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Weekly QuizDemonstrate a fearless pursuit of *auk*ademic*auk*cellence by plunging, head-first of course, into these questions. Return every week for a new quiz on another of the 14,000 topics in the Knowledge Master Library.

**Word Problems**(Click on the question number for the answer.) 1. $480 **Diamond Discounts**- What would be your cost if you were offered a 20% discount on a $600 diamond?
2. A **Measurement**- To the number of square feet in 2 square yards, add the sum of the number of pints in 3 quarts and the number of ounces in 2 pounds.
- A. 56
- B. 38
- C. 82
- D. 44
- E. 30
3. 15 **Wrestling Combinations**- There are six wrestlers in a tournament, each of whom must wrestle every other just one time. How many matches must be played?
4. C **Area**- Jane's house measures 50' by 30' and her lot measures 120' by 50'. What fraction of her lot is not occupied by her house?
- A. 1/2
- B. 4/5
- C. 3/4
- D. 5/6
- E. 2/3
5. 36 **Age Problems**- In eight years, the mother will be twice as old as her son will be then. Three years ago, the mother was three times as old as her son was then. What is the mother's age now?
6. D **Radioactivity**- A certain radioactive isotope has a half-life of 24 hours. What fraction of this isotope will remain radioactive after five days?
- A. 1/4
- B. 1/8
- C. 1/16
- D. 1/32
- E. 1/64
7. E **Towers of Cash**- One dollar is 4/1000 of an inch thick. In miles, about how high is a $1 billion stack of dollar bills?
- A. 4.4 miles
- B. 11.3 miles
- C. 29.7 miles
- D. 41.6 miles
- E. 63.1 miles
8. 4 and 6 **Algebraic Word Problems**- Two numbers differ by 2. Five times the smaller number diminished by twice the greater number is 8. The numbers are ...
9. C **Tank Proportions**- A gasoline tank has a capacity of 18 gallons. The tank is 1/4 full. The additional number of gallons needed to completely fill it is ...
- A. 14.5
- B. 11.5
- C. 13.5
- D. 12.5
- E. 15.5
10. $2.92 **Your Electric Bill**- Electricity costs 8 cents per kilowatt-hour. Every day, 365 days per year, a 100-watt light bulb burns for one hour. How much does this cost annually?
11. 3 **Radical Folklore**- What is the square root of the number of lives that a cat is said to have?
12. B **Taxi Charges**- Consider a taxi which charges $1.20 for the first 1/3 of a mile and $.50 for each additional third of a mile. How much would a 5 mile trip cost?
- A. $6.40
- B. $8.20
- C. $7.60
- D. $8.60
- E. $7.20
13. C **Model Measurement**- A model rocket was launched to an altitude of 54,925 feet. How many feet above 10 miles did it travel?
- A. 1845
- B. 1975
- C. 2125
- D. 2165
- E. 2205
14. 18 **Galactic Math**- At a galactic get-together, there were twice as many two-headed creatures as one-headed creatures. If there were 45 heads at the gathering, how many two-headed creatures were there?
15. A **Sauce Shipping**- A factory wants to put a dozen jars of taco sauce in boxes for shipping. They have 420 jars of sauce. How many boxes will they need?
- A. 35
- B. 70
- C. 24
- D. 18
- E. 62
16. .75 **Time**- To the nearest hundredth of a year, express the part of the year remaining after March 31st.
17. 20 **Operations**- Twice the sum of 16 and 24 is divided by half their difference. What is the quotient?
18. E **Goofy Math**- 2 fingles equal 6 rorgs. 12 rorgs equal 1 noggle. How many fingles are there in 5 noggles?
- A. 12
- B. 14
- C. 16
- D. 18
- E. 20
19. 30 **Anchovy Proportions**- 15 pounds of anchovies are needed for 7 pizzerias for 2 days. How many pounds are needed for 4 pizzerias for 7 days?
20. 24, 26, 28 **Consecutive Integers**- Determine three consecutive even integers whose sum is 78.
21. D **A Concrete Answer**- How many cubic yards of concrete are needed to pour a 4-inch pad that is 12 feet by 16 feet?
- A. 0.82
- B. 1.29
- C. 1.67
- D. 2.37
- E. 2.84
22. 10% **Venn Diagrams**- Market research determined that 60% of a population had tried brand X, 50% had tried brand Y, and 20% had tried both. What percentage of the population had tried neither?
23. 40 **Special Ingredients**- Witches can purchase frog warts at a cost of two for 60 cents. How many warts can be purchased for $12.00?
24. B **Magnitudes**- As an order of magnitude, express the number of seconds required for the Earth to rotate on its axis.
- A. 10 to the 6th power
- B. 10 to the 5th power
- C. 10 to the 4th power
- D. 10 to the 3rd power
- E. 10 to the 2nd power
25. 7 hrs 15 min **Travel Time**- Ned Bonaparte flew nonstop from Montreal, Canada to Lima, Peru. He departed at quarter after ten in the morning and arrived at half-past five in the afternoon. What was the duration of the flight?
26. C **Displacement**- Elvira drove 200 miles south and then 60 miles east. What is her displacement from her starting point?
- A. 201 miles
- B. 205 miles
- C. 209 miles
- D. 213 miles
- E. 217 miles
27. B **Sports Scores**- A basketball team scored 102 points. The team made six more field goals than foul shots. How many field goals did the team make in this game?
- A. 32
- B. 36
- C. 40
- D. 44
- E. 48
28. 2000 sq ft **Walkabout Math**- What is the total area of the figure you walked around if you walked 20 feet south, 30 feet east, 40 feet north, 70 feet west, 20 feet south, and then directly back to your starting point?
29. 20 **Work Problems**- Building a barn was to take 25 days with a crew of 8. With a crew of 10, how many days will this job take?
30. 6% **People Percentages**- 30% of the people attending a certain convention are from Arizona and 20% of these people are from Phoenix. What percentage of the people attending the conference are from Phoenix?

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**Answers to Word Problems**- 1. $480
- 2. A
- 3. 15
- 4. C
- 5. 36
- 6. D
- 7. E
- 8. 4 and 6
- 9. C
- 10. $2.92
- 11. 3
- 12. B
- 13. C
- 14. 18
- 15. A
- 16. .75
- 17. 20
- 18. E
- 19. 30
- 20. 24, 26, 28
- 21. D
- 22. 10%
- 23. 40
- 24. B
- 25. 7 hrs 15 min
- 26. C
- 27. B
- 28. 2000 square feet
- 29. 20
- 30. 6%
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