All ISEE Middle Level Math Resources
Example Questions
Example Question #114 : Ssat Middle Level Quantitative (Math)
Joey's teacher takes off 5 points from student essays each day the essay is late. The essays are scored out of 100 points. If Joey's essay got a score of 68, but he turned it in 3 days late, what would his score have been if he had turned the essay in on time?
Given that Joey's essay was 3 days late, he lost 15 points. This is because he loses 5 points for each day that it is late, and having turned it in 3 days late, lost 15 points.
Joey's final score (68) will be equal to his original grade, minus the penalty.
If we add 15 to the score that ultimately received, the sum is 83.
If Joey had turned his essay in on time, he would have earned a score of 83.
Example Question #115 : Ssat Middle Level Quantitative (Math)
Write in base ten:
In base five, each place value is a power of five, starting with 1 at the right, then, going to the left,
can be calculated in base ten as
.
Example Question #171 : Algebraic Concepts
Annie ran miles on Wednesday. She ran more miles on Thursday than she did on Wednesday. On Friday, she ran a distance in miles that was longer than the distance she ran on Wednesday. On Saturday, she ran a distance in miles that was longer than the distance she ran on Thursday. What is the total number of miles that Annie ran, Wednesday through Saturday?
On Wednesday, Annie ran miles.
She ran more miles on Thursday than she did on Wednesday. Therefore, she ran miles on Thursday.
On Friday, she ran a distance in miles that was longer than the distance she ran on Wednesday. of miles is mile. (You can figure this out by realizing that since of is and is half of , of must be half of , which is .) , so Annie ran miles on Friday.
On Saturday, she ran a distance in miles that was longer than the distance she ran on Thursday. of is . , so Annie ran miles on Saturday.
The sum of these distances is equal to
Annie ran miles in total Wednesday through Saturday.
Example Question #172 : Algebraic Concepts
Bob and Anita drove cross country together. If Bob drove miles on the trip, and Anita drove twice as many miles as Bob, how many miles total did they drive together?
If Bob drove miles, and Anita drove twice as many miles as Bob, then Anita drove miles; therefore, the sum of the miles that they drove together would be 3J.
Thus, the correct answer is .
Example Question #1 : Expressions & Equations
If is added to of another number, the result is . What is the other number?
The first step is to translate the words, "if is added to of another number, the result is ," into an equation. This gives us:
Subtract from each side.
Multiply each side by .
Therefore, is the correct answer.
Example Question #33 : How To Add Variables
Jack has a collection of coins. He gives Brett most of his collection, such that Brett now has twice as many coins as Jack. If there are 36 coins in the collection, how many coins does Jack now have?
If Jack has a collection of 36 coins and gives Brett most of his collection, such that Brett now has twice as many coins as Jack, this problem can be solved by dividing the total into 3 equal parts, giving 2 of the parts to Brett and one of the parts to Jack
: this is Jack's part
: this is Brett's part
Example Question #34 : How To Add Variables
If , what is the value of ?
In solving for the first step is to substitute for , given that .
Next, the parentheses are solved for.
This simplifies to , the correct answer.
Example Question #1 : Expressions & Equations
Simplify the following expression:
Cannot be computed
When adding and subtracting variable, you can only combine like variables.
That means all of the variables are solved separately from the variables.
Then you just add and subtract the constants normally so and .
So the final answer is .
Example Question #31 : How To Add Variables
Simplify:
Begin by distributing the to its entire group:
Next, group the like terms:
Finally, combine the like terms:
Example Question #31 : How To Add Variables
When adding variables, we must add all of the like variables together but then combine them into one singular value at the end. True or False
False
True
False
When adding variables, it is true that you must first add all of the like variables. But then they are left separate to have an expression with the different variables differentiated.
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