Grade 4 Maths Half Yearly 2024-2025 PDF

# Grade 4 Mathematics ## Section - A **Answer ALL the questions.** 1. What is the Roman numeral for 353? - A. IIIIVIII - B. CCCVIII - **C. CCCLIII** - D. CCCDIII 2. In India, 9212 goods trains and 13313 passenger trains run daily. What is the total number of trains running daily?...

# Grade 4 Mathematics ## Section - A **Answer ALL the questions.** 1. What is the Roman numeral for 353? - A. IIIIVIII - B. CCCVIII - **C. CCCLIII** - D. CCCDIII 2. In India, 9212 goods trains and 13313 passenger trains run daily. What is the total number of trains running daily? - A. 105433 - **B. 12525** - C. 22525 - D. 4101 3. Which of the following is equal to 20? - A. 20 ÷ 10 - **B. 20 ÷ 1** - C. 20 + 20 - D. 0 ÷ 20 4. Read the following statements. - (i) 1 is a multiple of every number. - (ii) 1 is a factor of every number. Which of these is/are CORRECT statement(s)? - A. only (i) - **B. only (ii)** - C. both (i) and (ii) - D. neither (i) nor (ii) 5. What fraction of the adjacent shape is shaded? - **A. Four-nine** - B. Nine-four - C. Four-ninth - D. Nine-fourth 6. Which of the following is a unit fraction? - A. 3/3 - B. 4/3 - **C. 1/4** - D. 1/1 ## Section - B **Answer ALL the questions.** 15. Answer the following questions. - (i) Observe the number shown below using place value counters. - Ten Lakhs | Lakhs | Ten Thousands | Thousands | Hundreds | Tens | Ones - [image of counters with no numbers] - Write this number in **WORDS** and **NUMERALS** as per the International Number System. - (ii) Find the next number in the sequence given below. - 3,21,369 - 3,21,269 - 3,21,169 - 3,21,069 - (iii) Write the smallest number formed using the digits 7, 3, 0, 2, 8 and 5 such that no digit is repeated and the place value of the digit 5 is ten thousands. 16. The male population of the city of Varanasi is 7,54,310 and the female population is 6,69,601. Based on this information, answer the following questions and show your work. - (i) Find the total population of the city. - (ii) Round off the male population and female population to the nearest 1000s. - (iii) What is the difference between the number of males and females in the city of Varanasi? 17. Shanti started a tailoring unit with her friends. She ordered 12 tailoring machines. The price of each tailoring machine is ₹4,399. Based on this information, answer the following questions and show your work. - (i) What is the total cost of all the tailoring machines? - (ii) What is the cost of 10 tailoring machines? 18. Amir and his 8 friends visited a Snow Park and paid a total of ₹6,624 for the tickets. Based on this information, answer the following questions and show your work. - (i) What was the ticket cost per person? - (ii) A group paid ₹7,360 for their tickets. How many people are there in that group? 19. Answer the following questions based on DIVISIBILITY RULES. - (i) 836 is divisible by 4 but not by 3. Justify this statement using divisibility rules. - (ii) If * is a digit, then what is the value of * such that 65* is divisible by 9? - (iii) If # is a digit, then what is the value of # such that 29# is divisible by both 5 and 10? ## Section - C **Answer either “a” OR “b” in questions 25 and 26.** 25a. (i) Manju made 16 puris and 21 chapatis. Write any two possible ways in which she can pack the puris in different boxes equally. - (A) _puri(s)_ in each of the _boxes_. - (B) _puri(s)_ in each of the _boxes_. - She wants to pack chapatis such that each box has more than 1 chapati and not all chapatis are packed into just 1 box. Write 2 different possible ways for packing. - (C) _chapati(s)_ in each of the _boxes_. - (D) _chapati(s)_ in each of the _boxes_. - (ii) The multiples of 3 and 7 are given in the following table: | Multiples of 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 | 39 | 42 | 45 | |---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| | Multiples of 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 | 91 | 98 | 105 | - With the help of the above table, find the age of Lalitha's family members and fill in the following table. | Family Member | Clues about the age | Age | |---|---|---| | Lalitha | 1 more than the least common multiple of 3 and 9. | (A) | | Father | 5 more than 5th multiple of 7. | (B) | | Mother | 10 less than 2nd common multiple of 3 and 7. | (C) | | Brother | 6 less than least common multiple of 3 and 7. | (D) | 25b. (i) The following table shows the multiples of 6 and 9. Two of the multiples are missing. With the help of the following table, fill in the blanks: | Multiples of 6 | 6 | 12 | 18 | 24 | 30 | _?_ | 42 | 48 | 54 | 60 | |---|---|---|---|---|---|---|---|---|---|---| | Multiples of 9 | 9 | | 18 | 27 | 36 | 45 | 54 | 63 | _?_ | 81 | 90 | - (A) _?_ is a multiple of 6 between 30 and 40. - (B) _?_ is a multiple of 9 between 70 and 80. - (C) _?_ is a common multiple of 6 and 9 between 50 and 60. - (D) The least common multiple of 6 and 9 is the _?_ multiple of 3. - (ii) Answer the following questions. - (A) Find the missing number in the prime factorization of 32. [image of a prime factorization of 32 with a blank in the middle] - (B) Suman is trying to find the unique factors of 36. She wrote the multiplication facts given below. One of the multiplication fact is missing. Write the missing multiplication fact. - Factors of 36: - 1 × 36 = 36 - 2 × 18 = 36 - 4 × 9 = 36 - 6 × 6 = 36 - (C) List ALL the common factors of 32 and 36. - (D) Find the highest common factor of 32 and 36. 26a. (i) Answer the following questions. - (A) Kumar drank 3/7 L of water, and Kabir drank 5/7 L of water before lunch break. Who drank more water? - (B) Kumar's house is 9/8 km from their school, and Kabir's house is 8/7 km from their school. Who lives nearer to the school? - (C) Kumar and Kabir each had a chocolate of the same size. Kumar ate 2/3 of his chocolate and Kabir ate 3/5 of his chocolate. Shade both their fractions on the following fraction tiles and find out who ate more. Show your work. [empty image of two fraction tiles] - (ii) Pooja noticed that in the calendar of June 2024, one-sixth of the days are Sundays. - (A) Write the fraction that represents the underlined word. - (B) Shade the following diagram to show an equivalent fraction of it. Write the respective fraction in the box given below it. [empty image of a fraction tile] - (C) Fill the box with the correct number: 1/7 = _/42 26b. (i) The fraction of time spent studying English, Maths, and Hindi by three friends is given in the table below. | | English | Maths | Hindi | |------|---------|-------|-------| | Neeraj | 1/3 | 1/2 | 1/6 | | Saritha| 2/12 | 7/12 | 3/12 | | Manisha| 5/24 | 5/8 | 3/12 | Based on the above table, answer the following questions. - (A) Arrange the subjects in ascending order according to the time Neeraj spent studying them. _?_ < _?_ < _?_ - (B) Saritha spent the most time on which subject? - (C) Among Maths and Hindi, which subject did Manisha spend more time on? Shade the fractions for Maths and Hindi on the given fraction tiles to find out. [empty image of two fraction tiles] - (ii) Answer the following questions. - (A) Kanu's mother gave one similar pack of biscuits each to Kanu and her brother. Kanu ate 3/9 of total biscuits from her pack and her brother ate 1/3 of total biscuits from his pack. Fill the blank given below using < OR > OR =. - The number of biscuits eaten by Kanu ___ The number of biscuits eaten by her brother. - (B) Write ANY ONE equivalent fraction of 2/9. - (C) Shade the following diagram to show an equivalent fraction of 1/3. Write the respective fraction in the circle below it. [empty image of a circle]