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PEARSON MATH QUESTIONS AND ANSWERS WITH SOLUTIONS 2024
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PEARSON MATH QUESTIONS ANDANSWERS WITH SOLUTIONS 2024
commutative property - ANSWER 2*5=5*2 Same regardless of the order of the factors
(addition and multiplication follow this law)
Associative property - ANSWER (2*5)*3=2*(5*3) same regardless of grouping
(addition and multiplication follow this law)
Distributive property - ANSWER 2*(3+4)= (2*3)+(2*4)=14 multiplying a sum by a number is the same as
multiplying each addend by the number and then adding the products.
Zero Property - ANSWER 3+0=3 and 3*0=0 sum of a number and 0 is the number. Multiplication, the
product of a number and 0 is 0.
integers - ANSWER set of positive and negative numbers including zero. integers do not include fractions,
decimals, or mixed numbers (7-3/4)
Prime number - ANSWER whole number greater than 1 that has only two factors, itself and 1. can be
divided only even by 1 and its self.
composite number - ANSWER a whole number greater than 1 that has more than 2 different factors. any
number not prime.
Rational numbers - ANSWER set of whole numbers, integers, decimals, and fractions. Rationals numbers
can be expressed as either a negative or positive value. any terminating decimal that can be expressed as
a fraction is a rational number. ex/ 45.6 can be written as 456/10
irrational numbers - ANSWER numbers that are not rational. ex/ square root of 2 they cannot be written
as fractions or decimals because the number of decimal places is infinite and a recurring pattern does
not exist with the number.
,real numbers - ANSWER set of all rational and irrational numbers and are used in all applications of
measuring, comparing, counting, or determining quantities.
Factors - ANSWER numbers multiplied together to obtain a product 2*3=6 2 and 3 are factors
common factor - ANSWER number that divides exactly into two or more other numbers. ex/ the factors
of 12 are 1,2,3,4,6, and 12. factors of 15 are 1,3,5, and 15 so common factors are 1 and 3.
prime factor - ANSWER ex/ prime factors of 12 are 2 and 3. ex/prime factor of 15 are 3 and 5
numerator - ANSWER top number of fraction
denominator - ANSWER bottom number of fraction
undefined fraction - ANSWER zero in the denominator (3/0)
binary or base two system - ANSWER only used numbers 0 and 1
PEMDAS - ANSWER order of operation- Parentheses, exponents, multiplication,division, addition,
subtraction
cardinal numbers - ANSWER numbers used for counting
ordinal numbers - ANSWER show position 1st, 2nd,...
least common denominator (LCD) - ANSWER ex/ lowest common denominator for 2/3 and 4/9 is 9 so the
fraction can be expressed as 6/9 and 4/9 for easier comparison.
greatest common factor (GCF) - ANSWER factors of 15 are 1,3,5, and 15 and factors of 35 are 1,5, 7, and
35. so the GCF is 5.
, least common multiple (LCM) - ANSWER multiples of 3 are 3,6,9,12,15 ... multiple of 5 are 5, 10,15,20..
so LCM of 3 and 5 are 15.
Equivalent fractions - ANSWER 1/5 same as 5/25
common or simple fractions - ANSWER fractions at their simplest form ex/ 1/2 or 5/7
mixed numbers - ANSWER integer and fraction 4-1/5
express fraction as percent - ANSWER %=100*3/5=300/5=60 therefor 3/5=60%
express percent as fraction - ANSWER 96%=96/100 =24/25
show decimals to fractions and fractions to decimals - ANSWER 0.23=23% 5.34=534% or 700%=7.0,
86%=.86
story problem - ANSWER find 30% of 33 take .3*33=9.9 so 9.9 is 30% of 33
story problem - ANSWER 7 pizza, 9 hamburgers, 4 tocos. whats the percent of tocos. so 7+9+4=20 so
4/20 eat tocos or 20/100 or 20%
mean - ANSWER sum of values / number of values
median - ANSWER 1,2,3,4,4,5,5,5,6,7 4+5=9/2=4.5 median
mode - ANSWER most common number in set. can be more than one mode
absolute value - ANSWER distance from zero so -3 and 3 have the same absolute value
exponents - ANSWER a^n*a^m= a^(n+m)
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