TIMSS
Sample High School
Advanced Mathematics Test (Grade 12)


Instructions
  • Please enter an identity code using the following information:
    username (or code name), grade, city, state, country

    Example: coolbjw/grade12/utica/ny/usa


  • Click on the circle to answer each multiple choice question.
  • To answer the free form questions type in your answer
  • Use the scroll down bar to advance to the next question.
  • When you have completed all the questions press the "Submit" button at the bottom of the test.
  • Your test results and links for assessing your results will appear within seconds.

    The bullets in the bottom corner of each problem indicate the question has not been answered. Questions left unaswered will be given a value of nr(no response).

    1) If xy =1 and x is greater than 0, which of the following statements is true?

    A)When x is greater than 1, y is negative.
    B)When x is greater than 1, y is greater than 1.
    C)When x is less than 1, y is less than 1.
    D)As x increases, y increases.
    E) As x increases, y decreases.

    _______________________________________________________________________________

    2) In how many ways can one arrange on a bookshelf 5 thick books, 4 medium\par sized books and 3 thin books so that the books of the same size remain together?

    A)5! 4! 3! 3! = 103,680
    B)5! 4! 3! = 17,280
    C) (5! 4! 3!) x 3 = 51,840
    D) 5 x 4 x 3 x 3 =180
    E) 2 12 x 3 =12,288

    _______________________________________________________________________________
    3) The acceleration of an object moving in a straight line can be determined from

    A) the slope of the distance-time graph
    B) the area below the distance-time graph
    C) the slope of the velocity-time graph
    D) the area below the velocity-time graph

    _______________________________________________________________________________
    4) The value of

    is:

    A) 0 B) C) 1/2 D) E)

    _______________________________________________________________________________
    5) Which of the following graphs has these features:? f'(0) >0, f'(1) <0 and f''(x) is always negative.

    A) B) C) D) E)

    _______________________________________________________________________________

    6) The line l in the figure is the graph of y = f(x).

    A) 3
    B) 4
    C) 4.5
    D) 5
    E) 5.5

    _______________________________________________________________________________
    7) The vertices of the triangle PQR are the points P(1, 2), Q(4, 6) and R(- 4, 12). Which one of the following statements about triangle PQR is true?

    A) PQR is a right triangle with the right angle, P.
    B) PQR is a right triangle with the right angle,Q.
    C) PQR is a right triangle with the right angle, R.
    D) PQR is not a right triangle.

    _______________________________________________________________________________
    8) Which one of the following conics is represented by the equation (x-3y)(x+3y) = 36 ?

    A) Circle
    B) Ellipse
    C) Parabola
    D) Hyperbola

    _______________________________________________________________________________

    9) Determine the distance between the x -intercept and the z-intercept of the plane whose equation is 3x + 2y - 4z = 12.

    A)
    B) 1
    C) 5
    D) 7

    _______________________________________________________________________________
    10)

    AB is the diameter of a semicircle k, C is an arbitrary point on the semicircle (other than A or B), and S is the centre of the circle inscribed into triangle ABC.

    Then the measure of

    A)angle ASB changes as C moves on k.
    B)angle ASB is the same for all positions of C but it cannot be determined without knowing the radius.
    C) angle ASB = 135 for all C.
    D) angle ASB = 150 for all C.

    _______________________________________________________________________________
    11) A set of 24 cards is numbered with the positive integers from 1 to 24. If the cards are shuffled and if only one is selected at random, what is the probability that the number on the card is divisible by 4 or 6?

    A) 1/6
    B) 5/24
    C) 1/4
    D) 1/3
    E) 5/12

    _______________________________________________________________________________
    12) A translation maps A (2, -3) onto A' (-3, -5). Under the same translation, find the coordinates of B', the image of B (1,4).

    A) (-5, -2)
    B) (6,6)
    C) (-2, -4)
    D) (-4, -2)

    _______________________________________________________________________________
    13) The number of bacteria in a colony was growing exponentially. At 1 pm yesterday the number of bacteria was 1000 and at 3 pm yesterday it was 4000. How many bacteria were there in the colony at 6 pm yesterday?



    14 The rectangle labeled Q CANNOT be obtained from the rectangle labeled P by means of

    A) reflection (about an axis in the plane of the page)
    B) rotation (in the plane of the page)
    C) translation
    D) translation followed by a reflection

    _______________________________________________________________________________
    15) Determine all complex number z that satisfy the equation

    where denotes the conjugate of z.

    A) ( -1/3 + 5/3i)
    B) ( -3 -i)
    C) (1 -i)
    D) answer not given

    _______________________________________________________________________________
    16 The graph of the function g passes through the point (1,2). The slope of the tangent to the graph at any point (x, y) is given by g'(x) = 6x - 12. What is g(x)?

    A) 6x2 -12x +11
    B) 6x2 -12x -11
    C) 3x2 - 12x +11
    D) 3x2 -12x

    _______________________________________________________________________________
    17) What are the values of x for which the inequality

    is true?

    A) x is less than or equal to -7/9
    B) x is less than or equal to -1/3
    C) x is greater than or equal to 0
    D) x is greater than or equal 7/3
    E) x is greater than or equal 9/3

    _______________________________________________________________________________
    18) Given logb2 = 1/3, then logb32 is equal to

    A) 2
    B) 5
    C) -3/5
    D) 5/3
    E) 3/log232

    _______________________________________________________________________________
    19) The sum of the infinite series 1- (1/2) + (1/4) - (1/8) + ... is

    A) 5/8
    B) 2/3
    C) 3/5
    D) 3/2
    E) infinite

    _______________________________________________________________________________
    20) The velocity v of a body moving in a straight line t seconds after starting from rest is

    v = 4t3 - 12 t2 meters/second
    .

    How many seconds after starting does its acceleration become zero?

    seconds

    21) A warning system installation consists of two independent alarms probabilities of operating in an emergency of 0.95 and 0.90 respectively. Find the probability that at least one alarm operates in an emergency.

    A) 0.995
    B) 0.975
    C) 0.95
    D) 0.90
    E) 0.855

    _______________________________________________________________________________
    22 An examination consists of 13 questions. A student must answer only one of the first two questions and only nine of the remaining ones. How many choices of questions does the student have?

    A) 13C10 = 286
    B) 11C 8 =165
    C) 2 X 11C9 =110
    D) 2 X 11P 2 = 220
    E) some other number

    _______________________________________________________________________________
    23 For what real value of k will the equation below describe of circle of radius equal to 3?

    x2 + y2+2x-4y+k = 0

    A) K=2
    B) K=8
    C) K= -4
    D) K= -9
    E) K= 4

    _______________________________________________________________________________

    24 Find all real values of x which satisfy the equation.

    A) x=1
    B) x=4, x=1
    C) x=4
    D) x=2, x= -1
    E) x=2

    _______________________________________________________________________________
    25) A string is wound symmetrically around a circular rod. The string goes exactly 4 times around the rod. The circumference of the rod is 4 cm. and its length is 12 cm.

    Find the length of the string.

    cm.




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