Directions: Mark on the answer form the letter that is closest to the correct answer. Make sure that your name(s) are on the answer form. If you are on a team put your team number and school name on the answer form. Remember that there are 5 points awarded for a correct response, 1 point for no response, and 0 points for an incorrect response.
The midpoints of the sides of a 25 cm. by 25 cm. square are connected to form a second square. The midpoints of the sides of the second square are connected to form a third square and so on.
1. What is the ratio of the area of the fourth square to the first square?
A) 1:10 B) 1:4 C) 1:8 D) 1:6
2. What is the total length in meters of all the segments that are needed to draw the first 6 squares?
A) 3.0 B) 2.5 C) 4.0 D) 3.5
3. What is the total length in meters of all the segments needed to draw this recursive picture to infinity?
A) 3.4 B) 3.7 C) 4.0 D) infinite
Uchi is selling stuffed animals in two stores (S1 and S2). She has kept records of the sales information for the months of January, February and March. She also has the information on the cost to make each stuffed animal and the selling prices in dollars.
4. What is the total number of Bunnies sold during the three-month period?
A) 40 B) 28 C) 85 D) 75
5. What are the total gross sales in dollars for all of the stuffed animals?
A) 2800 B) 3000 C) 2600 D) 2400
6. Based on the sales for the first quarter of the year, predict the annual profit for Uchi's business?
A) 7200 B) 4000 C) 12000 D) 1800
You are considering two possible investments for your money. The first investment is compounded quarterly at an interest rate of 5% and the second is compounded continuously at an interest rate of 4.8%.
7. What is the interest earned on $1000 over a 10 year in the first investment plan?
A) $740 B) $680 C) $650 D) $630
8. How many years would it take to double your money in the first investment?
A) 13 B) 14 C) 15 D) 16
9. What is the difference in earnings between the two investment plans over a 5-year period?
A) $13 B) $9 C) $11 D) $7
The land of the United States was originally divided into square miles (640 acres). A rectangular farm measures 1300 ft. by 2800 ft. It needs to be fertilized twice a year for its hay crop. The farm produces 5 tons of hay per acre per year and each bale of hay weighs 100 lbs. The fertilizer is applied at 300 lbs. per acre per application and costs $270 per ton.
10. How many acres is the farm?
A) 55 B) 65 C) 75 D) 85
11. What is the price for the fertilizer for one year?
A) $7000 B) $5000 C) $3000 D) $9000
12. What is the price of fertilizer per bale of hay?
A) 120¢ B) 60¢ C) 40¢ D) 80¢
A driver pulls her car out of the parking lot to make the short trip home from work. She slows to turns one corner and stops twice but not necessarily in that order. One stop is at home and one is at a stop sign. For each graph below the horizontal axis is time.
A B C D
13. Which graph is the distance graph for her trip?
A) A B) B C) C D) D
14. Which graph is the graph of her acceleration for the trip?
A) A B) B C) C D) D
15. If the maximum speed was 30 mph on the way home, how fast did the car take the turn?
A) 20 mph B) 10 mph C) 15 mph D) 25 mph
Part 2
Directions: Mark on the answer form the letter that is closest to the correct answer. Make sure that your name(s) are on the answer form. If you are on a team put your team number and school name on the answer form. Remember that there are 5 points awarded for a correct response, 1 point for no response, and 0 points for an incorrect response.
A league has exactly eight teams and every team plays each of the other teams exactly once. Assume your team is in this league.
1. What is the total number of league games played?
A) 40 B) 32 C) 64 D) 28
2. If the chance of your team winning is 60%, what is the probability that your team will have 6 win, 1 loss season?
A) 1.8% B) 4.7% C) 32% D) 13%
Given the arithmetic sequence 70, 74, 78...
3. What is the last term if the mean of the first third of the terms of the sequence is 80?
A) 134 B) 138 C) 142 D) 146
4. How many terms must the sequence have for the mean to be 8000?
A) 3966 B) 3961 C) 3962 D) 3982
A car dealership pays its employees all on the same formula. Each sales person earns an annual fixed amount and a commission on each car that they sell. The employees were polled and the results are in the table. One of the salespersons had trouble estimating their total salary.
| Employee | Number of Cars Sold | Total Salary for the Year |
| Shawna | 70 | $18000 |
| Zeb | 40 | $15000 |
| Julio | 70 | $20000 |
| Rajeev | 50 | $16000 |
| Charissa | 85 | $20000 |
5. What was the commission in dollars per car for that year?
A) 110 B) 115 C) 120 D) 125
6. What was the amount in dollars of fixed income for that year?
A) 9500 B) 10000 C) 10500 D) 11000
7. Which sales person had the worst memory?
A) Shawna B) Zeb C) Julio D) Rajeev
Use the following graph of f(x):
8. Find f(3).
A) –4.5 B) –0.5 C) 2.5 D) –3.0
1. Find f-1(-4).
A) 1/2 B) 0 C) undefined D) –1 or –3
10. Find f(f(f(5))).
A) –4 B) 0 C) –2 D) –5
Ten numbers have a sum of 100. The numbers are then rounded to the nearest integer and a second total is calculated.
11. What is the range of the possible second totals?
A) 10 B) 8 C) 5 D) 2.5
12. What is the probability that the total of the rounded numbers is between 98.5 and 99.5?
A) 0.01 B) 0.05 C) 0.10 D) 0.20
To the right is a topology map of a lake. The map is to scale and shows contour lines for the depth of the lake.
0 10 20 30 40 in meters 0 5 10
Depth lines are every 5 meters.
13. What is the surface area in square meters of the lake?
A) 600 B) 800 C) 1000 D) 1200
14. What is the volume in cubic meters of the lake?
A) 3000 B) 5000 C) 7000 D) 9000
15. What is the largest angle in degrees between the bottom of the lake and the lake's surface?
A) 10 B) 20 C) 30 D) 40
| PART 1 ANSWERS: | PART 2 ANSWERS: |
| 1. C | 1. D |
| 2. A | 2. D |
| 3. A | 3. B |
| 4. C | 4. A |
| 5. A | 5. A |
| 6. B | 6. C |
| 7. C | 7. C |
| 8. B | 8. C |
| 9. C | 9. D |
| 10. D | 10. A |
| 11. A | 11. B |
| 12. D | 12. D |
| 13. D | 13. B |
| 14. A | 14. A |
| 15. C | 15. D |
© 2000 WSMC, Jim Miller, and Richard Edgerton