EXPENDITURES OF A PARK COMMISSION 159 EXPENDITURES OF A PARK COMMISSION TABLE SHOWING THE AMOUNTS EXPENDED BY A PARK COMMISSION FOR MAINTENANCE AND IMPROVEMENT IN ONE YEAR 1. Find the total amount expended for labor in maintenance. 2. Find the total amount expended for material in maintenance. 3. Find the total amount expended for maintenance. 4. What was the total amount expended for labor in improvement? 5. What was the total amount expended for material in improvement? 6. What was the total amount expended for improvement? 7. What is the sum of answers to 3 and 6? What does it represent? 8. What was the total amount expended on North Common? On each of the other parks? For other purposes? 9. Find the sum of the amounts expended. 10. Compare the answer to 9 and the answer to 7. 42 2. What is an abstract number? A concrete number? 3. Which of these numbers are prime? Composite? 84 47 37 56 63 19 39 61 4. What is a prime number? A composite number? 5. What are the factors of 24? 56? 84? 120? 6. What is meant by the factors of a number? 7. What are the prime factors of 56? 96? 144? · 8. What is a prime factor? 9. What number is represented by 23 × 5? By 42 × 32? By 53 × 22? 10. What does the exponent of a number tell? 11. What is the greatest common divisor of 12, 15, and 18? Of 24, 36, 60? Of 28, 35, 56? 12. What is the length of the longest stick that will exactly measure distances of either 15 feet, 18 feet, or 30 feet? 13. What is the least common multiple of 9, 12, 18? Of 12, 15, 20? Of 8, 16, 24? 14. Two men start from the same point and walk around a circular pond. The first makes the circuit in 12 minutes and the second in 15 minutes. How many minutes before they will come together at the starting point? 15. What is the least length of dress goods that can be woven in one piece so that it can be cut without waste into dress patterns of either 6 yards, 10 yards, or 12 yards? FRACTIONS 1. What is a unit? A fraction? 2. In the fraction $2, what does each term show? In a fraction what name is given: Oral 3. To the number below the line? What does it show? 4. To the number above the line? What does it show? 5. Name the fraction which shows what part of the month of September is 1 week; 3 weeks; 1 week 5 days; 24 weeks. 6. What name is given to a fraction whose value is less than 1? Whose value is 1? Whose value is more than 1? 7. What name is given to a number consisting of a whole number and a fraction? 8. Change to improper fractions: 11 3 17 37 21% 8 62 58 712 94 831 9. Change to mixed numbers: The form of a fraction may be changed without changing its value. This may be done in two ways: 5 3 5 (1) By changing to higher terms. Thus, & = §. (2) By changing to lower terms. 9 1 10 9 higher terms? Thus, §. = 12 18 14 13 18 27 2 13. How is a fraction changed to lower terms? 14. Change to lowest terms: 14 18 18 38 38 15. When is a fraction in its lowest terms? 16. Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. What is changed? WRITTEN EXERCISE 1. Write as fractions with 5 for a denominator: 2. Write five fractions each equal to 1; five equal to five equal to 3. 3. Write in as many forms as possible having two figures in the denominator. 4. Change to 36ths: 1 3 1 8 12 1 11 22 24 524 108 |