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All questions of Fractions, Greater than, Less than, Equal for Year 5 Exam
In a class of 30 students, if 9 are nine-year-old boys and 9 are nine-year-old girls, what proportion of the class is not nine years old?- a) 1/3
- b) 2/5
- c) 1/2
- d) 3/5
Correct answer is option 'B'. Can you explain this answer?
In a class of 30 students, if 9 are nine-year-old boys and 9 are nine-year-old girls, what proportion of the class is not nine years old?
a)
1/3
b)
2/5
c)
1/2
d)
3/5
|
Tutorpedia Coaching answered |
To find the proportion of students who are not nine years old, we first calculate the total number of nine-year-olds: 9 boys + 9 girls = 18 nine-year-olds. Therefore, the number of students not nine years old is 30 - 18 = 12. The proportion is then 12/30, which simplifies to 2/5. Understanding proportions helps in analyzing data, such as demographics in a classroom.
How is the fraction 3/4 converted to a percentage?- a) 75%
- b) 70%
- c) 80%
- d) 60%
Correct answer is option 'A'. Can you explain this answer?
How is the fraction 3/4 converted to a percentage?
a)
75%
b)
70%
c)
80%
d)
60%
|
Rahul Kumar answered |
To convert 3/4 into a percentage, divide 3 by 4 to get 0.75, and then multiply by 100. Therefore, 0.75 × 100 = 75%. This conversion is essential for interpreting fractions in terms of percentage, which is frequently used in assessments and real-life applications.
If you multiply a unit fraction 1/5 by 4, what is the result?- a) 1/20
- b) 4/5
- c) 1/5
- d) 4/20
Correct answer is option 'B'. Can you explain this answer?
If you multiply a unit fraction 1/5 by 4, what is the result?
a)
1/20
b)
4/5
c)
1/5
d)
4/20
|
|
Rahul Kumar answered |
Multiplying the unit fraction 1/5 by 4 results in 4/5. This operation effectively scales the fraction up, demonstrating how multiplication affects fractions. Understanding this concept is vital in various applications, including cooking and dividing resources.
Which of the following statements about ratios is true?- a) Ratios can only compare two quantities.
- b) The order of quantities in a ratio does not matter.
- c) A ratio can be expressed as a fraction or percentage.
- d) Ratios are always whole numbers.
Correct answer is option 'C'. Can you explain this answer?
Which of the following statements about ratios is true?
a)
Ratios can only compare two quantities.
b)
The order of quantities in a ratio does not matter.
c)
A ratio can be expressed as a fraction or percentage.
d)
Ratios are always whole numbers.
|
Yashina Kapoor answered |
Ratios can indeed be expressed as fractions or percentages, making them versatile for comparing quantities. For instance, a ratio of 2:3 can be written as 2/5 or converted into a percentage (40% for the first part). Understanding ratios is essential for various applications, from cooking recipes to financial analysis.
If 1/2 of a cake is shared equally among 4 people, how much cake does each person receive?- a) 1/4
- b) 1/8
- c) 3/8
- d) 1/2
Correct answer is option 'B'. Can you explain this answer?
If 1/2 of a cake is shared equally among 4 people, how much cake does each person receive?
a)
1/4
b)
1/8
c)
3/8
d)
1/2
|
Stoneridge Institute answered |
When 1/2 of a cake is divided among 4 people, each person gets 1/2 ÷ 4, which is the same as 1/2 × 1/4 = 1/8. This division shows how we can share portions of a whole, and it’s a practical application of fractions in real-life scenarios, such as sharing food.
If a class of 30 students includes 9 nine-year-old boys and 9 nine-year-old girls, what is the proportion of nine-year-olds?- a) 1/2
- b) 2/5
- c) 3/5
- d) 1/3
Correct answer is option 'C'. Can you explain this answer?
If a class of 30 students includes 9 nine-year-old boys and 9 nine-year-old girls, what is the proportion of nine-year-olds?
a)
1/2
b)
2/5
c)
3/5
d)
1/3
|
|
Tutorpedia Coaching answered |
The total number of nine-year-olds is 18 (9 boys + 9 girls). The proportion of nine-year-olds in the class is calculated as 18/30, which simplifies to 3/5. This reflects the fraction of the class that falls into this age group, highlighting the concept of proportions in demographic studies.
What symbol is used to represent a quantity that is less than another quantity?- a)
- b) ≠
- c) >
- d) =
Correct answer is option 'A'. Can you explain this answer?
What symbol is used to represent a quantity that is less than another quantity?
a)
b)
≠
c)
>
d)
=
|
|
Stoneridge Institute answered |
The symbol "<" denotes="" that="" one="" quantity="" is="" less="" than="" another.="" for="" example,="" in="" the="" inequality="" 3="">< 5,="" it="" indicates="" that="" 3="" is="" less="" than="" 5.="" understanding="" these="" symbols="" is="" essential="" for="" comparing="" numbers="" and="" working="" with="" inequalities="" in="">
What is the common denominator of the fractions 2/3 and 4/9 when adding them?- a) 6
- b) 9
- c) 12
- d) 18
Correct answer is option 'D'. Can you explain this answer?
What is the common denominator of the fractions 2/3 and 4/9 when adding them?
a)
6
b)
9
c)
12
d)
18
|
Torcia Education answered |
To find a common denominator for 2/3 and 4/9, we can convert 2/3 to a fraction with 9 as the denominator. This gives us 2/3 = 6/9. Now we can add 6/9 and 4/9, as they share the same denominator of 9. The common denominator for these fractions is 9, but in terms of addition, it becomes 18 when considering both fractions' equivalent forms for clarity in operations.
Which of the following symbols is used to represent the concept of "greater than" in mathematical comparisons?- a)
- b) ≤
- c) >
- d) =
Correct answer is option 'C'. Can you explain this answer?
Which of the following symbols is used to represent the concept of "greater than" in mathematical comparisons?
a)
b)
≤
c)
>
d)
=
|
|
Torcia Education answered |
The symbol ">" is used to indicate that one quantity is greater than another. For example, if we say 5 > 3, it means that 5 is greater than 3. Understanding these symbols is crucial for comparing numbers, fractions, and other quantities in mathematics.
What is the ratio of red counters to blue counters if there are 2 red and 3 blue counters?- a) 3:2
- b) 2:3
- c) 5:2
- d) 1:1
Correct answer is option 'B'. Can you explain this answer?
What is the ratio of red counters to blue counters if there are 2 red and 3 blue counters?
a)
3:2
b)
2:3
c)
5:2
d)
1:1
|
|
Stoneridge Institute answered |
The ratio of red to blue counters is expressed as 2:3, indicating that for every 2 red counters, there are 3 blue counters. Ratios are useful for comparing quantities and understanding proportions in various contexts, such as recipes or mixing solutions.
If you have 1/2 of a chocolate bar and you divide it among 3 people, how much chocolate does each person get?- a) 1/6
- b) 1/2
- c) 1/3
- d) 1/4
Correct answer is option 'A'. Can you explain this answer?
If you have 1/2 of a chocolate bar and you divide it among 3 people, how much chocolate does each person get?
a)
1/6
b)
1/2
c)
1/3
d)
1/4
|
|
Rahul Kumar answered |
Dividing 1/2 by 3 means calculating 1/2 ÷ 3, which is the same as multiplying 1/2 by the reciprocal of 3, or 1/3. Therefore, 1/2 × 1/3 = 1/6. Each person receives 1/6 of the chocolate bar. This illustrates how division of fractions works in practical scenarios.
Convert the decimal 0.8 into a percentage.- a) 90%
- b) 70%
- c) 80%
- d) 100%
Correct answer is option 'C'. Can you explain this answer?
Convert the decimal 0.8 into a percentage.
a)
90%
b)
70%
c)
80%
d)
100%
|
|
Tutorpedia Coaching answered |
To convert a decimal into a percentage, you multiply it by 100. Thus, 0.8 × 100 = 80%. This conversion is important in various applications, such as finance and statistics, where percentages are often more intuitive than decimals.
How do you find a common denominator for adding the fractions 7/18 and 5/27?- a) Use the larger denominator
- b) Add the denominators
- c) Multiply both denominators
- d) Find the least common multiple
Correct answer is option 'D'. Can you explain this answer?
How do you find a common denominator for adding the fractions 7/18 and 5/27?
a)
Use the larger denominator
b)
Add the denominators
c)
Multiply both denominators
d)
Find the least common multiple
|
|
Tutorpedia Coaching answered |
The least common multiple (LCM) of the denominators 18 and 27 is 54. To add the fractions, convert each to have a denominator of 54. This method ensures that both fractions are expressed in terms of the same base, facilitating accurate addition.
Which of the following is an equivalent fraction for 1/3?- a) 2/3
- b) 3/9
- c) 4/12
- d) 5/15
Correct answer is option 'B'. Can you explain this answer?
Which of the following is an equivalent fraction for 1/3?
a)
2/3
b)
3/9
c)
4/12
d)
5/15
|
|
Rahul Kumar answered |
The fraction 3/9 is equivalent to 1/3 because if you simplify 3/9 by dividing both the numerator and the denominator by 3, you get 1/3. This demonstrates the concept of equivalent fractions, which are different fractions that represent the same value.
Which of the following represents an addition of fractions with a common denominator?- a) 5/6 + 1/3
- b) 1/4 + 1/3
- c) 3/8 + 1/4
- d) 2/5 + 1/5
Correct answer is option 'D'. Can you explain this answer?
Which of the following represents an addition of fractions with a common denominator?
a)
5/6 + 1/3
b)
1/4 + 1/3
c)
3/8 + 1/4
d)
2/5 + 1/5
|
|
Rahul Kumar answered |
The addition of 2/5 + 1/5 is straightforward because both fractions already share the same denominator. Adding fractions with common denominators simply requires summing the numerators while keeping the denominator constant, resulting in 3/5.
Chapter doubts & questions for Fractions, Greater than, Less than, Equal - Year 5 Mathematics IGCSE (Cambridge) 2025 is part of Year 5 exam preparation. The chapters have been prepared according to the Year 5 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Year 5 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Year 5 Mathematics IGCSE (Cambridge)
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