HSPT Math Review Exam With Questions And 100%
Correct Answers Latest Update
Comutative Property - ANSWER States that two or more numbers can be added or
multiplied in any order and still arrive at the same sum or product. i.e. 8 + 20 = 20 + 8 7 •
12 = 12 • 7
Distributive Property - ANSWER If you multiply a sum by number, you will get the same
result if you multiply each addend by that number and then add the products. i.e. 4(7 + 6)
= 4(7) + 4(6)
Exponent - ANSWER A raised number that tells the power of the base.
i.e. 43 = 4 • 4 • 4 = 64
62 = 6 • 6 = 36
Identity Property - ANSWER Has 2 parts. The sum of any number and Zero is that
number. The product of any number and One is that number. i.e. 8 + 0 = 8
45(1) = 45
Inequality - ANSWER A mathematical sentence that shows the relationship between
quantities that are not equivalent.
i.e. 5‹8
5b + 2 ≥ 12
Integers - ANSWER The set of positive whole numbers, negative whole numbers and
zero.
i.e. .-4, -3, -2, -1, 0, 1, 2, 3, 4
, Irrational Number - ANSWER A number that cannot be expressed as a ratio of two
integers or as a repeating or terminating decimal.
i.e. 4.45683127406792103694396.
∏ = 3.14159265358979323846.
Mean - ANSWER For a numerical data set, the sum of all the data divided by the number
of data items.
i.e. Find the mean for the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
1. 12+45+32+15+40+25+29+49+22+27+31+33+31 = 391
2. 391 ÷ 13 = 30.076923
3. Round to the hundredths place = 30.08
Median - ANSWER The middle item in a data set ordered from least to greatest.
i.e. Find the median of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
1. Put data in order from least to greatest
12, 15, 22, 25, 27, 29, 31, 31, 32, 33, 40, 45, 49
2. Middle # 31
Mode - ANSWER The item or items that occur most in a data set.
i.e. What is the mode of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33,
31
The # that appears the most is 31.
Probability - ANSWER A number from 0 to 1 that tells how likely an event is to happen.
i.e. What is the probability that I will get "heads" when I flip a coin?
1 out of 2, 50%, 0.5, 1:2, 1⁄2
Proportion - ANSWER An equation that states that two ratios are equal.
Correct Answers Latest Update
Comutative Property - ANSWER States that two or more numbers can be added or
multiplied in any order and still arrive at the same sum or product. i.e. 8 + 20 = 20 + 8 7 •
12 = 12 • 7
Distributive Property - ANSWER If you multiply a sum by number, you will get the same
result if you multiply each addend by that number and then add the products. i.e. 4(7 + 6)
= 4(7) + 4(6)
Exponent - ANSWER A raised number that tells the power of the base.
i.e. 43 = 4 • 4 • 4 = 64
62 = 6 • 6 = 36
Identity Property - ANSWER Has 2 parts. The sum of any number and Zero is that
number. The product of any number and One is that number. i.e. 8 + 0 = 8
45(1) = 45
Inequality - ANSWER A mathematical sentence that shows the relationship between
quantities that are not equivalent.
i.e. 5‹8
5b + 2 ≥ 12
Integers - ANSWER The set of positive whole numbers, negative whole numbers and
zero.
i.e. .-4, -3, -2, -1, 0, 1, 2, 3, 4
, Irrational Number - ANSWER A number that cannot be expressed as a ratio of two
integers or as a repeating or terminating decimal.
i.e. 4.45683127406792103694396.
∏ = 3.14159265358979323846.
Mean - ANSWER For a numerical data set, the sum of all the data divided by the number
of data items.
i.e. Find the mean for the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
1. 12+45+32+15+40+25+29+49+22+27+31+33+31 = 391
2. 391 ÷ 13 = 30.076923
3. Round to the hundredths place = 30.08
Median - ANSWER The middle item in a data set ordered from least to greatest.
i.e. Find the median of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
1. Put data in order from least to greatest
12, 15, 22, 25, 27, 29, 31, 31, 32, 33, 40, 45, 49
2. Middle # 31
Mode - ANSWER The item or items that occur most in a data set.
i.e. What is the mode of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33,
31
The # that appears the most is 31.
Probability - ANSWER A number from 0 to 1 that tells how likely an event is to happen.
i.e. What is the probability that I will get "heads" when I flip a coin?
1 out of 2, 50%, 0.5, 1:2, 1⁄2
Proportion - ANSWER An equation that states that two ratios are equal.