Mathematics Sa2 Paper

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SYLLABUS MATHEMATICS(041) SA-II (2012-13)

Annexure ‘E’

Second Term
UNITS
II III V VI ALGEBRA GEOMETRY (Contd.) MENSURATION (Contd.) STATISTICS AND PROBABILITY TOTAL

Marks: 90
MARKS

16 38 18 18 90

The Question Paper will include value based question(s) To the extent of 3-5 marks.   The Problem Solving Assessment will be conducted for all students of class IX in Jan – Feb 2013 and the details are available in a separate circular. The `Problem Solving Assessment’ (CBSE-PSA) will be counted towards FA-4 which is 10% of total assessments of Class IX. This assessment will also be carried forward towards the FA-4 in Class X. This score will be reflected in one Language (English or Hindi), Mathematics, Science and Social Science w.e.f the session 2012-2013 for Class IX and 2013 – 14 for Class X. The same score will be reflected in FA-4 for class IX and Class X. The students will have the option to improve their PSA Score in Class X, as they can sit for the test with Class IX students of the Session 2013-2014 in January – February 2014. The best scores will be reflected in the final certificate in case of those applying for improvement. The schools which have already planned their time table and other details regarding FA-4 will take the best scores of FA-3 and FA-4 to count towards the total 10%, now available for FA-3 and FA-4 taken together.





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Design of Question Paper Mathematics (047) Class IX S. A. –II (2012-13) Type of Question M.C.Q SA-I SA-II LA TOTAL Marks per question 1 2 3 4 Total no. of Questions 8 6 10 10 34 Total Marks 8 12 30 40 90

The Question Paper will include value based question(s) to the extent of 3-5 marks The Question Paper will not have any choice(s) in any of the questions.

Weightage
S.No. 1 2 Unit No. II III Topic Weightage

Algebra (contd.) 3+4 16 [Linear equations in two variables] Geometry (contd.) 1+2+4 38 [Quadrilaterals,Area,Circles,Constructions] Mensuration 1+3+4 Statistics & Probability 2+3 18 18 90

3 4 Total

V VI

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Sample Questions Mathematics (047) Class IX S. A. –II (2012-13) M.C.Q. 1 Mark

1. If in a quadrilateral, diagonals are equal, then it cannot be a : (A) Square (B) Parallelogram (C) Rhombus (D) Rectangle 2. If in a sphere, volume and surface area are numerically equal, then radius will be : (A) 1 (B) 3 (C) 2 (D) 4 SA-I 3. In a 2 Marks

ABC, E is the mid-point of median AD. Show that ar (BED) = 1 ar (ABC) 4 4. Find the mode of 14, 25, 14, 26, 27, 16, 14, 18, 22, 25,26, 30, 14, 25, 22. SA-II 3 Marks

5. The slant height and base diameter of a conical tomb are 25 m and 14m respectively. Find the cost of white – washing its curved surface at the rate of. 6. In a survey, 1000 families with two children were selected randomly and the following data were recorded : No. of girls in the family No. of families 2 320 1 460 0 220

Find the probability of a family, chosen at random, having (i) 2 girls (ii) 1 girl (iii) less than 1 girl. 7. Draw graphs of 3x+2y=0 and 2x-3y=0. What is the point of intersection of the two lines representing the above equation. LA – 4 Marks 8. A 44m x 11m sheet is roled along length to form a cylinder. Find the volume of the cylinder. 9. Two parallel lines l and m are intersected by a transversal p as shown in the figure. Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

P 68

P B

A

S l D m

Q

C

R

10. Cost of 7 pens and 8 pencils is Rs. 87 and cost of 6 pens and 4 pencils is Rs. 66. Write linear equations representing the above data and draw its graph. Also find the cost of 1 pen and 1 pencil from the graph.

ANSWER KEY
1. (C) 2. (B) 3. Median of a triangle divides it into two triangles of equal area A In ABC, AD is median 1 M 2 Fig 1 M 2 1M 1M

. ar (ABD) = ½ ar (ABC) (i) . . In ABD, BE is median B . ar (BED) = ½ ar (ABD) . . = ¼ ar (ABC) using (i) 4. Number 14 occurs most frequently i.e. 4 times so mode = 14 5. l = slant...
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