enrichment Worksheet 7
1. 1/3 of the trip
2. 180 cards
3. 1/5
4. 48 cars
5. 800 people
6. 3 lbs.
7. 32 possible orders
8. fill the 5oz. container with water. Pour this water into the 3oz. container and discard. Fill the 3oz. container with the remaining 2oz. Fill the 5oz. container again. Pour as much as you can into the 3oz container (which already has 2oz. in it) You will only pour 1oz. into the 3oz. container. You will have exactly 4oz. left in the 5oz. container.
9. 35,040 hours
10. 8in x 20in x 6in
Enrichment Worksheet 8
1. arithmetic
2. harmonic
3. neither
4. arithmetic
5. harmonic
6. harmonic
7. neither
8. harmonic
9. arithmetic
10. neither
Enrichment Worksheet 9
1. 1.7%
2. 0.2%
3. 0.1%
4. 0.8%
5. 0.2%
6. 0.1%
7. 0.2%
8. 0.0%
9. 1.1%
10. 0.0%
11. 0.4%
12. 0.5%
13. 1,200m
14. 122.6kg
15. they are the same
16. 25.55kg
17. 4.0
18. 4.00
19. Whichever measurement has more digits has the smaller relative error.
Enrichment Worksheet 10
1. 14
2. 249
3. 2,904
4. 337
5. 1,970
6. XXXIII
7. LXXI
8. CCXLIII
9. MCMXCV
10. MMMDCC
Enrichment Worksheet 11
1. 7.5 feet, 3.75 feet, 1.875 feet, 0.937 feet, 1/16, 1/32, 1/64
2. no
3. no 1/128, 1/256, 1/512, 1/1,024, 1/2,048, 1/4,096
4. no
5. 7/32
6. 11/200
7. 31/48
8. 15/112
9. 199/200
Enrichment Worksheet 12
1. n
2. d
3. h
4. c
5. f
6. k
7. l
8. g
9. e
10. m
11. i
12. b
13. a
14. j
15. o
Enrichment Worksheet 13
1. 54pi
2. 18pi
3. 36pi
4. the volume of a cylinder equals the sum of the volumes of a cone and sphere with the same height and radius
5. the volume of a cylinder equals three times the volume of a cone with the same radius and height
6. 250pi
7. (250/3)pi or 83.33pi
8. (500/3)pi or 166.67pi