MATHS QUIZ ( FOR STUDENTS ENTERING GRADE 12 / EQUIVALENT)

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This will give you a very quick revision of some important areas which are essentially required as previous kowledge before entering Grade 12)

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WELCOME : WELCOME

My name is Ignatius George. I am from the Kottayam District of Kerala State, India. : My name is Ignatius George. I am from the Kottayam District of Kerala State, India. I have about 25 years of experience in the art of teaching mathematics in and abroad India.I was a Mathematics Examiner of the ICSE Examinations Council of India in 1992

MATHS QUIZ : MATHS QUIZ

INSTRUCTIONSThis quiz consists of 35 multiple choice questions.Maximum time allowed for each question is 45 secondsAll questions are based on the Grade 11 (plus1) mathematics topics.Each question carries 1 mark. No one is allowed to type the answer in the chat box unless they are asked for.This quiz is uploaded/published in wiziq and facebook as a content assignment. If you need any explanation in respect of any question you can refer it or contact me by e-mail : INSTRUCTIONSThis quiz consists of 35 multiple choice questions.Maximum time allowed for each question is 45 secondsAll questions are based on the Grade 11 (plus1) mathematics topics.Each question carries 1 mark. No one is allowed to type the answer in the chat box unless they are asked for.This quiz is uploaded/published in wiziq and facebook as a content assignment. If you need any explanation in respect of any question you can refer it or contact me by e-mail gntsgeorge@yahoo.co.in

1. Given A={-1 , 0 , 1} , B = {0 , 1} which of the following is a function from A to B [A] {(-1,0), (0,0),(1,0) } [B] {(-1,1), (0,0) , (0,1) , (1,1)} [C] {(-1,1),(0,0), (0,1) } : 1. Given A={-1 , 0 , 1} , B = {0 , 1} which of the following is a function from A to B [A] {(-1,0), (0,0),(1,0) } [B] {(-1,1), (0,0) , (0,1) , (1,1)} [C] {(-1,1),(0,0), (0,1) } Ans: A

2. Which of the following is the right formula used to find the angle between two straight lines ? : 2. Which of the following is the right formula used to find the angle between two straight lines ? ANS : A

3] n log A = ………. [A] log n A [B] log n + log A [C] log An : 3] n log A = ………. [A] log n A [B] log n + log A [C] log An ANS : C

4 ] If P(A) is the Power Set of A = { a , b , c , d } , then n[P(A)] = ……. [A] 4 [B] 8 [C] 16 : 4 ] If P(A) is the Power Set of A = { a , b , c , d } , then n[P(A)] = ……. [A] 4 [B] 8 [C] 16 Ans: C

5 ] The value of sin is [A] ½[B] – ½ [c] : 5 ] The value of sin is [A] ½[B] – ½ [c] Ans: A

6]The line through ( 3 , y) and ( 2 , 7 ) is parallel to the line passing through (-1 , 4 ) and ( 0,6).Find the value of y. [A] 2 [B] 7 [C] 9 : 6]The line through ( 3 , y) and ( 2 , 7 ) is parallel to the line passing through (-1 , 4 ) and ( 0,6).Find the value of y. [A] 2 [B] 7 [C] 9 Ans: C

I take online tuitions from grade 7 to grade 12 (CBSE /Cmbridge / Equivalent ) : I take online tuitions from grade 7 to grade 12 (CBSE /Cmbridge / Equivalent ) In case you need a mathematics tutor, you can contact me using any of the following means: e- mail gntsgeorge@yahoo.co.in y/Messenger : gntsgeorgexx@yahoo.in skype: georgeignatius9 google talk: georgeignatiusxx Tel: + 9104812790195

7] The value of 100C98 is [A] 9900 [B] 9800 [C] 4950 : 7] The value of 100C98 is [A] 9900 [B] 9800 [C] 4950 Ans: C

8]Let f = { ( 1,1) , ( 2,3), (0,-1), (-1 , - 3) } be a linear function from Z to Z.Which of the following represents the same function given above ? [A] f(x) = 2x - 1 [B] f(x) = 2x + 1 [C] f(x) = 2x - 3 : 8]Let f = { ( 1,1) , ( 2,3), (0,-1), (-1 , - 3) } be a linear function from Z to Z.Which of the following represents the same function given above ? [A] f(x) = 2x - 1 [B] f(x) = 2x + 1 [C] f(x) = 2x - 3 Ans: A

9]Which of the following is equal to cos 2A ? : 9]Which of the following is equal to cos 2A ? Ans: C

10]The slope of any line perpendicular to the line 3x + 15 y = 6 will be[A] 5[B] -1/5[c] -2/5 : 10]The slope of any line perpendicular to the line 3x + 15 y = 6 will be[A] 5[B] -1/5[c] -2/5 Ans: A

11]Given y = x tan x. Then dy/dx will be equal to[A] = sec2x[B] = x( secx + tanx )[C] = x sec2x + tanx : 11]Given y = x tan x. Then dy/dx will be equal to[A] = sec2x[B] = x( secx + tanx )[C] = x sec2x + tanx Ans:C

12] 1 + Cos 2A = ………………. [A] 2 sinA cosA [B] 2 sin2A [C] 2 cos2A : 12] 1 + Cos 2A = ………………. [A] 2 sinA cosA [B] 2 sin2A [C] 2 cos2A Ans: C

13] Slope of the line passing through ( a , 0) and ( 0 , b ) is [A] a/b [B] – a/b [C] – b/a : 13] Slope of the line passing through ( a , 0) and ( 0 , b ) is [A] a/b [B] – a/b [C] – b/a Ans: C

14] Sin 3A = -------------------[A] 3 sin A – 4 sin3A[B] 4 sin3A – 3 sin A[c] 4 sin3A – 3 cos3A : 14] Sin 3A = -------------------[A] 3 sin A – 4 sin3A[B] 4 sin3A – 3 sin A[c] 4 sin3A – 3 cos3A Ans: A

15]Two dice are thrown at the same time and the numbers that appear at the top are noted. The probability of obtaining 10 as the sum of these numbers is[A] 1/3[B] 1/ 6[C] 1/12 : 15]Two dice are thrown at the same time and the numbers that appear at the top are noted. The probability of obtaining 10 as the sum of these numbers is[A] 1/3[B] 1/ 6[C] 1/12 Ans: C

16] The derivative of 1/ x is [A] 1/ x2[B] - 1/ x2[C] – 2 / x2 : 16] The derivative of 1/ x is [A] 1/ x2[B] - 1/ x2[C] – 2 / x2 Ans: B

17] The equation of a circle is x2 +y2 + 8x + 6y - 75 = 0. The radius of this circle is [A] 5 [B] 10 [C] : 17] The equation of a circle is x2 +y2 + 8x + 6y - 75 = 0. The radius of this circle is [A] 5 [B] 10 [C] Ans: B

18] Which of the following is true with the value of the mathematical constant, ‘ e ’ ?[A] 2 < x < 3[B] 3 < x < 4[C] 4 < x < 5 : 18] Which of the following is true with the value of the mathematical constant, ‘ e ’ ?[A] 2 < x < 3[B] 3 < x < 4[C] 4 < x < 5 Ans: A

19] The ends of the major axis of an ellipse are (- 5 , 0 ) and ( 5 , 0) .And the ends of its minor axis are (-2 , 0) and ( 2 ,0). The equation of this ellipse is : 19] The ends of the major axis of an ellipse are (- 5 , 0 ) and ( 5 , 0) .And the ends of its minor axis are (-2 , 0) and ( 2 ,0). The equation of this ellipse is Ans: B

20] A function f is given by f(x) = 2 x2 – x – 9 = 0.Which of the following describes the nature of the roots of f(x) = 0 ?[A] no real roots[B] Real distinct roots.[C] rational distinct roots : 20] A function f is given by f(x) = 2 x2 – x – 9 = 0.Which of the following describes the nature of the roots of f(x) = 0 ?[A] no real roots[B] Real distinct roots.[C] rational distinct roots Ans: B

21]The line with equation y = 2x intersects the circle with equation x2 + y2 = 5 at points J and K.What are the x- coordinates of J and K ? [A] 1 and -1 [B] 2 and -2 [C] 1 and -2 : 21]The line with equation y = 2x intersects the circle with equation x2 + y2 = 5 at points J and K.What are the x- coordinates of J and K ? [A] 1 and -1 [B] 2 and -2 [C] 1 and -2 Ans: A

22] There are two distinct roads from town A to town B. From town B , one can drive to town C by three distinct roads again. How many different routes one motorist can take to drive from town A to town B ? [A] 3 [B] 5 [C] 6 : 22] There are two distinct roads from town A to town B. From town B , one can drive to town C by three distinct roads again. How many different routes one motorist can take to drive from town A to town B ? [A] 3 [B] 5 [C] 6 Ans : C

23] For what values of x is 6 + x – x2 < 0 ?[A] x > 3 only[B] x < - 2 only[C] x < - 2 , x > 3 : 23] For what values of x is 6 + x – x2 < 0 ?[A] x > 3 only[B] x < - 2 only[C] x < - 2 , x > 3 Ans C

24] Two straight lines with slopes m1 and m2 will be perpendicular [A] if m1m2 = -1 [B] if m2 = 1/m1 [C] if m1= - m2 : 24] Two straight lines with slopes m1 and m2 will be perpendicular [A] if m1m2 = -1 [B] if m2 = 1/m1 [C] if m1= - m2 Ans: A

Given the function f : R ? R byy = x2 , x R. The Range of this function f is[A] { x : x 1 , x R }[B] { x : x 0 , x R }[C] R – { 0 } : Given the function f : R ? R byy = x2 , x R. The Range of this function f is[A] { x : x 1 , x R }[B] { x : x 0 , x R }[C] R – { 0 } Ans: B Given the function f : R ? R byy = x2 , x R. The Range of this function f is[A] { x : x 1 , x R }[B] { x : x 0 , x R }[C] R – { 0 }

26] The least integer value satisfying the inequality, 3x – 7 < 5x – 1 is[A] -2[B] -3[C] -4 : 26] The least integer value satisfying the inequality, 3x – 7 < 5x – 1 is[A] -2[B] -3[C] -4 Ans: A

27.Which of the following statements is not true when three points A , B and C are collinear ?[A] Area of the triangle ABC formed by the given points will be zero[B] When AB + BC > AC.[C] When AB + BC = AC : 27.Which of the following statements is not true when three points A , B and C are collinear ?[A] Area of the triangle ABC formed by the given points will be zero[B] When AB + BC > AC.[C] When AB + BC = AC Ans: B

28] Let E and F are any two events such that P(E) = ¼ , P(F) ½ and P(E and F) = 1/8.Then P(E or F) will be [A] ¾ [B] 5/8 [C] 7/8 : 28] Let E and F are any two events such that P(E) = ¼ , P(F) ½ and P(E and F) = 1/8.Then P(E or F) will be [A] ¾ [B] 5/8 [C] 7/8 Ans: B

29] 4th term in the expansion of (x – 2y)12 is ……….. [A] 12C4 x8 y4 [B] - 264 x9 y3 [C] -1760 x9 y3 : 29] 4th term in the expansion of (x – 2y)12 is ……….. [A] 12C4 x8 y4 [B] - 264 x9 y3 [C] -1760 x9 y3 Ans: C

30] The slope of a line passing through the point (-2 , 5 ) is 3 . Which of the following is the equation of this line ? [A] ( y – 5 ) = 3 ( x + 2 ) [B] ( y + 5 ) = 3 ( x - 2) [C ] y/3 + x/2 = 3 : 30] The slope of a line passing through the point (-2 , 5 ) is 3 . Which of the following is the equation of this line ? [A] ( y – 5 ) = 3 ( x + 2 ) [B] ( y + 5 ) = 3 ( x - 2) [C ] y/3 + x/2 = 3 Ans: A

31] Which of the following is the derivative of sin x cos x ? [A] cos 2x[B] sin 2x[C] sin2x - cos2x : 31] Which of the following is the derivative of sin x cos x ? [A] cos 2x[B] sin 2x[C] sin2x - cos2x Ans: A

32.Which of the following represents f ’(x) , the derivative of f(x) ? : 32.Which of the following represents f ’(x) , the derivative of f(x) ? ANS: A

33.Which of the following is equal to cos (3X + 2Y) + cos( 3X - 2Y) ? [A] 2cos 3X cos2Y [B] 2sin 3X sin 2Y [C] -2sin 3X sin 2y : 33.Which of the following is equal to cos (3X + 2Y) + cos( 3X - 2Y) ? [A] 2cos 3X cos2Y [B] 2sin 3X sin 2Y [C] -2sin 3X sin 2y Ans: A

34Three coins are tossed at the same time. What is the probability of getting heads on all the coins ? (H H H ) [A] ½ [B] ¼ [C] 1/8 : 34Three coins are tossed at the same time. What is the probability of getting heads on all the coins ? (H H H ) [A] ½ [B] ¼ [C] 1/8 Ans: A

35. If y = then dy/dx = ……………… : 35. If y = then dy/dx = ……………… Ans: A