Thank you Academic Clinic, u'r a part of this achievement =)) from reviewers to tips, thanks =)

by Patrick R. Gamboa on Academic Clinic Fanpage

UPCAT Sample Test: Basic Math

UPCAT Sample QuizWelcome to Academic Clinic’s UPCAT sample exams. We will be adding test questions to this quiz periodically as well as randomize the items for every quiz so that test takers will see different questions every time. We will also be making quizzes about the other subtests in the coming weeks to do keep in touch.  Finally, if you like the free sample quiz, please don’t hesitate to share it with your friends and like our Fanpage on Facebook.

 

Basic Math Quiz

Directions: This subtest is a measure of ability to think out solutions to quantitative problems. Solve each problem carefully and then decide which is the best among the answer choices. Notes: ► Calculators of any kind are not permitted. All numbers used are real numbers. ► Figures which accompany problems in this subtest are intended to provide information useful in solving the problems. They are drawn as accurately as possible except when it is stated in a specific problem that its figure is not drawn to scale. All figures lie in a plane unless otherwise indicated.
Start
Congratulations - you have completed Basic Math Quiz. You scored %%SCORE%% out of %%TOTAL%%. Your performance has been rated as %%RATING%% Post your Results on our Fanpage or the comments section below to view how well you did compared to others [UPCAT is a ranking system afterall.:D] and please dont forget to click the share button to share the quiz with your classmates!^^ ps.  you still have to adjust your scores for the UPCAT Penalty of correct - 1/4 wrong.  
Your answers are highlighted below.

Disclaimer

While every effort has been made to keep this website accurate and updated, Academic-Clinic.com makes no guarantees about the veracity and accuracy of the information it provides.

Academic-Clinic.com has been established to provide students and their parents an additional source of timely and relevant information.  It is not meant to serve as nor claim to be a replacement for the information portals of universities, schools, government agencies, private organizations, and any other entities we may have used as references.

Please be advised. Thank you.

Leave a comment

51 thoughts on “UPCAT Sample Test: Basic Math

  1. hi po… don’t be offended pero ang hirap pong intindihin ng mga explanations kasi po walang mga kama na nagseseparate sa mga equations, i think. please work on that. pero thank you pa rin po. big help…

  2. For this question..
    “Determine the equation of the line which passes through (4, -2) and has a slope of 3.”

    Y-(-2)=3(x-4)
    Y + 2 = 3x – 12
    Shouldn’t the answer be : y= 3x-14 , instead of y= 3x -10???

    I don’t get it… 🙁

    By the way, I really really love these quizzes!!! I learned a lot because of these.

  3. Congratulations – you have completed Basic Math Quiz. You scored 30 out of 30. Your performance has been rated as Perfect! I LOVE MATH! PROUD TNHSian!

  4. yes!
    13/30 ang score ko !
    hindi na rin masama.
    pero mababa parin hindi pa yun makakapasa sa UPCAT.
    Thanks God.
    Andami ko nanaman natutunan.

  5. may iba naman na mali ang solution. Example sa number 15 dapat ang solution is: let x be r, x+1 be s, x+2 s,
    so,
    =[x-(x+1)][(x+1)-(X+2)][x-(X+2)]
    =(x-x-1)(x+1-x-2)(x-x-2)
    =(-1)(-1)(-2)
    =-2

  6. Sa 19 naman, ang liwanag nung sentence na “sixty-seven less than the sum of fifty-eight and forty-two” 67- (58+42) . kaya ang labo pano naging (58+42) – 67? hahaha. Buti sana kung nakalagay sa question eh “Sixty-seven subtracted to the sum of fifty-eight and forty-two”

    • Tama naman ah. 🙂 Parang 27 more than x = x+27. Jan naman, parang 67 less than 100 = 100-67. Jan din ako mali, pero narealize ko mali ko. 😀

  7. sana dun sa #13 po nilagay mo instead of “seventy-five multiplied twice” eh seventy-five multiplied twice itself. kasi malilito talaga ang magte-take, parang grammar error kasi mam.

  8. Yung sa question po na
    “For any integer n, which of the following represents the sequence of three consecutive odd integers?”

    Ito po yung binigay na solution:

    n is any integer,
    let n = 1 for odd numbers & n = 2 for even numbers.
    If n = 1,

    A. n, n + 1, n + 3 = (1), (1) + 1, (1) + 3 = 1, 2, 4 not consecutive odd integers
    B. n, n + 2, n + 4 = (1), (1) + 2, (1) + 4 = 1, 3, 5 consecutive odd integers
    C. 2n + 1, 2n + 2, 2n + 3 = 2(1) + 1, 2(1) + 2, 2(1) + 3 = 3, 4, 5 not a consecutive odd integers
    D. 2n + 1, 2n + 3, 2n + 5 = 2(1) + 1, 2(1) + 3, 2(1) + 5 = 3, 5, 7 a consecutive odd integers

    If n = 2,

    A. n, n + 1, n + 3 = (2), (2) + 1, (2) + 3 = 2, 3, 5 not consecutive odd integers
    B. n, n + 2, n + 4 = (2), (2) + 2, (2) + 4 = 2, 4, 6 not consecutive odd integers but consecutive even integers
    C. 2n + 1, 2n + 2, 2n + 3 = 2(2) + 1, 2(2) + 2, 2(2) + 3 = 5, 6, 7 not consecutive odd integers
    D. 2n + 1, 2n + 3, 2n + 5 = 2(2) + 1, 2(2) + 3, 2(2) + 5 = 5, 7, 9 consecutive odd integers D satisfy both sample value for n.

    Yung sagot po dito ay 2n + 1, 2n + 3, 2n + 5. Pero di po ba dapat n, n + 2, n + 4 yung sagot? Bakit po sinama yung n=2 e diba po even yun? Thankyou. 🙂

  9. PLEASE look at this question.

    Which of the following set of fractions arrange in ascending order?
    A. 5/12, 1/9, 7/8, 11/8
    B. 3/16, 1/7, 2/5, 5/6
    C. 13/15, 1/4, 3/8, 5/6
    D. 6/19, 7/12, 3/4, 4/5
    Question 23 Explanation:
    A. 0.416, 0.111, 0.875, 0.611 not in ascending order B. 0.187, 0.143, 0.400, 0.833 not in ascending order C. 0.316, 0.583, 0.750, 0.800 in ascending order D. 0.867, 0.250, 0.375, 0.833 not in ascending order.

    The right answer was letter D. according to the reviewer but the real answer is letter C.

  10. Q#5: As you explained, the amount paid = 0.99OP. so that means the amount paid is 1% (not 10%) lower than the original price, or equivalently, the amount paid is 99% of the original price.

    Q#25: Please check the last part of your computation. If y+2=3x-12 then y=3x-14

    Q#27: The equation should be x/10 + 2x/5 = 1 . The second term should not be 5x/2. so the answer should be 2 days.

  11. i think there’s something wrong in the question in determining the equation of the line which passes through (4,-2) and has a slope of 3

    in getting the slope we use the formula: y=mx+b
    substituting now given x as 4, y as -2 and m is 3
    -2=(3)(4) + b
    -2=12 + b
    -14=b

    the answer should be
    y=3x-14

    just saying 🙂

  12. In the question Determine the value of k so that the line kx – 8 + 7y = 0 will be parallel to the line 2x – y + 1 = 0…
    The given answer is -14…
    If so, given that answer isn’t it asking for the value of k so that it would be PERPENDICULAR to line 2x-y+1=0.
    I’m not a math whiz like the rest of you here so I only checked…

    Like I was saying, it was asking for a line perpendicular to the given equation. Why?

    I tried getting the x and y coordinates of -14x -8 + 7y.
    X coordinate
    -14x -8 + 7(0) = 0
    -14x = 8
    x = -14/8 or -7/4

    Y coordinate
    -14(0) -8 + 7y = 0
    7y = 8
    y = 7/8

    You can get the slope of the line using rise/run which means:
    (7/8) / (-7/4)
    7/8 x (-4/7)
    -28 / 56
    m = -1/2

    Line 2x-y+1 has a slope of 2.
    None of the choices give us an equation with a slope of 2.
    The equation -14x-8+7y=0 gives us a slope of -1/2, thus, it is PERPENDICULAR TO THE LINE 2x-y+1=0

    I’m not some math genius so then again, I could be wrong…

    • Hello. Please don’t be offended. I just want to clear something here.

      the equations are kx – 8 + 7y = 0 and 2x – y +1 = 0

      We are taught that you can just transpose the equation to get the slope using the form y = mx + b

      so the two equations will be y = -kx/7-8/7 and y=2x+1

      the slopes of the two equations will be the coefficient of the x
      so it will be -k/7 and 2

      Since to have a parallel equation the equations should have equal slopes.
      So we can just make the equation….

      -k/7 = 2
      (cross multiplication)
      -k = 14
      [-k = 14]/-1

      so it will be -14.:)

      I just want to help.:)

    • kx-8+7y=0…,m=-k/7
      2x-y+1=0….,m=2

      2=-k/7
      14=-k
      k=-14
      check:
      -14x-8+7y=0…,m=14/7 or 2
      2x-y+1=0….,m=2

      thats my solution…i THINK its correct

  13. di ga po mali ang sagot sa 13? ang explanation po eh tama na 0.99 ang sagot, pero ang marked as correct eh letter C instead of B ..

    sa 29 din po.. diga po un ay:
    1 = (1/ days of Mrs.Isagani)x + (1/ days of Mrs.Rosas)x
    1 = (1/10)x + (1 / (5/2))x
    1 = (1/10)x + (2/5)x
    1 = (1/10)x + (4/10)x
    1 = (5/10)x
    1 = (1/2)x
    x = 2

    awaiting reply po kung tama.. 😀 .. thanks!

  14. Yung question number 9 explanation doesn’t support question number 9’s correct answer. please check po. mukhang baliktad lang po yung B and C.

  15. Pingback: UPCAT Review – Your Ultimate Guide

  16. I think there’s something wrong with the answer in Q#18. The rate of Mr. Rosas should be x/(5/2). Simplifying it should be 2x/5.

    x/10 + 2x/5 = 1
    5x/10=1
    5x=10
    x=2.
    So the time should be 2.

  17. OMG. This so hard, even basic math I can’t pass, lol. But I got 44/50 in Vocabulary. Being American is a great advantage in taking the UPCAT. lmao. Goodluck to all of us.

Leave a Reply

Your email address will not be published. Required fields are marked *