CBSE Class 3 Mathematics Practice Test Worksheet Set 05

FRACTIONS

Question 1. Fill in the blanks -
- ________ halves make a whole.
- A cake is divided into four equal parts ________
- Every fraction has a ________________ and a ______________
- In fraction \(\frac{8}{10}\), 8 is ______________ and 10 is ________________
Answer: - 2 halves make a whole.
- A cake is divided into four equal parts: quarters (or fourths).
- Every fraction has a numerator and a denominator.
- In fraction \(\frac{8}{10}\), 8 is the numerator and 10 is the denominator.
In simple words: A whole is made of 2 halves, and every fraction consists of a top number (numerator) and a bottom number (denominator).

Exam Tip: Always remember that the numerator shows the parts taken, and the denominator shows the total equal parts.

Question 2. Write fractions using given numerators and denominators -
- Numerator - 1, 2, 4, 2, 3, 3
- Denominator - 5, 8, 7, 8, 4, 8
- Fraction -
Answer: The fractions formed by pairing each numerator with its corresponding denominator are:
1. Numerator 1, Denominator 5: \(\frac{1}{5}\)
2. Numerator 2, Denominator 8: \(\frac{2}{8}\)
3. Numerator 4, Denominator 7: \(\frac{4}{7}\)
4. Numerator 2, Denominator 8: \(\frac{2}{8}\)
5. Numerator 3, Denominator 4: \(\frac{3}{4}\)
6. Numerator 3, Denominator 8: \(\frac{3}{8}\)
In simple words: Place the numerator on top and the denominator at the bottom with a line in between to write the fraction.

Exam Tip: The numerator is always written above the fraction bar, and the denominator is written below it.

Question 3. Fill in the fraction to make it “whole” -
- \(\frac{1}{4}\) + _____ = 1
- \(\frac{1}{2}\) + _____ = 1
- \(\frac{3}{4}\) + _____ = 1
Answer:
- \(\frac{1}{4} + \frac{3}{4} = 1\)
- \(\frac{1}{2} + \frac{1}{2} = 1\)
- \(\frac{3}{4} + \frac{1}{4} = 1\)
In simple words: To make a whole (1), the missing fraction must have the same denominator, and its numerator must add up to the denominator.

Exam Tip: When denominators are the same, just subtract the given numerator from the denominator to find the missing numerator.

Question 4. Which of the following is divided into quarters -
Answer: A shape divided into quarters means it is divided into 4 equal parts.
In simple words: Look for shapes or diagrams that are split equally into four sections.

Exam Tip: Quarters always mean 4 equal parts of a single whole shape.

Question 5. Colour the given fraction -
- 3/8
- 5/15
- 3/4
- 1/6
Answer:
- For \(\frac{3}{8}\): Shade 3 parts out of the 8 equal parts.
- For \(\frac{5}{15}\): Shade 5 parts out of the 15 equal parts.
- For \(\frac{3}{4}\): Shade 3 parts out of the 4 equal parts.
- For \(\frac{1}{6}\): Shade 1 part out of the 6 equal parts.
In simple words: Colour the number of parts shown by the numerator out of the total parts in the denominator.

Question 6. If \(\frac{1}{2}\) = [box] [box]
Then Whole = ____________________________________________
Answer: Whole = Two halves or 2 boxes representing the complete shape.
In simple words: Since half is represented by the given boxes, the full whole will be double that amount.

Exam Tip: A whole is always equal to 2 halves, 3 thirds, or 4 quarters.

ROMAN NUMERALS

Question 1. Match correctly:
- XXII          8
- XXXIV      29
- XII            20
- XXIX         34
- XX            9
- VIII          22
- IX             12
Answer: Correct matching:
- XXII = 22
- XXXIV = 34
- XII = 12
- XXIX = 29
- XX = 20
- VIII = 8
- IX = 9
In simple words: Match each Roman numeral to its correct Hindu-Arabic number value.

Exam Tip: Break down Roman numerals into tens and ones (e.g., XXII = 10 + 10 + 1 + 1 = 22).

Question 2. Add and write your answer in Roman numerals:
- XI + VII = ________
- XXV + IX = ________
- XXXI + IV = ________
Answer:
- XI + VII = 11 + 7 = 18 = XVIII
- XXV + IX = 25 + 9 = 34 = XXXIV
- XXXI + IV = 31 + 4 = 35 = XXXV
In simple words: Add the numbers normally in Hindu-Arabic numerals first, then convert the sum into Roman numerals.

Exam Tip: Convert numbers to standard digits to calculate quickly, then write back in Roman numeral form.

Question 3. Subtract and write your answer in "Hindu Arabic" and "Roman Numerals":
Hindu Arabic      Roman Numerals
- 22 - 4 = ____________      _______________
- 36 - 23 = ____________      _______________
- 29 - 9 = ____________      _______________
Answer:
- 22 - 4 = 18      XVIII
- 36 - 23 = 13      XIII
- 29 - 9 = 20      XX
In simple words: Subtract the numbers to get the Hindu-Arabic answer, then write its Roman numeral equivalent.

Exam Tip: Double check your subtraction before doing the final Roman numeral conversion.

Question 4. What comes after, before or between :
- XXVIII ________
- XXII ________ XXIV
- ________ XX
Answer:
- XXVIII, XXIX
- XXII, XXIII, XXIV
- XIX, XX
In simple words: Fill in the missing Roman numeral in the counting sequence.

Exam Tip: Think of standard forward and backward counting to find the correct Roman numeral sequence.

Question 5. Arrange in ascending and descending order :
- IX, IV, XIII, XIX, X, XXIV
Ascending Order _____ , _____ , _____ , _____ , _____ , _____
Descending Order _____ , _____ , _____ , _____ , _____ , _____
- XXIX, XIV, XXXIII, XXXIX, XXIV
Ascending Order _____ , _____ , _____ , _____ , _____
Descending Order _____ , _____ , _____ , _____ , _____
Answer:
- For IX, IV, XIII, XIX, X, XXIV:
Ascending Order: IV, IX, X, XIII, XIX, XXIV
Descending Order: XXIV, XIX, XIII, X, IX, IV
- For XXIX, XIV, XXXIII, XXXIX, XXIV:
Ascending Order: XIV, XXIV, XXIX, XXXIII, XXXIX
Descending Order: XXXIX, XXXIII, XXIX, XXIV, XIV
In simple words: Ascending means smallest to largest, and descending means largest to smallest.

Question 6. Insert > or < in the blanks :
- VIII ___________ XIX
- XXXIX _____________ XXIX
- XVI _____________ XIV
- XIX ___________ XX
Answer:
- VIII < XIX
- XXXIX > XXIX
- XVI > XIV
- XIX < XX
In simple words: Compare the values of the two Roman numerals and use < or > correctly.

Exam Tip: The open side of the inequality symbol (> or <) always points toward the larger number.

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