HSPT Math Review Exam Questions with
100% Correct Answers
Commutative 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 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 - 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
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, 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 ✔✔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 - 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
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100% Correct Answers
Commutative 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 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 - 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
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COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER:
619652435. TERMS OF USE. PRIVACY STATEMENT. ALL RIGHTS RESERVED
, 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 ✔✔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 - 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
Page 2 of 13
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