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Short questions for mathematics practice paper and example to the class 10...
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Class 10 practice session questions for annual examination revision notes questions...here..
Q1. Find the area of a triangle whose vertices are given as (1, – 1) (– 4, 6) and (– 3, – 5).
Q2. The larger of two supplementary angles exceeds the smaller by 18°. Find the both angles
Q3. Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.
Q4. Find all zeroes of the polynomial (2x4– 9x3+5x2+3x-1) if two of its zeroes are (2 +√ 3) and (2 – √3).
Q5. If A(–5, 7), B(–4, –5), C(–1, –6) and D(4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
Q6. Prove that the lengths of tangents drawn from an external point to a circle are equal.
Q7. circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA
Q8. 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 find the coordinates of P and Q.
Q9. first term of an A.P. is 5, the last term is 45 and the sum of all its
terms is 400. Find the number of terms and the common difference of the A.p
Q10. The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the Frustum.
Q11. The dimensions of a solid iron cuboid are 4·4 m × 2·6 m ×1·0 m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe.
Q12. Two different dice are tossed together. Find the probability that the product of the two numbers on the top of the dice is 6.
Q13. the relation between x and y if the points A(x, y), B(– 5, 7) and C(– 4, 5) are collinear.
Q14. an AP, if S5+ S7 = 167 and S10 = 235, then find the AP, where Sn denotes the sum of its first n terms.
Q15. The points A(4, 7), B(p, 3) and C(7, 3) are the vertices of a right triangle, right-angled at B. Find the value of p.
Q16. Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60°. Also find the area of the corresponding major segment
Q17. what value of n, are the nth terms of two A.Ps 63, 65, 67,... and
3, 10, 17,... equal ?
Q18. A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapesit in the form of a sphere. Find the radius of the sphere and hence find the surface area of this sphere.
Q19. Calculate the Mean. mode and Median
Class interval 10 – 15 15 – 20 20 –25 25 – 30 30 – 35
Frequency 4 7 20 8 1
Q20. ABC is a right triangle in which < B = 90° If AB = 8 cm and BC = 6 cm, find the diameter of the circle inscribed in the triangle.
Q21. The sum of the areas of two squares is 640 m2 If the difference of their perimeters is 64 m, find the sides of the square.
Q22. There are two poles, one each on either bank of a river just opposite to each other. One pole is 60 m high. From the top of this pole, the angle of depression of the top and foot of the other pole are 30°and 60°respectively. Find the width of the river and height of the other pole.
Q23. Prove that : (sinA + 1 + cos A)(sinA – 1 + cosA) . secA cosec A = 2
Q24. Prove that a}. √5. B}. 3+√5. C}. 1/√7. Is an irrational numbers
Q25. If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.
Q26. In what ratio does the point P(– 4, y) divide the line segment joining the points A(– 6, 10) and B(3, – 8) ? Hence find the value of y
Q27.. Find the sum of first 8 multiples of 3.
Q28. (sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan2 A+ cot2A
Q29. In ∆ PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
Q30. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius.The total height of the toy is 15.5 cm. Find the total surface area of the toy.
3 Median = Mode + 2 Mean
Practice CBSE Class 10 Sample Papers and get familiar with the actual exam. Discover your weak areas and work on it. Boost your confidence and reduce the fear of exam.
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https://drive.google.com/file/d/1FWV1Wtr24A8Avdhf37f2F3PDs3p3Wue5/view?usp=drivesdk
https://drive.google.com/file/d/1Fg4_4tINfennKXjAweXu-0azbkH6yJ7E/view?usp=drivesdk
https://drive.google.com/file/d/1Fg8rETaFD7ec2zqNzpsvzv1Rk3ftv8kJ/view?usp=drivesdk
https://drive.google.com/file/d/1FjyecTiOdcmj8WuDZz1u9ulj8etdO0IN/view?usp=drivesdk
https://drive.google.com/file/d/1FkCZKr8DZe327ca5yK761i7-wxoi0Bcx/view?usp=drivesdk
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