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.

MATH COUNTS

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

### 2.When 5 is subtracted from three times a number, the 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?

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?

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?

### 6.What is the sum of the first five positive odd integers?

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 ?

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.

### 9.What number is one hundred less than one thousand thirty-three?

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?

### 13.The cube of what integer is closest to 800?

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.

20

15

10

5

Dogs

Cats

Fish

Birds

### 22.What is the units digit of 62004?

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?

### 33.Simplify: 7 ´ 103 + 5 ´ 102 - 4 ´ 101 + 7 ´ 100.

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?

### 35.If f (x) = x2- 1, what is the value of f (-1)?

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?

### 37.When the expression 7 + 4(x + 5) - 8(3 - x) is simplified, what is the value of the coefficient of the x-term?

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.

### 41.Two numbers are in the ratio of 5:7. Their sum is 108. 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.

### 43.Given: . What is thevalue of the ratio ? Expressyour 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?

Fiction55%

Nonfiction25%

Educational10%

Other10%

### 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?

### 49.Express the value of 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.

### 53.What is 150% of 26?

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?

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

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.