class 8 Half yearly examination.pdf

MAA SARASWATI HOSTEL CUM COACHING CENTRE GOPAPUR Academic Session 2024-2025 Roll No........................ Date...........................

MAA SARASWATI HOSTEL CUM COACHING CENTRE GOPAPUR Academic Session 2024-2025 Roll No........................ Date........................ Half yearly examination Total Time: 3 Hrs 00 Mins Max Marks: 80 General Instructions This Question Paper is Divided into 4 Sections Section A Consists of 20 Questions Section B Consists of 8 Questions Section C Consists of 8 Questions Section D Consists of 4 Questions Standard/Class: 8th Subject: MATHEMATICS Section A State True/False - (1 Marks) 1. All squares are trapeziums. 2. All rhombuses are kites. 3. The cube of a single digit number may be a single digit number. Objective(MCQ) - (1 Marks) 4. What could be the possible one’s digit of the square root of 361 ? (a) 1, 9 (b) 3, 4 (c) 6, 7 (d) 7, 8 5. Which of the following statements is false? (a) Natural numbers are closed under addition (b) Whole numbers are closed under addition (c) Integers are closed under addition (d) Rational numbers are not closed under addition. 6. The smallest number by which 48 should be multiplied so as to get a perfect square is (a) 2 (b) 3 (c) 4 (d) 5 7. Which of the following statements is true ? (a) Natural numbers are associative for subtraction (b) Whole numbers are not associative for subtraction (c) Integers are associative for subtraction Page 1 of 5  (d) Rational numbers are associative for subtraction 8. The smallest number by which 1000 should be multiplied so as to get a perfect square is (a) 5 (b) 10 (c) 4 (d) 8 9. If 102 = 100, then the square root of 100 is (a) 1 (b) 10 (c) 100 (d) 1000 10. Which of the following statements is true ? (a) Natural numbers are closed under multiplication (b) Whole numbers are not closed under multiplication (c) Integers are not closed under multiplication (d) Rational numbers are not closed under multiplication. 11. Mithlesh purchased a T.V. for Rs 10000 and sold it for Rs 8000. Find her loss %. (a) 10% (b) 20% (c) 40% (d) 60% Subjective - (1 Marks) 12. Is 46656 is a perfect cube ? 13. How many sides does a regular polygon have if the measure of an exterior angle is 24°? 14. Probability of getting a red apple. (See figure below) 15. Find the area of rectangle with the following pair of monomial as it's lengths and breadths respectively: (3mn, 4np). 16. State the name of a regular polygon with 3 sides. 17. Convert ratio to percentages 3 : 4 18. Multiply the binomial: (y – 8) and (3y – 4) 19. Convert ratio to percentages 2 : 3 20. Find the product of the following pair of monomial: – 4p, 7pq Section B Subjective - (2 Marks) 21. Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram. Page 2 of 5 22. Subtract: 5x² – 4y² + 6y – 3 from 7x² – 4xy + 8y² + 5x – 3y. 23. The squares of which of the following would be odd numbers? (i) 431 (ii) 2826 (iii) 7779 (iv) 82004 24. Multiply: (i) (x – 4) and (2x + 3) (ii) (x – y) and (3x + 5y) 25. Find the square roots of the following numbers by the Prime Factorisation Method. (i) 729 (ii) 400 26. Subtract: 3pq (p – q) from 2pq (p + q). 27. Obtain the volume of rectangular box with the following length, breadth and height respectively: xy, 2x²y, 2xy² 28. Find the product: (a² + b) (a + b²) Section C Subjective - (3 Marks) 29. Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube? 30. During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1450 and two shirts marked at ₹850 each? 31. Add the following: (i) 2p²q² – 3pq + 4,5 + 7pq – 3p²q² (ii) l² + m², m² + n², n² + l²,2lm + 2mn + 2nl OR Find the cube root of each of the following numbers by prime factorisation method. (i) 15625 (ii) 13824 32. Find the smallest square number that is divisible by each of the numbers 8, 15 and 20. OR Consider the following parallelogram. Find the values of the unknowns x, y, z. 33. Find the square root of each of the following numbers by Division method. (i) 3249 (ii) 1369 Page 3 of 5 34. The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram. 35. Consider the following parallelogram. Find the values of the unknowns x, y, z. 36. In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000. OR When a die is thrown, what is the Probability of getting (i) (a) a prime number (b) not a prime number. (ii) a number greater than 5 Section D Subjective - (5 Marks) 37. Obtain the product of: (i) xy, yz, zx (ii) a, – a², a³ (iii) 2, 4y, 8y², 16y³ (iv) a, 2b, 3c, 6abc (v) m, – mn, mnp OR Subtract: i) 4p²q – 3pq + 5pq² – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq² + 5p²q ii) a – b + ab, b – c + bc, c – a + ac 38. A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this. OR If 60% people in a city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game. 39. Find the square roots of the following numbers by the Prime Factorisation Method. (i) 7744 (ii) 9604 (iii) 5929 (iv) 9216 (v) 529 40. Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. Page 4 of 5 Colours Number if people Blue 18 Green 9 Red 6 Yellow 3 (Total) ( 36) Page 5 of 5  Answers 1. T 2. T 3. True 4. A 5. D 6. B 7. B 8. B 9. B 10. A 11. B 12. Yes 13. 360/24 = 15 (sides) 14. 4/7 16. Equilateral triangle 17. 75° 19. 200/3% 21. Each is a right angle 23. (i) , (iii) 25. (i) 27 : (ii) 20 29. 20 cuboids 30. ₹ 2, 835 31(choice-question). (i) 25 ; 32. 3600 (iu) 24 32(choice-question). y = 112° 33. (i) 57 ; (ii) 37 34. 180° ; 72° ; x = 28° ; z = 28° 35. x = 100° ; y = 80° ; z = 80° 36. 5 , 31 , 616 36(choice-question). (i) :(a) 2 , 3 , 5 ; (b) 1 , 4, 6 ; (ii) : (a) 6 38. 24 plants 38(choice-question). 10% , 39. (i) 88 ; (ii) 98 ; (iii) 77 ; (iv) cricket - 30 lakh ; football - 96 15lakh; other games - 5 lakh