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    Pretest (Basic Calculus Elec)

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    Mary Danielle Alcantara
    This document is a pre-test for a basic calculus elective course at Naga Hope Christian School in Naga City for the 2018-2019 school year. It contains a 32 multiple choice question pre-test covering topics like equations of circles, parabolas, ellipses, sequences, series, and converting between radians and degrees.

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    © All Rights Reserved
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    Pretest (Basic Calculus Elec)

    Uploaded by

    Mary Danielle Alcantara
    884 views3 pages
    This document is a pre-test for a basic calculus elective course at Naga Hope Christian School in Naga City for the 2018-2019 school year. It contains a 32 multiple choice question pre-test covering topics like equations of circles, parabolas, ellipses, sequences, series, and converting between radians and degrees.

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    Pretest in Basic Calculus

    Original Title

    Pretest(Basic Calculus Elec)

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    This document is a pre-test for a basic calculus elective course at Naga Hope Christian School in Naga City for the 2018-2019 school year. It contains a 32 multiple choice question pre-test covering topics like equations of circles, parabolas, ellipses, sequences, series, and converting between radians and degrees.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    884 views3 pages

    Pretest (Basic Calculus Elec)

    Uploaded by

    Mary Danielle Alcantara
    This document is a pre-test for a basic calculus elective course at Naga Hope Christian School in Naga City for the 2018-2019 school year. It contains a 32 multiple choice question pre-test covering topics like equations of circles, parabolas, ellipses, sequences, series, and converting between radians and degrees.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
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    Naga Hope Christian School

    City of Naga
    School Year 2018 – 2019

    BASIC CALCULUS
    Elective
    Pre – Test

    Name: ____________________________________________________ Grade and Section: 10 - __________

    I. Encircle the correct answer to the following questions. No erasures.

    1.

    2.

    3. What is the standard equation of a circle when its center is at the origin?
    a. 𝑥 2 + 𝑦 2 = 𝑟 2 c. 𝑥 + 𝑦 = 𝑟
    b. (𝑥 − ℎ) + (𝑦 − 𝑘) = 𝑟
    2 2 2
    d. (𝑥 − ℎ) + (𝑦 − 𝑘) = 𝑟

    4. What is the standard equation of a circle when its center is at a particular point?
    a. 𝑥 2 + 𝑦 2 = 𝑟 2 c. 𝑥 + 𝑦 = 𝑟
    b. (𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟 2 d. (𝑥 − ℎ) + (𝑦 − 𝑘) = 𝑟

    5. Given the equation of a circle, 𝑥 2 + 𝑦 2 = 169, what is its radius?


    a. 11 c. 13
    b. 12 d. 14

    6. What is the center of the circle having the equation of (𝑥 − 2)2 + (𝑦 + 3)2 = 4?
    a. C (2, 3) c. C (2, -3)
    b. C (-2, 3) d. C (-2, -3)

    7. It is the set of all points on a plane equidistant from both a fixed point and a fixed line.
    a. Circle c. Ellipse
    b. Parabola d. Hyperbola

    8. It is the set of all points in a plane the sum of whose distance from two fixed points is a
    constant.
    a. Circle c. Ellipse
    b. Parabola d. Hyperbola

    9. It is the set of all points in a plane the difference of whose distance from two fixed points is a
    constant.
    a. Circle c. Ellipse
    b. Parabola d. Hyperbola

    10. What is the vertex of the parabola having an equation of 𝑥 2 = 8𝑦?


    a. V (0, 8) c. V (8, 8)
    b. V (8, 0) d. V (0, 0)

    11. Given the parabola, (𝑥 + 1)2 = −4(𝑦 + 3), what is its vertex?
    a. V (1, -3) c. V (-1, -3)
    b. V (-1, 3) d. V (1, 3)

    12. What is the equation of this parabola?


    a. 𝑥 2 = 8𝑦 c. 𝑦 2 = 8𝑥
    b. 𝑥 = −8𝑦
    2
    d. 𝑦 2 = −8𝑥
    13. What is the standard equation of an ellipse with a center at the origin?
    𝑥2 𝑦2 𝑥 𝑦
    a. + =1 c. + =1
    𝑎2 𝑏2 𝑎 𝑏

    𝑥2 𝑦2 𝑥 𝑦
    b. − =1 d. + =1
    𝑎2 𝑏2 𝑎 𝑏

    𝑥2 𝑦2
    14. What are the vertices of the ellipse having an equation of + = 1?
    25 9
    a. V (5, 0), V (-5, 0) c. V (0, 5), V (0, -5)
    b. V (25, 0), V (-25, 0) d. V (0, 25), V (0, -25)

    15. What is the center of the given ellipse in no. 14?


    a. C (5, 3) c. C (-5, -3)
    b. C (0, 0) d. C (3, 5)

    (𝑥−1)2 (𝑦+2)2
    16. What is the center of the ellipse having an equation of + = 1?
    169 81
    a. C (13, 9) c. C (-1, 2)
    b. C (13, -9) d. C (1, -2)

    17.

    18.

    19.

    20.

    21. It is a string of numbers which follow a specific pattern and order.


    a. sequence c. finite
    b. series d. infinite

    22. It is the sum of terms in a sequence.


    a. sequence c. finite
    b. series d. infinite

    23. What is the missing number in the sequence given 4, 6, 8, __, 12, 14
    a. 9 c. 11
    b. 10 d. 13

    3 4 6
    24. What is the missing number in the sequence given 2, , , __, ?
    2 3 5
    5 5
    a. c.
    4 8
    9 5
    b. d.
    4 3

    25. What is the value of ∑3𝑖=1(3𝑖)?


    a. 15 c. 17
    b. 16 d. 18

    26. What is the value of ∑4𝑖=1[2(𝑛 + 1)]?


    a. 27 c. 29
    b. 28 d. 30

    27. Given the arithmetic sequence, 8, 16, 24, 32,64, find the sum of the integers included in the
    sequence.
    a. 238 c. 278
    b. 258 d. 288

    28.
    29.

    30.

    31. What is 120˚ in radians?


    𝜋 5𝜋
    a. c.
    2 4

    2𝜋 3𝜋
    b. d.
    3 4

    𝜋
    32. What is in degrees?
    4
    a. 30˚ c. 55˚
    b. 45˚ d. 60˚

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