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Civil service exam prep!!! Questions And Answers 2023
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Civil service exam prep!!! Questions And Answers 2023
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Civil service exam prep!!! Questions AndAnswers 2023
Numerator - correct answer-The whole number that appears on the top of a fraction. ?/D
Denominator - correct answer-The number that appears on the bottom of the fraction. N/?
Proper fraction - correct answer-The numerator is smaller than the denominator. Ex. 1/2
Improper fraction - correct answer-The numerator is larger than the denominator.
Ex. 2/1
Mixed numbers - correct answer-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 answer-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 answer-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 answer-
Whenever you are asked to multiply or divide mixed numbers
How do you reduce a fraction? - correct answer-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 answer-Is, are, has, was, were, had
Key words for addition? - correct answer-Sum, together, more, total, greater, or older than
Key word for multiplication? - correct answer-Product, times, of
Keywords of division? - correct answer-Per, evenly
Key words of subtraction? - correct answer-Difference, less than, fewer, or younger than, remain, left over
example of key words for subtraction. Jacob has 5 fewer than Leslie? - correct answer-
Would be Leslie-5=Jacob
Distance formula problems include key words such as? - correct answer-speed, plane, train, boat, car, walk, run, climb, and swim
Distance Formula - correct answer-Rate x Time = Distance
Key word in the distance formula provide 2 of the 3 elements - correct answer-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 answer-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 answer-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 answer-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 answer-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 answer-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 answer-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 answer-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 answer-You must convert the improper fraction into a mixed number
4/7 + 6/7 = 10/7 so converted into a mixed number it would be 1 3/7
when can you not add fraction? - correct answer-You cannot add fractions unless it has a common denominator
how to find a common denominator - correct answer-Look at the denominators of all the
fractions in the problem. Do they all divide evenly into the largest denominator? If they do that number is your common denominator. If they don't, run through the multiplication
table of the largest denominator until you find a number that all the other denominators divide into evenly. Ex. 2/3 + 1/5 =
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