math counts
DESCRIPTION
MATH COUNTS . 2003 School Competition Countdown Round. 1.What number tripled is half of 42?. Answer: 7. 2.A circular region of radius 2 units is completely inside a circular region of radius 5 units. What percent of the larger region is occupied by the smaller region?. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/1.jpg)
MATHCOUNTS
2003 School Competition
Countdown Round
![Page 2: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/2.jpg)
1. What number tripled is half of 42?
![Page 3: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/3.jpg)
Answer: 7
![Page 4: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/4.jpg)
2. A circular region of radius 2 units is completely inside a circular region of radius 5 units. What percent of the larger region is occupied by the smaller region?
![Page 5: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/5.jpg)
Answer: 16 (percent)
![Page 6: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/6.jpg)
3. What is the least positive integer that can be added to 412 to yield a multiple of 3?
![Page 7: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/7.jpg)
Answer: 2
![Page 8: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/8.jpg)
4. Eight U.S. coins are worth a total of 38 cents. How many of the coins are dimes?
![Page 9: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/9.jpg)
Answer: 2 (coins)
![Page 10: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/10.jpg)
5. How much more is 34 than 43?
![Page 11: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/11.jpg)
Answer: 17
![Page 12: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/12.jpg)
6. Compute: . 66 666
22 222
4
4
,
,
![Page 13: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/13.jpg)
Answer: 81
![Page 14: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/14.jpg)
7. What is the greatest common factor of 40 and 48?
![Page 15: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/15.jpg)
Answer: 8
![Page 16: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/16.jpg)
8. What is the sum of the number of faces, edges and vertices of a triangular prism?
![Page 17: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/17.jpg)
Answer: 20
![Page 18: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/18.jpg)
9. The value of eight nickels and six dimes is the same as four nickels and how many dimes?
![Page 19: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/19.jpg)
Answer: 8 (dimes)
![Page 20: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/20.jpg)
10. Find the number of square units bounded by the x-axis, the y-axis and the line x + y = 6.
![Page 21: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/21.jpg)
Answer: 18 (square units)
![Page 22: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/22.jpg)
11. What is the value of x when 43 + 62 = 10
x ?
![Page 23: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/23.jpg)
Answer: 2
![Page 24: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/24.jpg)
12. Fred has 2 yellow, 2 red and 2 green tokens. One red token is equivalent to 3 yellow tokens. One yellow token is equivalent to 3 green tokens. Fred converts all of his tokens to green tokens. How many green tokens does he have?
![Page 25: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/25.jpg)
Answer: 26 (tokens)
![Page 26: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/26.jpg)
13. A right triangle has legs with lengths of 5 units and 12 units. How many units long is the hypotenuse?
![Page 27: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/27.jpg)
Answer: 13 (units)
![Page 28: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/28.jpg)
14. Using only the digits 1 through 5, how many even three-digit positive integers less than 500 can be written if digits can be used more than once?
![Page 29: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/29.jpg)
Answer: 40 (integers)
![Page 30: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/30.jpg)
15. The average of five numbers is 10.6. Four of the numbers are 10, 4, 5 and 20. What is the value of the fifth number?
![Page 31: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/31.jpg)
Answer: 14
![Page 32: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/32.jpg)
16. In the figure shown, polygons ABCD, CDEF and DEGH are squares. The perimeter of hexagon ABFGHD is 40 cm. How many square centimeters are in the area of hexagon ABFGHD?
F E G
C
B A
DH
![Page 33: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/33.jpg)
Answer: 75 (square centimeters)
![Page 34: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/34.jpg)
17. How many non-negative integers are less than 10 ?
![Page 35: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/35.jpg)
Answer: 32 (integers)
![Page 36: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/36.jpg)
18. In training, Petra runs of a mile in 60 seconds. At this rate, how many seconds does it take Petra to complete a run of of a mile?
1
6
1
4
![Page 37: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/37.jpg)
Answer: 90 (seconds)
![Page 38: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/38.jpg)
19. What is the remainder when 5462 is divided by 9?
![Page 39: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/39.jpg)
Answer: 8
![Page 40: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/40.jpg)
20. How many more boxes are needed if 70 ornaments are packaged in boxes of five rather than boxes of seven?
![Page 41: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/41.jpg)
Answer: 4 (boxes)
![Page 42: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/42.jpg)
21. What common fraction is equivalent to 2.5%?
![Page 43: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/43.jpg)
Answer: 1
40
![Page 44: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/44.jpg)
22. The perimeter of a rectangle is 32 cm. Its length is three times its width. How many centimeters are in the length of the rectangle?
![Page 45: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/45.jpg)
Answer: 12 (centimeters)
![Page 46: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/46.jpg)
23. At which of the following stores is the average cost per pencil the least? Store A sells 17 pencils for $1.50, Store B sells 5 pencils for $0.85 and Store C sells 7 pencils for $1.20.
![Page 47: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/47.jpg)
Answer: (Store) A
![Page 48: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/48.jpg)
24. In any month with a “Friday the Thirteenth,” what day of the week is the first day of the same month?
![Page 49: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/49.jpg)
Answer: Sunday
![Page 50: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/50.jpg)
25. What is the maximum number of regions in the plane created by three distinct lines, no two of which are parallel?
![Page 51: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/51.jpg)
Answer: 7 (regions)
![Page 52: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/52.jpg)
26. At the penny store, there are candies that cost 7 cents and candies that cost 17 cents. If Araz spent exactly 99 cents on these two types of candy, how many total candies did he buy?
![Page 53: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/53.jpg)
Answer: 7 (candies)
![Page 54: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/54.jpg)
27. What is the sum of the first six positive multiples of 3?
![Page 55: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/55.jpg)
Answer: 63
![Page 56: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/56.jpg)
28. Express the sum as a common fraction:
1
10
1
100
1
1000
1
10 000
,.
![Page 57: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/57.jpg)
Answer: 1111
10 000,
![Page 58: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/58.jpg)
29. Each side of pentagon ABCDE has length less than or equal to 7 units, AB = 5 units and BC = 4 units. How many units are in the greatest possible perimeter of ABCDE?
![Page 59: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/59.jpg)
Answer: 30 (units)
![Page 60: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/60.jpg)
30. Two fields each have a perimeter of 400 feet. One is a square and one is a rectangle with dimensions of 50 feet by 150 feet. What is the positive difference in the number of square feet of their areas?
![Page 61: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/61.jpg)
Answer: 2500 (square feet)
![Page 62: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/62.jpg)
31. What is the greatest integer
less than ? 17
4
![Page 63: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/63.jpg)
Answer: 5
![Page 64: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/64.jpg)
32. Using two distinct members of the set {0, 1, 2, 3, 4}, how many different sums can be attained?
![Page 65: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/65.jpg)
Answer: 7 (sums)
![Page 66: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/66.jpg)
33. Evaluate the expression if a = 5.a a3 2
![Page 67: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/67.jpg)
Answer: 3125
![Page 68: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/68.jpg)
34. How many square centimeters are in the area of a triangle whose sides have lengths 5 cm, 12 cm and 13 cm?
![Page 69: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/69.jpg)
Answer: 30 (square centimeters)
![Page 70: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/70.jpg)
35. The side length of a cube is doubled. The volume of the new cube is how many times the volume of the original cube?
![Page 71: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/71.jpg)
Answer: 8
![Page 72: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/72.jpg)
36. How many integers between 200 and 300 are perfect squares?
![Page 73: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/73.jpg)
Answer: 3 (integers)
![Page 74: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/74.jpg)
37. If the middle two digits of 9567 were interchanged, how much larger would the resulting number be?
![Page 75: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/75.jpg)
Answer: 90
![Page 76: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/76.jpg)
38. Let and . What is the value of ?
f x x( ) 2 3g x x( ) 1g f( ( ) )5 1
![Page 77: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/77.jpg)
Answer: 7
![Page 78: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/78.jpg)
39. What is the greatest two-digit multiple of 13?
![Page 79: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/79.jpg)
Answer: 91
![Page 80: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/80.jpg)
40. What is the slope of the line containing the midpoint of the segment with endpoints at (0, 0) and (2, 2) and the midpoint of the segment with endpoints at (5, 0) and (6, 2)? Express your answer in simplest form.
![Page 81: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/81.jpg)
Answer: 0
![Page 82: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/82.jpg)
41. A pair of diamond earrings was purchased by a dealer for $900 and sold to a customer for $1125. By what percent of the original price did the price increase?
![Page 83: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/83.jpg)
Answer: 25 (percent)
![Page 84: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/84.jpg)
42. Joshua’s restaurant bill is $10. To calculate the tip, he calculates 15% of the value of the bill and then rounds up to the nearest dollar. What percent of his $10 bill does he actually tip?
![Page 85: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/85.jpg)
Answer: 20 (percent)
![Page 86: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/86.jpg)
43. What is the sum: –10 + –9 + –8 + ...
+ 9 + 10 + 11 + 12?
![Page 87: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/87.jpg)
Answer: 23
![Page 88: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/88.jpg)
44. One side of a square is 12 + 3x centimeters and another side is 32 + x centimeters. How many centimeters is the length of the diagonal of the square? Express your answer in simplest radical form.
![Page 89: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/89.jpg)
Answer: (centimeters)42 2
![Page 90: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/90.jpg)
45. The ratio of x to 40 is equal to the ratio of 12 to 30. What is the value of x?
![Page 91: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/91.jpg)
Answer: 16
![Page 92: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/92.jpg)
46. If the Smith family drinks milk daily, a carton of milk will last them for 12 days. If the Smiths want milk at home at least of the time, they must purchase milk every how many days?
4
5
![Page 93: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/93.jpg)
Answer: 15 (days)
![Page 94: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/94.jpg)
47. The area of a circle is 100 square centimeters. How many centimeters are in the circumference of the circle? Express your answer in terms of .
![Page 95: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/95.jpg)
Answer: 20 (centimeters)
![Page 96: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/96.jpg)
48. What is the units digit of the product of the first three positive composite numbers?
![Page 97: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/97.jpg)
Answer: 2
![Page 98: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/98.jpg)
49. Evaluate (x + y)(x – y) when x = 15 and y = 5.
![Page 99: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/99.jpg)
Answer: 200
![Page 100: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/100.jpg)
50. How many degrees are in each interior angle of a regular hexagon?
![Page 101: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/101.jpg)
Answer: 120 (degrees)
![Page 102: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/102.jpg)
51. Calculate: .2
2
2323
![Page 103: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/103.jpg)
Answer: 2
![Page 104: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/104.jpg)
52. Simplify: .( )5 4
![Page 105: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/105.jpg)
Answer: 25
![Page 106: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/106.jpg)
53. If 75 seeds are planted and 15 of the seeds are germinating, what is the ratio of seeds germinating to seeds planted? Express your answer as a common fraction.
![Page 107: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/107.jpg)
Answer:1
5
![Page 108: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/108.jpg)
54. The scale of a backpacker’s map is “1 cm on the map represents 24,000 cm on the ground.” How many kilometers long is a hike that measures 10 cm on the map? Express your answer as a decimal to the nearest tenth.
![Page 109: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/109.jpg)
Answer: 2.4 (kilometers)
![Page 110: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/110.jpg)
55. Mississippi was one of ten states to lose a Congressional seat based on the 2000 Census. What percent of the 50 states did not lose a Congressional seat?
![Page 111: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/111.jpg)
Answer: 80 (percent)
![Page 112: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/112.jpg)
56. If y = 2 – 3x and x increases by 1, then y decreases by what amount?
![Page 113: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/113.jpg)
Answer: 3
![Page 114: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/114.jpg)
57. Ben flips a fair nickel four times. What is the probability that Ben flips Head, Tail, Head, Tail, in that order? Express your answer as a common fraction.
![Page 115: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/115.jpg)
Answer:1
16
![Page 116: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/116.jpg)
58. Mary jogs 16 miles in 2 hours, 24 minutes. On average, how many minutes does it take her to jog one mile?
![Page 117: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/117.jpg)
Answer: 9 (minutes)
![Page 118: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/118.jpg)
59. With one skein of wool yarn, Sharon can knit three inches of a scarf that is nine inches wide. What is the least whole number of skeins with which she can knit a scarf that is six inches wide and two feet long?
![Page 119: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/119.jpg)
Answer: 6 (skeins)
![Page 120: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/120.jpg)
60. Three positive integers have a sum of 72 and are in the ratio 1:3:4. What is the least of these three integers?
![Page 121: MATH COUNTS](https://reader035.vdocuments.mx/reader035/viewer/2022062222/56814f11550346895dbca2fa/html5/thumbnails/121.jpg)
Answer: 9