10 th MATHS SPECIAL TEST I. Geometry, Graph and One Mark (Unit: 2,3,5,6,7) , then the 13th term of the A.P is A) = 3 2 C) 0 D) 1

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1 Time: Hour ] 0 th MATHS SPECIAL TEST I Geometry, Graph and One Mark (Unit:,3,5,6,7) [ Marks: 50 I. Answer all the questions: ( 30 x = 30). If a, b, c, l, m are in A.P. then the value of a b + 6c l + m is A) 0 B) C) D) 3. If a, a, a 3, are in A.P. such that a, then the 3th term of the A.P is A) 3 B) 7 a 7 = 3 C) 0 D) 3. The common ratio of the G.P. a m n, a m, a m+n is A) a m B) a m C) a n D) a n. The 8 th term of the sequence,,, 3, 5, 8, is A) B) 3 C) D) 5 5. If x, x +, 3x + 3, are in G.P., then 5x, 0x + 0, 5x + 5, form A) a G.P. B) an A.P. C) neither A.P. nor G.P. D) a constant sequence 6. If the third term of a G.P. is, then the product of the first 5 terms are A) 5 B) 5 5 C) D) 5 7. The square root of 9(x xy + y ) is A) 7 x y B) 7(x + y)(x y) C) 7(x y) D) 7(x + y) 8. The common root of the equations x bx + c = 0 and x + bx a = 0 is c a c+a A) B) C) c+a D) c a b b a a 9. The sum of two zeros of the polynomial f(x) = x + (p + 3)x + 5 is zero, then the value of p is A) 3 B) 3 C) D) 0. A system of two linear equations in two variables is inconsistent, if their graphs A) Cut the x axis B) intersect only at a point C) coincide D) do not intersect at any point. The GCD of (x 3 + ) and (x ) is A) x B) x + C) x 3 + D) x 3. The remainder when x x + 7 is divided by x + A) 3 B) 9 C) 30 D) 8 3. Area of the triangle formed by the points (0, 0), (, 0) and (0, ) is A) 6 sq. units B) 8 sq. units C) sq. units D) sq. units. If a straight line y = x + k passes through the point (, ), then the value of k is equal to A) B) C) 0 D) 3 5. The x and y intercept of the line x 3y + 6 = 0, respectively are A) 3, B) 3, C) 3, D) 3, 6. The centroid of the triangle with vertices at (, 5), (, ) and (0, ) is A) (, ) B) (, ) C) (3, 3) D) (, ) 7. The value of k if the straight lines 3x + 6y + 7 = 0 and x + ky = 5 are perpendicular is A) B) C) D) 8. The point of intersection of the straight lines 9x y = 0 and x + y 9 = 0 is A) (,7) B) (, 7) C) (, 7) D) (, 7)

9. If the tangents PA and PB from an external point P to circle with centre O are inclined to each other at an angle of 0 then POA = A) 50 B) 60 C) 70 D) 80 0.

2 9. If the tangents PA and PB from an external point P to circle with centre O are inclined to each other at an angle of 0 then POA = A) 50 B) 60 C) 70 D) The perimeters of two similar triangles are cm and 8 cm respectively. If one side first triangle is 8 cm, then the corresponding side of the other triangle is A) 3 cm B) 6 cm C) 9 cm D) cm. ABC is a right angled triangle where B = 90 and BD AC. If BD = 8 cm, AD = cm, then CD is A) cm B) cm C) 8 cm D) 6 cm. If a straight line intersects the sides AB and AC of a ABC at D and E respectively and is parallel to BC, then AE AC = A) AD AB B) AD DB C) AD EC D) AD AC 3. Triangles ABC and DEF are similar. If their areas are 00cm and 9 cm respectively and BC is 8.cm then EF= A) 5.7cm B) 5.7cm C) 6.7cm D) 6.7cm. In the figure, the value x is equal to A) 0. B). C). D) (cos θ )(cot θ + ) + = A) B) 0 C) D) None of the above 6. 9 tan θ 9 sec θ = A) 0 B) C) 9 D) 9 7. ( sin θ) sec θ= A) B) 0 C) D) sin θ 8. If x = asecθ, y = btanθ, then the value of x a b A) B) 0 C) D) tan θ 9. +tan θ +cot θ = A) tan θ B) cot θ C) sin θ D) cos θ 30. sin θ = A) tanθ B) cotθ C) sinθ D) cosθ +cosθ II. Answer both the questions: ( x 0 = 0) 3. Draw a circle of diameter 0cm. From a point P, 3cm away from its centre, draw the two tangents PA and PB to the circle, and measure their lengths. 3. A bank gives 0% S.I. on deposits for senior citizens. Draw the graph for the relation between the sum deposited and the interest earned for one year. Hence find, i) The interest on the deposit of Rs.650 ii)the amount to be deposited to earn an interest of Rs.5 ***M.Palaniyappan, MSc,BEd,MPhil, BT (Maths), SGHSS, Nerkuppai, Sivagangai Dt.***

3 Time: Hour ] 0 th MATHS SPECIAL TEST II Geometry, Graph and One Mark (All Units) [ Marks: 50 I. Answer all the questions: ( 30 x = 30). If A = {p, q, r, s}, B = {r, s, t, u}, A B is A) {t, u} B) {p, q, r, s} C) {p, q} D) {r, s}. If f(x) = x + 5, then f( ) = A) 0 B) C) 0 D) 3. If k +, k 6, 3k are the three consecutive terms of an A.P, then the value of k is A) 5 B) C) 3 D). The sequence 3, 3, 3 is A) neither A.P. nor G.P. B) both A.P. and G.P. C) an A.P. only D) a G.P. only 5. If the n th term of an A.P. is t n = 3 5n, then the sum of the first n terms is A) n ( + 5n) B) n C) 5n ( n) D) 5n ( n) 6. If the product of the first four consecutive terms of a G.P. is 56 and if the common ratio is and the first term is positive, then its 3 rd term is A) 3 B) 6 C) 8 D) 7. If α, β are the roots of ax + bx + c = 0, where a 0, then the wrong statement is A) α + β = b ac B) αβ = c C) α + β = b D) α + β = b a a a a x 8. On dividing 5 x+5 by is equal to x+3 x 9 A) (x + 5)(x 3) B) (x 5)(x + 3) C) (x + 5)(x + 3) D) (x 5)(x 3) 9. The square root of x y 8 z 6 (l m) is A) x y z 3 (l m) B) x y z 6 l m C) x y z 3 (l m) D) x y z 3 l m 0. Let b = a + c. Then the equation ax + bx + c = 0 has equal roots, if A) a = c B) a = c C) a = c D) a = c. If a matrix is of order 3, then the number of elements in the matrix is A) B) 3 C) 5 D) 6. ( 0 0 ) (a b c d ) = ( 0 ) then the values of a, b, c and d respectively are 0 A), 0, 0, B), 0, 0, C), 0, 0, D), 0, 0, 3. The equation of the straight line passing through the point (, 7) and parallel to x- axis is A) y = 7 B) y = 7 C) x = 7 D) x = 7. The centre of a circle is ( 6, ). If one end of the diameter of the circle is at (, 8), then the other end is at A) ( 8, ) B) ( 3, ) C) ( 9, 6) D) None of the above 5. The point of intersection of the straight lines y = 0 and x = is A) (0, ) B) (, 0) C) (0, ) D) (, 0) 6. If the points (, 5), (, 6) and (a, a) are collinear, then the value of a is equal to A) B) C) 8 D) 8 7. AB and CD are two chords of a circle which when produced to meet at a point P such that AB = 5 cm AP = 8 cm CD = cm, then PD = A) cm B) 5 cm C) 6 cm D) 8 cm

4 8. In ABC, DE is to BC, meeting AB and AC at D and E. If AD= 3cm, DB=cm and AE=.7cm, then AC is equal to A) 3.5cm B) 6.5cm C) 5.5 cm D).5cm 9. In the figure, if PAB = 0 then BPT= A) 0 B) 60 C) 0 D) A point P is 6 cm away from the centre O of a circle and PT is the tangent drawn from P to the circle is 0 cm, then OT is equal to A) cm B) 0 cm C) 8 cm D) 0 cm. A man is 8.5 m away from a tower. His eye level above the ground is.5m. The angle of elevation of the tower from his eyes is 5. Then the height of the tower is A) 7 m B) 8.5 m C) 30 m D) 7.5 m. ( + tan θ) sin θ = A) tan θ B) cos θ C) sin θ D) cot θ 3. sin(90 θ)sinθ + cos(90 θ)cosθ = A) B) 0 C) D) sinθ tanθ cotθ. ( + tan θ)( sinθ)( + sinθ) = A) cos θ sin θ B) sin θ + cos θ C) sin θ + tan θ D) sin θ cos θ 5. The total surface area of a solid hemisphere of diameter cm is equal to A) 3π cm B) π cm C) 8π cm D) π cm 6. If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio A) 8: B) : C) :8 D) : 7. Mean and the standard deviation of a data are 8 and respectively. The coefficient of variation is A) 8 B) C) 8 D) 5 8. Standard deviation of a collection of data is. If each value is multiplied by 3, then the standard deviation of the new data is A) 6 B) 3 C) 6 3 D) 9. Probability of getting 3 heads or 3 tails in tossing a coin 3 times is A) 3 8 B) If φ is an impossible event, then P(φ) = A) 0 B) 0.5 C) 0.5 D) II. Answer both the questions: ( x 0 = 0) C) 8 3. Construct a ABC such that BC = 5cm. BAC = 0 and the median from A to BC is 6cm. Also, measure the length of the altitude from A. 3. Draw the Graph of xy = 0, x, y > 0. Use the graph to find y when x = 5, and to find x when y = 0. D) ***M.Palaniyappan, MSc,BEd,MPhil, BT (Maths), SGHSS, Nerkuppai, Sivagangai Dt.***

5 Time: Hour ] 0 th MATHS SPECIAL TEST III Geometry, Graph and One Mark (All Units) [ Marks: 50 I. Answer all the questions: ( 30 x = 30). For any two sets A and B, {(A\B) (B\A)} (A B) is A) A B B) A B C) A B D). If n(a) = 0, n(b) = 30 and n(a B) = 0, then n(a B) is equal to A) 30 B) 0 C) 0 D) 0 3. If a, b, c are in A.P. then a b is equal to b c A) B) a C) b D) a c c b. If n = k then n 3 is equal to A) k(k+) B) k C) (k + ) 3 D) k 3 5. If the n th term of a sequence is 00n + 0, then the sequence is A) a constant sequence B) an A.P. C) a G.P. D) neither A.P. nor G.P. 6. The next term of 0 in the sequence, 6,, 0 is A) 30 B) C) 8 D) 7. If one zero of the polynomial p(x) = (k+)x +3x + 3k is reciprocal of the other, then k is equal to A) B) 3 C) D) 5 8. The LCM of a k, a k+3, a k+5 where k N is A) a k B) a k+5 C) a k+6 D) a k+3 9. If x + 5kx + 6 = 0 has no real roots, then A) 0 < k < 8 5 B) 8 < k < C) 8 k D) 8 < k < The quotient when x 3 5x + 7x is divided by x is A) x x 3 B) x + x 3 C) x + x + 3 D) x x + 3. If ( 5 x ) ( ) = (0), then the value of x is 3 A) 7 B) 7 C) 7 D) 0. If A is of order 3 and B is of order 3, then the order of BA is A) 3 B) 3 C) D) Slope of the line joining the points (3, ) and (, a) is 3, then the value of a is equal to A) B) 3 C) D). The midpoint of the line joining (a, b) and (3a, 5b) is A) (a, b) B) (a, b) C) (a, b) D) (a, b) 5. The angle of inclination of a straight line parallel to x- axis is equal to A) 90 B) 60 C) 30 D) 0 6. The equation of a straight line having slope 3 and y-intercept is A) 3x y + = 0 B) 3x y = 0 C) 3x + y = 0 D) 3x + y + = 0 7. The sides of two similar triangles are in the ratio : 3, then their areas are in the ratio A) : 3 B) 3: C) : 9 D) 9:

6 8. The areas of two similar triangles are 6 cm and 36 cm respectively. If the altitude of the first triangle is 3 cm, then the corresponding altitude of the other triangle is A) cm B).5 cm C) 6 cm D) 6.5 cm 9. If a vertical stick m long casts a shadow 8 m long on the ground and at the same time a tower casts a shadow 0 m long on the ground, then the height of the tower is A) 0 m B) 50 m C) 60 m D) 75 m 0. The perimeter of two similar triangles ABC and DEF are 36 cm and cm respectively. If DE= 0 cm, then AB is A) 5 cm B) 8 cm C) 0 cm D) cm. sin(90 θ)cosθ + cos(90 θ)sinθ = A) B) 0 C) D) None of the above. ( cos θ)( + cot θ) = A) cos θ B) cot θ C) 0 D) 3. If tanθ = a x, then the value of x a +x = A) cosecθ B) secθ C) cosθ D) sinθ. In the adjoining figure, ABC= A) 60 B) 50 C) 5 D) If the volume and the base area of a right circular cone are 8π cm 3 and π cm respectively, then the height of the cone is equal to A) cm B) π cm C) π cm D) 8π cm 3 6. Curved surface area of solid sphere is cm. If the sphere is divided into two hemispheres, then the total surface area of one of the hemispheres is A) cm B) 8 cm C) 8 cm D) 6 cm 7. Variance of the first natural number is A) 5 B) 0 C) 5 D) 0 8. The range of the first 0 prime numbers, 3, 5, 7,, 3, 7, 9, 3, 9 is A) 9 B) 7 C) 3 D) 3 9. Probability of sure event is A) 0 B) 0. C) 0.0 D) 30. The probability that a student will score centum in mathematics is 5. The probability that he will not score centum is A) 3 5 B) 5 C) 5 D) 5 II. Answer both the questions: ( x 0 = 0) 3. Construct a ABC such that AB = 6cm, C = 0 and the altitude from C to AB is of length.cm 3. The cost of the milk per litre is Rs.0. Draw the graph for the relation between the quantity and cost. Hence find, (i) The proportionality constant (ii) The cost of 3 litres of milk. ***M.Palaniyappan, MSc,BEd,MPhil, BT (Maths), SGHSS, Nerkuppai, Sivagangai Dt.***

7 SPECIAL TEST I ANSWER KEY SPECIAL TEST II ANSWER KEY SPECIAL TEST III ANSWER KEY. A) 0. C) 0 3. D) a n. A) 5. A) a G.P.. C) {p, q}. D) 3. C) 3. B) both A.P. and G.P. 5. B) n ( 5n) 6. D) 5 6. C) 8 6. A) 7. C) 7(x y) 7. D) α + β = b 30 a 7. D) c+a 8. B) b 8. D) (x 5)(x 3) 8. B) a k+5 9. A) 3 9. A) x y z 3 (l m) 9. B) 8 < k < D) Do not intersect 0. B) a = c 0. D) x x + 3 at any point. D) 6. B) x +. C),0,0,. A) 7. A) 3 3. B) y = 7. C) 3. D) Sq. units. D) None of the Above 3. A). C) 0 5. D) (, 0). D) (a, b) 5. D) 0 5. A) ( 3, ) 6. C) 8 6. B) 3x y = 0 6. B) (, ) 7. A) cm 7. C) : 9 7. D) 8. D).5 cm 8. D) (, 7) 9. B) B).5 cm 9. C) A) cm 9. C) 60 m 0. B) 6 cm. C) 30 m 0. A) 5 cm. D) 6 cm. A) tan θ. C) AD. D). A) 3. C) AB. B) sin 3. A) 5.7 cm θ + cos 3. C) cosθ θ. D) A) 3π cm. A) A) cm 5. B) 0 6. C) : 8 6. C) 8 cm 6. C) 9 7. D) 5 7. B) 0 7. C) 8. A) 6 8. B) 7 8. C) 9. D) 9. D) 9. A) tan θ 30. A) C) 30. D) cosθ 5 **PREPARED BY** M.PALANIYAPPAN, MSc., BEd., M.Phil., BT. (Maths), SGHSS, NERKUPPAI, SVG Dist., Mobile: D). C) 0 3. A). B) k 5. B) an A.P.

4) If ax 2 + bx + c = 0 has equal roots, then c is equal. b) b 2. a) b 2

4) If ax 2 + bx + c = 0 has equal roots, then c is equal. b) b 2. a) b 2 Karapettai Nadar Boys Hr. Sec. School One Word Test No 1 Standard X Time: 20 Minutes Marks: (15 1 = 15) Answer all the 15 questions. Choose the orrect answer from the given four alternatives and write