HSPT Math Review Questions & Correct Expert Answers
Commutative Property - Correct 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 - Correct Answer If you multiply a sum by a 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 - Correct Answer A raised number that tells the power of the base.
i.e. 43 = 4 • 4 • 4 = 64
62 = 6 • 6 = 36
Identity Property - Correct 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 - Correct Answer A mathematical sentence that shows the relationship between quantities
that are not equivalent.
i.e. 5‹8
5b + 2 ≥ 12
Integers - Correct 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 - Correct 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 - Correct Answer In a numerical data set, the sum of all the data divided by the number of data
items.
, i.e. Find the mean of 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 - Correct 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. Arrange data from least to greatest
12, 15, 22, 25, 27, 29, 31, 31, 32, 33, 40, 45, 49
2. Find the center # 31
Mode - Correct Answer The item or items that appear the most often in a data set.
i.e. Find 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 - Correct 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 - Correct Answer An equation that states that two ratios are equivalent.
i.e. 5 = 25
12 60
Range - Correct Answer The difference between the greatest data value and the least data value in a
data set. i.e. Find the range of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
The largest data item is 49. The smallest data item is 12. Subtract the two: 49 - 12 = 37. Therefore the
range is 37 for this data set.
Rational Number - Correct Answer Any number that can be expressed as a ratio of two integers.
i.e. 6 can be expressed as 6, and 0.5 as 1.
