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    Math!2022

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    mohamedkhaledmm12
    This document is a sample entrance exam for an undergraduate program in Computer Science and Information Technology at Egypt-Japan University of Science and Technology. The exam contains 20 multiple choice questions testing mathematics and calculus concepts over 5 pages. Questions cover topics like graphing functions, binomial expansions, integrals, limits, and domain analysis. The exam is designed to evaluate a student's preparedness for the program and assess their understanding of core mathematical concepts.

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    Download as PDF, TXT or read online from Scribd

    Math!2022

    Uploaded by

    mohamedkhaledmm12
    25 views5 pages
    This document is a sample entrance exam for an undergraduate program in Computer Science and Information Technology at Egypt-Japan University of Science and Technology. The exam contains 20 multiple choice questions testing mathematics and calculus concepts over 5 pages. Questions cover topics like graphing functions, binomial expansions, integrals, limits, and domain analysis. The exam is designed to evaluate a student's preparedness for the program and assess their understanding of core mathematical concepts.

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    This document is a sample entrance exam for an undergraduate program in Computer Science and Information Technology at Egypt-Japan University of Science and Technology. The exam contains 20 multiple choice questions testing mathematics and calculus concepts over 5 pages. Questions cover topics like graphing functions, binomial expansions, integrals, limits, and domain analysis. The exam is designed to evaluate a student's preparedness for the program and assess their understanding of core mathematical concepts.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    25 views5 pages

    Math!2022

    Uploaded by

    mohamedkhaledmm12
    This document is a sample entrance exam for an undergraduate program in Computer Science and Information Technology at Egypt-Japan University of Science and Technology. The exam contains 20 multiple choice questions testing mathematics and calculus concepts over 5 pages. Questions cover topics like graphing functions, binomial expansions, integrals, limits, and domain analysis. The exam is designed to evaluate a student's preparedness for the program and assess their understanding of core mathematical concepts.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    Egypt-Japan University of Science and Technology

    Sample Entrance Exam (Undergraduate)


    Computer
    Programs: Science
    Computer and Information
    Science and Information Subject: Mathematics
    Technology
    Technology Programs Design - BAS
    – PharmD-Art and
    Academic Year: 2021/2022 No. of Pages: 5
    Exam Duration: 1 hr Exam Version:
    Student Name: Student ID:

    Choose the correct answer:


    Question  Which of the following graphs represents the function 𝑥 − 2𝑦 2 = 0?

    a) b)

    c) d)

    Question  Which of the following graphs represents the function 1 − 𝑥 − |𝑦| = 0?

    a) b)

    c) d)

    Page 1 of 7
    3 1
    Question ③ The term 4𝐶1 (2√𝑡) (− 𝑡 ) is the second term in the binomial expansion of

    1 4
    a) (2√𝑡 − 𝑡 )

    1 3
    b) (2√𝑡 − 𝑡 )

    1 4
    c) (√𝑡 + )
    𝑡

    2 4
    d) (√𝑡 − 𝑡 )

    Question ④ A construction company builds new buildings at an increasing rate. In the first year only
    one building is built, in the second year two are built, and so on, with n buildings built in the nth year.
    What is the total number of buildings this company built in 12 years?

    a) 30

    b) 78

    c) 102

    d) 128

    Let 𝛼 and 𝛽 be the two roots of the equation 𝑥 2 − 𝑝𝑥 + 1 = 0.


    Question ⑤ The value of 𝛼𝛽 equals:

    a) 𝑝
    b) 1
    c) −𝑝
    d) −1

    2
    Question ⑥ The value of ∫−2|𝑥| 𝑑𝑥 is:

    a) 0
    b) 1
    c) 2
    d) 4

    Let 𝐿 be the tangent line to the graph 𝑓(𝑥) = 𝑒 𝑥 at 𝑥 = 0.

    Question⑦ The equation of 𝐿 is:

    a) 𝑦 = 𝑥 − 1
    b) 𝑦 = 2𝑥 + 1
    c) 𝑦 = 𝑥 + 1

    Page 2 of 7
    d) 𝑦 = 2𝑥 − 1
    Question ⑧ 𝐿 intersects the 𝑥-axis at 𝑥 =

    a) −2
    b) −1
    c) 1
    d) 2

    1
    Consider 𝐹(𝑥) = ∫𝑥 (3𝑡 2 + 1)𝑑𝑡.

    Question ⑨ 𝐹(𝑥) =

    a) −𝑥 3 − 𝑥 + 2
    b) 𝑥3 − 𝑥 + 2
    c) −𝑥 3 + 𝑥 + 2
    d) 𝑥3 − 𝑥 − 2

    Question ⑩ The value of 𝐹 ′ (0) is:


    a) 1
    b) −1
    c) 2
    d) −2

    Question ⑪ The value of 𝐹(1) is:


    a) 3
    b) 1
    c) 2
    d) 0

    2𝑥
    Question ⑫ ∫ 𝑥 2 +1 𝑑𝑥
    a) ln(𝑥 2 + 1) + 𝑐
    b) ln(𝑥 3 + 1) + 𝑐
    c) ln(2𝑥 + 1) + 𝑐
    d) ln(𝑥 2 + 2𝑥) + 𝑐

    𝑡
    Question ⑬ ∫ 2 𝑑𝑡
    √𝑡 −1
    a) √𝑡 2 − 1 + 𝑐
    1
    b) 2
    +𝑐
    √𝑡 −1
    3
    c) (𝑡 2 − 1)2 + 𝑐
    −3
    d) (𝑡 2 − 1) 2 + 𝑐

    Page 3 of 7
    1 𝑘
    Question ⑭ The value of ∑∞
    𝑘=0 (2) is:

    1
    a) 2
    b) 2
    c) 1
    1
    d) 1 2

    Question ⑮ A manufacturing process consists of 2 stages and each stage consists of 5 tasks. The first
    stage should be completed before starting the second stage. However, within any of the two stages, the
    tasks can be completed in any order. How many different task sequences are possible?
    a) 100
    b) 625
    c) 10000
    d) 14400

    Question ⑯ A triangle ABC has side lengths AB = 5 cm, AC = 7 cm, and BC= 9 cm. Then cos(A)
    equals

    a) 0.1
    b) 0.633
    c) -0.1
    d) -0.633

    Question ⑰ If the concentration (C ) of a compound of a certain compoundin a chemical reaction is


    15
    given by milligram in a liter by the relation 𝐶(𝑡) = 2𝑡 2 +15where t is the time. What is the concentration
    of C when time approaches infinity?

    a) 0

    b) 15

    c) 5

    d) 1

    Question ⑱ The domain of the function 𝑓(𝑥) = √2𝑥 − 4 is given by


    1
    a) [2 , ∞[
    b) [−2, ∞[
    c) ]2, ∞[
    d) [2, ∞[

    Question ⑲ The solution of the equation √𝑥 2 − 6𝑥 + 9 = 9 − 2𝑥 is

    Page 4 of 7
    a) {4,6}
    b) {4, −6}
    c) {4}
    d) {6}

    Question ⑳ If 𝑓(𝑥) = 2𝑥 , then the value of x that satisfies the equation 𝑓(𝑥) = 𝑓(5 − 𝑥)2 is
    a) {4,3}
    b) {4,2}
    c) {2,3}
    d) {−2, −3}

    Best Wishes for all

    Page 5 of 7

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