CBSE GUESS PAPER STD 10

CBSE Mathematics Examination 

Class X                                                                                                      Maximum Marks: 80

Time: 3 Hours

General Instructions

All questions are compulsory.

The question paper consists of 30 questions divided into four sections A, B, C, and D. Section A contains 10 questions of 1 mark each, Section B contains 5 questions of 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 5 questions of 6 marks each.

There is no overall choice. However, an internal choice has been provided in one question of 2 marks, three questions of 3 marks and two questions of 6 marks each.

In questions on construction, the drawing should be neat and exactly as per given measurements.

Use of calculators is not allowed.

23-coordinate geometry

If the points A (1, –2), B (2, 3) C (a, 2) and D (– 4, –3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.

22-coordinate geometry

If (-4, 3) and (4, 3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

21-coordinate geometry

The mid-points D, E, F of the sides of a triangle ABC are (3, 4), 

(8, 9) and (6, 7). Find the coordinates of the vertices of the triangle.

                        

20-coordinate geometry

Find the ratio in which the line 2x + 3y – 5 = 0 divides the line segment joining the points (8, –9) and (2, 1). Also find the coordinates of the point of division.

19-coordinate geometry

Find the values of k if the points A (k + 1, 2k), B (3k, 2k + 3) and 

C (5k – 1, 5k) are collinear.

18 coordinate geometry

If (a, b) is the mid-point of the line segment joining the points 

A (10, –6) and B (k, 4) and a – 2b = 18, find the value of k and the distance AB.

17coordinate geometry

If the points A (1, 2), O (0, 0) and C (a, b) are collinear, then

(A) a = b          (B) a = 2b       (C) 2a = b       (D) a = –b

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16 Coordinate Geometry

 The area of a triangle with vertices (a, b + c), (b, c + a) and 

(c, a + b) is

(A) (a + b + c)²     (B) 0                (C) a + b + c               (D) abc

15-coordinate Geometry

A line intersects the y-axis and x-axis at the points P and Q, respectively.If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively

(A) (0, – 5) and (2, 0)                          (B) (0, 10) and (– 4, 0)          

                                                           

(C) (0, 4) and (– 10, 0)                        (D) (0, – 10) and (4, 0)

14-coordinate geometry

The perpendicular bisector of the line segment joining the points A (1, 5) and B (4, 6) cuts the y-axis at

(A) (0, 13)        (B) (0, –13)     (C) (0, 12)        (D) (13, 0)

13-Coordinate Geometry

If the point P (2, 1) lies on the line segment joining points A (4, 2) and B (8, 4), then 

 

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12-coordinate geometry

The fourth vertex D of a parallelogram ABCD whose three vertices are A (–2, 3), B (6, 7) and C (8, 3) is

(A) (0, 1)          (B) (0, –1)       (C) (–1, 0)       (D) (1, 0)

11-coordinate geometry

The point which lies on the perpendicular bisector of the line segment joining the points A (–2, –5) and B (2, 5) is

(A) (0, 0)          (B) (0, 2)         (C) (2, 0)         (D) (–2, 0)

IPM , IMO STD V

Nanu visits a grocery store. With the money in per purse, if she buys 6 kgs of rice, she will be short by Rs 6, and if she buys 8 kgs of rice, then she will be short by Rs 14. What is the money Nanu is carrying in her purse?

Mean

The average of 13 observations is 23. The average of the first 7 observation is 27 and the average of the last 7 observation is 24. What is the value of the seventh observation?

Simultaneous equation

Two persons A and B  are 27 km apart, setting out at the same time, are together in 9 hours if they walk in the same direction, but in 3 hours if they walk in opposite directions. Find their rate of walking.

Simultaneous equation

A, B and C travel from the same place at the rates of 5, 6 and 8 km/hr respectively. If B starts 2 hours after A, how long after B must C start in order that they may overtake A at the same instant?

algebraic identity

If a+ b + c = 0, then find the value of a³ + b³ + c³

algebric identity

Show that if if a+ b + c = 5 and ab + bc + ca = 10,

 then a³ + b³ + c³ -3abc = -25