All SSAT Upper Level Math Resources
Example Questions
Example Question #21 : Basic Addition, Subtraction, Multiplication And Division
Define a function on the real numbers as follows:
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 on the real numbers as follows:
For all real numbers :
.
Evaluate .
The expression is undefined on the real numbers.
The expression is undefined on the real numbers.
However, is undefined in the real numbers; subsequently, so is
.
Example Question #1101 : Ssat Upper Level Quantitative (Math)
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 #1102 : Ssat Upper Level Quantitative (Math)
Which of these expressions is the greatest?
One fifth of
All of these expressions are equivalent
Twenty percent of one fourth
One fourth of
Twenty-five percent of one fifth
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 , and twenty-five percent and one fourth 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 #1103 : Ssat Upper Level Quantitative (Math)
Write .007341 in scientific notation.
The answer is .
Example Question #1104 : Ssat Upper Level Quantitative (Math)
If are consecutive negative numbers, which of the following is false?
When three negative numbers are multiplied together, the product will be negative as well. All the other expressions are true.
Example Question #1104 : Ssat Upper Level Quantitative (Math)
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 #4 : 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?
None
Two
Six
Four
None of the other responses is correct.
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 #25 : Basic Addition, Subtraction, Multiplication And Division
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
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