www.scert.kerala.gov.in : Tenth Standard Class X Maths Sample Question Paper

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Document Described : Maths Question Paper, Kerala Question Paper

Sample Question Paper
Mathematics

MATHEMATICS
STANDARD - X
Instructions :
** Read the instructions given against each question carefully before answering them.
** State the logical reasoning which you have used whereever necessary.
** Choice questions are given for a few questions. Attempt any one of them.
** Use the cool-off time for reading and analysing the questions. Also plan your answers accordingly.

http://www.scert.kerala.gov.in/subject.htm
http://www.scert.kerala.gov.in/quest...athematics.pdf

1. A circle is drawn with centre on the number line. Centre denotes the number 5. The circle cuts the number line at 11. What is the radius of the circle. The circle cuts the number line at a second point. What is the number denoted by the second point of intersection. (1 + 1 = 2 Marks)
6. Prove that no number when added to 13 times of its reciprocal will give the number 7. (3 Marks)
7. (a) What is the 18th term of an Arithmetic progression whose nth term is 3n - 4. (1 Marks)
(b) What is the nth term of the arithmetic progression 12, 18, 24, .....? (1 Marks)
(c) 3n2 + 5n will never be the nth term of an Arithmetic progression. Why? (1 Marks)
8. A man views the top of a tree at an angle of elevation of 45o. Then be walks 40 meters to wards the tree and views the top of the tree at an angle of elevation of 70o. Draw a rough figure based on the above facts. Calculate the height of the tree. (Sin 70 = .94, Cos 70 = .34, Tan 70 = 2.75) (1 + 2 = 3 Marks)
9. When the polynomial P(x) is divided by (x - 5) the quotient is 2x2 - 9x + 16 and the remainder is 36. Based on this fact fill up suitable in
(a) P(x) = (.............) (.............) + 36 ........
(b) Prove that (x - 1) is a factor of P(x) (1 + 2 = 3 Marks)
11. Both coordinates of the centre of a circle drawn are positive numbers. The radius of the circle is 6 cms It touches the x - axis at point (5, 0). Draw a rough figure based on this. Find the coordinates of the centre of the circle. (3 Marks)
13. A plot of land is in the shape of a square. Adjoining one boundary of the plot from one corner to the second a piece of land of width 4 meters is donoted for constructing a road. The area of the remaining plot is 525 sq. meters. Draw a rough figure based on this. Find the length of the original plot. (1 + 3 = 4 Marks)
14. From a circular lamina of radius 60o , a sector of central angle 216o is cut and folded to from a cone.
(a) What measure of the cone will be equal to the radius of the circular lamina. (½ Marks)
(b) What is the radius of the cone formed? (1 ½ Marks)
(c) What is the volume of the cone? (2 Marks)
16. The point A (3,7) and B (8,11) are marked
perpendiculars drawn from A and B to the X axis meets the axis at the points C and D respectively. AE is the perpendicular from A to BD.
(a) Draw a rough figure based on this (1 Marks)
(b) Find the coordinates of C, D and E. (3 Marks)
17. A solid is in the shape of a cylinder fitted with a hemisphere of equal radius on one flat face. The common radius is 3 units. The total height is 15 units.
(a) Draw a rough figure and mark all measures. (1 Marks)
(b) Find the volume of the compound solid. (3 Marks)
18. Perimeter of a rectangular piece of paper is 60 cms. From this a square of maximum area is cut off. The area of the remaining piece of paper is 100 sq. cm. Find the width of the original piece of paper. (4 Marks)
18. Perimeter of a rectangular piece of paper is 60 cms. From this a square of maximum area is cut off. The area of the remaining piece of paper is 100 sq. cm. Find the width of the original piece of paper. (4 Marks)
21. A small cone of radius 3 cms is cut off from a cone of radius 12 cms and height 20 cms.
(a) What is the height of the small cone? (1½ Marks)
(b) What is the volume of the resulting frustrum? (2½ Marks)
23. (A) As a part of an assignment Smitha wrote all multiplies of 8 between 200 and 700. Sateesh wrote all numbers between 200 and 700 which leave a remainder 3 when divided by 8.
Who wrote more numbers? How many more? (2 Marks)
What is the difference between the sum of numbers written by Smitha and the sum of numbers written by Sateesh? (2 Marks)
OR
23. (B) (a) Write an arithmetic progression consisting of 5 terms whose sum is 30. (1 Marks)
(b) Sum of 21 consecutive terms of an arithmetic progression is 420. What will be the 11th term of that progression. (1 Marks)
(c) Sum of the first term and the 20th term of an arithmetic progression is 100. What will be sum of the first 5 terms and the last 5 terms of the above progression?
(2 Marks)
25. (B) (a) What is the number of roots of the equation 3x2 + 7x + 5 = 0. (1 ½ Marks)
(b) Will the value of the polynomial 3x2 + 7x + 5 be equal to zero for any value of x? (½ Marks)
(c) For how many different values of x will the value of the polynomial 2x2 + 10x + 7 be equal to zero? (2 Marks)
26. The length of a hyrange road is 24 kms. The first 3 kms of this road belongs to Mayapuram Panchayath and the last 4 kms belong to Sidhapuram Panchayath. The remaining part belongs to Karnapuram Panchayath. The length of road belonging to Karnapuram Panchayath is to
be tarred. For the first kilometer the cost is 40,000. For each succeeding kilometer the cost exceeds the cost of the proceeding kilometer by Rs. 5,000. What is the total cost for tarring the road. (2½ Marks)
When the work was completed. It was noticed that the work was not upto the standard prescribed. So from the amount due to the constructor an amount of Rs. 400 was reduced for the first kilometer. For each succeeding kilometers an amount of Rs. 50 more than that
of the proceeding kilometer was reduced. What will be the total amount given to the contractor. (2½ Marks)
27. (a) Arc ABC is the complementing are arc of arc ADC of a circle. Ratio of the central angle of these two arcs is 1:5. Find the central angle of each arc. (2 Marks)
(b) Find ? ABC and ? ADC (1 Marks)
(c) If ? DCB is 30 more than double that of ? DAB. Find ? DCB and ? DAB.
(2 Marks)
28. Ramu who is an employee of a company got the following wages in 6 consecutive days. Rs. 80, Rs. 85, Rs. 100, Rs. 110, Rs. 115, Rs. 120. Find the average wage of Ramu for these 6 days. In Ramu’s company there are a total of 100 employees. A table showing details of wages of these 100 employees is given in the following table. Based on that find the average
daily wages of an employee. (1½ + 3½ 5 Marks)
Wages Number of employees
70 - 80 10
80 - 90 20
90 - 100 10
100 - 110 15
110 - 120 25
120 - 130 20
Total 100

[Guest]

please give the address of the site where the answers to the SCERT Cl X maths papers are available or the solutions

[Guest]

please post the solved answers of the answers also.so it will help the students to get an over all idea......

[Guest]

I want to get the questions based on topics in the text book. first i want the questions of arithmetic sequences

[Guest]

I need the guide for all subject in 10th standard. please send your reply.

[Guest]

Is the SSLC kerala syllabus maths text book guide available or not?

[Guest]

Please give me the question of class 10 for Kerala exam.

[Guest]

I want model question paper for maths.

Please send me 10th sample question paper for maths.

You can get the sample question paper for maths from the below link
http://www.indianjobtalks.com/forum/...4&d=1329129590

[Guest]

What is the answer of 6 th one

[Guest]

Please send me the answers for sample papers.

[Unregistered]

Please tell me an arithmetic sequence with first term 7 and sum of its consequtive term is 403?

[Unregistered]

Can i able to get the question papers of std 9 Kerala state board english medium?????

[Unregistered]

x2=4
Find its discriminant?

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How to draw a triangle of sides 4,5,6cm and draw a square of same area?

[Unregistered]

Write a brief introduction about discriminant?

[Unregistered]

Prove that if a pair of opposite angles of a quadrilateral are right,then a circle can be drawn through all four of its vertices?

[Unregistered]

In an arithmetic sequence, the ratio of the 3rd and 6th term is 4:5. Find ratio of 7th team and 11th term?

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Can I get SSLC 2017 SCERT mathematics proof questions and answers?

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How can I draw a square of area 5 square centimeter in 3 ways?

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How many terms of the arithmatic sequence 99,97,95........... must be added to get 900. Please provide the answer.

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5^1×5^3×5^5..........×5^(2n-1)=(25)^72