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MATHS QUESTION PAPER SET FOR TO PRACTICE
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Max. Marks -60 Time: 2 𝟏 𝟐 Hrs General Instructions: (i) All questions are compulsory. (ii)This question paper consists of 29 questions divided into five sections A, B, C, D and E. (iii) Internal choice has been provided in one question each in section C, and D. (iv) Section A consists of 15 MCQs, 1 Mark each. (v) Section B consists of 4 questions, 2 marks each. (vi) Section C consists of 5 questions, 3 marks each. (vii) Section D consists of 2 questions, 5 marks each. (viii) Section E consists of 3 questions, 4 marks each. Q No Questions Marks SECTION A 1 The sum of all angles of any quadrilateral is (a)180° (b) 360° (c)460° (d) 120°
2 The quadrilateral with all its sides equal and angles are equal to 90 degrees, it is called: (a) Rectangle (b)Square (c)Kite (d)Parallelogram
3 Which of the following numbers are divisible by 3? (a) 216 (b)550 (c)218 (d)
4 5120 divisible by (a) 9 (b) 3 (c) 8 (d)
5 Which pair is forming like pairs? (a)4xy,-3xy,12x (b) 2a, 3b (c)2ab, 3abc (d)3x,30x,-5x
6 Which algebraic expression identifies the expression: “Two more than a square number” (a)2+s (b)(s+2)² (c)s²+2 (d)2s²
7 (5m+6n)² is equal to (a)25m² +36n² (b)25m² +60mn +36n² (c) 11mn (d)25m² - 60mn + 36n²
8 Which statement is proportional: (a)4:7::12:21 (b)8:3::24:6 (c)12:18::28:12 (d)18:8::9:
9 The missing term in 150:90::240:? 1
(a)120 (b)18 (c)180 (d) 144 10 40% of 4 is (a) 1600 (b)1.6 (c)16 (d)
11 The decimal form of 100 % is (a)10.0 (b)1.1 (c)0.6 (d)1.
12 Which of the following is Baudhayana Triples (a)(6,8,10) (b)(1,2,3) (c)(3,4,6) (d)(10,20,30)
13 The diagonal of a square with sidelength 5cm is (a)50 cm (b)25 cm (c)5 cm (d)√50 cm
14 If the cost of 10 pencils is Rs.200, then the cost of 24 such pencils is (a)Rs.480 (b)Rs.240 (c)Rs. 48 (d) 960
15 Which of the following pairs of quantities are in inverse proportion the number of pages in a book and the time required to read it at a fixed reading speed. (a) the number of painters hired and the days needed to paint a wall of fixed size (b) the distance a car can travel and the amount of petrol in the tank. (c) The length of cloth bought and the price paid at a fixed rate per meter.
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16 A car travels 90 km in 150 minutes. If it continues at the same speed, what distance will it cover in 4 hrs?
17 Name the quadrilateral: (a) A parallelogram in which all sides are equal, diagonals are not equal but bisect each other at right angle. (b) Non parallel sides of a trapezium are equal. OR Find the remaining angles of the following trapezium
18 The sum of four consecutive numbers is 34. What are these numbers? 2 19 Find the hypotenuse of an isosceles right - angled triangle whose equal sides have length 12 cm.
20 Construct a kite whose diagonals are of lengths 6 cm and 8 cm. OR Construct a rectangle of sides 8cm and 6cm.
21 Find a Number that leaves (a) a remainder of 2 when divided by 3 (b) a remainder of 3 when divided by 4 and (c) a remainder of 4 when divided by 5
29 A school is redesigning its playground and garden area. The shapes used in the design are quadrilaterals. One of the flower beds is in the shape of a parallelogram ABCD. The following information is given: AB ∥ CD and AD ∥ BC AB = CD ∠A = 70° Based on this information, answer the following questions. (a) In parallelogram ABCD, if ∠A = 70°, find the measure of ∠B. (b) A student claims: “All rectangles are parallelograms, but all parallelograms are not rectangles.” Is the statement correct? Justify your answer using properties of parallelograms.