Basic Math Quiz

Basic Math Quiz

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Question 1WRONG

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?80%84%90%100%

Question 1 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

reservoirQuestion 2

WRONG

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?200330120210


let x = total number of participants (30%)x = 63 0.3x = 63 x = 63/0.3 x = 210Question 3

WRONG

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?150140200210


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) = 210Question 4

WRONG

What is the difference between 72, 846 divided by twice of three and seventy-five multiplied twice?11, 99124, 13218, 6576, 516


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

WRONG

Determine the value of k so that the line kx – 8 + 7y = 0 will be parallel to the line 2x – y + 1 = 0.9-146-3


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 = -14Question 6

WRONG

The age of Jennilyn 3 years ago is ¼ her age 6 years from now. How old is Jennilyn?124618


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 oldQuestion 7

WRONG

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?5/13 days7/10 days2 days1/2 days


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 daysQuestion 8

WRONG

What is the sum of 2.45 multiplied by 0.06 and 0.057 divided by 0.3?1.662.0470.3373.37


0.147 + 0.19 = 0.337Question 9

WRONG

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?8795


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 weeksQuestion 10

WRONG

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?30402050


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

= 40Question 11

WRONG

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?50204030


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 = 30Question 12

WRONG

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?12896


x [1-1/3] [ 3/4] = 6 x [2/3] [3/4] = 6 6/12 x = 6 x = 6 [12/6] x = 12Question 13

WRONG

If a and b are both odd numbers, then which of the following must be an even number?a + bab + 22a + ba + b + 1


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 numberQuestion 14

WRONG

What is sixty-seven less than the sum of fifty-eight and forty-two?432333-33


(58+42)-67 = 100-67 = 33Question 15

WRONG

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?

The amount paid is 99% of the original price.The amount paid is 20% lower than the original price.The original price and the selling price are the same.The amount paid is 10% lower than the original price.


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 = 0.99OPQuestion 16

WRONG

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.3745


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

hoursQuestion 17

WRONG

Six consecutive integers are given. The sum of the first three is 27. What is the sum of the last three?33363230


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 = 36Question 18

WRONG

Determine the equation of the line which passes through (4, -2) and has a slope of 3.y = -7x + 5y = 3x - 10y = 4x - 2y = 3x - 42


Use point-slope formula, y - y1 = (x= x1)m y – (-2) = (x – 4)(3) y + 2 = 3x – 12 y = 3x – 10Question 19

WRONG

The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?2314


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 20

WRONG

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?

60304575


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 gramsQuestion 21

WRONG

For any integer n, which of the following represents the sequence of three consecutive odd integers?2n + 1, 2n + 2, 2n + 3n, n + 2, n + 4n, n + 1, n + 32n +1, 2n + 3, 2n + 5


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 22

WRONG

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?P/24P/2P/8P/4


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 PQuestion 23

WRONG

What is the value of the digit x in order for 5719x to be divisible by 2, 3 and 6?6027


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 24

WRONG

If k = 2 x 10-2, then what does the expression 1/k equal to?50500

0.55


k = 0.02 1/k = 1/0.02 = [1/0.02] [100/100] = 100/2 = 50Question 25

WRONG

Which of the following set of fractions arrange in ascending order?5/12, 1/9, 7/8, 11/83/16, 1/7, 2/5, 5/66/19, 7/12, 3/4, 4/513/15, 1/4, 3/8, 5/6


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 orderQuestion 26

WRONG

[(800 ÷ 40) + (92 ÷ (17 – 8))] – (22 + 32) = _________.15291642


= 20 + 981/9) - (4+9) = 20 + 9 - 13 = 16Question 27

WRONG

Simplify the expression: 5y – {3y + (2y – 5) – [3 – (2 + 4y)]}6 – 4y4y4y + 614y – 6


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 – 4yQuestion 28

WRONG

(0.143 + 0.27 + 0.852 + 0.009) – (0.235 + 0.51 + 0.006) = _________.0.8510.7510.4230.523


1.274 – 0.751 = 0.523Question 29

WRONG

If r, s, t are three consecutive integers such that r > s > t, then (r – s)(s – t)(r – t) equals:0-1-22


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) = 2Question 30

WRONG

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?79777581


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

Algebra Quiz

Congratulations - you have completed Algebra Quiz. You scored 0 out of 30. Your performance has been

rated as Need more practice!


Question 1WRONG

A tank can be filled in 6 hours by pipe A running alone, or in 4 hours by pipe B alone. How many hours would

be needed to fill the tank if both pipes were running?2 and 2/555/123 and 1/2


A: Rate: 1/6, Time: x, Work: x/6, B: Rate: 1/4, Time: x, Work: x/4, x/6 + x/4 =1 ; multiply both sides by 12, 2x

+ 3x = 12, 5x = 12, x = 12/5 = 2 2/5Question 2

WRONG

Jack is now 14 years older than Jill. If in 10 years Jack will be twice as old as Jill, how many years old will Jack

be in 5 years?9192123


let x = Jill’s age x + 14 = Jack’s age age 10 years from now: jill: x+10 jack: x+24, x + 24 = 2( x + 10 ), x +

24 = 2x + 20, 2x – x = 24 – 20, x = 4 , Jack’s present age: x + 14 = 4 + 14 = 18, 5 years from now: 18 + 5

= 23Question 3

WRONG

Which of the following equations has a root in common with x2 – 6x + 5 = 0?

Question 3 Explanation: Question 4

WRONG

A taxi driver must complete a 180 mile trip in 4 hours. If he averages 50 miles an hour for the first three

hours of his trip, how fast, in miles per hour, must he travel in the final hour?45403035


180 miles in a 4-hour travel, 1st 3 hours: 50 mph, ( 50 m / hr )( 3 hr ) = 150 miles, 180 – 150 = 30, 30 miles

in 1 hr, speed on the 4th hr: 30 mphQuestion 5

WRONG

Kung ang a = b + 1/2 = [b+3]/2, ano ang halaga ng a?325/21/3


a = b + ½ = [b+3]/2 b + ½ = [b+3]/2; multiply both sides by 2 2b + 1 = b + 3; 2b – b = 3 -1 b = 2 a = b +

½ = 2 + ½ = 2 ½ = 5/2Question 6

WRONG

How many liters of 60% solution of nitric acid should be added to 10 liters a 30% solution of nitric acid to

obtain a 50% solution?25201510


10L + x =10+x 30% + 60% = 50% 0.3( 10 ) + 0.6x = 0.5( 10 + x ) 3 + 0.6x = 5 + 0.5x 0.1x = 2 x = 20 LQuestion 7

WRONG

If 2x + 4y – 5z = 19 and z = 3, what is the value of x + 2y + z?1020515


2x + 4y - 5z = 19; where z = 3 2x + 4y – 5(3) = 19 2x + 4y = 19 + 15; 2x + 4y = 34, divide both sides by 2

x + 2y = 17, thus, x + 2y + z = 17 + 3 = 20Question 8

WRONG

Grace can finish cleaning their room in 45 minutes. When her sister Abby helps her, it takes them 18 minutes

to clean the room completely. How many minutes would it take Abby to clean their room alone?25303520


Grace: Rate: 1/45. Time: 18, Work: 18/45, Abby: Rate: 1/x, Time: 18, Work: 18/x, 18/45 + 18/x = 1 ; multiply

both sides by 45x, 18x + 18( 45 ) = 45x, 45x – 18x = 810, 27x = 810, x = 30 minQuestion 9

WRONG

A man is thrice as old as his son. In five years, he will be three years more than twice his son’s age. How

many years old is the man now?36241041


let x – son 3x – man age 5 years from now: son = x+5 man = 3x+5 5 yrs from now, the man’s age is 3 more

than twice the age of his son. 3x + 5 = 3 + 2( x + 5 ), 3x + 5 = 2x + 10 + 3, 3x – 2x = 10 + 3 – 5, x = 8,

man = 3x = 3(8) = 24Question 10

WRONG

Kung ang (x + y)2 = 20 at ang xy = 4, ano ang halaga ng x2 + y2?10141612


WRONG

If -6 is one solution of the equation x2 + 5x + k = 7, where k is constant, what is the other solution?20-11


-6 is a solution to x^2 + 5x + k = 7, substitute -6 to all values of x: (-6)^2 + 5(-6) + k = 7, k = 7 – 36 + 30,

k = 1, x^2 + 5x + 1 = 7; x^2 + 5x + 1 - 7 = 0, x^2 + 5x – 6 = 0; factoring: ( x + 6 )( x – 1 ) = 0, x = -6 and

1Question 12

WRONG

Simplify the following expression :


, then we multiply by , =Question 13

WRONG

Ano ang halaga ng q sa tumbasang radikal na ?5432


we raise both sides to the 2nd power 21 + q = = 9 + 6 + q =21-9 + q - q = 6 12 = 6 = 2 q = 4Question 14

WRONG

What is the equation of the line that passing through (1,1) and parallel to line y = 2x– 5?y = 2x + 1y = 2x - 1y = -(1/2)x + 1y = 2x


line parallel to: y = 2x – 5 Passing through pt. (1, 1) Since y = mx + b; m = 2 y = 2x + b; then substitute the

coordinates of pt. (1, 1) 1 = 2(1) + b; b = 1 – 2 b = -1 y = 2x - 1Question 15

WRONG

Bruno raises a number of ducks and carabaos in his farm, all of which are normal. If his animals have a total

of 44 feet and a total of 16 heads, how many carabaos does Bruno have?6578


let x – number of ducks, y – number of carabaos, there are 44 feet ( carabaos has 4 and ducks has 2 ) 2x +

4y = 44, there are 16 heads, x + y = 16, x = 16 – y, 2( 16 – y ) + 4y = 44, 32 – 2y + 4y = 44, 2y = 44 – 32 =

12, y = 6 --- carabaosQuestion 16

WRONG

Aling pangungusap ang totoo sa mga graph ng mga tumbasan sa sistemang y = -x + 3 at y = -x – 2?Ang mga graph ng linya ay dumaraan sa mga point (0, 2) at (0, 3).Ang graph ay may iisang linya.Ang mga graph ng dalawang linya ay nagtatagpo sa point (-2, 3).Ang graph ng dalawang linya ay parallel.


y = -x + 3, y = -x – 2 from the general form: y = mx + b, where the m is the slope. both equations have

slopes equal to -1 since the have the same slope, these lines are parallel.Question 17

WRONG

One number is 17 less than another. Their sum is 125. What is the smaller number?108715460


let x – smaller number, then x + 17 is the bigger number, the sum of the two numbers is 125, x + x + 17 =

125, 2x = 108, x = 54 --- smaller number,Question 18

WRONG

In the diagram at the right, line AB and AC have equal lengths. What is the value of k?

1211109


A (1,2) B (9,2) C (1,k) Segment AB = AC AB = X2 – X1 = 9-1 = 8 AC = Y2 – Y1 = k – 2 = 8 k – 2 = 8; k = 8 +

2 k = 10Question 19

WRONG

http://writerphilippines.com/academicclinic/wp-content/uploads/2011/04/algebra-1.jpg

Which of the following can best describe the graph?cannot be determinedy > 4 – 2xy = 4 – 2xy < 4 – 2x


inspect the graph: the line passes through pts. (1, 2) and (4, -4) slope = m = [-4-2]/[4-1] = -6/3 = -2 y = -2x

+ b; then substitute any point. We use pt. (1, 2) 2 = -2(1) +b; b = 2 + 2 b = 4 y = -2x + 4 or y = 4 – 2xQuestion 20

WRONG

What is the slope of the line containing the points (2, -4) and (-5, 7)?-11/7-7/1111/77/11


Slope of the line containing pts. (2, -4) and (-5, 7) Slope = m = [y2-y1]/[x2-x1] = [7- (-4)]/[-5-2] = -11/7Question 21

WRONG

Ang eksponensyal na ekspresyong 32/n sa pormang radical ay _______.


WRONG

How many students are there in a class if two students are not seated when 4 rows of seat are filled and 9

students are not seated when 3 rows of seats are filled?28363034


4x + 2 = 3x + 9, where x is the number of students per row, 4x – 3x = 9 – 2 , x = 7, then substitute to above

equation, 4(7) + 2 = 30 --- studentsQuestion 23

WRONG

Factor out the expression ab – 1 – b + a completely:(b + 1)(a + 1)(b – 1)(a – 1)(b – 1)(a + 1)(b + 1)(a – 1)


ab – 1 – b + a = ( ab – b) + ( a – 1) = b ( a – 1) + ( a – 1) = ( b + 1) ( a – 1)Question 24

WRONG

http://writerphilippines.com/academicclinic/wp-content/uploads/2011/04/algebra-4.jpg

A train covers the distance d between two cities in h hours arriving 2 hours late. What speed would permit

the train to arrive on schedule?[d/h]-2dh-2d/[h-2]h-2


d/h is the speed arriving 2 hrs late. Where d is the distance and h is time ( hrs.). To arrive in schedule, the

train has to travel distance d in h – 2 hours. Rate = distance/time = d/[h-2]Question 25

WRONG

Alin sa mga sumusunod na ekspresyon ang perfect square trinomial?


perfect square trinomial:Question 26

WRONG

Pasimplehin ang ekspresyong:


WRONG

What is the solution set (x, y) in system of equations: 2x – 3y = 12 and 3x + y = 7?(3, -2)(-2, 3)(-3, 2)(2, -3)


2x – 3y = 12, 3x + y = 7, using substitution method: 3x + y = 7, y = 7 – 3x; then substitute to the other

equation 2x – 3( 7 – 3x ) = 12, 2x – 21 + 9x = 12, 11x = 33, x = 3, y = 7 – 3x = 7 – 3(3) = 7 – 9, y = -2,

solution: ( 3,-2 )Question 28

WRONG

Jerry ran a 200 – meter dash race at an average speed of 2.4 kph. If Ryan ran the same race at an average

speed of 3 kph, how many minutes longer did it take for Jerry to complete the race?1 min2 min3 min4 min


Ryan – 3 kph, Jerry – 2.4 kph, Ryan: ( 200m )( 1 hr / 3000m ) = 1/15 hr = 4min, Jerry: ( 200m )( 1 hr /

2400m ) = 1/12 hr = 5min, Difference: 1 minQuestion 29

WRONG

For which value of p in the division (2x2 + 11x – p) ÷ (2x – 3) is the remainder zero?182135


( 2x^2 + 11x – p ) / ( 2x – 3 ) divisor: 2x – 3 = 0; 2x = 3; x = 3/2 using factor theorem, 2( 3/2 )^2 + 11( 3/2 )

– p = 0, 2(9/4) + 33/2 – p = 0 9/2 + 33/2 – p = 0 42/2 – p = 0 p = 21Question 30

WRONG

The attendance at Enchanted Kingdom on a certain day was 737 persons. If there were 289 more adults than

children, how many children were there? 548513250224


let x – adults, then x – 289 is the number of children, there are a total of 737 persons, thus x + x – 289 =

737, 2x = 1026, x = 513 --- adults, children: x – 289 = 513 – 289 = 224

Geometry / Trigonometry Quiz

Congratulations - you have completed Geometry / Trigonometry Quiz. You scored 0 out of 30. Your

performance has been rated as Need more practice!


Question 1WRONG

In the figure to the right, QRST is a parallelogram. If the

measure of angle TQR = 85o, then what is the measure of angle TSR??1051158595


Opposite angle of a parallelogram are congruent.Question 2

WRONG

what is the value of tan θ? 3/45/34/5

http://writerphilippines.com/academicclinic/wp-content/uploads/2011/04/geom-9.jpg


4/3


tan = y/x = opposite/adjacent = 8/6 = 4/3Question 3

WRONG

In the diagram, each small square is 1 cm by 1 cm. What is the area

of the non-shaded region? 632.754.5


A=bh/2, b=2cm, h=3cm, A=[1/2] [2] [3] = 3 cm^2Question 4

WRONG

Which of the following statements is/are true? I. Two points are contained in one and only one line.

II. A segment has a unique midpoint. III. On a ray, there are many points given distance from

the endpoint to the ray.I and II onlyI onlyII onlyIII only


A segment has a unique midpoint. Two points are contained in one and only one line.Question 5

WRONG

In the figure at the above, what is the value of y?



cannot be determined604530


Vertical angles are congruent 2y = x x+x+2x+2x = 360 6x = 360 x = 60 60 = 2y y = 30°Question 6

WRONG

In a regular hexagon, the measure of each interior angle is ________.100160140120


Regular hexagon, n = 6, 6 angles, (n-2)(180) = (6-2)(180) 180(4) = 720 = total interior angles 720/6 = 120Question 7

WRONG

Given three squares of different areas, the perimeter of square A is 2/3 the perimeter of square B, and the

perimeter of square B is 2/3 the perimeter of square C. If the area of square A is 16 square units, what is the

area of square C?36816472


PA= 2/3 PB PB = 2/3 PC A[A]= 16units = S^2 S^2 = 16 S = 4 P[A] = 16 = 2/3 P[B] P[B] = 24 24 = 2/3 P[C]

PC = 36 4S = 36 S = a A[C] = S^2 = 81Question 8

WRONG

From the figure above, what is the value of x if TP= 2x +

1; SP= 4 – 3y; RP= y + 5; QP=x – 5?11/323/717/415/2


TP = 2x+1 RP =y+5 SP = 4-3y QP = x-5 TP = RP SP = QP diagonals of a parallelogram bisect each other.

Substituting and Equating 1. 2x+1 = y+5 2. 4-3y = x-5 using equation 2: x = 9-3y substituting to equation 2:

2(9-3y) = y+5 18-6y = y+5 7y = 11 y = 11/7 x = 9-3 (11 / 7) = (8- 33) / 7 = (56-33) / 7 x = 23/7Question 9

WRONG

How many different segments are determined by four collinear points A, B,

C, D?


http://writerphilippines.com/academicclinic/wp-content/uploads/2011/04/geometry-1.jpg

84106


1. AD 2. AC 3. BD 4. AB 5. BC 6. CDQuestion 10

WRONG

What is the height of Quezon City Hall if the shadow of the building is 20 meters and the angle of elevation of

the sun is 300?


Question 11WRONG

If the lengths of the sides of a square are doubled, what is the effect on the area?The area will increase 8 times.The area will increase 4 times.The area will increase twice.The area will remain the same.


let: s=2 s1=4 A = s^2 2^2 = 4 A1 = s1^2 4^2 = 16 4 = 4X4 s = 4 X s1Question 12

WRONG

The figure above shows a rectangular parcel of land

divided into lots of equal size, as shown by the dotted lines. If the area of three of the lots is equal to one-

fourth of the total area in the parcel, then how many feet wide is each lot?60

http://writerphilippines.com/academicclinic/wp-content/uploads/2011/04/geom-28a.jpg


409030


Area of 3 lots = ¼ of area of rectangle, ¼ * 360 = width of lot = 90, 90/3 = width of 3 lots = 30ftQuestion 13

WRONG

ABCD is a trapezoid with AB parallel to CD. XY is the

median. If AB = 6 and XY = 13, then what is the length of CD?20221618


13 = [AB + CD]/2 13 = [6+CD]/2 = 26 = 6+CD CD = 26-6 CD = 20Question 14

WRONG

is equal to?


Question 15WRONG



In the right triangle ABC, what is the value of cos θ?3/54/55/33/4


cos = adjacent / hypotenuse = 6/10 = 3/5Question 16

WRONG

A rectangular solid with dimensions 2, 12, and q has the same volume as a cube with an edge length of 6.

What is the value of q?75119


V = 2 * 12 * q = 24q V = 6^3 =216 V solid rectangle = V cube 216 = 24q q = 216/24 = 36*6/24 = 9 q =

9Question 17

WRONG

How many sides of a regular polygon if has a sum of 1, 800o in its interior angle?10121311


Total interior angles = (n-2)(180) 1800= (n-2)(180) n-2 = 1800/180 = 10 n-2 = 10 n = 10+2 n = 12Question 18

WRONG

Given the figure, AB = CD, AC = BC = 4. What is AD?




Question 19WRONG

Find tan θ if sin θ = 2 / 3 and θ is not in the first quadrant


Question 20WRONG

The longest side of ΔABC is ______.BC


http://writerphilippines.com/academicclinic/wp-content/uploads/2011/04/25a.jpg


cannot be determinedACBA


angle A: 25 angle B: 75 angle C: 80 Longest side is side opposite the largest angle. AB is the longest side.Question 21

WRONG

Which of the following statements is/are false? I. A square is a rectangle with four congruent sides. II.

Rectangles have no congruent angles. III. A rhombus is a parallelogram with four congruent sides.II onlyI onlyI and II onlyIII only


Rectangle have no congruent angles: False Rectangle is quadrilateral with four congruent angles.Question 22

WRONG

What is the area of the kite whose diagonals have lengths 12 and 7?40422430


Question 23WRONG

Convert 225o to radians:


5 * \frac{\Pi radians}{4} Question 24

WRONG


In the coordinate system given, in which quadrant is sin

θ positive and cos θ negative? IIIIIIIV

Question 25WRONG

If the area of the triangle in the figure above is 12, then what

is the value of r?1342




Question 26WRONG

An equilateral triangle has the same perimeter as a square. What is the area of the square if the triangle has

side equal to 16?16914410081


P[triangle] = P[square], s=16, P=48 P=48 = 4S and S=12, A= S^2 = 12^2 =144Question 27

WRONG

The length of a rectangle is twice the width and is equal to the side of a square. Which of these statements

is true?The area of the square is 1 / 2 times that of the rectangle.The area of the rectangle is 1 / 4 times that of the square.The area of the rectangle is 1 / 2 times that of the square.The area of the square is 1 / 4 times that of the rectangle.


Rectangle: L = 2x, w = x area: L X W = 2x * X area of rectangle = 2x^2 Square: side = 2x Area = S^2 =

(2x)^2 area of square = 4x^2 Area of rectangle is ½ the area of squareQuestion 28

WRONG

What is the value of x in the diagram shown?22



4422/340


Vertical angles are congruent 2x = x+22 2x-x = 22 x = 22Question 29

WRONG

In the figure, the side of each small square is 27

centimeters. What is the length of MN?24 cm21 cm15 cm18 cm


Question 30WRONG

Convert to degrees:


Advanced Math Quiz

Congratulations - you have completed Advanced Math Quiz. You scored 0 out of 30. Your performance has

been rated as Need more practice!


Question 1WRONG

What is the 25th term of an arithmetic sequence whose 7th and 20th terms are 20 and 59 respectively?517455



77


Given :

a7 = 20

a20 = 59

a7 = a1 +(7-1)d

a20 = a1 +(20-1)d

20 = a1+6d 59 = a1+19d

Solving by elimination, we can solve the value of d.

a1+19d = 59 a1+19d = 59

- a1+6d = 20 +- a1-6d = -20

13d/13 = 39/13

d = 3

Solving for a1: Solving for a25:

20=a1+6(3) a25 = a1+24d

20 = a1+18 = 2 + 24(3)

a1 = 20-18 = 2+72

a1 = 2 a25 = 74Question 2

WRONG

If x1 = 5, x2 = 6, x3 = 9, x4 = 13, x5 = 14, x6 = 16, what is the value of ?45504749


= x1+x2+x3+x4+x5 = 5+6+9+13+14 = 47Question 3

WRONG

Which of the following expressions is not a function?y = 9 – xy = 2x + 1


Function - defined as a relation with one-to-one correspondence. It means that for every value of X in the

given equation, there corresponds a unique value of Y.

, is not a function because given a value of x say x=4, there corresponds two values for Y, 2 and -2Question 4

WRONG

A box contains 5 red balls, 4 blue balls, and 3 white balls. If a ball is chosen at random, what is the

probability that it is not blue?2/33/41/37/12


Probability not blue = [5+3]/12

= 8/12

= 2/3Question 5

WRONG

In how many ways can the letters of the word MERCY be arranged?5025120100


Solving for permutation for different objects nPn =n(n-1)(n-2)...(3)(2)(1) or n! 5! = 5*4*3*2*1 = 120 waysQuestion 6

WRONG

Which of the following is/are TRUE? I. Given the sequence 5, 10, 20, 40, 80, . . . is an arithmetic

sequence II. In the sequence 7, 14, 21, 28, 35, . . the next term is 70 III. Given the sequence 2, 5, 8, 11,

14, 17 the common difference is 3II onlyI and II onlyI onlyIII only


Statement I is false because it shows geometric sequence. Statement II is false because the next term is 42.Question 7

WRONG

On a certain street, there are an odd number of houses in a row. The houses in the row are painted

alternately blue and yellow, with the first house painted blue. If n is the total number of houses in the row,

how many of the houses are painted blue?n/2 + 1[n+1]/2n/2 - 1[n-1]/2


Let n = Total number of houses

n-1 = Odd number of house

[n-1]/2 = Houses that are painted blueQuestion 8

WRONG

If an amoeba can produce 4 amoebas every six hours, how many amoebas will there be after one day if the

reproduction started with one amoeba?82256374312


After 6 hrs = 4 amoebas After 12 hrs = 4*4= 16 amoebas After 18 hrs =16*4= 64 amoebas After 24 hrs

=64*4=256 amoebasQuestion 9

WRONG

A sample of 30 companies belonging to a certain industry reported the following number of employees.43 33 24 51 36 3150 46 50 29 40 2538 35 31 35 42 5047 21 45 45 28 3658 62 37 55 52 49

What is the range of given set of data? 63415640


Range = Highest value – Lowest Value

= 62 – 21 = 41Question 10

WRONG

A committee consists of three girls (Ana, Betty, Connie) and five boys (Ryan, Ben, Ceasar, Francis, Dan). A

delegate to a conference is to be chosen from the committee. What is the chance that a boy will be

selected?3/81/81/75/8


Total number of delegates = 8

Total number of boys = 5

Probability = 5/8Question 11

WRONG

What is the sum of the first six terms in the arithmetic progression whose first three terms are –1, 1, and 3?26252324


Sum of first 6 terms:

a1= -1

a6 = -1 + 5(2) = 9

sn = n/2(a1+a6)

s6 = 6/2(-1+9)

= (3)8

= 24Question 12

WRONG

What is the range of g(x) =all real numbersall real numbers greater than or equal to -1/5all real numbers greater than -1/5all real numbers greater than 0


Solving for the range is also the same as solving for the domain.

y =

5y = 2x^2-1

5y + 1 = 2x^2

Range is defined as all possible values of y correspond to value of x. From the given equation must be

greater than or equal to zero.

Therefore, range for given equation: all real numbers greater than or equal to -1/5 5y +1 Therefore, range

for given equation: all real numbers greater than or equal to zero.Question 13

WRONG


What is the population mean if the sum is 1224? 46.440.840.648.3


n = 30

sum = 1224

average: 1224/30 = 40.8Question 14

WRONG

Linda started working at a monthly salary of P5, 600.00 and steadily received an annual increase of P250.

How much did she earn in the 11 years that she worked in that office?P69, 700.00P69, 950.00P64, 100.00P67, 200.00


a1= 5,600 * 12

= 67,200 (starting annual salary)

n = 1 d = 250

a11 = a1+(11-1)d

= 67,200 +10 (250)

= 67,200 +2,500

= 69,700Question 15

WRONG

If Nelly gets 3 in his first quiz and 6 in his second quiz, and doubles his quiz everytime they have quiz, what

will be his average score after their fifth quiz?18.621.520.422.8


1st Quiz = 3

2nd Quiz = 6

3rd Quiz = 12

a1 = 3 r = 2

93/5 = 18.16Question 16

WRONG

Fifty-one electric poles are placed along a straight highway such that the distance between the first and the

last pole is 2 250 meters and the distance between any two consecutive poles are equal. How many meters

apart are any two successive poles?50 meters40 meters45 meters30 meters


Getting the distance between the two poles, we must get the number of between the two poles:

51-1 = 50

2,250 / 50 = 45 metersQuestion 17

WRONG

In statistics, a/an __________ is an arrangement of data according to size or magnitude.DiscriminantFrequencyArrayMatrix


Array is the arrangement of data according to size or magnitudeQuestion 18

WRONG

The first term of an arithmetic progression is 6 and the common difference is –3. What term is –51?21202223


Given: a1= 6 d = -3

an= -51 n = ?

an = a1+ (n-1)d

-51 = 6+(n-1)(-3)

-51 = 6 +-3n+3

-51 = 9 + -3n

-51-9 = -3n

-60 = -3n

n = 20Question 19

WRONG

In a circular dining table, 5 guests are to be seated. In how many ways can the five guests sit?10241230


Solving by circular permutation P = (n-1)! = (5-1)! = 4! = 24Question 20

WRONG

In how many ways can a committee of 4 be chosen from a group of 8 people?

48702432


Solving by combination

C = n!/[(n-r)!r!]

n = 8 r = 4

8!/[(8-4!)4!

[4x2x7x6x5]/[4x3x2x1]

=2x7x5

C = 70Question 21

WRONG


What is the median?41404342


To solve for the median, arrange the set of data in increasing order.

21 24 25 28 29 31 31 33 35 35 36 36 37 38 40 42 43 45 45 46 47 49 50 50 50 51 52 55 58 62

15th = 40

16th = 42

median = [N+1]/2 = [30+1]/2 = 31/2 = 15.5th score

x15 = 40

x16 = 42

[40+42]/2 = 41Question 22

WRONG

In a geometric progression 1, 2, 4, 8, . . . how many terms are added if the sum is 127?6789


Given: a1 =1

sn = 127

a2 =2

n = ?

r=a2/a1 = 2/1 = 2

sum of nth terms in geometric progression:

sn = [a1(1-r^n)]/ [1-r]

127 = [1(1-2^n)]/(1-2)

-127 = 1-2^n

-2^7= -2^n

n=7 -127 = 1-2n -127-1 = -2n -27= -2n n = 7Question 23

WRONG

The percentiles are the scores-points that divide a distribution into 100 equal parts. What do you call a

distribution that divides into 10 equal parts?inter quartileDecileQuartiletenths

Question 24WRONG

If Jun saves P10.00 on the first week and adds P4.00 each week, how much will he save on the last week of

the 3rd month?P40.00P54.00P50.00P58.00


a1= 10.00

d = 4.00

an= 4 * 3 = 12wks

a12 = a1+(12-1)d

= 10.00 + (11) 4.00

= 10.00 + 44.00

= 54.00Question 25

WRONG

If f(x) = , what is the domain of f(x)?The domain of f(x) are all real numbers.The domain of f(x) are all real numbers except 3.The domain of f(x) are all real numbers except 0.The domain of f(x) are all real numbers except -3.


Solving for the domain, take note that division by zero is undefined. From the given equation, x-3 must not

be equal to zero and must not be included into the domain. Therefore the domain of f(x) are all real number

except x = 3Question 26

WRONG

In the geometric progression 4, 12, 36, 108, . . . the common ratio is:211/33


solving for the common ratio:

r = a2/a1 = a3/a2 = a4/a3

r = 12/4 = 36/12 = 108/36

r = 3Question 27

WRONG

Given the table below, what is the equation of the given relation?X 0 1 2 3 4 5

y 1 3 5 7 9 11y = x

y = 2x

y = 2x – 1

y = 2x + 1


SLOPE (m)= (y2-y1)/(x2-x1)

=(3-1)/(1-0)

m=2

(y-intercept) b=1

y=mx+b

y=2x+1Question 28

WRONG

If two dice are tossed together, in how many ways can they fall?3612246


each die has 6 possible outcomes, so 6x6 = 36Question 29

WRONG


What is/are the mode/s of the set of data? 4545 and 355050 and 45


Most Frequent data is 50Question 30

WRONG

What is the value of 3! (3 factorial)?cannot determine136


3! = 3*2*1 = 6

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Basic Math Quiz

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