Wonderlic : Mathematical functions and reasoning

Study concepts, example questions & explanations for Wonderlic

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Example Questions

Example Question #21 : Wonderlic

A square has perimeter 20 feet. Give its area.

Possible Answers:

5 square feet

80 square feet

25 square feet

400 square feet

20 square feet

Correct answer:

25 square feet

Explanation:

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

\(\displaystyle 20 \div 4 = 5\) feet.

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

\(\displaystyle 5 \times 5 = 25\) square feet.

Example Question #11 : Mathematical Functions And Reasoning

Give the arithmetic mean of the following six scores:

83, 87, 99, 90, 82, 84

Round your answer to the nearest whole number.

Possible Answers:

\(\displaystyle 88\)

\(\displaystyle 90\)

\(\displaystyle 87\)

\(\displaystyle 89\)

Correct answer:

\(\displaystyle 88\)

Explanation:

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

\(\displaystyle 83+87+ 99+ 90+ 82+ 84 = 525\)

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

\(\displaystyle 525 \div 6 = 87 \textup{ R }3\)

or \(\displaystyle 87\frac{3}{6} = 87\frac{1}{2}\)

This rounds up to 88.

Example Question #1 : Completing Numerical Sequences

10, 15, 22.5, 33.75

What is the next number in the given sequence?

Possible Answers:

67.5

52.54

48.78

50.63

Correct answer:

50.63

Explanation:

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.

Example Question #2 : Completing Numerical Sequences

Give the next number in the sequence:

\(\displaystyle 7, 13, 19, 25, \underline{ \; \; \; \; \; \; }\)

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 33\)

\(\displaystyle 31\)

\(\displaystyle 34\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 31\)

Explanation:

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

\(\displaystyle 7+ 6 = \textbf{13}\)

\(\displaystyle 13+ 6 = \textbf{19}\)

\(\displaystyle 19+6 = \textbf{25}\)

\(\displaystyle 25+ 6 = \textbf{{\color{Red} 31}}\),

the missing term.

Example Question #1 : Recognizing Decimal Places

Which of the following is equal to six hundred seven ten-thousandths?

Possible Answers:

\(\displaystyle 0.607\)

\(\displaystyle 0.6007\)

\(\displaystyle 0.00607\)

\(\displaystyle 0.06007\)

\(\displaystyle 0.0607\)

Correct answer:

\(\displaystyle 0.0607\)

Explanation:

"Six hundred seven ten-thousandths" is the fraction \(\displaystyle \frac{607}{10,000}\). 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."

Example Question #2 : Recognizing Decimal Places

Examine the decimal

\(\displaystyle 0.3476\)

What is the place value of the position occupied by the "7"?

Possible Answers:

Tenths

Hundredths

Ten-thousandths

Thousandths

Correct answer:

Thousandths

Explanation:

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

\(\displaystyle \frac{1}{10^1} = \frac{1}{10}\)

\(\displaystyle \frac{1}{10^2} = \frac{1}{100}\)

\(\displaystyle \frac{1}{10^3} = \frac{1}{1,000}\)

\(\displaystyle \frac{1}{10^4} = \frac{1}{10,000}\)...

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

Example Question #1 : Recognizing Decimal Places

The number 0.045 is equal to which of the following?

Possible Answers:

Forty-five one-hundredths

Forty-five ten-thousandths

Four hundred five ten-thousandths

Forty-five one-thousandths

Four hundred five one-thousandths

Correct answer:

Forty-five one-thousandths

Explanation:

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

\(\displaystyle \frac{1}{10^1} = \frac{1}{10}\)

\(\displaystyle \frac{1}{10^2} = \frac{1}{100}\)

\(\displaystyle \frac{1}{10^3} = \frac{1}{1,000}\)

The last nonzero digit of 0.045 appears in that third place, so the fractional form of this decimal expression is \(\displaystyle \frac{45}{1,000}\), or forty-five one-thousandths.

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