List of practice Questions

In a bag, there are 10 red, 15 green, and 12 blue marbles. If you draw two marbles (without replacing), what is the approximate probability of drawing two different colors?
How many different license passwords can one make if said password must contain exactly 6 characters, two of which are distinct numbers, another of which must be an uppercase letter, and the remaining 3 can be any digit or letter (upper- or lower-case) such that there are no repetitions of any characters in the password?
Sample Set A has 25 data points with an arithmetic mean of 50. Sample Set B has 75 data points with an arithmetic mean of 100. Quantity A: The arithmetic mean of the 100 data points encompassing A and B. Quantity B: 80
Which statement is correct assuming that \(a\) represents the range, \(b\) represents the mean, \(c\) represents the median, and \(d\) represents the mode for the number set: 8, 3, 11, 12, 3, 4, 6, 15, 1 ?
If you join all the vertices of a heptagon, how many quadrilaterals will you get?
Let \( p = 4 \times 6 \times 11 \times n \), where \( n \) is a positive integer. Compare the following:
Quantity A: Remainder when \( p \) is divided by 5
Quantity B: Remainder when \( p \) is divided by 33
Which of the following is a graph for the values of \( x \) defined by the inequality \( 26 \leq 2x<64 \)?
Sam is a caterer who needs to bake 300 pies. Each pie requires 4 apples. Apples are sold in bushels, with 126 apples in each bushel. How many bushels must Sam order to ensure he has enough apples?
What is the sum of all of the four-digit integers that can be created with the digits 1, 2, 3, and 4?
Which of the following defines any term in a linear sequence having 30 for its first term and 126 for its ninth term?
Robert has 22.8% of his cereal left. Choose the decimal that best represents how much of his cereal he has eaten.
The greatest prime factor of 144 is \( x \)
The greatest prime factor of 96 is \( y \)
The price of a pair of sneakers was $ 80 for the last six months of last year. On January first, the price increased by 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?
In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
Dharik lives in a house on a straight street. For years, there have been 16 houses on his street to the right of his house and 17 houses on his street to the left of his house. Last year, 5 new houses were built on the same street even further to the left of those houses to the left of Dharik’s house. If these are the only houses on this street, how many houses are on this street?
Jessica bought a few pairs of socks for $ 50. If there had been a 20% discount, she could have bought 5 more pairs of socks for the same total price. How many pairs of socks did she buy?
If \( |x-3| = 3 \), compare the two quantities:
Quantity A: \( x \)
Quantity B: 2
In order for the two triangles shown to be similar, what is one possible value for x?
In quadrilateral WXYZ, what is the degree measurement of x?
O is the center of the circle with radius 6.
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If \( a = -1 \) and \( b = 4 \), what is the difference between \( a3b + 3b \) and \( a3b + 3b0 \)?
What is the least common multiple (LCM) of 3, 8, and 10?
How many of the numbers between 20 and 40 are prime?
If \( a = -1 \) and \( b = 4 \), what is the difference between \( a3b + 3b \) and \( a3b + 3b0 \)?
What is the least common multiple (LCM) of 3, 8, and 10?