Page 1 (1/3) MATHEMATICS Class VIII General Instructions: â€¢ The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 questions of 7 marks each. â€¢ In Section - A all questions are compulsory. In Section â€“ B solve any 5 questions. In Section â€“ C solve any 10 questions and in Section â€“ D solve any 5 questions. â€¢ Draw neat diagrams wherever needed. SECTION â€“ A (Attempt all questions) Q.1 The difference between the highest and the lowest values of a set of data is called________. Q.2 The product of ( 9 4 - ) , (x 4 y), (xy 3 ) and (x 3 y 2 ) is______. Q.3 How many faces and edges does a triangular prism have? Q.4 TSA of a prism = LSA + 2 x ______. Q.5 Write 0.0000507 in standard form. Q.6 A pipe that fills 25% of a tank in 1 hour will fill it completely in ______ hours. Q.7 4x 2 - 9y 2 = ? Q.8 A point with y coordinate zero will lie on ______ axis. Q.9 If 62y3 is a multiple of 3, where y is a single digit then what should be the minimum and maximum value of y? Q.10 A number divisible by both 2 and 5 must have ____ in its ones place. SECTION â€“ B (Attempt any five questions) Q.11 Evaluate using suitable identity: 1.05 × 9.5. Q.12 Simplify: 3y(2y â€“ 7) â€“ 3(y â€“ 4) â€“ 63 and evaluate for y = â€“ 2. Q.13 Draw the top, side and front view of the given figure. Q.14 Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm and 16cm respectively. Q.15 Evaluate : (6 -1 â€“ 7 -1 ) -1 â€“ (5 -1 â€“ 4 -1 ) -1 . Q.16 Write Eulerâ€™s formula, then find the number of faces in a solid if the number of vertices is 8 and number of edges is 12. Q.17 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016mm. What is the total thickness of the stack? Write in standard form. SECTION â€“ C (Attempt any ten questions) Q.18 12 cards numbered 1,2,3,â€¦â€¦11,12 are kept in a box and mixed thoroughly. If one Page 2 (1/3) MATHEMATICS Class VIII General Instructions: â€¢ The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 questions of 7 marks each. â€¢ In Section - A all questions are compulsory. In Section â€“ B solve any 5 questions. In Section â€“ C solve any 10 questions and in Section â€“ D solve any 5 questions. â€¢ Draw neat diagrams wherever needed. SECTION â€“ A (Attempt all questions) Q.1 The difference between the highest and the lowest values of a set of data is called________. Q.2 The product of ( 9 4 - ) , (x 4 y), (xy 3 ) and (x 3 y 2 ) is______. Q.3 How many faces and edges does a triangular prism have? Q.4 TSA of a prism = LSA + 2 x ______. Q.5 Write 0.0000507 in standard form. Q.6 A pipe that fills 25% of a tank in 1 hour will fill it completely in ______ hours. Q.7 4x 2 - 9y 2 = ? Q.8 A point with y coordinate zero will lie on ______ axis. Q.9 If 62y3 is a multiple of 3, where y is a single digit then what should be the minimum and maximum value of y? Q.10 A number divisible by both 2 and 5 must have ____ in its ones place. SECTION â€“ B (Attempt any five questions) Q.11 Evaluate using suitable identity: 1.05 × 9.5. Q.12 Simplify: 3y(2y â€“ 7) â€“ 3(y â€“ 4) â€“ 63 and evaluate for y = â€“ 2. Q.13 Draw the top, side and front view of the given figure. Q.14 Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm and 16cm respectively. Q.15 Evaluate : (6 -1 â€“ 7 -1 ) -1 â€“ (5 -1 â€“ 4 -1 ) -1 . Q.16 Write Eulerâ€™s formula, then find the number of faces in a solid if the number of vertices is 8 and number of edges is 12. Q.17 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016mm. What is the total thickness of the stack? Write in standard form. SECTION â€“ C (Attempt any ten questions) Q.18 12 cards numbered 1,2,3,â€¦â€¦11,12 are kept in a box and mixed thoroughly. If one (2/3) card is drawn at random, find the probability of getting a card with: i) a prime number ii) a factor of 12 iii) a number divisible by 3 iv) a multiple of 2 Q.19 Evaluate without actual multiplication: (i) 98 x 102 (ii) (105) 2 Q.20 Simplify: (i) (5x â€“ 6) (2x â€“ 3) + (3x + 5) 2 (ii) (2x + 5y) (2x + 3y) Q.21 Verify Eulerâ€™s formula for the given solid. Q.22 Find the volume of a cube if its total surface area is 150cm 2 . Q.23 a) Find m so that (-3) m+1 × (-3) 5 = (-3) 7 b) Find the value of (3 0 + 4 -1 ) × 2 2 Q.24 A 5m 60cm high pole casts a shadow of length 3m 20cm. a) Find at the same time the length of a shadow cast by another pole 10m 50cm high. b) Find the height of the pole if the length of the shadow is 6m 40cm. Q.25 Factorise: a) m 4 â€“ 256 b) x 2 + xy + 8x + 8y Q.26 a) Find the highest common factor of 16x 3 , -4x 2 , 32x. b) Factorise x 2 â€“ 14x + 13 Q.27 Given below is the histogram showing the weights of 36 students of a hostel: Answer the following: i) What is the class size? ii) How many students are there in the class intervals of weights 40-70 and 80-90? iii) How many students weigh 70 kg or more? Q.28 An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 40 cm. The base, side faces and back face are to be covered with the coloured paper. Find the area of paper needed. Page 3 (1/3) MATHEMATICS Class VIII General Instructions: â€¢ The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 questions of 7 marks each. â€¢ In Section - A all questions are compulsory. In Section â€“ B solve any 5 questions. In Section â€“ C solve any 10 questions and in Section â€“ D solve any 5 questions. â€¢ Draw neat diagrams wherever needed. SECTION â€“ A (Attempt all questions) Q.1 The difference between the highest and the lowest values of a set of data is called________. Q.2 The product of ( 9 4 - ) , (x 4 y), (xy 3 ) and (x 3 y 2 ) is______. Q.3 How many faces and edges does a triangular prism have? Q.4 TSA of a prism = LSA + 2 x ______. Q.5 Write 0.0000507 in standard form. Q.6 A pipe that fills 25% of a tank in 1 hour will fill it completely in ______ hours. Q.7 4x 2 - 9y 2 = ? Q.8 A point with y coordinate zero will lie on ______ axis. Q.9 If 62y3 is a multiple of 3, where y is a single digit then what should be the minimum and maximum value of y? Q.10 A number divisible by both 2 and 5 must have ____ in its ones place. SECTION â€“ B (Attempt any five questions) Q.11 Evaluate using suitable identity: 1.05 × 9.5. Q.12 Simplify: 3y(2y â€“ 7) â€“ 3(y â€“ 4) â€“ 63 and evaluate for y = â€“ 2. Q.13 Draw the top, side and front view of the given figure. Q.14 Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm and 16cm respectively. Q.15 Evaluate : (6 -1 â€“ 7 -1 ) -1 â€“ (5 -1 â€“ 4 -1 ) -1 . Q.16 Write Eulerâ€™s formula, then find the number of faces in a solid if the number of vertices is 8 and number of edges is 12. Q.17 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016mm. What is the total thickness of the stack? Write in standard form. SECTION â€“ C (Attempt any ten questions) Q.18 12 cards numbered 1,2,3,â€¦â€¦11,12 are kept in a box and mixed thoroughly. If one (2/3) card is drawn at random, find the probability of getting a card with: i) a prime number ii) a factor of 12 iii) a number divisible by 3 iv) a multiple of 2 Q.19 Evaluate without actual multiplication: (i) 98 x 102 (ii) (105) 2 Q.20 Simplify: (i) (5x â€“ 6) (2x â€“ 3) + (3x + 5) 2 (ii) (2x + 5y) (2x + 3y) Q.21 Verify Eulerâ€™s formula for the given solid. Q.22 Find the volume of a cube if its total surface area is 150cm 2 . Q.23 a) Find m so that (-3) m+1 × (-3) 5 = (-3) 7 b) Find the value of (3 0 + 4 -1 ) × 2 2 Q.24 A 5m 60cm high pole casts a shadow of length 3m 20cm. a) Find at the same time the length of a shadow cast by another pole 10m 50cm high. b) Find the height of the pole if the length of the shadow is 6m 40cm. Q.25 Factorise: a) m 4 â€“ 256 b) x 2 + xy + 8x + 8y Q.26 a) Find the highest common factor of 16x 3 , -4x 2 , 32x. b) Factorise x 2 â€“ 14x + 13 Q.27 Given below is the histogram showing the weights of 36 students of a hostel: Answer the following: i) What is the class size? ii) How many students are there in the class intervals of weights 40-70 and 80-90? iii) How many students weigh 70 kg or more? Q.28 An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 40 cm. The base, side faces and back face are to be covered with the coloured paper. Find the area of paper needed. (3/3) Q.29 Work out the following divisions: (i) (7x 2 + 14x) ÷ (x + 2) (ii) 5pq (p 2 â€“ q 2 ) ÷ 2p (p + q) SECTION â€“ D (Attempt any five questions) Q.30 On a particular day, the sales (in rupees) of different items of a bakerâ€™s shop are given below. Draw a pie chart for this data: Ordinary bread 320 Fruit 80 Cakes and pastries 160 Biscuits 120 Others 40 TOTAL 720 Q.31 Diagram of the given picture frame has outer dimensions as 24cm × 28cm and inner dimensions as 16cm × 20cm. Find the area of each section of the frame, if the width of each section is same. 20cm 28 cm 16cm 24cm Q.32 Rohit is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table: No. of Spokes 4 6 8 10 Angle between a pair of consecutive spokes 90 o 60 o ? ? a) Are the number of spokes and the angles formed between the pair of consecutive spokes in inverse proportion? b) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes. c) How many spokes would be needed if the angle between a pair of consecutive spokes is 40 o ? Q.33 a) Factorise then divide : ) 8 6 ( 104 ) 64 36 ( 156 2 2 3 + - y y y y b) Factorise: 16a 2 â€“ 25b 2 + 60 bc â€“ 36c 2 Q.34 Draw a line graph for the following Side of square(in cm) 10 20 25 30 40 Perimeter (in cm) 40 80 100 120 160 Q.35 a) A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7m. Find the quantity of milk in litres that can be stored in the tank. b) Find the height of a cuboid whose volume is 275cm 3 and base area is 25 cm 2Read More

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