Olympiad Mathematics - Fractions and Decimals
Exam Duration: 45 Mins Total Questions : 30
What is the sum of \(\frac { 3 }{ 4 } ,\ \frac { 7 }{ 6 } \ and\quad 1\frac { 3 }{ 5 } ?\)
- (a)
\(3\frac { 1 }{ 2 } \)
- (b)
\(3\frac { 31 }{ 60 } \)
- (c)
\(2\frac { 13 }{ 60 } \)
- (d)
\(\frac { 412 }{ 120 } \)
Which of the following is a proper fraction?
- (a)
\(\frac { 28 }{ 15 } \)
- (b)
\(\frac { 21 }{ 23 } \)
- (c)
\(\frac { 16 }{ 7 } \)
- (d)
\(\frac { 34 }{ 3 } \)
What is \(\frac { 1 }{ 7 } \) of 49 litres?
- (a)
1 l
- (b)
5 l
- (c)
7 l
- (d)
6 l
What are fractions with different denominators called?
- (a)
Like
- (b)
Unlike
- (c)
Proper
- (d)
Improper
What is the equivalent fraction of \(\frac { 8 }{ 11 } \) having the numberator 40?
- (a)
\(\frac { 40 }{ 11 } \)
- (b)
\(\frac { 44 }{ 40 } \)
- (c)
\(\frac { 40 }{ 55 } \)
- (d)
\(\frac { 10 }{ 40 } \)
In which of the following does the shaded part represent one third of its whole?
- (a)
- (b)
- (c)
- (d)
Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What is the total number of chocolates that she has eaten?
- (a)
\(\frac { 4 }{ 5 } \)
- (b)
\(\frac { 3 }{ 5 } \)
- (c)
\(\frac { 8 }{ 5 } \)
- (d)
\(\frac { 8 }{ 10 } \)
Look at the alphabets given.
P R A S A D
What fraction of alphabets are made of 3 straight lines?
- (a)
\(\frac { 1 }{ 3 } \)
- (b)
\(\frac { 1 }{ 6 } \)
- (c)
\(\frac { 2 }{ 5 } \)
- (d)
\(\frac { 5 }{ 6 } \)
Which of the following is an improper fraction?
- (a)
- (b)
- (c)
- (d)
Which of the following statements is true?
- (a)
Fractions with the same numerator are called like fractions.
- (b)
Fractions with the same denominator are called unlike fractions.
- (c)
Difference of two like fractions = \(\frac { difference\ of\ numerators }{ common\ denominator } \)
- (d)
A fraction with the numerator greater than or equal to the denominator is called a proper fraction.
Which figure shows \(\frac { 1 }{ 10 } \) shaded?
- (a)
- (b)
- (c)
- (d)
What is the place value of 3 in 9.365?
- (a)
3
- (b)
30
- (c)
\(\frac { 3 }{ 10 } \)
- (d)
\(\frac { 3 }{ 1000 } \)
What is the decimal fraction shown by the shaded part of the figure given?
- (a)
2.5
- (b)
0.5
- (c)
0.6
- (d)
0.4
If the cost of \(5\frac { 2 }{ 5 } \) litres of milk is Rs 101\(\frac { 1 }{ 4 } \),what is its cost per litre?
- (a)
Rs \(18\frac { 3 }{ 4 } \)
- (b)
Rs 17\(\frac { 3 }{ 4 } \)
- (c)
Rs 16\(\frac { 3 }{ 4 } \)
- (d)
Rs 15\(\frac { 3 }{ 4 } \)
The product of two decimals is 1.5008. If one of them is 0.56, what is the other?
- (a)
2.86
- (b)
26.8
- (c)
2.68
- (d)
0.268
A badminton player won 6 games and lost 4.What fraction of the games did he win?
- (a)
\(\frac { 6 }{ 4 } \)
- (b)
\(\frac { 4 }{ 6 } \)
- (c)
\(\frac { 6 }{ 10 } \)
- (d)
\(\frac { 5 }{ 10 } \)
What is the value of \(3\frac { 1 }{ 12 } -\left[ 1\frac { 3 }{ 4 } +\left\{ 2\frac { 1 }{ 2 } -\left( 1\frac { 1 }{ 2 } -\frac { 1 }{ 3 } \right) \right\} \right] ?\)
- (a)
0.5
- (b)
2
- (c)
1
- (d)
0
How is the fractional number for 5 out of 7 written?
- (a)
\(\frac { 5 }{ 7 } \)
- (b)
\(\frac { 7 }{ 5 } \)
- (c)
\(\frac { 4 }{ 7 } \)
- (d)
\(\frac { 4 }{ 5 } \)
If 40-\(\frac { 1 }{ 5 } \times P=0\), then what is the value of P?
- (a)
0
- (b)
\(\frac { 1 }{ 5 } \)
- (c)
\(\frac { 199 }{ 5 } \)
- (d)
200
Find the perimeter of :
(i) \(\triangle ABC\)
(ii) Rectangle BCDE
- (a)
\(8\frac{1}{60}\ cm\ 5\ cm\)
- (b)
\(5\ cm10\frac{1}{6}\ cm\)
- (c)
\(8\frac{1}{60}\ cm10\frac{1}{5}\ cm\)
- (d)
8cm 23cm
The value of
\((1-\frac{1}{2})(1-\frac{1}{3})(1-\frac{1}{4})....(1-\frac{1}{10})=\)______.
- (a)
\(\frac{10}{11}\)
- (b)
\(\frac{1}{9}\)
- (c)
\(\frac{1}{10}\)
- (d)
\(\frac{1}{2}\)
The vulgar fraction of 0.231 can be expressed as_____.
- (a)
\(\frac{229}{990}\)
- (b)
\(\frac{229}{900}\)
- (c)
\(\frac{231}{1000}\)
- (d)
\(\frac{231}{999}\)
If we multiply a fraction by itself, the fraction thus obtained is \(\frac{16}{81}\).The original fraction is_______.
- (a)
\(\frac{8}{27}\)
- (b)
\(2\frac{2}{3}\)
- (c)
\(1\frac{1}{3}\)
- (d)
\(\frac{4}{9}\)
How many more unit squares in the figure must be shaded so that the fraction of shaded squares is \(\frac{7}{9}?\)
- (a)
1
- (b)
3
- (c)
6
- (d)
8
Evaluate:\(\frac{2\frac{5}{4}-4\frac{7}{6}+3\frac{1}{3}}{0.087+0.3717\div0.9}\)
- (a)
2.833
- (b)
0.28
- (c)
0.000028
- (d)
0.00028
When 40257 is divided by 213, the quotient is 189, what will be the quotient when 40.257 is divided by 0.0189?
- (a)
21300
- (b)
213
- (c)
1890
- (d)
2130
54.327 x 357.2 x 0.0057 is the same as
- (a)
5.4327 x 3.572 x 5.7
- (b)
5.4327 x 3.572 x 0.57
- (c)
54327 x 3572 x 0.0000057
- (d)
5432.7 x 3.572 x 0.000057
Sneha and Sidak have Rs 41 altogether.\(\frac{1}{4}\) of Sneha's money is Rs 2 more than \(\frac{1}{7}\) of Sidak's money. How much money Sneha has?
- (a)
Rs 27.5
- (b)
Rs 20
- (c)
Rs 30.50
- (d)
Rs 29
Which of the following statements is CORRECT?
- (a)
The products of fractions are expressed as \(\frac{Product\ of\ the\ numerators}{Product\ of\ the\ denominators}\)
- (b)
The product of two proper fractions is greater than the individual fractions involved in the operation
- (c)
The product of a proper and an improper fraction is less than the proper fraction.
- (d)
When a decimal number is to be divided by 10, 100 or 1000, the decimal in the decimal number is shifted to the right.
Mohit and Rohit go for shopping to a mall. They bought a pair of jeans and 2 shirts.
Store P | Store Q | Store R | |
One pair of Jeans | Rs 399.70 | Rs 449.90 | Rs 499.50 |
One Shirt | Rs 222.40 | Rs 224.80 | Rs 204.60 |
(a) At which store should Mohit and Rohit shop to spend the least amount of money?
(b) Mohit and Rohit bought a pair of jeans from store R, 1 shirt from store P and another shirt from store Q. If they had Rs 1000, how much will be left?
- (a)
a b A S Rs 52 - (b)
a b B P Rs 53.30 - (c)
a b C Q Rs 53.30 - (d)
a b D Q Rs 65.50