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Due: Wednesday, June 8 Give homework passes to Mr. Almeida. Due: Friday, June 3 Find the least common multiple of 12, 16, and 18. Answer: 144 Due: Friday, May 27 What is the product of the least common multiple and the greatest common factor of 22 and 48? Answer: 1056 Due: Friday, May 20 What is 25% of the sum of the first 11 prime numbers? Answer: 40 Due: Friday, May 13 A human blinks once every 5 seconds. how many times does a human blink per day? Answer: 17,280 Due: Friday, May 6 What is the 4,037th digit following the decimal point in the exapansion of 1/17? Answer: 2 Due: Friday, April 29 A rope is tightly stretched form the top of a 50 ft. pole to the top of a 20 ft. pole. The two poles are 16 ft. apart. How many feet are in the length of the rope? Answer: 34 ft. Due: Friday, April 22 What is the smallest counting number divisible by each of the first ten counting numbers? Answer: 2,520 Due: Friday, April 15 A high school football player runs 40 yards in 4.5 seconds. If he were to maintain that speed, how many miles would he run in 1 hour? Express your answer as a decimal to the nearest tenth. Answer: 18.2 Due: Thursday, April 7 In what order are the following digits? Answer: Alphabetical order Due: Thursday, March 24 How many positive integer factors does 2000 have? Answer: 20 Due: Friday, March 18 The arithmetic mean of four numbers is 70. When a fifth number is added, the mean decreases to 60. what is the fifth number? Answer: 20 Due: Friday, March 11 What is the least positive integer divisible by each of the first five composite numbers? Answer: 360 Due: Friday, March 4 What is the greatest possible value of x + y such that x2 + y2 = 90 and xy = 27? Answer: 12 Due: Friday, February 18 What is the remainder when 1313 + 5 is divided by 6? Answer: 0 Due: Friday, February 11 What is the sum of the three distinct prime factors of 47,432? Answer: 20 Due: Friday, February 4 What is the number of positive factors of 648? Answer: 20 Due: Friday, January 28 What is the remainder when the sum of the first 100 positive integers is divided by 9? Answer: 1 Due: Friday, January 21 If a + b = 8, b + c = -3, and a + c = -5, what is the value of the product abc? Answer: -120 Due: Friday, January 14, 2005 Two girls and three boys sat in a five-seat row at the movie theatre. What is the probability that the two people at each end of the row were both boys or both girls? Express your answer as a common fraction. Answer: 2/5 Due: Friday, January 7, 2005 The chickens and pigs in Farmer So's barn have a total of 50 heads and 170 legs. How many pigs are in the barn? Answer: 35 Due: Friday, December 17 Clarissa wants to sell 50 identical pencils in groups of 2 or 3. In how many ways can the pencils be grouped? Answer: 9 Due: Friday, December 10 July 4, 1903, was a Thursday. On what day of the week was July 4, 1904? Answer: Saturday Due: Friday, December 3 What is the least whole number that is divisible by 7, but leaves a remainder of 1 when divided by any integer 2 thorugh 6? Answer: 301 Due: Wednesday, November 24 What is the positive difference between the greatest and the least prime factors of 2000? Answer: 3 Due: Friday, November 19 Find the least integer value of x for which 2|x| + 7 < 17. Answer: x = -4 Due: Friday, November 12 Find the least prime number greater than 2000. Answer: 2003 Due: Friday, November 5 How many different four-digit numbers can be obtained by using any four of the digits 2, 3, 4, 4 and 4? Answer: 20 Due: Friday, October 29 What is the least possible positive integer with exactly five distinct positive factors? Answer: 16 Due: Friday, October 22 The two arithmetic sequences, 1, 5, 9, 13, . . . and 1, 6, 11, 16, . . . have infinitely many terms in common. What is the sum of the first three common terms? Answer: 63 Due: Friday, October 15 Worth: 3 pts What is the sum of the fifth prime number, the sixth composite number, and the third perfect square? Answer: 32 Due: Friday, October 8 Worth: 3 pts If May 1 falls on a Saturday, what is the sum of all the weekend dates (Saturdays and Sundays) in May? Answer: 155 Due: Friday, October 1 Worth: 3 pts What is the mean of all three-digit numbers that can be created using each of the digits 1, 2 and 3 exactly once? Answer: 222 Due: Friday, September 24 Worth: 3 pts What is the units digit of 248? Answer: 6 Due: Friday, September 17 A rep-date occurs when the number formed by the number of the month and the number of the day is the same as the last two digits of the year. For example, 9/8/98 is a rep-date since 98=98. In which year of the 21st century will the first rep-date occur? Answer: The first rep-date in the 21st century will be in the year 2011 (January, 1, 2011 - 1/1/11). Any questions or comments, please contact Mr. Almeida at malmeida@jsd.k12.ca.us. |
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