Please print legibly. Names

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Aubrie Nelson
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SCORE Please print legibly School / Team Names Directions: Answers

$Integer (example: 7) 2. Simplified fraction (example:!! ) 3.$ Radical form, if not possible to simplify to a whole number

1 SCORE Please print legibly School / Team Names Directions: Answers must be left in one of the following forms: 1. Integer (example: 7) 2. Simplified fraction (example:!! ) 3. Mixed number, fraction part simplified (example: 2!! ) 4. Radical form, if not possible to simplify to a whole number (example: 7 ) 5. Money: rounded to the nearest cent (example: $10.15) 6. As otherwise specified in the problem

1. When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses.

Form a 3- digit whole number by selecting one digit from each column, in the order given. For example, you can form 718 or 214. How many different 3- digit multiples of 9 are possible? 2. 3. Six students take a photo for a yearbook sitting in a row.

2 1. When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses. If John can only spend $170 for computer help this year, what is the maximum number of help sessions he can use this year? 1. sessions 2. Form a 3- digit whole number by selecting one digit from each column, in the order given. For example, you can form 718 or 214. How many different 3- digit multiples of 9 are possible? Six students take a photo for a yearbook sitting in a row. Two of them wear hats, and they want to sit at both ends. How many different ways of seating all the students are possible? This grid is divided into 1 cm by 1 cm squares. In square centimeters, what is the area of triangle ABC? 4. cm 2

5. Given 5 nickels and 3 pennies, how many different amounts of money can be formed using one or more of these 8 coins? 5. 6. A rectangle is subdivided into 15 congruent squares as shown.

Select any three different natural numbers between 0 and 10 to use as digits. 2. Write all six 3- digit numbers that can be written with your three digits. 3. Add those six numbers. 4.

3 5. Given 5 nickels and 3 pennies, how many different amounts of money can be formed using one or more of these 8 coins? A rectangle is subdivided into 15 congruent squares as shown. Each square measures 4 inches on each side. How many square inches are in the unshaded area? 6. square inches 7. Follow this set of directions: 1. Select any three different natural numbers between 0 and 10 to use as digits. 2. Write all six 3- digit numbers that can be written with your three digits. 3. Add those six numbers. 4. Divide the sum in Part 3 by the sum of the three digits you originally chose in Part What is your result? 8. A framed picture that is 20 inches wide and 36 inches high is shown in the diagram below. 8. The picture will be hung where the distance from the floor to ceiling is 8 feet. The center of the picture must be 4! feet from the! floor. Determine the distance from ceiling to the top of the picture.

4 9. One table seats 4 people, two tables seat 6 people, and three tables seat 8 people. Assuming the table pattern continues in the same manner, what is the minimum number of waiters needed for 21 tables, if each waiter can serve no more than 6 people? 9. waiters 10. In Fairbanks Alaska, the number of hours of daylight increases rapidly in February. On February 1, sunrise was at 9:37 AM and sunset was at 4:33 pm. On February 28, sunrise was at 8:02 AM and sunset was at 6:08 pm. How many more minutes of daylight were there on February 28 than on February 1? 10. minutes 11. Two cousins visited Janet today. One cousin visits every 42 days. The other cousin visits every 429 days. They will visit again on the same day in days. 11. days 12. The Strong Goldbach conjecture states that any even number greater than 7 can be written as the sum of two different prime numbers. In how many ways can 30 be written as the sum of two different prime numbers? 12.

5 13. Farmer Nicole has 15 very rare prized chickens. She takes her chickens to market and trades her very rare chickens for 9 spotted ducks. When walking home from the market, she walks past Molly s Moo- Cow farm and decides to trade her 9 spotted ducks for 1 cow. After learning how stinky cows are, she decides to trade the cow for 4 billy goats. Her billy goats eat her prized quilt, so she trades her 4 billy goats for 1 hog that weighs 180 pounds, which she decides to sell. She receives $2.75 per pound for her hog. Assuming all trades were fair, how much is a rare prized chicken worth? 13. $ 14. There are 20 rows of seats in the stadium. Row one has 20 seats, row two has 21 seats, row three has 22 seats, and the pattern continues. How many seats are there in the stadium? 14. seats 15. The lengths of the first five songs on a popular CD are 5 minutes 46 seconds, 4 minutes 23 seconds, 4 minutes 15 seconds, 3 minutes 58 seconds, and 3 minutes 47 seconds. There is a lapse of 4 seconds between songs. How long will it take from the time the first song starts and the last song finishes? 15. min sec 16. While on vacation, a group can rent bicycles and scooters by the week. They get a reduced rental rate if they rent 5 bicycles for every 2 scooters rented. The reduced rate per bicycle is $15.50 per week and the reduced rate per scooter is $160 per week. The sale tax on each rental is 12%. The group has $1600 available to spend on bicycle and scooter rentals. What is the greatest number of bicycles and the greatest number of scooters the group can rent if the ratio of bicycles to scooters is 5:2? 16. bicycles scooters

6 17. A draftsman has made and recorded these measurements. The arrows and dashed lines indicate exactly what lengths and widths are being measured. What is the area in square centimeters of this region? 17. cm An organization is raising money by having car washes. Each site must charge the same rate. The organization has agreed that they must charge more than $5 per car. If the first site raised $198, the second site raised $252, and the third site raised $495, how much are they charging for each car wash? 18. $ 19. The product of the three numbers in each row and in each column is given. Without repetition, place the number 1 through 9 in these nine cells to produce these six products. What is the value of N? A scale drawing for a construction project uses a scale of 1 inch = 4 feet. The dimensions of the rectangular family room on the scale drawing are 7.5 inches by 12 inches. What will be the actual area of the floor of the family room after the construction project is completed? 20. square feet

Chapter Review Problems

Chapter Review Problems Unit 1.1 Reading, writing, and rounding numbers Change these numbers to words: 1. 317 Three hundred seventeen 2. 8,257,116 Eight million, two hundred fifty-seven thousand, one hundred