**SSC Mathematics Model paper**

Paper - II ( Parts A and B ) (English Version)

Time: 2 .30 Hours - Max Marks: 50

Paper - II ( Parts A and B ) (English Version)

Time: 2 .30 Hours - Max Marks: 50

Instructions: 1. Answer the questions under Part- A on a separate answer book. 2. Write the answers to the questions under Part-B on the question paper itself and attach it to the answer book of Part-A.

**Time: 2 Hours - PART-A - Marks: 35**

Section - I

Note: 1. Answer ANY FIVE questions choosing at least TWO from each of the following groups. 2. Each question carries TWO marks. 5 × 2 = 10

GROUP - A (Geometry, Analytical Geometry, Statistics)

1. Two poles of height 6 mts and 11mts stand vertically on a plane ground. If the distance between their feet is 12mts. Determine the distance between their tops.

2. Find the equation of the straight line passing through the point (1, -6) and whose product of the intercepts on the coordinate axes is 1.

3. Find the ratio in which the Y- axis divides the line - segment joining the points (-3, 2) and (6, 1)

4. The mean marks scored by 50 students is 80. On verification of data, it was found that the marks of one student were shown as 73 instead of 37. If corrected, find the new mean.

SECTION - II

Note: 1. Answer any FOUR of the following six questions. 2. Each question carries ONE mark. 4 × 1 = 4.

1. Find the slope of the line perpendicular to 5x-2y+4 = 0

2. State the Basic Proportionality Theorem.

3. Expand C.P.U.

SECTION- III

GROUP - A (Geometry, Analytical Geometry, Statistics)

Note: 1. Answer ANY FOUR questions choosing atleast two from each of the following groups. 2. Each question carries FOUR marks. 4 × 4 = 16

1. State and prove Pythagorean Theorem.

2. Find the area of the quadrilateral, whose vertices are (-1, 6), (-3, -9), (5, -8) and (3, 9).

3. Find the equation of the straight line perpendicular to the line joining the points (3, -5), (5, 7) and passing through (2, -3)

4. The following distribution of 100 individuals, according to their age is shown in the following table. Find the Median

GROUP - B

(Trigonometry, Matrices, Computing)

1. Solve the equation 3y = 4 - 2x and x = 4 by using Cramer's method.

2. Gopal purchased a radio set of Rs. 500 and sold it for Rs. 600. Execute a flow chart using this data to determine loss or gain and its percentage.

SECTION- IV

Note: 1. Answer ANY ONE question from the following

1. The question carries FIVE marks. 1 × 5 = 5

2. Construct a cyclic quadrilateral ABCD, where AB = 3cm BC = 6cm, AC = 4cm and AD = 2cm.

3. The relation among Mean, Median and Mode is [ ]

A) Mean = 3 Mode - 2 Median B) Median = 3 Mean - 2 Mode

C) Mode = 3 Mean - 2 Median D) Mode = 3 Median - 2 Mean

4 Small transistors are used in -- generation of computers [ ]

A) First B) Second C) Third D) Fourth

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