1 / 121

# MATH COUNTS - PowerPoint PPT Presentation

MATH COUNTS. . 2004 School Competition Countdown Round. 1. Marie owns 103 department stores. Each store has 106 shelves for towels. What is the total number of shelves for towels?. Answer: 10,918 (shelves).

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' MATH COUNTS' - delu

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

MATHCOUNTS

2004 School Competition

Countdown Round

1. Marie owns 103 department stores. Each store has 106 shelves for towels. What is the total number of shelves for towels?

Answer: 10,918 (shelves) 106 shelves for towels. What is the total number of shelves for towels?

Answer: 4 result is 7. What is the number?

3. The Battling Hummingbirds have won 40% of their first 60 games. If they win their next 12 games in a row, what percent of all of their games will they have won?

Answer: 50 (percent) 60 games. If they win their next 12 games in a row, what percent of all of their games will they have won?

4. A 3-foot tall flower-stand casts a 9-foot shadow. At the same time, a nearby tree casts a 51-foot shadow. How many feet tall is the tree?

Answer: 17 (feet) same time, a nearby tree casts a 51-foot shadow. How many feet tall is the tree?

5. Two boxes, A and B, contain pennies. In box A, there are nine more pennies than in box B. The total number of pennies in boxes A and B is 41. What is the number of pennies in box A?

Answer: 25 (pennies) nine more pennies than in box B. The total number of pennies in boxes A and B is 41. What is the number of pennies in box A?

6. What is the sum of the first five positive odd integers? nine more pennies than in box B. The total number of pennies in boxes A and B is 41. What is the number of pennies in box A?

Answer: 25 nine more pennies than in box B. The total number of pennies in boxes A and B is 41. What is the number of pennies in box A?

7. Trae is searching for a treasure on the beach. From point A, he is told to walk two meters north, three meters east, and then two meters north to point B. In meters, what is the length of ?

Answer: 5 (meters) point A, he is told to walk two meters north, three meters east, and then two meters north to point B. In meters, what is the length of ?

8. Mr. Cole is driving at his favorite speed of 55 miles per hour. He is 125 miles from his destination. His goal is to arrive at his destination in two hours. How many miles per hour faster than his preferred speed must he drive to meet his goal? Express your answer as a decimal to the nearest tenth.

Answer: 7.5 (miles per hour) hour. He is 125 miles from his destination. His goal is to arrive at his destination in two hours. How many miles per hour faster than his preferred speed must he drive to meet his goal? Express your answer as a decimal to the nearest tenth.

10. What is the degree measure of the angle between the hour hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?

Answer: 105 (degrees) hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?

11. Katrina can bicycle 50 miles in four hours. At the same speed, how many miles does she bicycle in six hours?

Answer: 75 (miles) speed, how many miles does she bicycle in six hours?

14. In a state senate, there are 24 Democrats, 32 Republicans, and 4 Independents. If one senator is selected at random, what is the probability that the senator is a Republican? Express your answer as a common fraction.

Answer: Republicans, and 4 Independents. If one senator is selected at random, what is the probability that the senator is a Republican? Express your answer as a common fraction.

15. The sum of Republicans, and 4 Independents. If one senator is selected at random, what is the probability that the senator is a Republican? Express your answer as a common fraction.x and y is 11 and the positive difference between x and y is 3. What is the value of the product of x and y?

Answer: 28 Republicans, and 4 Independents. If one senator is selected at random, what is the probability that the senator is a Republican? Express your answer as a common fraction.

16. The total value of 90 pennies, 20 dimes and 12 quarters is what percent of the value of a ten-dollar bill?

Answer: 59 (percent) is what percent of the value of a ten-dollar bill?

17. Solve for is what percent of the value of a ten-dollar bill?x: 18 - x = 10 + x.

Answer: 4 is what percent of the value of a ten-dollar bill?

18. An 8 cm by is what percent of the value of a ten-dollar bill?N cm rectangle has a diagonal of length 10 cm. What is the number of centimeters in the perimeter of this rectangle?

Answer: 28 (centimeters) is what percent of the value of a ten-dollar bill?

19. The histogram shows the numbers of types of the 50 pets reported by the 7th graders in a school. What percent of the pets are cats?

20

15

10

5

Dogs

Cats

Fish

Birds

Answer: 40 (percent) reported by the 7th graders in a school. What percent of the pets are cats?

20. What is the sum of the reciprocals of the distinct positive factors of 8? Express your answer as a mixed number.

21. What is the number of degrees in the measure of positive factors of 8? Express your answer as a mixed number.angle ABD in square ABCD?

22. What is the units digit of 6 positive factors of 8? Express your answer as a mixed number.2004?

23. Triangle ABC is isosceles with angle B congruent to angle C. The measure of angle C is four times the measure of angle A. What is the number of degrees in the measure of angle B?

Answer: 80 (degrees) angle C. The measure of angle C is four times the measure of angle A. What is the number of degrees in the measure of angle B?

24. What integer is closest angle C. The measure of angle C is four times the measure of angle A. What is the number of degrees in the measure of angle B?to ?

Answer: 14 angle C. The measure of angle C is four times the measure of angle A. What is the number of degrees in the measure of angle B?

Answer: 100 What is the number?

Answer: 120 What is the number?

27. The Carters had a 10-foot by 10-foot patio built at a cost of \$2200. How many dollars per square foot did the patio cost to build?

Answer: 22 (dollars per cost of \$2200. How many dollars per square foot did the patio cost to build? square foot)

28. Jenna has \$1.75 in nickels and dimes. She has twice as many dimes as nickels. How many dimes does Jenna have?

Answer: 14 (dimes) many dimes as nickels. How many dimes does Jenna have?

29. What is the decimal many dimes as nickels. How many dimes does Jenna have? equivalent of ? Expressyour answer to the nearest hundredth.

Answer: 2.75 many dimes as nickels. How many dimes does Jenna have?

30. The ratio of the measures of two complementary angles is 7:11. What is the measure, in degrees, of the larger angle?

Answer: 55 (degrees) 7:11. What is the measure, in degrees, of the larger angle?

32. From a one meter piece of yarn, Chris cuts a 31.5 cm piece and a 35.5 cm piece. In centimeters, how much yarn is left?

Answer: 33 (centimeters) piece and a 35.5 cm piece. In centimeters, how much yarn is left?

33. Simplify: piece and a 35.5 cm piece. In centimeters, how much yarn is left?7 ´ 103 + 5 ´ 102 - 4 ´ 101 + 7 ´ 100.

Answer: 7467 piece and a 35.5 cm piece. In centimeters, how much yarn is left?

34. A stair-step exercise machine indicates that Leon burns 180 calories in 12 minutes. At the same rate, how many calories would Leon burn in a 4-minute workout?

Answer: 60 (calories) 180 calories in 12 minutes. At the same rate, how many calories would Leon burn in a 4-minute workout?

35. If 180 calories in 12 minutes. At the same rate, how many calories would Leon burn in a 4-minute workout?f (x) = x2- 1, what is the value of f (-1)?

Answer: 0 180 calories in 12 minutes. At the same rate, how many calories would Leon burn in a 4-minute workout?

36. Four friends are in line for movie tickets. Rick is behind Tom, but ahead of Mark. James and Tom are separated by one person. Who is last in line?

Answer: Mark behind Tom, but ahead of Mark. James and Tom are separated by one person. Who is last in line?

37. When the expression behind Tom, but ahead of Mark. James and Tom are separated by one person. Who is last in line?7 + 4(x + 5) - 8(3 - x) is simplified, what is the value of the coefficient of the x-term?

Answer: 12 behind Tom, but ahead of Mark. James and Tom are separated by one person. Who is last in line?

38. Steven is making a scale drawing of his living room. He is using a scale of one-quarter inch to one foot. In the drawing, how many inches will represent the length of a 72-inch long couch? Express your answer as a decimal to the nearest tenth.

Answer: 1.5 (inches) is using a scale of one-quarter inch to one foot. In the drawing, how many inches will represent the length of a 72-inch long couch? Express your answer as a decimal to the nearest tenth.

39. The ages, in years, of the ten people in the math club are: 12, 12, 12, 12, 13, 13, 13, 14, 14, 39. What is the mode of the ages?

Answer: 12 (years) are: 12, 12, 12, 12, 13, 13, 13, 14, 14, 39. What is the mode of the ages?

40. What is the greatest prime factor of 10!? are: 12, 12, 12, 12, 13, 13, 13, 14, 14, 39. What is the mode of the ages?

Answer: 7 are: 12, 12, 12, 12, 13, 13, 13, 14, 14, 39. What is the mode of the ages?

Answer: 45 What is the lesser number?

42. Rebecca remembered the first six digits of a friend’s 7-digit phone number. If she randomly selects a digit to replace the last digit she can’t remember, what is the probability she will dial the correct number? Express your answer as a common fraction.

Answer: 7-digit phone number. If she randomly selects a digit to replace the last digit she can’t remember, what is the probability she will dial the correct number? Express your answer as a common fraction.

43. Given: . What is the 7-digit phone number. If she randomly selects a digit to replace the last digit she can’t remember, what is the probability she will dial the correct number? Express your answer as a common fraction.value of the ratio ? Expressyour answer as a common fraction.

Answer: 7-digit phone number. If she randomly selects a digit to replace the last digit she can’t remember, what is the probability she will dial the correct number? Express your answer as a common fraction.

44. The categories and percentages for 536 million juvenile books are given in the table. Of these juvenile books, how many books were Nonfiction?

Fiction 55%

Nonfiction 25%

Educational 10%

Other 10%

Answer: 134,000,000 (books) books are given in the table. Of these juvenile books, how many books were Nonfiction?

45. Twenty-five percent of what number is 12? books are given in the table. Of these juvenile books, how many books were Nonfiction?

Answer: 48 books are given in the table. Of these juvenile books, how many books were Nonfiction?

46. What is the number of square centimeters in the area of a circle with radius 4 cm? Express your answer is terms of p.

47. A candy company puts 21 candies in each bag. There are only red and blue candies in each bag. For every two red candies in a bag there are five blue candies. How many red candies are in each bag?

Answer: 6 (candies) are only red and blue candies in each bag. For every two red candies in a bag there are five blue candies. How many red candies are in each bag?

49. Express the value of 11?as a common fraction.

50. Joshua flips three coins. What is the probability that they are neither all heads nor all tails? Express your answer as a common fraction.

51. How many distinct prime factors does 5 they are neither all heads nor all tails? Express your answer as a common fraction.2- 32have?

52. How many triangles of any size are in this figure? they are neither all heads nor all tails? Express your answer as a common fraction.

53. What is 150% of 26? they are neither all heads nor all tails? Express your answer as a common fraction.

54. Each bottle of perfume at The Perfume Parlor contains ounces of perfume. How many of these bottles of perfume could be made from 96 ounces of perfume?

Answer: 512 (bottles) ounces of perfume. How many of these bottles of perfume could be made from 96 ounces of perfume?

Answer: 10 (ways) a group of five students?

56. In the formula a group of five students?d = rt, what is the value of r if d = 60 and t = 4?

Answer: 15 a group of five students?

57. On average, each American consumes 286 eggs per year. What is the number of years it would take, at this rate, for an American to eat 2000 eggs? Express your answer to the nearest whole number.

Answer: 7 (years) What is the number of years it would take, at this rate, for an American to eat 2000 eggs? Express your answer to the nearest whole number.

58. Of the 80 students at camp, 37.5% of them are male. What is the number of students at camp who are female?

Answer: 50 (students) What is the number of students at camp who are female?

59. One fair standard six-sided die is rolled. What is the probability of rolling a number greater than 4? Express your answer as a common fraction.