MODEL QUESTION PAPER FOR SUMMATIVE TEST -I MATHEMATICS CLASS-VIII Maximum Marks:80 Time: 3 hours General instructions: 1. All questions are compulsory 2. The question paper consist of 34 questions divided in to 4 sections A,B,C and D 3. Section A contains 12 MCQ first 8 of I markseach and the next 4 of 2 marks each 4. Section B contains 7 questions of 2 marks each 5. Section C contains 10 questions of 3 marks each 6. Section D contains 5 questions of 4 marks each SECTION A Q1-Write the additive inverse of -7/19 (a)-19/7 (b) 19/7 (c) 7/19 (d) -7/19 Q2- The adjacent angles in a parallelogram are (a) Complementary (b) supplementary (c) equal (d) linear pair Q3- In which of the following quadrilateral diagonals are perpendicular bisector(a) Rectangle (b) Rhombus (c) Parallelogram (d) trapezium Q4- When a coin is thrown what is the probability of getting a head(a) ½ (b) ¼ (c) 1 (d) 0 Q5- Which of the following can not be unit digit of a perfect square number(a) 1 (b) 2 (c) 4 (d) 6 Q6- The sum of first n odd natural numbers is – (a) 2n (b) 3n (c) n2 (d) n3 Q7-Which of the following is a Ramanujan number (a) 1729 (b) 1728(c) 1727 (d) 1726 Q8- The symbol 3 represent- (a) Square root (b) Cube root (c) Square (d) Cube SECTION B Q9- Find the multiplicative inverse of -13 (a) -1/13 (b) 13 (c) 1/13 (d) 1 Q10- Find the smallest number by which 81 must be divided to obtain a perfect cube(a) 1 (b) 2 (c) 3 (d) 4 Q11-Which of the following number is not a perfect square – (a)169 (b) 400 (c) 6400 (d) 1058 Q12- Find the cube root of 512(a) 6 (b) 7 (c) 8 (d) 9 Q13- Find the sum of the exterior angle of convex polygon having 7 sides Q14-Find the square root of 12.25 Q15- Find the cube root of 13824 by prime factorization method Q16- When dice is thrown find the probability of coming a prime number Q17-Define frequency Q18-Verify that –(-X)=X for x= Q19- Solve the equation 14y—8=13 SECTION C Q20-Find three rational number between Q21-Multiply and by the reciprocal of Q22-The sum of three consecutive multiple of 8 is 888 .Find the multiples Q23-How many sides does a regular polygon have if the measure of an exterior angle is 24₀ Q24 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. Q25 Draw the square READ with RE=5.1 cm Q26 The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. Q27 Write the Pythagorean triplet whose smallest number is 8 Q28 Find the smallest square number that is divisible by each of the number 4, 9, 10 . Q29 Is 392 a perfect cube? If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube. SECTION D Q30 One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number? Q31 The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. Q32- Find the value of x+y+z+w Q33 Construct a quadrilateral DEAR , DE=4cm , EA=5cm ,AR=4.5 cm , angle E=60 , angle A=90 Q34 The weekly wages (in Rs) of 30 workers in a factory are. 830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840 Using tally marks make a frequency table with intervals as 800–810, 810–820 and so on.Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions.