CBSE Guess Paper 2008 class X Mathematics 1

Guess Paper - 2008

Class - X

Subject - Mathematics

Time:3hrs Max.Marks:80

General Instructions

1. All questions compulsory

2. The question paper consist of thirty questions divided in to 4 sections A,B,C and D. Section A comprises of ten questions of 1 marks each ,Section B comprises of five questions of 2 marks each, Section C comprises of ten questions of 3 marks each and section D comprises of five questions of 6 marks each

3. All questions in section A are to be answered in one word , one sentence or as per the exact requirement of the question

4. there is no overall choice .However internal choice has been provided in one question of 2 marks each ,three question of three marks each and two questions of 6 marks each .You have to attempt only one of the alternatives in all such questions.

5. In question on construction ,drawings should be neat and exactly as per the given measurements

6. Use of calculators is not permitted .However you may ask for mathematical tables


  1. is a composite number because ………………………
  2. If H.C.F.(26,91)=13, find the L.C.M.(26,91).
  3. Find the value of k if has equal roots
  4. Express in terms of trigonometric ratios of angles between 00 and 450
  5. How many terms of the AP will give the sum zero.
  6. If each side of an equilateral triangle is ‘2a’ units, what is the length of its altitude?

  1. In the given figure DE is parallel to BC and determine
  2. A circle is inscribed in having sides AB = 8 Cm ,BC = 10 Cm , and AC= 12 Cm

as shown in the figure find AD , BE and CF

  1. One letter is selected at random from the word ‘UNNECESSARY’. Find the probability of selecting an E
  2. If the mean of n observations is then find


  1. Find the value of k for which the system of equations has infinite number of solutions

  1. Without using trigonometric table find the value of

  1. Determine the ratio in which the point divides the join of and also find the value of a
  2. In the figure ,AB parallel to DE and BD parallel to EF , is justify your answer
  3. In a single throw of two dice , find the probability of getting

i) Two heads ii) At least one heads


  1. Find the HCF of 426 and 576 using Euclid’s division algorithm


Prove that no number of the type be perfect square

  1. m and n are zeros of . Find the values a and c if
  2. Draw the graph of and and show that there is a unique solution .Calculate the area bounded by these lines and x-axis
  3. A polygon has 10 sides .The lengths of the sides starting with the smallest form an AP .If the perimeter of the polygon is 420 Cm and the length of the longest side is twice that of the shortest side .Find the first term and the common difference of the AP
  4. Prove that OR

Prove that , Using the identity

  1. Observe the graph and state whether the quadrilateral ABCD is a parallelogram .Justify your answer .

  1. Find the area of the triangle formed by joining the mid points of the sides of the sides of triangle whose vertices are
  2. Draw a triangle ABC with side , then construct a triangle whose sides are times the corresponding sides of
  3. Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle
  4. A regular hexagon is circumscribed by a circle of radius 14 Cm .Find the area of the shaded region .OR

A square ABCD is inscribed in a circle of radius 10 units .Find the area of the circle , not included in the

square (use )


  1. A train covers a distance of 90 Km at uniform speed .Had the speed been 15 Km /hr more . it would have taken 30 minutes less for the journey find the original speed of the train


A party of tourists booked a room in a hotel for Rs 1200 , three of the members failed to pay as a result others had to pay Rs 20 more (each) . How many tourists were there in the party

  1. The angle of elevation of a jet plane from a point A on the ground is .After a flight of 15 seconds , the angle of elevation changes to .If the jet plane is flying at a constant height of , find the speed of the jet plane OR

From a building 60m heigh the angle of depression of the top and bottom of lamp post are and respectively .Find the distance between lamp post and building ,also find the difference of height between building and lamp post

  1. Prove that in a right triangle , the square of the hypotenuse is equal to the sum of the squares of the other two sides

Using the above solve the following

L and M are the mid points of AB and BC respectively of , right angled at B prove


  1. A building is in the form of a cylinder surmounted by a hemispherical vaulted dome ,the building contains 17.7 m3 of air and its internal diameter is equal to the height of the cylindrical part find the height of the building (use )
  2. Find the median of the following data

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