PRAXIS Core Math MCQ Test

  • PRAXIS
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1) Which one of the following is NOT the same as a 3:7 ratio?

Explanation

Reduce each ratio to simplest form (similar to how you would with fractions) and compare:

A) 6:10 reduced by 2 = 3:5, which is not the same as a 3:7 ratio.
B) 9:21 reduced by 3 = 3:7
C) 12:28 reduced by 4 = 3:7
D) 15:35 reduced by 5 = 3:7
E) 30:70 reduced by 10 = 3:7

Thus A) 6:10 is the answer.

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About This Quiz
PRAXIS Core Math MCQ Test - Quiz

Mathematics is a wonderful subject, whether you feel it’s necessary for you or not. It’s a fundamental skill, and a good foundation of knowledge in it will make you look like a competent individual in any field of work that requires you to add, subtract, multiply or divide on the... see morefly. In this Free Mini PRAXIS Core Math Test, we’ll be checking up on your basic maths knowledge to see how much you know!
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2) In which of the following are the two numbers equivalent? I.   1.2 and 1/2 II.   0.8 and 0.800           III.  9 and 33

Explanation

straight I right parenthesis space 1.2 space and space 1 half space are space not space equivalent comma space since space 1 half space equals space 0.5 space<br />
II right parenthesis space 0.8 space and space 0.800 space are space equivalent. space<br />
III right parenthesis space 9 space and space 3 cubed space are space not space equivalent space since space 3 cubed space equals space 3 space straight x space 3 space straight x space 3 space equals space 27 space space<br />
Therefore comma space only space II space is space true comma space making space left parenthesis straight B right parenthesis space the space correct space answer. space
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3) Of the five numbers listed below, which is the greatest?

Explanation

Write the numbers so that they all go to the same place value. Then, compare as regular numbers:

A) 0.00800 = 0.00800 = 800
B) 0.022 = 0.02200 = 2,200
C) 0.00004 = 0.00004 = 4
D) 0.0197 = 0.01970 = 1,970
E) 0.0202 = 0.0202 = 2,020

2,200 has the greatest value, thus B) 0.022 is the answer.

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4) What digit is in the hundredths place of the number 978.0234?

Explanation

Since the hundredths places ends in "ths", this means that its place value is less than one and holds a place to the right of the decimal point.

After the decimal point, going from left to right, the place values are as follows:
. tenths, hundredths, thousandths, ten thousandths...

Therefore, 2 is in the hundredths place and is the correct answer.

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5) A map is drawn with a scale of 4 inches representing 80 miles. How many inches on the map would represent 280 miles?

Explanation

straight A space proportion space can space be space set space up colon<br />
4 over straight n equals space 80 over 280<br />
Reduce colon<br />
4 over straight n equals space 2 over 7<br />
Cross space multiply colon<br />
4 cross times 7 space equals space 2 straight n<br />
space space space space 28 space equals space 2 straight n<br />
Solve space for space straight n colon<br />
space space 28 over 2 equals space fraction numerator 2 straight n over denominator 2 end fraction<br />
space space space space space 14 space equals space straight n<br />
The space answer space is space straight B right parenthesis space 14<br />
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6) Which of the following is greater than 0.674?

Explanation

Convert all of these to the same form (fraction, decimal, percent) and compare:

Which of the following is greater than .512 = 51.2%?

1/2 = 50%
0.0598 = 5.98%
5/12 = 41.66...%
5.83%
8/15 = 53.33...%

It is clear that 8/15 is the answer.

The quick way would have been to recognize .512 as being just slightly over 1/2, and that the only answer given that is more than 1/2 is 8/15, because 8 is more than half of 15.

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7) Theodore bought a clock that is 18 centimeters tall. What is the height of the clock in millimeters?

Explanation

1 centimeter = 10 millimeters

This means that there are 10 times as many millimeters as there are centimeters.

18 x 10 = 180, so the height of the clock is 180 millimeters.

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8) In a class of 25 students, 15 are boys. What percentage of the students in the class are girls?

Explanation

Out space of space straight a space total space of space 25 space students comma space if space 15 space are space boys comma space then space 10 space must space be space girls. space<br />
To space determine space the space percentage space of space girls space in space the space class comma space take space the space number space<br />
of space girls space and space divide space it space by space the space total space number space of space students comma space and space then space convert space<br />
to space straight a space percentage space left parenthesis multiply space by space 100 % right parenthesis. space<br />
10 over 25 space cross times space 100 % space equals space 2 over 5 space cross times space fraction numerator 100 % over denominator 1 end fraction equals space fraction numerator 200 % over denominator 5 end fraction space equals space 40 %<br />
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9) Nicole spent $60 on groceries the first week of July. The second week of July she spent $75 on groceries. What was the percent increase in the amount spent by Nicole on groceries?

Explanation

To space find space the space percent space increase comma space take space the space difference space between space the space new<br />
amount space and space the space original space amount space left parenthesis 75 minus 60 right parenthesis space and space divide space it space by space the space original space<br />
amount space left parenthesis 60 right parenthesis colon<br />
fraction numerator left parenthesis 75 space minus space 60 right parenthesis over denominator 60 end fraction space equals space 15 over 60 equals space 0.25<br />
Convert space to space straight a space percent space by space moving space the space decimal space point space two space places space to space the space right<br />
and space adding space straight a space percent space sign space left parenthesis or space by space multiplying space by space 100 % right parenthesis. space<br />
Thus comma space 0.25 space becomes space 25 %.
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10) Natalie did 1/3 of her homework on Saturday and 1/5 more of her homework on Sunday. What is the ratio of the amount of homework she has completed to the amount of homework she has not completed? 

Explanation

Add space the space fractions space together colon space<br />
space 1 third plus 1 fifth equals 5 over 15 plus 3 over 15 equals 8 over 15<br />
All space of space the space work space would space be space considered space one space whole space or space 1.<br />
Make space it space so space that space 1 space is space straight a space fraction space with space straight a space common space denominator colon 15 over 15.<br />
Subtract space to space find space out space how space much space homework space she space hasn apostrophe straight t space done colon space<br />
15 over 15 minus space 8 over 15 equals space 7 over 15<br />
So space if space Natalie space has space completed space 8 over 15 of space her space homework comma space<br />
she space has space not space completed space 7 over 15 comma space thus space making space the space ratio space 8 over 15 colon 7 over 15 comma space which space is space<br />
the space same space as space an space 8 colon 7 space ratio.
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Which one of the following is NOT the same as a 3:7 ratio?
In which of the following are the two numbers equivalent? I.  ...
Of the five numbers listed below, which is the greatest?
What digit is in the hundredths place of the number 978.0234?
A map is drawn with a scale of 4 inches representing 80 miles. How...
Which of the following is greater than 0.674?
Theodore bought a clock that is 18 centimeters tall. What is the...
In a class of 25 students, 15 are boys. What percentage of the...
Nicole spent $60 on groceries the first week of July. The second week...
Natalie did 1/3 of her homework on Saturday and 1/5 more of her...
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