Welcome 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.

Question 1 |

Determine the value of

*k*so that the line kx – 8 + 7y = 0 will be parallel to the line 2x – y + 1 = 0.A | -14 |

B | 6 |

C | -3 |

D | 9 |

Question 1 Explanation:

line 1:
kx - 8 +7y = 0
y = -[k/7]x + 8/7
m1= -k/7
line 2:
2x-7+1 = 0
y = 2x+1
m2 = 2
if line 1 is parallel to line 2, then their slope must be equal to each other.
m1 = m2
-k/7 = 2
k = 2 X -7
k = -14

Question 2 |

A fruit salad mixture consists of apples, banana and peaches in the ratio of 6:5:4 respectively by weight. If 225 grams of mixture is prepared, how many more grams of apples than peaches?

A | 45 |

B | 60 |

C | 75 |

D | 30 |

Question 2 Explanation:

6:5:4 – ratio of apples, banana, & peaches respectively. Let k = constant which we will use as multiplier to the ratio
6k + 5k + 4k = 225
15k = 225
k = 225/15
k= 15
weight of apple = (6)(15) = 90, weight of banana = (5)(15) = 75,
weight of peaches = (4)(15) = 60
weight of apple – weight of peaches = 90 – 60 = 30 grams

Question 3 |

If

*r*,*s*,*t*are three consecutive integers such that*r*>*s*>*t*, then (*r*–*s*)(*s*–*t*)(*r*–*t*) equals:A | -2 |

B | 2 |

C | 0 |

D | -1 |

Question 3 Explanation:

Given three consecutive integers: r, s, t and r > s > t. let r = 3, s = 2, t = 1
(r-s)(s-t)(r-t)
= (3-2)(2-1)(3-1)
= (1)(1)(2)
= 2

Question 4 |

Si Gng. Gonzales ay bumili ng kotse sa halagang

*P*pesos. Pagkalipas ng tatlong taon, ibinenta niya ang kotse ng 25% higit sa halaga ng pagkakabili niya. Binigyan siya ng babayarang buwis na 50% ng kanyang kita. Magkano ang kailangang bayaran na buwis ni Gng. Gonzales?A | P/24 |

B | P/2 |

C | P/4 |

D | P/8 |

Question 4 Explanation:

let P = original cost of car
selling price of car = P + 0.25P
= P + [1/4]P
tax = 1/2 [(1/4)P]
= 1/8 P

Question 5 |

When buying an item, a man was given a 10% discount on its original price, and then he was charged a 10% tax on its selling price. Base from this transaction, which of the following is true?

A | The amount paid is 99% of the original price. |

B | The amount paid is 20% lower than the original price. |

C | The original price and the selling price are the same. |

D | The amount paid is 10% lower than the original price. |

Question 5 Explanation:

let OP = original price
discounted price = OP – 0.1OP = 0.9OP
tax = 0.9OP x 0.1 = 0.09OP
amount paid = discounted price + tax = 0.9OP + 0.09OP = 0.99OP

Question 6 |

What is the value of the digit

*x*in order for 5719*x*to be divisible by 2, 3 and 6?A | 0 |

B | 7 |

C | 2 |

D | 6 |

Question 6 Explanation:

5719x to be divisible by 2, 3, and 6 must follow the divisibility rule for 2, 3, and 6.
Divisibility rule for 2: last digit must be an even numbers (0, 2, 4, 6, 8)
Divisibility rule for 3: sum of all digits must be divisible by 3.
Divisibility rule for 6: must follow the divisibility rule for 2 and 3.
Applying the divisibility rule for 6, we now get the sum of all digits to check if this number is divisible by 3.
5+7+1+9+x = 22+x, since we need an even number for the last digit so that it can be divisible by 2, x = 2 so that
22 + 2 = 24, 24 is divisible by 3.

Question 7 |

A rope is cut into three and one-third is used. Then one-fourth of the remaining rope is cut of and used. The piece left is 6 meters long. How many meters long was the rope originally?

A | 9 |

B | 6 |

C | 12 |

D | 8 |

Question 7 Explanation:

x [1-1/3] [ 3/4] = 6
x [2/3] [3/4] = 6
6/12 x = 6
x = 6 [12/6]
x = 12

Question 8 |

What is the difference between 72, 846 divided by twice of three and seventy-five multiplied twice?

A | 24, 132 |

B | 18, 657 |

C | 11, 991 |

D | 6, 516 |

Question 8 Explanation:

[72,846 / (2 X 3)] - (75)(75)
= (72,846 / 6) - 5,625
= 12,141 - 5625
= 6,516

Question 9 |

Of all the participants on a camping trip last summer, 70% were over 15 years old. If 63 of those who attended were 15 years old or below, what was the total number of participants in the camp?

A | 330 |

B | 120 |

C | 210 |

D | 200 |

Question 9 Explanation:

let x = total number of participants
(30%)x = 63
0.3x = 63
x = 63/0.3
x = 210

Question 10 |

Simplify the expression: 5y – {3y + (2y – 5) – [3 – (2 + 4y)]}

A | 4y |

B | 4y + 6 |

C | 14y – 6 |

D | 6 – 4y |

Question 10 Explanation:

5y – {3y + (2y – 5) – [3 – (2 + 4y)]}
= 5y – {3y + (2y – 5) – [3 – 2 – 4y)]}
= 5y – {3y + 2y – 5 – (1 – 4y)}
= 5y – {3y + 2y – 5 – 1 + 4y}
= 5y – (9y – 6)
= 5y – 9y + 6
= 6 – 4y

Question 11 |

Two cars traveled at the rates of 50 kph and 60 kph respectively. The faster car traveled 2 hours longer than the slower car and went 150 kms farther. Find the time traveled by the slower car.

A | 7 |

B | 3 |

C | 5 |

D | 4 |

Question 11 Explanation:

Rate x Time Distance
Faster Car:
rate = 60
time = t + 2
distance = d + 150
Slower Car:
rate = 50
time = t
distance = d
60(t + 2) = d + 150 , 50 t = d
60t + 120 = 50t + 150
60t – 50t = 150 – 120
10t = 30
t = 3 hours

Question 12 |

Rocky had a party. Midway in the party, half of the people left. A fifth of those remaining started to sing. There were 16 remaining who did not sing. How many people came to Rocky’s party?

A | 40 |

B | 30 |

C | 50 |

D | 20 |

Question 12 Explanation:

let x = total no. of people in Rocky’s party
x[1 - 1/2] [ 1 - 1/5] = 16
x [1/2][4/5] = 16
4/10x = 16
x = 4 X 10
x = 40

Question 13 |

What is the sum of 2.45 multiplied by 0.06 and 0.057 divided by 0.3?

A | 3.37 |

B | 1.66 |

C | 2.047 |

D | 0.337 |

Question 13 Explanation:

0.147 + 0.19 = 0.337

Question 14 |

Which of the following set of fractions arrange in ascending order?

A | 13/15, 1/4, 3/8, 5/6 |

B | 3/16, 1/7, 2/5, 5/6 |

C | 6/19, 7/12, 3/4, 4/5 |

D | 5/12, 1/9, 7/8, 11/8 |

Question 14 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

Question 15 |

The reservoir is at full capacity at the beginning of summer. By the first day of fall, the level in the reservoir is 40% below full capacity. Then during the fall, a period of heavy rains raises the level by 40%. After the rains, the reservoir is at what percent of its full capacity?

A | 80% |

B | 100% |

C | 84% |

D | 90% |

Question 15 Explanation:

first day of the fall: the reservoir is 60% of full capacity
during heavy rains, the reservoir raises 40% of 60% full capacity of the reservoir
after the rain = 60% + ( 0.4 x 0.6) = 60% + 24% = 84% full capacity of the reservoir

Question 16 |

Tuwing bakasyon, ginagamit ni Leah ang 30% ng kanyang oras sa pagbabasa ng mga nobela. Sa kabuuan, kaya niyang matapos ang isang nobela ng pitong oras. Kung siya ay natutulog ng siyam na oras araw-araw, ilang nobela ang kaya niyang tapusin sa loob ng dalawang linggo?

A | 5 |

B | 7 |

C | 9 |

D | 8 |

Question 16 Explanation:

24 hours – 9 hours (sleeping) = 15 hours (awake)
30% of 15 hours = 0.3 x 15 = 4.5 hours per day reading a novel
4.5 x 14 days/2 weeks = 63 hours reading novels in 2 weeks
63 7 hours/novel = 9 novels she can read in 2 weeks

Question 17 |

The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

A | 3 |

B | 4 |

C | 1 |

D | 2 |

Question 17 Explanation:

five consecutive integers: x, x +1, x + 2, x +3, x + 4
x + [x+1] + [x+2] + [ x+3] + [x+4] = 35
5x + 10 = 35
x = 5
so the five consecutive integers are: 5, 6, 7, 8, 9
let check if their sum is 35: 5 + 6 + 7 + 8 + 9 = 11 + 7 + 8 + 9 = 18 + 8 + 9 = 26 + 9 = 35
the prime numbers are 5 and 7.

Question 18 |

If

*a*and*b*are both odd numbers, then which of the following must be an even number?A | 2a + b |

B | a + b + 1 |

C | ab + 2 |

D | a + b |

Question 18 Explanation:

a and b are odd numbers, let a = 1 and b = 3
A. 5 = not an even number
B. 5= not an even number
C. 4 = an even number
D. 5 = not an even number

Question 19 |

The age of Jennilyn 3 years ago is ¼ her age 6 years from now. How old is Jennilyn?

A | 4 |

B | 18 |

C | 6 |

D | 12 |

Question 19 Explanation:

Let the present age of Jennilyn be equal to x.
Present age = x
3 years ago = x-3
6 yrs from now = x +6
x – 3 = ¼ (x + 6)
4(x – 3) = x + 6
4x – 12 = x + 6
3x = 18
x = 6 , Jennilyn is 6 years old

Question 20 |

What is sixty-seven less than the sum of fifty-eight and forty-two?

A | 43 |

B | -33 |

C | 33 |

D | 23 |

Question 20 Explanation:

(58+42)-67 = 100-67 = 33

Question 21 |

(0.143 + 0.27 + 0.852 + 0.009) – (0.235 + 0.51 + 0.006) = _________.

A | 0.751 |

B | 0.423 |

C | 0.851 |

D | 0.523 |

Question 21 Explanation:

1.274 – 0.751 = 0.523

Question 22 |

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

A | y = -7x + 5 |

B | y = 4x - 2 |

C | y = 3x - 42 |

D | y = 3x - 10 |

Question 22 Explanation:

Use point-slope formula,
y - y1 = (x= x1)m
y – (-2) = (x – 4)(3)
y + 2 = 3x – 12
y = 3x – 10

Question 23 |

For any integer

*n*, which of the following represents the sequence of three consecutive odd integers?A | n, n + 2, n + 4 |

B | 2n + 1, 2n + 2, 2n + 3 |

C | 2n +1, 2n + 3, 2n + 5 |

D | n, n + 1, n + 3 |

Question 23 Explanation:

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.

Question 24 |

Mrs. Isagani can embroider a tablecloth in 10 days while Mrs. Rosas can embroider the same tablecloth in 2 ½ days. How long will it take both of them to embroider one such tablecloth?

A | 2 days |

B | 5/13 days |

C | 7/10 days |

D | 1/2 days |

Question 24 Explanation:

Mrs. Isagani:
rate = 1/10
time = x
work = x/10
Mrs. Rosas
rate = 5/2
time = x
work = 5/2 x
The work Mrs. Isagani and Mrs. Rosas did together equals one whole job = x/10 + 5x/2 = 1
Manipulating the equation,
x + 25x = 10
26x = 10
x = 10/26 or 5/13 days

Question 25 |

If k = 2 x 10

^{-2}, then what does the expression 1/k equal to?A | 0.5 |

B | 500 |

C | 50 |

D | 5 |

Question 25 Explanation:

k = 0.02
1/k = 1/0.02
= [1/0.02] [100/100]
= 100/2
= 50

Question 26 |

Lovely’s grade in four of her quizzes are 83, 86, 89, and 90. There is one more quiz for the grading period and she does not want an average lower than 85, what is the lowest possible grade that she can get on her fifth quiz to maintain that average?

A | 79 |

B | 81 |

C | 75 |

D | 77 |

Question 26 Explanation:

[83+86+89+90+x]/5 = 85
[348 + x]/5 = 85
x = 77

Question 27 |

[(800 ÷ 40) + (9

^{2}÷ (17 – 8))] – (2^{2}+ 3^{2}) = _________.A | 16 |

B | 29 |

C | 15 |

D | 42 |

Question 27 Explanation:

= 20 + 981/9) - (4+9)
= 20 + 9 - 13
= 16

Question 28 |

At first stop on his route, a driver unloaded 1/5 of the packages in his truck. After he unloaded another 9 packages at his next stop, 1/2 of the original number of packages in the truck remained. How many packages were in the van before at the first delivery?

A | 30 |

B | 40 |

C | 50 |

D | 20 |

Question 28 Explanation:

let x = original number of packages before the 1st delivery
[4/5]x - 9 = [1/2]x
[4/5]x - [1/2]x = 9
[(8-5)/10] x = 9
x = 90/3
x = 30

Question 29 |

The ratio of men to women at a concert was 2:3. If there were 350 people in the concert, how many women were there?

A | 140 |

B | 200 |

C | 150 |

D | 210 |

Question 29 Explanation:

2:3, ratio of men to women. Let k = constant which we will use as multiplier to the ratio
2k + 3k = 350
5k = 350
k = 350/5
k = 70
the total number of women in the concert is (70)(3) = 210

Question 30 |

Six consecutive integers are given. The sum of the first three is 27. What is the sum of the last three?

A | 36 |

B | 33 |

C | 32 |

D | 30 |

Question 30 Explanation:

six consecutive integers: x, x +1, x + 2, x +3, x + 4, x + 5
sum of first three terms:
x + [x+1] + [x+2] = 27
3x + 3 = 27
3x = 24
x = 8
so the six consecutive integers are: 8, 9, 10, 11, 12, 13.
The sum of last three integers: 11 + 12 + 13 = 36

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 30 questions to complete.

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!

Related posts:

- UPCAT Sample Questions: General Science
- UPCAT Sample Questions: Biology
- UPCAT Sample Exam: Chemistry
- UPCAT Review Questions: Algebra
- UPCAT Review Questions: Sample Trigonometry / Geometry Quiz
- UPCAT Review Questions: Sample Parts of Speech/General Grammar Rules Quiz
- UPCAT Sample Questions: Syntax and Mechanics
- UPCAT Reviewer / Sample Quiz: Diction and Vocabulary
- UPCAT Sample Quiz: Advanced Algebra and Statistics
- UPCAT Mock Test: Physics
- UPCAT Mock Exam: Reading Comprehension

🙂

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…

Agree!!

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.

lol I can’t even understand some of the explanations/solutions *needs more practice 🙁

ang hirap naman nento.. Haha LAlo na yung basic math test. HAha bobo ko talaga

Need more practice :\

thanks a lot because i pass the upcat 2013

Great job. Congratulations! 🙂

*passed

Nakakalito ba talga yung ibang questions o bobo lang tlga q? Lol

Nasan ung sample test

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!

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.

hello !

basic in mathematics test, is very hard for me !

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

Tama naman eh. Mas madali pag binibigyan mo ng value kesa gagamit ka ng variable. Try mo!

Akala ko rin mali ako pero r>s>t pala haha

mm. 21 lhan. :/

oh my gosh basic math i cant pass 😐 sucks !

was it harder sa actual upcat?: )

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 eh. Mas madali pag binibigyan mo ng value kesa gagamit ka ng variable. Try mo!

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. 😀

Tama na (58+42) – 67. Kasi sabi naman less than eh. Kung hindi less than yan, tsaka ka magreason kung bakit ganun.

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.

yung number 23 po, diba dapat answer dun eh y=3x-14?

Ohhh!!! Same yung sagot ko… Feeling ko yan talaga yung sagot. Baka natypo lang. Hehe

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. 🙂

“For any integer n” kasi

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.

Same happened to me. Pero yes, D ang tamang sagot. :))

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.

I agree with you and Bankai.

Question 23, 5, 25 and 27 have errors. 🙂

You’re my hero!

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 🙂

im sorry it’s getting the equation of the line the formula is y=mx + b not getting the slope

also getting the same answer (y=3x-14)

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

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!

Yan din yung sagot ko kasi diba para mag divide na ang denominator ay fraction, ire-reciprocal siya. So magiging 1 * 2/5 = 2/5. Anyare? Bakit hindi nagrecipocal?

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.

question number 8 po pala.

Pingback: UPCAT Review – Your Ultimate Guide

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.

This is also what I got

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.

Question 14 Explanation:

= 20 + 981/9) – (4+9) = 20 + 9 – 13 = 16

merong mali … ung 981/9 dpat 81 lng.. un lang

Typo error lng yun, yun 981/9) should be (81/9) kaya tama pa rin…