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All questions of Fractions for Primary 3 Exam

How many triangles should be unshaded so that 2 / 12 of the triangles are shaded?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?

Anjali Gupta answered
Total no. of triangles = 12
2 / 12;
So 2 triangles should be shaded so that 2 / 12 of the triangles are shaded
No. of triangles shaded = 6
No. of triangles to be unshaded = 6 - 2 = 4

Which of the following fractions are considered unlike fractions?
  • a)
    5/8 and 3/8
  • b)
    1/4 and 1/4
  • c)
    2/5 and 3/6
  • d)
    2/3 and 4/3
Correct answer is option 'C'. Can you explain this answer?

Understanding Unlike Fractions
Unlike fractions are fractions that have different denominators. This means that the bottom numbers of the fractions are not the same, which makes them "unlike." Let's analyze the given options to identify which pairs of fractions are unlike.
Option A: 5/8 and 3/8
- Both fractions have the same denominator (8).
- Therefore, they are like fractions, not unlike.
Option B: 1/4 and 1/4
- Both fractions are identical, with the same numerator and denominator (1/4).
- These are also like fractions, not unlike.
Option C: 2/5 and 3/6
- The denominators are different (5 and 6).
- This makes them unlike fractions, as they do not share a common denominator.
Option D: 2/3 and 4/3
- Although the denominators are the same (3), the numerators are different (2 and 4).
- These are considered like fractions, as they have the same denominator.
Conclusion
The correct answer is option C (2/5 and 3/6). These fractions are unlike because they have different denominators. Understanding the difference between like and unlike fractions is essential for performing operations such as addition and subtraction, which require a common denominator.

What fraction of the figure is shaded?
  • a)
    1 / 4
  • b)
    1 / 2
  • c)
    3 / 4
  • d)
    3 / 8
Correct answer is option 'B'. Can you explain this answer?

Akash Tiwari answered
Count the total number of parts = 8
The number of parts shaded red = 4
Fraction of the figure shaded = 4 / 8 = 1 / 2.

How many more parts are to be shaded to make 1 / 2 part shaded?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?

Anjali Gupta answered
Total no. of parts = 8
No. of parts shaded = 1
No. of parts to be shaded to make 1 / 2 of the circle shaded ⇒ 1 / 2 = 4 / 8 i.e 4 parts.
No. of parts to be shaded more = 4 - 1 = 3.

How do you simplify the fraction 4/8 to its lowest terms?
  • a)
    1/2
  • b)
    4/2
  • c)
    2/4
  • d)
    3/4
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
To simplify the fraction 4/8, you divide both the numerator and denominator by their greatest common divisor, which is 4. Thus, 4 ÷ 4 = 1 and 8 ÷ 4 = 2, resulting in the simplified fraction 1/2. Simplifying fractions helps in understanding their true value.

Which of the following fractions is a unit fraction?
  • a)
    2/5
  • b)
    4/8
  • c)
    1/7
  • d)
    3/4
Correct answer is option 'C'. Can you explain this answer?

A unit fraction is defined as a fraction where the numerator is 1. In this case, 1/7 is a unit fraction because its numerator is 1. This concept is fundamental in understanding fractions as it helps identify the smallest portions in fraction representation.

Tick the correct fraction for the given picture
  • a)
    7/3
  • b)
    3/3
  • c)
    3/7
  • d)
    4/4
Correct answer is option 'C'. Can you explain this answer?

Glitz Classes answered
- To determine the correct fraction for the given picture, count both the whole and shaded parts.
- There are 7 equal parts and 3 of these parts are shaded, the fraction representing the shaded portion is 3/7.
- Thus, the correct answer is C: 3/7.

If a chocolate bar is divided into 2 equal pieces, what fraction does each piece represent?
  • a)
    1/3
  • b)
    1/2
  • c)
    1/4
  • d)
    2/3
Correct answer is option 'B'. Can you explain this answer?

Riya Singh answered
When a chocolate bar is divided into 2 equal pieces, each piece represents 1/2 of the whole. This concept is fundamental in understanding fractions, especially in sharing scenarios.

Which of the following fractions is an example of an equivalent fraction to 1/2?
  • a)
    1/3
  • b)
    3/5
  • c)
    4/8
  • d)
    2/4
Correct answer is option 'D'. Can you explain this answer?

Riya Singh answered
The fractions 1/2, 2/4, and 4/8 are all equivalent because they represent the same part of a whole despite having different numerators and denominators. Understanding equivalent fractions is essential for simplifying and comparing fractions.

If a cake is divided into 8 equal parts and someone takes 3 parts, how can the fraction of the cake taken be expressed?
  • a)
    1/8
  • b)
    3/8
  • c)
    5/8
  • d)
    1/2
Correct answer is option 'B'. Can you explain this answer?

When a cake is divided into 8 equal parts and 3 parts are taken, the fraction representing the portion taken is 3/8. This shows that out of the 8 equal slices, 3 have been consumed. Understanding fractions in this way can help in real-life sharing situations.

To check if two fractions are equivalent, which mathematical operation can be used?
  • a)
    Add the numerators.
  • b)
    Divide the numerators by the denominators.
  • c)
    Subtract the denominators.
  • d)
    Multiply the numerators by the denominators.
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
To check if two fractions are equivalent, you multiply the numerator of the first fraction by the denominator of the second and vice versa. If the products are equal, the fractions are equivalent. For example, checking if 2/4 and 4/8 are equivalent involves confirming that 2 × 8 = 16 and 4 × 4 = 16.

What is the role of the numerator in a fraction?
  • a)
    It indicates how many parts we have.
  • b)
    It shows the total amount of the whole.
  • c)
    It represents the total number of items in a collection.
  • d)
    It shows how many equal parts the whole is divided into.
Correct answer is option 'A'. Can you explain this answer?

Edu Impact answered
The numerator is the top number in a fraction, which indicates how many parts of the whole are being considered. For example, in the fraction 3/4, the numerator is 3, meaning we have three parts of a total of four. Understanding the role of the numerator helps in grasping the concept of fractions as parts of a whole.

What fraction represents half of a whole?
  • a)
    1/4
  • b)
    2/3
  • c)
    1/2
  • d)
    1/3
Correct answer is option 'C'. Can you explain this answer?

Dr Manju Sen answered
Half of a whole is represented by the fraction 1/2, meaning that the whole is divided into two equal parts, and one of those parts is taken. This is a fundamental concept in fractions that applies to many real-world situations, such as sharing food.

What fraction represents three equal parts of a whole that is divided into four equal parts?
  • a)
    2/4
  • b)
    1/4
  • c)
    1/2
  • d)
    3/4
Correct answer is option 'D'. Can you explain this answer?

The fraction representing three equal parts of a whole divided into four equal parts is 3/4. This illustrates the concept of fractions in terms of parts of a whole, which is fundamental in various real-life contexts such as cooking and sharing.

If you have a fraction 5/6 and you subtract 1/6, what is the result?
  • a)
    4/6
  • b)
    6/6
  • c)
    5/7
  • d)
    5/5
Correct answer is option 'A'. Can you explain this answer?

Glitz Classes answered
To subtract like fractions, you subtract the numerators while keeping the denominator the same. Thus, 5/6 - 1/6 = (5 - 1)/6 = 4/6. This result can also be simplified further to 2/3 if needed.

What is the fraction of red flowers if there are 1 red and 2 yellow flowers in a collection of 3 flowers?
  • a)
    2/3
  • b)
    1/4
  • c)
    1/2
  • d)
    1/3
Correct answer is option 'D'. Can you explain this answer?

Glitz Classes answered
In a collection of 3 flowers, with 1 red flower, the fraction representing the part of red flowers is 1/3. This demonstrates how fractions can represent parts of a whole in a collection, which is a useful skill in various applications.

If a fraction is described as three-fourths, what does it mean?
  • a)
    4/3
  • b)
    3/4
  • c)
    1/4
  • d)
    1/3
Correct answer is option 'B'. Can you explain this answer?

Edu Impact answered
The term three-fourths refers to the fraction 3/4, which indicates that three parts out of a total of four equal parts are being considered. This fraction helps in visualizing portions of a whole, commonly used in recipes and sharing scenarios.

How do you add the fractions 2/5 and 1/5?
  • a)
    5/5
  • b)
    2/10
  • c)
    1/5
  • d)
    3/5
Correct answer is option 'D'. Can you explain this answer?

Riya Singh answered
To add like fractions, you simply add the numerators while keeping the denominator the same. Thus, 2/5 + 1/5 = (2 + 1)/5 = 3/5. This principle is crucial for performing operations with fractions correctly.

What type of fraction has a numerator larger than its denominator?
  • a)
    Like fraction
  • b)
    Proper fraction
  • c)
    Improper fraction
  • d)
    Unit fraction
Correct answer is option 'C'. Can you explain this answer?

An improper fraction is one where the numerator is larger than the denominator, such as 7/4. This concept is important in understanding the relationship between different types of fractions, particularly when converting between mixed numbers and improper fractions.

What type of fractions have the same denominator?
  • a)
    Like fractions
  • b)
    Mixed fractions
  • c)
    Unlike fractions
  • d)
    Improper fractions
Correct answer is option 'A'. Can you explain this answer?

Riya Singh answered
Fractions that share the same denominator are termed like fractions. An example is 1/4 and 3/4, where both fractions have the denominator of 4. Understanding this classification helps simplify addition and subtraction of fractions.

What happens when you subtract a fraction from itself?
  • a)
    It results in 0.
  • b)
    It results in the original fraction.
  • c)
    It results in a larger fraction.
  • d)
    It results in 1.
Correct answer is option 'A'. Can you explain this answer?

Riya Singh answered
When you subtract a fraction from itself, the result is always 0. For example, if you have 3/5 and subtract 3/5, you get 0. This concept is fundamental in understanding properties of operations with fractions.

If Zainab divides a pizza into 4 equal parts and takes 1 part, what fraction of the pizza is left?
  • a)
    1/2
  • b)
    2/4
  • c)
    3/4
  • d)
    1/4
Correct answer is option 'C'. Can you explain this answer?

Dr Manju Sen answered
If Zainab takes 1 out of 4 equal parts of the pizza, she has taken 1/4, leaving her with 3/4 of the pizza. This illustrates the concept of fractions in real-life sharing scenarios.

What is the result of adding the fractions 3/8 and 2/8?
  • a)
    1/4
  • b)
    5/8
  • c)
    1/2
  • d)
    3/4
Correct answer is option 'B'. Can you explain this answer?

When adding like fractions, you simply add the numerators while keeping the denominator the same. Therefore, 3/8 + 2/8 = (3 + 2)/8 = 5/8. This operation is foundational in fraction arithmetic.

The table B shows the number of vegetable kept in a basket. What fraction of vegetables without Carrots and Onions?
  • a)
    1/12
  • b)
    4/13
  • c)
    4/15
  • d)
    9/12
Correct answer is option 'D'. Can you explain this answer?

Anjali Gupta answered
Total no. of vegetables = 12
No. of vegetables that care not carrots and onions = 12 - (4 + 3 + 2) = 3.
Fraction of veg that are not carrots onions = 3 / 12 
left = 9/12

How many equal parts does the figure below have?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?

Rhea Reddy answered
The dotted lines divide the shape in 4 parts.
However none of the parts are equal.
Hence there are 0 equal parts in the figure.

What is the first step in solving a word problem involving fractions?
  • a)
    Add the fractions.
  • b)
    Identify the fractions involved.
  • c)
    Simplify the fractions.
  • d)
    Write the fractions in lowest terms.
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
The first step in solving any word problem that involves fractions is to identify the fractions involved. Understanding what fractions you are working with allows you to determine the necessary operations, whether they are addition, subtraction, or others.

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