SSAT Upper Level Math : Basic Addition, Subtraction, Multiplication and Division
Study concepts, example questions & explanations for SSAT Upper Level Math
All SSAT Upper Level Math Resources
Example Questions
Example Question #21 : Basic Addition, Subtraction, Multiplication And Division
Define a function 
Evaluate 
The correct answer is not among the other responses.
The expression is undefined.
The expression is undefined.
Since even-numbered roots of negative numbers are not defined for real-valued functions, the expression is undefined.
Example Question #11 : How To Subtract
Define an operation 
For all real numbers 
Evaluate 
The expression is undefined on the real numbers.
The expression is undefined on the real numbers.
However, 
Example Question #1 : How To Multiply
First multiply the fraction in the numerator.
Now we have
Never divide fractions. We multiply the numerator by the reciprocal of the denominator.
Example Question #2 : How To Multiply
Which of these expressions is the greatest?
All of these expressions are equivalent
One fourth of
Twenty percent of one fourth
Twenty-five percent of one fifth
One fifth of
All of these expressions are equivalent
The easiest way to see that all four are equivalent is to convert each to a decimal product, noting that twenty percent and one-fifth are equal to 
One fourth of 0.2:
One fifth of 0.25:
Twenty-five percent of one fifth:
Twenty percent of one fourth:
Example Question #3 : How To Multiply
Write .007341 in scientific notation.
The answer is 
Example Question #4 : How To Multiply
If 
When three negative numbers are multiplied together, the product will be negative as well. All the other expressions are true.
Example Question #3 : How To Multiply
Fill in the circle to yield a true statement:
The problem is asking for a number whose product with 5 yields a number congruent to 3 in modulo 6 arithmetic - that is, a number which, when divided by 6, yields remainder 3. We multiply 5 by each choice and look for a product with this characteristic.
The only choice whose product with 5 yields a number congruent to 3 modulo 6 is 3, so this is the correct choice.
Example Question #6 : How To Multiply
You are asked to fill in all three circles in the statement
with the same number from the set
to make a true statement.
How many ways can you do this?
Five
One
Three
Four
Two
One
The problem is asking for a number whose cube is a number congruent to 9 in modulo 10 arithmetic - that is, a number whose cube, when divided by 10, yields remainder 9. If the quotient of a number and 10 has remainder 9, then it is an integer that ends with the digit "9". Since this makes the cube odd, the number that is cubed must also be odd, so we need only test the five odd integers:
Only 9 fits the criterion, so "one" is the correct response.
Example Question #7 : How To Multiply
You are asked to fill in both circles in the statement
with the same number from the set
to make a true statement.
How many ways can you do this?
Two
None of the other responses is correct.
None
Six
Four
Four
The problem is asking for a number whose square is a number congruent to 1 in modulo 12 arithmetic - that is, a number whose square, when divided by 12, yields remainder 1. This square must be odd, so the number squared must also be odd. Therefore, we need only test the odd integers. We see that:
Four of the integers have squares congruent to 1 in modulo 12 arithmetic.
Example Question #8 : How To Multiply
Multiply:
None of the other responses is correct.
We can write 2 pounds, 5 ounces as just ounces as follows:
Multiply:
Divide by 16, noting quotient and remainder, to get pounds and ounces:
Therefore, the correct response is 13 pounds, 14 ounces.
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All SSAT Upper Level Math Resources
