Explore Exams
Login Signup
Sign in Open App
All Exams  >   Grade 10  >   Mathematics for Grade 10  >   All Questions

All questions of Fractions and Decimals for Grade 10 Exam

How many 2/3 kg pieces can be cut from a cake of weight 4 kg? 
  • a)
    5
  • b)
    8
  • c)
    7
  • d)
    6
Correct answer is option 'D'. Can you explain this answer?

Edgy Education answered
Observe the following figure representing 4 cakes each of 1 kg and try to give the answer.
2/3 s are there in these 4 cakes?’
That is, 
Alternate Method 
This can be observed also in the following way.

We get the answer as 6.
Clear all your doubts with EduRev

(81.84 + 118.16) ÷ 53 = 1.2 × 2 + ?
  • a)
    0.8
  • b)
    -0.8
  • c)
    0.6
  • d)
    -0.6
Correct answer is option 'B'. Can you explain this answer?

Yuna Yang answered
Calculation:

Addition:
81.84 + 118.16 = 200

Division:
200 ÷ 53 = 3.77

Multiplication:
3.77 * 2 = 7.54

Subtraction:
7.54 - 8.4 = -0.86
Therefore, the answer is -0.8 (option B).

Which of the following fractions is the largest?
  • a)
    13/19
  • b)
    25/31
  • c)
    28/31
  • d)
    70/79
Correct answer is option 'C'. Can you explain this answer?

Owen Olson answered
Understanding the Fractions
To determine which fraction is the largest among the options provided, we can compare them by finding a common denominator or converting them to decimal form. However, it is often easier to use cross-multiplication for direct comparisons.
Fractions to Compare
- 13/19
- 25/31
- 28/31
- 70/79
Cross-Multiplication Method
This method allows us to compare two fractions (a/b and c/d) by checking if a*d is greater than or less than b*c.
Step-by-Step Comparisons
- Comparing 13/19 and 25/31
- 13 * 31 = 403
- 19 * 25 = 475
- Since 403 < 475,="" />25/31 is larger.
- Comparing 25/31 and 28/31
- Since both fractions share the same denominator (31), it’s clear that 28/31 is larger.
- Comparing 28/31 and 70/79
- 28 * 79 = 2212
- 31 * 70 = 2170
- Since 2212 > 2170, 28/31 is larger.
Conclusion
After performing the comparisons, we find that 28/31 is indeed the largest fraction among the given options. Thus, option 'C' is correct.
Final Result
- 28/31 > 25/31 > 70/79 > 13/19
This structured approach clearly shows the superiority of 28/31, confirming it as the largest fraction.

Statement 1: The product of two improper fractions is less than both fractions.
Statement 2: Unlike fractions: The fractions which don't have same denominators
  • a)
    Both Statements are true.
  • b)
    Statement 1 is true & Statement 2 is false
  • c)
    Statement 1 is False & Statement 2 is True
  • d)
    Both Statements are False.
Correct answer is option 'C'. Can you explain this answer?

Eduskill Classes answered
Concept used:
Improper fractions: Improper Fractions are those fractions, whose denominator is lesser than its numerator.
Unlike fractions: The fractions which don't have the same denominators is true.
Solution:
Let, two improper fractions be 5/2 and 4/3
Product of both = 5/2 x 4/3 = 20/6 = 10/3
5/2 = 2.5
4/3 = 1.33
10/3 = 3.33
4/3 < 5/2 < 10/3
(4/3) < (5/2) < [(4/3) x (5/2)]
The product of two improper fractions is greater than both.
⇒ the given statement is false.
Unlike fractions: The fractions which don't have the same denominators is true.
⇒ the given statement is true.
Hence, the correct option is 3

If the fractions 7/13, 2/3, 4/11, 5/9 are arranged in ascending order, then the correct sequence is?
  • a)
    2/3, 7/13, 4/11, 5/9
  • b)
    7/13, 4/11, 5/9, 2/3
  • c)
    4/11, 7/13, 5/9, 2/3
  • d)
    5/9, 4/11, 7/13, 2/3
Correct answer is option 'C'. Can you explain this answer?

Rainbow Rise Classes answered
(7/13) = 0.538
(2/3) = 0.666
(4/11) = 0.3636
(5/9) = 0.5555
Out of 2/3, 7/13, 4/11, 5/9
2/3 is the largest number followed by 5/9 then 7/13 and the smallest is 4/11.
∴ The ascending order will be 4/11, 7/13, 5/9, 2/3.

Find the value of {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}
  • a)
    1.98
  • b)
    1.09
  • c)
    1.562
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?

Eduskill Classes answered
Given:
 {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}
Concept used:
(a + b)3 = a3 + b3 + 3ab(a + b)
Calculation:
{(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1
⇒ [(.98)3 + (0.02)3 + 3 × 0.98 × 0.02(0.98 + 0.02)} – 1]
Now, first term is of the form (a + b)3 where a = .98 and b = 0.02
⇒ (0.98 + 0.02)3 – 1 = 1 – 1 = 0
∴ The value is 0.

Ramu finishes 1/3 part of a work in 1 hour. How much part of the work will be finished in hours?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Edgy Education answered
Given:
1 hour = 1/3 of work
Solution:
The part of the work finished by Ramu in 1 hour = 1/3
So, the part of the work finished by Ramu in 

Ramu will finish 11/15 part of the work inhours. 

7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?
  • a)
    15
  • b)
    12
  • c)
    18
  • d)
    10
Correct answer is option 'D'. Can you explain this answer?

Rainbow Rise Classes answered
Let the number of people be x and number of the chair be y.
Number of available chair = y × (9/13) = 9y/13
Number of empty chair = y - (9y/13) = 4y/13
Given, Number of empty chairs = 28
According to the question
4y/13 = 28
y = 28 × (13/4) = 91
Total number of chairs = 91
Number of chairs in which people are sitting = 91 - 28 = 63
Number of people who sit = x × (7/9) = 7x/9
According to the question
7x/9 = 63
x = 63 × (9/7) = 81
Total number of people are = 81
Chairs would have been still empty if everyone in the hall was sitting = 91 - 81 = 10

0.126 × 0.0232 is equal to:
  • a)
    0.0029132
  • b)
    0.0029432 
  • c)
    0.0029232 
  • d)
    0.0029332
Correct answer is option 'C'. Can you explain this answer?

Edgy Education answered
Calculation:
0.126 × 0.0232
⇒ 126 × 10-3 × 232 × 10-4
⇒ 126 × 232 × 10-3 - 4
⇒ 29232 × 10-7
⇒ 0.0029232

In a group of students, 1/5 are aged below 8 years. Of the remaining 2/5 are above 8 years. What fraction of the students are exactly 8 years of age?
  • a)
    12/25
  • b)
    2/5
  • c)
    3/5
  • d)
    4/25
Correct answer is option 'A'. Can you explain this answer?

Indu Gupta answered
Let the total number of students in the group be 1
Number of students who are below age 8 = 1 × 1/5 = 1/5
Remaining students = 1 – 1/5 = 4/5
Number of students who are above age 8 = 4/5 × 2/5 = 8/25
Number of students who are exactly 8 years old = 1 – 1/5 – 8/25 = 12/25
Short trick:
Let the total number of students be 25
Number of student who are below age 8 = 25 × 1/5 = 5
Remaining students = 25 – 5 = 20
Number of students who are above age 8 = 20 × 2/5 = 8
Number of students who are exactly age 8 = 25 – 5 – 8 = 12
Required fraction = 12/25

4/5 of 5 kg apples were used on Monday. The next day 1/3 of what was left was used. The weight (in kg) of apples left now is
  • a)
    2/7
  • b)
    1/14
  • c)
    2/3
  • d)
    4/21
Correct answer is option 'C'. Can you explain this answer?

Edgy Education answered
Apples used on Monday = (4/5) x 5 = 4 kg
Apples used on the next day = (5 - 4) x 1/3 = 1/3 kg
Weight of the apples left = 5 - 4 - 1/3 = 2/3 kg
Hence, the correct option is (c).

Chapter doubts & questions for Fractions and Decimals - Mathematics for Grade 10 2025 is part of Grade 10 exam preparation. The chapters have been prepared according to the Grade 10 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Grade 10 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Fractions and Decimals - Mathematics for Grade 10 in English & Hindi are available as part of Grade 10 exam. Download more important topics, notes, lectures and mock test series for Grade 10 Exam by signing up for free.

Mathematics for Grade 10

137 videos|83 docs|44 tests

Top Courses Grade 10

© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup