Mathematical functions and reasoning - Wonderlic

Isolate the on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on , as follows:

Multiplication precedes addition in the order of operations, so reverse the addition of 12 by subtracting 12 from both sides:

Now reverse multiplication by 2 by dividing by 2:

, the correct value of .

Isolate the on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on .

Multiplication precedes subtraction in the order of operations, so reverse the subtraction of 44 by adding 44 to both sides:

Now reverse multiplication by 2 by dividing by 2:

.

The numbers in the given sequence increase in a uniform pattern, namely that half of the previous number is added to each successive number. Half of 33.75 is 16.88, added to 33.75 this gives us the correct answer: 50.63 (which was also the only answer that ended with the appropriate final decimal number.

To form the sequence, begin with the term 7. Each subsequent term is equal to 6 added to the previous term, as follows:

,

the missing term.

To answer this question you could have simply multiplied 68 by 3 and gotten 204. Or, to do this question even quicker, you could have looked at the last digits. Knowing that 3 multiplied by 8 is 4, you would know that the final digit of the answer would be four, and the only answer that ended with a 4 was the correct answer, 204 dollars.

This question calls for simple arithmetic. One must simply subtract 1756 from 428. One can see this answer quickly by recognizing that the correct answer will end with the digits 28 (56 minus 28 is 28).

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 20 feet, then each side has length

feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

square feet.

In the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Multiply 15 by 8 first:

Addition and subtraction have equal precedence and are worked in left-to-right order. Add 120 and 12 next:

Now subtract:

,

the correct response.

The average speed during a trip of miles over a period of hours is miles per hour. Here, the distance driven is 60 miles; the time it took was two hours and fifteen minutes total minus the hour for the first 40 miles, which is one hour and fifteen minutes. Since fifteen minutes is equal to

hours, we get

and

Therefore, the average speed traveled during the second part of the trip is

miles per hour.

The formula for the area of a circle, given its radius , is . Replace with :

To find the radius , first, divide both sides by :

Now, find the square root of both sides. Since , 11 is the square root of 121, so

.

The radius of the given circle is 11.

To square a number means to multiply it by itself, so we seek to compute

To multiply two decimal fractions, first multiply, ignoring the decimal points:

Move the (implied) decimal point the number of spaces right equal to the total number of digits right of the decimal points in the factors; this can be seen to be two:

The product is 0.49.

Andy contributes half the cost of the pizza. The pizza costs $14.00, so his share of the cost is

;

that is, $7.00.

Sandy contributes $3.00, leaving Mandy to contribute

;

that is, $4.00.

To find the mean of a group of numbers, add the numbers first:

Divide the sum by the number of scores; this is 6, so

or

This rounds up to 88.

"Six hundred seven ten-thousandths" is the fraction . To write this in decimal form, put the "7" in the ten-thousandths place, which is the fourth place after the decimal point. This number is "0.0607."

After the decimal point, the place values of the digits are, in order:

...

The "7" is in the third place after the decimal point, so its place value is one thousandth.

After the decimal point, the place values of the digits are, in order:

The last nonzero digit of 0.045 appears in that third place, so the fractional form of this decimal expression is , or forty-five one-thousandths.

Isolate the on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on , as follows:

Multiplication precedes addition in the order of operations, so reverse the addition of 12 by subtracting 12 from both sides:

Now reverse multiplication by 2 by dividing by 2:

, the correct value of .

Isolate the on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on .

Multiplication precedes subtraction in the order of operations, so reverse the subtraction of 44 by adding 44 to both sides:

Now reverse multiplication by 2 by dividing by 2:

.

The numbers in the given sequence increase in a uniform pattern, namely that half of the previous number is added to each successive number. Half of 33.75 is 16.88, added to 33.75 this gives us the correct answer: 50.63 (which was also the only answer that ended with the appropriate final decimal number.