Q 1 Mathematics Decimal Fractions Mixed Number To Decimal
The fraction 101 27/100000 in decimal form is:
View answer & explanation Ans: 101.00027
Correct Answer: 101.00027
27/100000 = 0.00027, so 101 + 0.00027 = 101.00027.
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Arithmetic: Decimal Fractions — Solved MCQs Solved MCQs
Solved decimal fractions MCQs — 25 questions on comparing fractions, recurring decimals, decimal addition, subtraction, multiplication and division, simplification and powers of ten, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers decimal fractions.
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25
Time
25
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Subjects
1
Topics
11
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: Decimal Fractions solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 25 questions (book pp. 765-767) on comparing fractions, recurring decimals, decimal addition, subtraction, multiplication and division, simplification and powers of ten. Every answer was re-solved from scratch and checked against the book's printed Answer Key on p. 767; one key error was corrected (the smallest fraction is 13/16, not the keyed 15/9) and eight print or wording defects were retained at the key and flagged.
mathematics-mcqs arithmetic-decimal-fractions decimal-fractions-mcqs recurring-decimals-mcqs comparing-fractions-mcqs fpsc-past-papers mathematics ppsc nts css-mpt one-paper-exams basic-arithmetic
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Arithmetic: Decimal Fractions — Solved MCQs
Read mode 25 MCQs · 25 minutes
Subject 1
Mathematics
1
Topic Section
Decimal Fractions Mixed Number To Decimal
1 solved MCQs shown directly below
2
Topic Section
Decimal Fractions Recurring Decimals
3 solved MCQs shown directly below
Q 2 Mathematics Decimal Fractions Recurring Decimals
When 0.36 recurring is written in simplest fractional form, the sum of the numerator and the denominator is:
View answer & explanation Ans: 15
Correct Answer: 15
The recurring decimal 0.3636... equals 36/99, which simplifies to 4/11, so the numerator and denominator sum to 4 + 11 = 15.
Q 20 Mathematics Decimal Fractions Recurring Decimals
The rational number for the recurring decimal 0.125125 is:
View answer & explanation Ans: 125/999
Correct Answer: 125/999
The recurring block 125 repeats, so 0.125125... equals 125/999.
Q 21 Mathematics Decimal Fractions Recurring Decimals
When 0.47 recurring is converted into a fraction, the result is:
View answer & explanation Ans: 47/99
Correct Answer: 47/99
The recurring decimal 0.4747... equals 47/99.
3
Topic Section
Decimal Fractions Units And Conversion
1 solved MCQs shown directly below
Q 3 Mathematics Decimal Fractions Units And Conversion
What decimal of an hour is a second?
View answer & explanation Ans: .00027
Correct Answer: .00027
One second is 1/3600 of an hour, which is 0.000277... hour, given in the book as .00027.
4
Topic Section
Decimal Fractions Comparing Fractions
5 solved MCQs shown directly below
Q 4 Mathematics Decimal Fractions Comparing Fractions
What is difference between the biggest and the smallest fraction among 2/3, 3/4, 4/5 and 5/6?
View answer & explanation Ans: 1/6
Correct Answer: 1/6
The biggest fraction is 5/6 and the smallest is 2/3, so the difference is 5/6 - 2/3 = 1/6.
Q 5 Mathematics Decimal Fractions Comparing Fractions
Which of the following fractions is the smallest?
View answer & explanation Ans: 13/16
Correct Answer: 13/16
In decimals the fractions are 1.667, 0.875, 1.417 and 0.8125, so the smallest is 13/16. The book key (a) 15/9 is the largest, not the smallest, and is overridden here.
Q 6 Mathematics Decimal Fractions Comparing Fractions
Which of the following fractions is greater than 3/4 and less than 5/6?
View answer & explanation Ans: 4/5
Correct Answer: 4/5
4/5 = 0.8, which lies between 3/4 = 0.75 and 5/6 = 0.833.
Q 7 Mathematics Decimal Fractions Comparing Fractions
Which of the following fractions is less than 7/8 and greater than 1/3?
View answer & explanation Ans: 17/24
Correct Answer: 17/24
17/24 = 0.708, which lies between 1/3 = 0.333 and 7/8 = 0.875. Note that (d) 13/25 = 0.52 also lies in this interval, so the item as printed is not unique; it is retained at the book key (c).
Q 8 Mathematics Decimal Fractions Comparing Fractions
Which of the following numbers does not lie between 4/5 and 7/13?
View answer & explanation Ans: 1/2
Correct Answer: 1/2
The interval runs from 7/13 = 0.538 to 4/5 = 0.8; 1/2 = 0.5 lies outside it, while 2/3 and 3/4 lie inside.
5
Topic Section
Decimal Fractions Addition
2 solved MCQs shown directly below
Q 9 Mathematics Decimal Fractions Addition
Find the sum: 337.62 + 8.591 + 34.4 = ?
View answer & explanation Ans: 380.611
Correct Answer: 380.611
337.62 + 8.591 + 34.4 = 380.611.
Q 10 Mathematics Decimal Fractions Addition
Evaluate: 34.95 + 240.016 + 23.98 = ?
View answer & explanation Ans: 298.946
Correct Answer: 298.946
34.95 + 240.016 + 23.98 = 298.946.
6
Topic Section
Decimal Fractions Subtraction
3 solved MCQs shown directly below
Q 11 Mathematics Decimal Fractions Subtraction
Evaluate: 48.95 - 32.006 ?
View answer & explanation Ans: 16.944
Correct Answer: 16.944
48.95 - 32.006 = 16.944.
Q 12 Mathematics Decimal Fractions Subtraction
Evaluate: 892.7 - 573.07 - 95.007 = ?
View answer & explanation Ans: 224.623
Correct Answer: 224.623
892.7 - 573.07 - 95.007 = 224.623.
Q 13 Mathematics Decimal Fractions Subtraction
832.58 - 242.31 - 779.84 = ?
View answer & explanation Ans: 189.57
Correct Answer: 189.57
The subtraction gives -189.57, whose magnitude is 189.57; the book key drops the sign, and the keyed option is retained with that note.
7
Topic Section
Decimal Fractions Powers Of Ten
1 solved MCQs shown directly below
Q 14 Mathematics Decimal Fractions Powers Of Ten
Which of the following is equal to 3.14 x 10^6?
View answer & explanation Ans: 3140000
Correct Answer: 3140000
3.14 x 10^6 = 3.14 x 1000000 = 3140000.
8
Topic Section
Decimal Fractions Multiplication
3 solved MCQs shown directly below
Q 15 Mathematics Decimal Fractions Multiplication
How many digits will be there to the right of the decimal point in the product of 95.75 and .02554?
View answer & explanation Ans: 6
Correct Answer: 6
95.75 has 2 decimal places and .02554 has 5, giving 7 places nominally, but the product is 2.4454550, whose trailing zero drops, leaving 6 digits after the decimal point.
Q 24 Mathematics Decimal Fractions Multiplication
Evaluate: 0.002 x 0.5 = ?
View answer & explanation Ans: 0.001
Correct Answer: 0.001
0.002 x 0.5 = 0.001.
Q 25 Mathematics Decimal Fractions Multiplication
Simplify: 0.014 x 0.014 = ?
View answer & explanation Ans: 0.000196
Correct Answer: 0.000196
14 x 14 = 196, and with 3 + 3 = 6 decimal places the product is 0.000196.
9
Topic Section
Decimal Fractions Approximation
1 solved MCQs shown directly below
Q 16 Mathematics Decimal Fractions Approximation
Which is the closest approximation to the product 0.333 x 0.25 x 0.499 x 0.125 x 24?
View answer & explanation Ans: 1/8
Correct Answer: 1/8
Approximating the factors as 1/3, 1/4, 1/2 and 1/8 gives (1/3) x (1/4) x (1/2) x (1/8) x 24 = 1/8.
10
Topic Section
Decimal Fractions Division
3 solved MCQs shown directly below
Q 17 Mathematics Decimal Fractions Division
Evaluate: 0.213 / 0.00213 = ?
View answer & explanation Ans: 100
Correct Answer: 100
0.213 / 0.00213 = 100, since 0.00213 x 100 = 0.213.
Q 18 Mathematics Decimal Fractions Division
4.036 divided by 0.04 gives:
View answer & explanation Ans: 100.9
Correct Answer: 100.9
4.036 / 0.04 = 403.6 / 4 = 100.9.
Q 19 Mathematics Decimal Fractions Division
1/0.04 is equal to:
View answer & explanation Ans: 25
Correct Answer: 25
1 / 0.04 = 100 / 4 = 25.
11
Topic Section
Decimal Fractions Simplification
2 solved MCQs shown directly below
Q 22 Mathematics Decimal Fractions Simplification
Evaluate: (4.2 x 4.2 - 1.9 x 1.9)/(2.3 x 6.1) = ?
View answer & explanation Ans: 1
Correct Answer: 1
The numerator is 17.64 - 3.61 = 14.03 and the denominator is 2.3 x 6.1 = 14.03, so the value is 1.
Q 23 Mathematics Decimal Fractions Simplification
Simplify: (5.32 x 56 + 5.32 x 44)/((7.66)^2 - (2.34)^2) :
View answer & explanation Ans: 10
Correct Answer: 10
The numerator is 5.32 x (56 + 44) = 532 and the denominator is (7.66 - 2.34) x (7.66 + 2.34) = 5.32 x 10 = 53.2, so the value is 532 / 53.2 = 10.
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Paper practice FAQs
How many questions are in the Arithmetic: Decimal Fractions MCQ bank? +
25 questions, all 25 printed in the book published. No item was dropped.
What does the Arithmetic: Decimal Fractions bank cover? +
Comparing fractions and finding the biggest, smallest or in-between fraction, recurring decimals and their fractional forms, decimal addition, subtraction, multiplication and division, simplification using factorisation, approximation of products, and powers of ten.
Are the answers verified? +
Yes. Every answer was re-solved from scratch — fraction values in decimals, recurring decimals over 99 and 999, decimal-place counting with trailing-zero trimming, and the (a squared minus b squared) identity — and checked against the book's printed Answer Key on p. 767. One key error was corrected to the standard answer and eight retained defects are flagged in the working notes.
Which other exams does this bank help with? +
Decimal-fraction problems appear in the arithmetic and general-ability sections of FPSC, PPSC, NTS, PTS and CSS MPT one-paper exams, so the same methods apply across all of them.