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Olympiad Test: Fractions and Decimals - Grade 5 MCQ


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20 Questions MCQ Test - Olympiad Test: Fractions and Decimals

Olympiad Test: Fractions and Decimals for Grade 5 2025 is part of Grade 5 preparation. The Olympiad Test: Fractions and Decimals questions and answers have been prepared according to the Grade 5 exam syllabus.The Olympiad Test: Fractions and Decimals MCQs are made for Grade 5 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Fractions and Decimals below.
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Olympiad Test: Fractions and Decimals - Question 1

A __________ is a fraction that represents a part of a whole.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 1

A proper fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.

Example: Consider the fraction 7/12. This fraction is read as ”seven-twelfth” which means that 7 parts out of 12 equal parts in which the whole is divided.
In the fraction 7/12, 7 is called the numerator and 12 is called the denominator.

Olympiad Test: Fractions and Decimals - Question 2

Three times the first of three consecutive odd integers is 3 more than twice the third integer. The third integer is:

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 2

Let the three integers be x, x + 2, and x + 4.
Then, 3x = 2(x + 4) + 3
Therefore, x = 11.
Third integer = x + 4 = 15.

Olympiad Test: Fractions and Decimals - Question 3

The product of two numbers is 2.0016. If one of them is 0.72, find the other number.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 3

Product of two numbers = 2.0016
One number = 0.72
Other number = (2.0016 ÷ 0.72)

Hence, the required number = 2.78

Olympiad Test: Fractions and Decimals - Question 4

If 2494 ÷ 14.5 = 172, then 24.94 ÷ 1.45 = ?

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 4

- Given that 2494 ÷ 14.5 = 172
- To find 24.94 ÷ 1.45, we need to move the decimal point one place to the right for both numbers
- This gives us 249.4 ÷ 14.5
- Dividing 249.4 by 14.5 gives us 17.2
- Therefore, the answer is 17.2

Olympiad Test: Fractions and Decimals - Question 5

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 5

Suppose commodity X will cost 40 paise more than Y after Z  years. Then,

► (4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40
► 0.25Z = 0.40 + 2.10
► Z = (2.50 / 0.25) = 10

∴ X will cost 40 paise more than Y 10 years after 2001 i.e in 2011.

Olympiad Test: Fractions and Decimals - Question 6

A fraction acts as an operator ________.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 6

Fraction as an operator ‘of ’.
Fraction acts as an operator of  'of' represents multiplication.

Example: 1/3 of 90 = 1/3 × 90 = 30.

Olympiad Test: Fractions and Decimals - Question 7

The product of two proper fractions is ________ each of the fractions that are multiplied.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 7

When two proper fractions are multiplied, the product is less than both the fractions. Or, we say the value of the product of two proper fractions is smaller than each of the two fractions.

Olympiad Test: Fractions and Decimals - Question 8

In a class of 40 students 1/5 of the total number of students like to study English, 2/5 of the total number like to study mathematics and the remaining students like to study Science.

Q. How many students like to study English?

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 8

Number of students who like english = 1/5 of 40 

= 1/5 ×40 
= 8 students 

Olympiad Test: Fractions and Decimals - Question 9

What will be the vulgar fraction of 0.75

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 9

To convert 0.75 into a vulgar fraction, we start by expressing it as 75/100. Simplifying this fraction involves the following steps:

  • Identify the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD is 25.
  • Divide both the numerator and the denominator by the GCD:
    • 75 ÷ 25 = 3
    • 100 ÷ 25 = 4
  • This gives us the simplified fraction of 3/4.

Therefore, 0.75 as a vulgar fraction is 3/4.

Olympiad Test: Fractions and Decimals - Question 10

Find the average of 4.2, 3.8 and 7.6.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 10

Average = Sum of numbers / Total quantity of numbers

= (4.2 + 3.8 + 7.6) / 3
= 15.6 / 3
= 5.2

Olympiad Test: Fractions and Decimals - Question 11

(2 / 7) × 3 =_______

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 11

To solve (2/7) × 3, follow these steps:

  • Multiply the numerator (the top part of the fraction) by 3.
  • Keep the denominator (the bottom part of the fraction) the same.

This can be represented mathematically as:

(2 × 3)/7 = 6/7.

Olympiad Test: Fractions and Decimals - Question 12

What decimal of an hour is a second ?

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 12

Required decimal =

Olympiad Test: Fractions and Decimals - Question 13

(2 / 5) ÷  7 = ______.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 13

To solve the division of a fraction by a whole number, follow these steps:

  • Convert the whole number into a fraction with a denominator of 1.
  • Multiply the two fractions.

For example, to solve (2/5) ÷ 7:

  • Convert 7 to a fraction: 7 = 7/1.
  • Now, multiply: (2/5) * (1/7).
  • This results in: 2/(5 * 7) = 2/35.

Therefore, the correct answer is A.

Olympiad Test: Fractions and Decimals - Question 14

0.02 × 0.03 = ______

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 14

To solve 0.02 × 0.03, follow these steps:

  • First, multiply the numbers as if they were whole numbers: 2 × 3 = 6.
  • Next, count the total number of decimal places in the original numbers:
    • 0.02 has 2 decimal places.
    • 0.03 also has 2 decimal places.
  • This gives a total of 4 decimal places.
  • Now, place the decimal point four places to the left of the product:
    • 6 becomes 0.0006.

Therefore, 0.02 × 0.03 = 0.0006.

Olympiad Test: Fractions and Decimals - Question 15

In a proper fraction, the numerator is ________ the denominator.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 15

In a proper fraction, the numerator is always less than the denominator.
Examples of proper fractions include: 
1/2, 9/13 and 1/1001.

Olympiad Test: Fractions and Decimals - Question 16

Reciprocal of 7 / 2 is _____

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 16

A reciprocal of a fraction a / b is created by changing places of numerator and denominator (it can only be done if the numerator of the original fraction a is different from zero), so it is b / a.

So, in the given example the reciprocal of 7/2 is 2 / 7.

Olympiad Test: Fractions and Decimals - Question 17

In a class 3/4th of the students do not know either English or Hindi. But 1/6th of the students know English. How much students know both English and Hindi if students who know Hindi are 1/8th of total students in the class? 

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 17

3 / 4th do not know English or Hindi. 
So, 1 / 4th know English or Hindi or both.
1/6th know English and 1/8th know Hindi .

Answer is 1 / 24.

Olympiad Test: Fractions and Decimals - Question 18

(1/3) of 3 is ____

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 18

(⅓) of 3 means 1/3 * 3 = 1.
∵ 3 in numerator and denominator cancels out.

Olympiad Test: Fractions and Decimals - Question 19

Multiply 2.05 and 1.3.

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 19

When you multiply 2.05 by 1.3 you get 2.665 , because there are three decimal places.

Olympiad Test: Fractions and Decimals - Question 20

Which of the following is the decimal form of the fraction 7/20?

Detailed Solution for Olympiad Test: Fractions and Decimals - Question 20

To convert the fraction 7/20 into a decimal:

  1. Divide the numerator (7) by the denominator (20):

    7 ÷ 20 = 0.35

Thus, the decimal form of the fraction 7/20 is 0.35.

Correct answer:
a) 0.35

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