Civil Service Enhanced Test
With Official Questions and
Answers 2025/2026
Numerator - Correct Answers-The whole number that appears on the top of a
fraction.
?/D
Denominator - Correct Answers-The number that appears on the bottom of
the fraction.
N/?
Proper fraction - Correct Answers-The numerator is smaller than the
denominator.
Ex. 1/2
Improper fraction - Correct Answers-The numerator is larger than the
denominator.
Ex. 2/1
Mixed numbers - Correct Answers-A mixed number consists of a whole
number and a proper fraction. A improper fraction can be written into a
mixed number.
How do you convert an improper fraction into a mixed number? - Correct
Answers-1. Divide the numerator by the denominator. The result will be a
whole number, with or without a remainder.
2. Write the whole number.
3. If there is a remainder, write a fraction with the remainder in the
numerator and the original denominator in the denominator.
Ex. Convert 17/5 to a mixed number?
17/5=3 with a remainder of 2
17/5=3 2/5
,How do you convert a mixed number into a improper fraction? - Correct
Answers-1. Multiply the whole number in the mixed number by the
denominator of the fraction.
2. Add the result to the numerator of the fraction.
Ex. Convert 5 1/6 to an improper fraction.
5x6= 30
30+1= 31
5 1/6= 31/6
When should you convert mixed numbers into improper fractions? - Correct
Answers-Whenever you are asked to multiply or divide mixed numbers
How do you reduce a fraction? - Correct Answers-You reduce a fraction by
dividing both the numerator and the denominator by a single value that
divides evenly into both of them.
Ex. Reduce 5/10?
Both 5 and 10 are divisible by 5
5/5=1
10/5=2
5/10= 1/2
Key words for equal? - Correct Answers-Is, are, has, was, were, had
Key words for addition? - Correct Answers-Sum, together, more, total,
greater, or older than
Key word for multiplication? - Correct Answers-Product, times, of
Keywords of division? - Correct Answers-Per, evenly
Key words of subtraction? - Correct Answers-Difference, less than, fewer, or
younger than, remain, left over
example of key words for subtraction. Jacob has 5 fewer than Leslie? -
Correct Answers-Would be Leslie-5=Jacob
Distance formula problems include key words such as? - Correct Answers-
speed, plane, train, boat, car, walk, run, climb, and swim
, Distance Formula - Correct Answers-Rate x Time = Distance
Key word in the distance formula provide 2 of the 3 elements - Correct
Answers-rate, time, distance
Plug those 2 elements into the formula and solve for the third
Rate and time have to be measured into common units - Correct Answers-If
the rate is measured in miles per hour, the time has to be measured in
hours, not minutes or days
2 ways to solve word problems - Correct Answers-1. Translate the problem
into an algebraic equation and then solve for the missing information
2. Work backwards by plugging in one of the answer choices
A neat trick to see if a number is divisible by 3. - Correct Answers-Add all of
its digits. If the sum of the digits is divisible by 3, the number itself is
divisible by 3.
Ex. Is 132 divisible by 3?
1+3+2=6 6/3=2
Which means that 132 is divisible by 3. This method also works for 9.
Raising fraction to higher terms - Correct Answers-It allows you to rewrite a
fraction with a larger numerator and denominator
When would you usually have to raise a fraction to higher terms - Correct
Answers-you often have to raise one or more fractions to higher terms in
order to add or subtract them
How to add fractions that have common denominators - Correct Answers-
simply just add the numerators and write the result over the denominator.
Do not add the denominators
Ex. 3/12+6/12= 9/12
How to add mixed numbers - Correct Answers-add the whole numbers
together, and then add the numerators together and place them over the
denominators. Do not add the denominators.
Ex. 3 3/12 + 6 3/12= 9 6/12 Reduced equals 9 1/2
If the sum of the 2 fractions happen to be an improper fraction - Correct
Answers-You must convert the improper fraction into a mixed number
With Official Questions and
Answers 2025/2026
Numerator - Correct Answers-The whole number that appears on the top of a
fraction.
?/D
Denominator - Correct Answers-The number that appears on the bottom of
the fraction.
N/?
Proper fraction - Correct Answers-The numerator is smaller than the
denominator.
Ex. 1/2
Improper fraction - Correct Answers-The numerator is larger than the
denominator.
Ex. 2/1
Mixed numbers - Correct Answers-A mixed number consists of a whole
number and a proper fraction. A improper fraction can be written into a
mixed number.
How do you convert an improper fraction into a mixed number? - Correct
Answers-1. Divide the numerator by the denominator. The result will be a
whole number, with or without a remainder.
2. Write the whole number.
3. If there is a remainder, write a fraction with the remainder in the
numerator and the original denominator in the denominator.
Ex. Convert 17/5 to a mixed number?
17/5=3 with a remainder of 2
17/5=3 2/5
,How do you convert a mixed number into a improper fraction? - Correct
Answers-1. Multiply the whole number in the mixed number by the
denominator of the fraction.
2. Add the result to the numerator of the fraction.
Ex. Convert 5 1/6 to an improper fraction.
5x6= 30
30+1= 31
5 1/6= 31/6
When should you convert mixed numbers into improper fractions? - Correct
Answers-Whenever you are asked to multiply or divide mixed numbers
How do you reduce a fraction? - Correct Answers-You reduce a fraction by
dividing both the numerator and the denominator by a single value that
divides evenly into both of them.
Ex. Reduce 5/10?
Both 5 and 10 are divisible by 5
5/5=1
10/5=2
5/10= 1/2
Key words for equal? - Correct Answers-Is, are, has, was, were, had
Key words for addition? - Correct Answers-Sum, together, more, total,
greater, or older than
Key word for multiplication? - Correct Answers-Product, times, of
Keywords of division? - Correct Answers-Per, evenly
Key words of subtraction? - Correct Answers-Difference, less than, fewer, or
younger than, remain, left over
example of key words for subtraction. Jacob has 5 fewer than Leslie? -
Correct Answers-Would be Leslie-5=Jacob
Distance formula problems include key words such as? - Correct Answers-
speed, plane, train, boat, car, walk, run, climb, and swim
, Distance Formula - Correct Answers-Rate x Time = Distance
Key word in the distance formula provide 2 of the 3 elements - Correct
Answers-rate, time, distance
Plug those 2 elements into the formula and solve for the third
Rate and time have to be measured into common units - Correct Answers-If
the rate is measured in miles per hour, the time has to be measured in
hours, not minutes or days
2 ways to solve word problems - Correct Answers-1. Translate the problem
into an algebraic equation and then solve for the missing information
2. Work backwards by plugging in one of the answer choices
A neat trick to see if a number is divisible by 3. - Correct Answers-Add all of
its digits. If the sum of the digits is divisible by 3, the number itself is
divisible by 3.
Ex. Is 132 divisible by 3?
1+3+2=6 6/3=2
Which means that 132 is divisible by 3. This method also works for 9.
Raising fraction to higher terms - Correct Answers-It allows you to rewrite a
fraction with a larger numerator and denominator
When would you usually have to raise a fraction to higher terms - Correct
Answers-you often have to raise one or more fractions to higher terms in
order to add or subtract them
How to add fractions that have common denominators - Correct Answers-
simply just add the numerators and write the result over the denominator.
Do not add the denominators
Ex. 3/12+6/12= 9/12
How to add mixed numbers - Correct Answers-add the whole numbers
together, and then add the numerators together and place them over the
denominators. Do not add the denominators.
Ex. 3 3/12 + 6 3/12= 9 6/12 Reduced equals 9 1/2
If the sum of the 2 fractions happen to be an improper fraction - Correct
Answers-You must convert the improper fraction into a mixed number
