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Logic
Measurement
Pattern
Fractions
Integers
100
Twenty-seven increased by twice a number is 39. What is the number?
6
100
June and Julia live 1 mile apart. It takes June 4 minutes to ride her bike directly to Julia's house. At the same rate how long would it take June to ride 3.5 miles from her own house to Bernand's house?
14 minutes
100
2 complete cycles of a pattern are shown below. If the pattern continues, what will the 103rd letter be? AABBBCCCCAABBBCCCC
B
100
Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be 2/3 of the combined ages of his brother and sister at the same time?
12 years
100
A set of 7 positive integers has a unique mode of 1, a mean of 5 and a median of 6. What is the largest possible value for any of the integers in the set?
13
200
In the integer 45,075,123, the 2 represents the value 20. By what factor would the value represented by the 5 in the thousands place have to be multiplied to equal the value represented by the 5 in the millions place?
1,000
200
Given that the diagnols of a rhombus are perpendicular bisectors of each other, what is the perimeter of a rhombus with diagnols of lengths 12 and 16 units?
40 units
200
Bill and Jill both exercise on Monday, January 1. Bill exercises every 5th day and Jill exercises every 4th day. What day of the week (Sunday, Monday, Tuesday, etc.) is the next day on which they both exercise?
Sunday
200
What is the difference between the sum of 1/2 and 1/3 and the product of 1/2 and 1/3? Express your answer as a common fraction.
2/3
200
If the ratio of 2x-y to x+y is 2 to 3, what is the ratio of x to y? Express your answer as a common fraction.
5/4
300
If three identical cylinders weigh as much as five identical spheres, and three of these spheres weigh as much as twelve identical cubes, then how many cylinders weigh as much as sixty cubes?
9 cylinders
300
Janea has a square garden with an area of 1600 square feet. She plans to create a straight path from the middle of one side to the middle of the opposite side. If the path is 3 feet wide, how many square feet of garden will be turned into a path?
120 sq feet
300
Chun is plaing a game in which he can score 0, 2, 6 or 10 points in each round. After four rounds the sum of his score is 16. How many different scoring sequences could have produced this sum? (One such sequence to include is 0, 6, 10, 0.)
22 sequences
300
If x/9 < 2/5 and x is a positive integerm how many distinct values are possile for x?
3 values.
300
What is theonly integer value of n for which n+1/13-n is a positive prime number?
12
400
Amanda, Ben and Carlos share a sum of money. Their portions are in the ratio of 1:2:7, respectively. If Amanda's portion is $20, what is the total amount of money shared?
$200 or 200.00
400
Given that the diagonals of a rhombus are perpendicular bisectors of each other, what is the perimeter of a rhombus with diagonals of lengths 12 and 16 units?
40 units
400
In a sequence of positive integers each term after the first is 1/3 of the sum of the term that proceeds it and the term that follows it in the sequence. What is the 5th term of this sequence if the 1st term is 2 and the 4th term is 34?
89
400
A fraction, a/b, not necessarily in lowest terms is equivalent to 5/9. When 5 is added to the denominator of a/b, the value of the new fraction becomes equivalent to 1/2. What is the sum of a and b?
70
400
Set L contains exactly four consecutive, positive, odd integers. The sum of the greatest integer and twice the least integer is 39. What is the least integer in the set?
11
500
Janice bought 30 items each priced at 30 cents, 2 dollars or 3 dollars. If her total purchase price was $30.00, how many 30-cent items did she purchase?
20 items
500
Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be 2/3 of the combined ages of his brother and sister at that time?
12 years
500
How many positive whole-number divisors does 196 have?
9 divisors