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CADET COLLEGE PETARO MODEL TEST PAPER FOR ADMISSION TO CLASS-VIII MATHS Time Allowed : 01 Hour Max. Marks: 100 Passing Marks: 50 SECTION I (Marks-70) Q.No.1 Write True or False . Each part carries 02 marks. ( i) -a x2(-b) 2 ab 2 3ab 2 ( ii) Set can be written in two ways. (iii) a=2 , b= -3 , c = 1 ,then abc b 2 15 (iv) A 1,2,1, B , then A B (v) a (b c) (a b) c represents associative property of addition. (vi) In the polynomial -8z 2 , the co-efficient is 8 . (vii) The degree of polynomial xy is 1 . (viii) -3a-3b = -5ab (ix) a 7 (a 2 3a 2 ) 5a 5 ( x) The solution set of 2x+3=6 is 6 . (xi) In triangle ABC mA mB mC 180 0 (xii) Factors of 3x 2 9 x are 3x and x+3 . ab (xiii) ab a2 b2 2y 5x (xiv) 5 xy 4 2 (xv) Mean = Sum of data Number of data Q.No.2 Fill in the blanks . Each part carries 02 marks. ( i) (30) __________ __________ __________ __________ __________ ___________ ___________ ___________ ___________ ___________ ___________ ___________ ___________ ___________ ___________ (40) If two triangles have equal corresponding angles or equal ratios of corresponding sides, they are _____________triangles. (ii) In a right angled triangle, the sum of two acute angles will be ______________. (iii) 5(xy) 2 15xy 3 ________________ (iv) Information handling is a part of ________________. (v) Athar read 25% of the book containing 100 pages, the number of pages left are ______ (vi) The distance between parallel sides of a trapezium is called _____________ (vii) The equality of two _____________ is called proportion. 2 5 1 (viii) A : B = : and B : C = : 2 , then A: C = ________________ 3 6 2 (ix) P = Set of first 3 prime numbers and Q = Set of first 2 composite numbers then P Q = _________________ (x) x + y = 16 , x - y= 0 , then (x,y) = ___________ (xi) The subset of every set is ___________________ (xii) A B B A , this property is called ___________________ (xiii) 6 _____________ 6,4,0 1 2 22 then A = ____________ r h when r=7, h=15. and 3 7 (xv) The degree of the polynomial 5x 2 - 7 in one variable is _________________ (xvi) Circumference of a circle = x ___________________ (xvii) Mid point of (70-72) is ________________ (xviii) Sector is part of ____________________ (xix) 2 : x = 10 : 12 , then x = _______________ (xx) x - 5 13 , is _______________________ (xiv) Given that A = SECTION – II (Marks-30) Note : Attempt any two questions . Each question carries 15 marks. Q.No.3 (a) (b) Q.No.4 (a) x 1 x x 4 5 6 When a number is divided by 4 and has 28 added to it , the result is equal to twice the number . Find the number ? Solve Construct a parallelogram PARK , m PA 6cm , m PK 8cm , m AK 6cm . (b) A motor cycle bought for Rs. 20,000/, was sold at a loss of 15% . Find its selling price. Q.No.5 (a) The length of a table is 0.5 m more than its breadth. If perimeter is 9 m, then find its length and breadth. (b) Simplify : 5 + ( x + 1 ) (x + 3) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------