1. Week #27 Reach for the Stars 8 th grade math

2. Reach for the Stars Monday The Childress family went on a camping trip. They paid $28.00 for a 2-night stay at a campground that allows a maximum stay of 30 nights. Which equation can they use to find c, the cost of camping at this campground for the maximum number of nights? A c = 60 · 56 B c = 30 · 28 C c = 28 · 28 D c = 30 · 14

3. Reach for the Stars Monday The sun’s core temperature reaches close to 2.7 × 10 7 degrees Fahrenheit. Which of the following represents this temperature in standard notation? A 270,000°F B 2,700,000°F C 27,000,000°F D 270,000,000°F

4. Reach for the Stars Monday Raymond packs boxes for an appliance company. He can pack a large box in 10 minutes and a small box in 4 minutes. He needs to pack 10 large boxes and 20 small boxes. If 2.5 hours remain before closing time, will Raymond have time to finish the work before closing time if he works without stopping? A. Yes, Raymond will finish the work in 1.8 hours. B. No, it will take him 4 hours to finish. C. Yes, Raymond will finish the work in 0.5 hour. D. No, it will take him 3 hours to finish.

5. Reach for the Stars Tuesday On Monday Kasha bought a CD for 40% off the regular price of $16.00, not including tax. The next day the CD that Kasha had bought was marked down to 65% off its regular price. How much more money would Kasha have saved, not including tax, if she had waited until Tuesday to buy the CD? A. $4.00 B. $6.40 C. $9.60 D. $10.40

6. Reach for the Stars Tuesday Mrs. Simmons bought 3 table lamps for $129.90. If each lamp cost $40.00 before tax was added, what tax rate did she pay on the 3 lamps? A. 7.5% B. 43.3% C. 30.79% D. 8.25%

7. Reach for the Stars Tuesday Marlon played an electronic game. There were 15 questions, of which he answered 3 incorrectly. At this rate, how many questions should Marlon expect to answer incorrectly if he answers a total of 135 questions? A. 45 B. 27 C. 9 D. 5

8. Reach for the Stars Wednesday Which method would you use to find the total surface area of a triangular pyramid? A. find the area of the base and multiply by the height of the pyramid and divide by 3 B. find the area of one face and divide by 2 C. find the area of one face and multiply by 3 D. find the area of one face, multiply it by 3 and add it to the area of the base

9. Reach for the Stars Wednesday The diameter of a blood cell is measured in micrometers. A micrometer is 0.000001 meter. Which expression represents this number in scientific notation? A. 1.0 × 10 7 B. 1.0 × 10 6 C. 1.0 × 10 -6 D. 1.0 × 10 -7

10. Reach for the Stars Wednesday A mistake was made in simplifying the expression below. Simplify: 5 + 2(3) - (4 - 1) + 3 2 Step 1: 5 + 2(3) - 3 + 3 2 Step 2: 5 + 2(3) - 3 + 9 Step 3: 7(3) – 3 + 9 Step 4: 21 – 3 + 9 Step 5: 21 – 12 Step 6: 9 In which step did the mistake first appear? A Step 1 B Step 2 C Step 3 D Step 4

11. Reach for the Stars Thursday The figure shows a rectangle inside a circle. Which procedure should be used to find the area of the shaded region? A Find the area of the circle and then subtract the area of the rectangle. B Find the circumference of the circle and then subtract the perimeter of the rectangle. C Find the circumference of the circle and then subtract the area of the rectangle. D Find the area of the rectangle and then subtract the perimeter of the rectangle.

12. Reach for the Stars Thursday A mistake was made in simplifying the expression below. Simplify: 6 - 2(6+4) – 2 3 Step 1: 6 - 2(10) – 2 3 Step 2: 4(10) – 2 3 Step 3: 40 – 2 3 Step 4: 40 – 8 Step 5: 32 In which step did the mistake first appear? A Step 1 B Step 2 C Step 3 D Step 4

13. Reach for the Stars Thursday Trace paid Dalton $15.50 for a combination of 15 baseball and football cards. The baseball cards were $1.50 each, and the football cards were $0.50 each. How much did Trace spend on the baseball cards? A. $3.50 B. $12.00 C. $4.00 D. $10.50

14. Reach for the Stars Friday Ms. Keller just purchased a house and needs to replace her driveway with either asphalt or concrete. Asphalt costs $75 per cubic yard but must be replaced every 10 years. Concrete costs $175 per cubic yard but lasts 3 times as long as asphalt. Which is closest to the amount of money Ms. Keller will save per cubic yard for the first 30 years if she chooses concrete? A $50 per cubic yard B $100 per cubic yard C $25 per cubic yard D $250 per cubic yard

15. Reach for the Stars Friday Arielle’s truck can travel 250 miles on 15 gallons of gas. At this rate, how many miles can Arrielle’s truck travel on 9 gallons of gas? A 200 mi B 150 mi C 140 mi D 100 mi

16. Reach for the Stars Friday A math game is played with 2 fair number cubes. A green cube is numbered 1 through 3, and each number is marked on 2 faces. A red cube has faces numbered 1 through 6. If both cubes are tossed, what is the probability of rolling a 3 on the green cube and a 6 on the red cube?