CIVIL SERVICE EXAM | 2026/2027 LATEST UPDATE |
COMPREHENSIVE QUESTIONS AND VERIFIED ANSWERS |
GRADED A+
numerator - ANSWER the whole number that appears on the top of a fraction
denominator - ANSWER the number that appears on the bottom of the fraction
proper fraction - ANSWER the numerator is smaller than the denominator
improper fraction - ANSWER the numerator is larger than the denominator
mixed numbers - ANSWER a mixed number consists of a whole number and a proper fraction. an
improper fraction can be written into a mixed number.
converting an improper fraction into a mixed number - ANSWER divide the numerator by the
denominator. the result will be a whole number, with or without a reminder. write the whole
number. if there is a remainder, write a faction with the remainder in the numerator and the original
denominator in the denominator.
converting a mixed number into an improper fraction - ANSWER multiply the whole number in the
mixed number by the denominator of the fraction. add the result to the numerator of the fraction
when to convert mixed numbers into improper fractions - ANSWER whenever you are asked to
multiply or divide mixed numbers
reducing a fraction - ANSWER you reduce a fraction by dividing both the numerator and the
denominator by a single value that divides evenly into both of them
key words for equal - ANSWER is, are, has, was, were, had. (these words indicate equality or
equivalence in equations or statements.
key words for addition - ANSWER sum, together, more, total, greater, or older than (these words
suggest combining values, indication an addition operation
, key words for multiplication - ANSWER product, times, of (these words are often used to describe
multiplication operations, reflection repeated addition.
key words for division - ANSWER per, evenly (these terms imply diving a quantity into equal parts,
indicative of division)
key words for subtraction - ANSWER difference, less than, fewer, or younger than, remain, left over (
these words are associated with taking away or comparing quantities, indication subtraction) ex.
Jacob has 5 fewer than Leslie
key words in distance formula problems - ANSWER speed, plane. train. boat. car. walk. run. climb,
swim. ( these key words often indicate movement and are used to identify distance problems,
Involving the distance formula
distance formula - ANSWER rate x time= distance
key elements in distance formula - ANSWER rate, time, distance ( these elements are the
components needed to solve for distance, rate, or time in distance related problems.
solving word problems - ANSWER translate the problem into an algebraic equation and then solve for
the missing information; work back ways by plugging in one of the ANSWER choices
divisibility trick for 3 - ANSWER add all of its digits. if the sum of the digit is divisible by 3, the number
itself is divisible by 3 ( this shortcut simplifies checking a numbers divisibility by 3, using a basic sum
of digits.
raising fractions to higher terms - ANSWER it allows you to rewrite a fraction with a larger numerator
and denominator
adding fractions with common denominators - ANSWER simply just ass the numerators and write the
results over the denominator. do not add the denominators
adding mixed number - ANSWER add the whole number together, and then add the numerators
together and place them over the denominators. do not add the denominator
COMPREHENSIVE QUESTIONS AND VERIFIED ANSWERS |
GRADED A+
numerator - ANSWER the whole number that appears on the top of a fraction
denominator - ANSWER the number that appears on the bottom of the fraction
proper fraction - ANSWER the numerator is smaller than the denominator
improper fraction - ANSWER the numerator is larger than the denominator
mixed numbers - ANSWER a mixed number consists of a whole number and a proper fraction. an
improper fraction can be written into a mixed number.
converting an improper fraction into a mixed number - ANSWER divide the numerator by the
denominator. the result will be a whole number, with or without a reminder. write the whole
number. if there is a remainder, write a faction with the remainder in the numerator and the original
denominator in the denominator.
converting a mixed number into an improper fraction - ANSWER multiply the whole number in the
mixed number by the denominator of the fraction. add the result to the numerator of the fraction
when to convert mixed numbers into improper fractions - ANSWER whenever you are asked to
multiply or divide mixed numbers
reducing a fraction - ANSWER you reduce a fraction by dividing both the numerator and the
denominator by a single value that divides evenly into both of them
key words for equal - ANSWER is, are, has, was, were, had. (these words indicate equality or
equivalence in equations or statements.
key words for addition - ANSWER sum, together, more, total, greater, or older than (these words
suggest combining values, indication an addition operation
, key words for multiplication - ANSWER product, times, of (these words are often used to describe
multiplication operations, reflection repeated addition.
key words for division - ANSWER per, evenly (these terms imply diving a quantity into equal parts,
indicative of division)
key words for subtraction - ANSWER difference, less than, fewer, or younger than, remain, left over (
these words are associated with taking away or comparing quantities, indication subtraction) ex.
Jacob has 5 fewer than Leslie
key words in distance formula problems - ANSWER speed, plane. train. boat. car. walk. run. climb,
swim. ( these key words often indicate movement and are used to identify distance problems,
Involving the distance formula
distance formula - ANSWER rate x time= distance
key elements in distance formula - ANSWER rate, time, distance ( these elements are the
components needed to solve for distance, rate, or time in distance related problems.
solving word problems - ANSWER translate the problem into an algebraic equation and then solve for
the missing information; work back ways by plugging in one of the ANSWER choices
divisibility trick for 3 - ANSWER add all of its digits. if the sum of the digit is divisible by 3, the number
itself is divisible by 3 ( this shortcut simplifies checking a numbers divisibility by 3, using a basic sum
of digits.
raising fractions to higher terms - ANSWER it allows you to rewrite a fraction with a larger numerator
and denominator
adding fractions with common denominators - ANSWER simply just ass the numerators and write the
results over the denominator. do not add the denominators
adding mixed number - ANSWER add the whole number together, and then add the numerators
together and place them over the denominators. do not add the denominator
