Numbers & Operations
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Set 2: Grid-Ins
1.    If the prime factors of y are 2, 5, and 11, what is one possible value for y, when y > 500?

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2.    In a certain parking lot, there are 24 blue cars, 16 red cars, and the rest are white cars. If there is a total of 48 cars in the parking lot, what is the ratio of white cars to blue cars?

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3.    It takes 1/3 lb. of sausage mixed with 2/ 3 lb. of beans mixed with 1 lb. of rice to make jambalaya for 6 people. How many pounds of sausage are needed to make jambalaya for 27 people?

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4.    Integer k is a multiple of 3 and between 100 and 150. When k is divided by 7, the remainder is 4. What is one possible value of k?

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5.    At Ambrose Bierce’s family Thanksgiving dinner, he offered his relatives both turkey and tofurkey. At dinner, 16 relatives had turkey, and 24 had tofurkey. If 12 relatives had both turkey and tofurkey, how many relatives came to Ambrose Bierce’s Thanksgiving dinner?

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6.    Set A consists of all even integers, and set B consists of all integers equal to or less than 1. If x is the intersection of the two sets, what is one possible value of x?

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7.    500% of 30% of 36 is what percent of 216?

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8.    What is the least of seven consecutive integers whose sum equals 168?

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9.    If x3 > x4, what is one possible value of x?

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10.    Integers 1–49 are written out to create one number (1,234,567, 891,011,121,314,. . . 4,849). The number will consist of how many digits?

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11.    Consecutive integers 15–30 are multiplied together to produce one product. How many factors of 3 does the product contain?

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12.    There are 150 students in the junior class at Joseph McCarthy High School. Of them, 1/3 bike to school, and the rest take the bus. If there are 45 boys in the class and 15 of them bike, how many girls take the bus?

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13.    Set R consists of a geometric sequence where the first term is 17 and the constant ratio is 6. Set S consists of an arithmetic sequence where the first term is 87 and the constant term is 175. If set T consists of all positive integers less than 1,000, what is the intersection of all three sets?

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14.    There are 3,600 pieces of candy divided into three different colors: red, blue, and green. There are more blue pieces than red and more green pieces than blue. If there are 1,000 red pieces, what is the LARGEST amount of blue pieces possible?

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15.    Delilah decides to start saving money, but she wants to start slow. On the first day, she saves 1 cent, on the second day she saves 2 cents, and on the third day she saves 4 cents. Each day she continues to save double what she saved the previous day. In dollars, how much will she have saved after 10 days?


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