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WorksheetsMathematics Quiz
Total questions: 145
Worksheet time: 1hrs 15mins
How many line segments can be made from 30 non-collinear points?
900
870
450
435
Calculate the mean absolute deviation of the following numbers: 60, 80, 100, 75 and 95
12.4
14.2
16.1
18.9
Which of the following is the factorization of the binomial x^2 - 4^2?
(x + 4)(x + 2)
(x – 4)^2
x(x + 2x + 2)
(x – 4)(x + 4)
What value of x will satisfy the equation: 0.4(5x – 1470) = x?
490
2,130
1470
588
Which of the following is ALWAYS true?
Vertical pairs of angles are supplementary.
Vertical pairs of angles are complementary.
Linear pairs of angles are congruent.
Linear pairs of angles are supplementary.
The average of 5 different counting numbers is 20. What is the highest possible value that one of the numbers can have?
20
40
30
90
Three brothers inherited a cash amount of P62,000 and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?
P75,000
P30,000
P24,800
P37,200
What are the missing terms in the series 5, 20, 80, ___,1280, ___, 20480?
50; 210
40; 160
35; 135
320; 5120
At what rate per annum should P2400 be invested to yield a total of P3000 in 5 years?
What are the missing terms in the series 5, 20, 80, ___,1280, ___, 20480?
50; 210
40; 160
35; 135
320; 5120
At what rate per annum should P2400 be invested so that it will earn an interest of P800 in 8 years?
6 ½ %
5 ½ %
4.17 %
6 %
The area of a rectangle is (x^2 + 2x - 8). If its length is x + 4, what is its width?
x + 2
x - 2
x + 1
x + 6
What is the value of 12⅙ - 3 ⅜ - 5 ⅔ + 20 ¾?
21
22
23
21
The vertex angle of an isosceles triangle is 20°. What is the measure of one of the base angles?
150°
60°
75°
80°
Ana and Beth do a job together in three hours. Working alone, Ana does the job in 5 hours. How long will it take Beth to do the job alone?
3 and 1/3 hours
2 and 1/3 hours
3 hours
7 and 1/2 hours
How much greater is the sum of the first 100 counting numbers than the sum of the first 50 counting numbers?
110
3,775
3,155
1200
Which of the following has the largest value?
8/5
3/9
6/5
9/4
A water tank contains 18 liters when it is 20% full. How many liters does it contain when 50% full?
60
30
58
45
The edges of a rectangular solid have these measures: 1.5 feet by 1½ feet by 3 inches. What is its volume in cubic inches?
324
225
972
27
In a certain school, the ratio of boys to girls is 5 is to 7. If there are 180 boys and girls in the school, how many boys are there?
105
90
45
75
Ruben’s grades in 6 subjects are 88, 90, 97, 90, 91 and 86. What is the grade that he should aim for in the 7th subject if he has to have an average of 91?
97
95
92
89
On a certain day, three computer technicians took turns in manning a 24-hour internet shop. The number of hours Cesar, Bert, and Danny were on duty was in the ratio 3:4:5, respectively. The shop owner pays them P50 per hour. How much would Danny receive for that day?
P 230
P500
P160
P480
A retailer buys candies for P90.25. The pack has 35 pieces of candies. If she sells each candy for P3.25, how much profit does she make?
P11.50
P23.50
P37.50
P18.75
Determine the midpoint of the line segment joining the points (7, -3) and (-1, 6).
(2, 3/2)
(2, -3/2)
(3, 3/2)
(1, 5/2)
One side of a 45° - 45° - 90° triangle measures x cm. What is the length of its hypotenuse?
x √3 cm
x cm
(x √3)/2 cm
x √2 cm
The legs of one right triangle are 9 and 12, while those of another right triangle are 12 and 16. How much longer is the perimeter of the larger triangle than the perimeter of the smaller triangle?
84
7
12
14
An online shop sells a certain calculator for P950 and charges P150 for shipping within Manila, regardless of the number of calculators ordered. Which of the following equations shows the total cost (y) of an order as a function of the number of calculators ordered (x)?
y = (950 + 150)x
y = 150x +950
x = 950y + 150
y = 950x + 150
Which of these has the longest perimeter?
A square 21 cm on a side
A rectangle 19 cm long and 24 cm wide
An equilateral triangle whose side is 28 cm
A right triangle whose two legs are 24 and 32 cm
How many square inches are in 2 square yards?
900
144
1296
2,592
In a playground for Kindergarten kids, 18 children are riding tricycles or bicycles. If there are 43 wheels in all, how many tricycles are there?
8
9
7
11
Aira takes ¾ hour to dress and get ready for school. It takes 4/5 hour to reach the school. If her class starts promptly at 8:00 am; what is the latest time she can jump out of bed in order not to be late for school?
6:42 am
6:27 am
6:57 am
7:02 am
Which common fraction is equivalent to 0.215?
43/200
27/125
21/50
108/375
What are the next three terms in the progression 1, 4, 16 ...?
64, 256, 1024
67, 259, 1027
48, 198, 1026
65, 257, 1025
A man is 3 times as old as his son now. Four years ago, the sum of their ages was 36. Find the man’s age now.
33
11
29
36
What is the least common multiple of 12, 24 and 72?
12
72
144
36
The hypotenuse of a right triangle is 25 feet. If one leg is 24 feet, what is the length of the other leg?
6 ft.
5 ft.
20 ft.
7 ft.
If two variables X and Y are directly related, which of these is NOT true?
When X is low, Y is also low.
As X increases, Y also increases.
When X increases, Y decreases.
A high Y is associated with a high X.
Find the domain of f(x) = .
x
x = 1
x = -1
x , x -1
A car travels D km in H hours. Which of the following expressions shows the distance travelled by the car after M minutes?
MD/H
60MD/H
MD/60H
60HD/M
Find the surface area of a rectangular box whose dimensions are 30 cm x 40 cm x 50 cm.
4700 cm^2
7050 cm^2
9400 cm^2
11750 cm^2
If x – y = 3, then (y-x)^-3 = ___.
9
-9
1/27
-1/27
Factorize (x^4 – 81) completely.
(x-3)^4
(x – 3)^2(x + 3)^2
(x+3)(x-3)(x^2+9)
(x+3)^3(x-3)
√8+√18√2 = ____
4√2
5√2
√24
2√6
By which property can we state the following: “If ax + b = c, then ax + b - b = c – b.”
transposition
transitive
additive inverse
addition property
The midpoint of P and (-7, 4) is (-3, 1). What are the coordinates of P?
(-5, 5/2)
(-11, 7)
(1, -2)
(-2, 3/2)
What is the slope of the line 3x – y = 11?
-1/3
1/3
-3
3
What is the minimum value of f(x) = 3x^2 + 6x + 7?
1
-1
4
-4
If xy = 23 and x^2 + y^2 = 75, find x + y.
10.7845
11
11.2155
11.7845
How much water must be evaporated from 90 ml of a 50% salt solution to increase its concentration to 75%?
40 ml
38 ml
35 ml
30 ml
A and B form a vertical pair. If m A = 3x and m B = 5x – 44, what is the value of x?
50.5
28
22
16.75
The angle of elevation from an observer to the top of a building is 30°. If the building is 50 meters high, how far is the observer from the building?
25
25√3
50√3
100
1 and 3 are opposite angles in a parallelogram. If m 1 = 40°, what is m 3?
40°
50°
70°
140°
Two parallel lines are cut by a transversal, forming H and K. If the two angles are exterior angles on the same side of the transversal, what is the measure of H if the measure of K is 50°?
25°
50°
100°
130°
Given sin θ = 0.28, which of the following could possibly be cos θ?
0.72
-0.86
0.96
1.14
If the sum of the supplement and the complement of an angle is 130 degrees, what is the angle?
65
70
50
25
If today is a Saturday, what day is 125 days from now?
Thursday
Friday
Sunday
Monday
Car A is traveling towards the east at a speed of 35 kph, while car B is traveling towards the west at 45 kph. If they left the same point at 1:00 PM, how far apart are they at 3:45 PM?
240 km
220 km
200 km
180 km
Mr. Santos left the house at 1:00 PM and traveled east at an average speed of 40 kph. His wife Mrs. Santos left the at 2:00 PM and traveled west at an average speed of 30 kph. How far apart are they at 4:00 PM?
180 km
140 km
100 km
60 km
Five consecutive even numbers have a sum of 120. What is the sum of the 2nd and 5th even numbers?
46
48
50
52
If x = 3, which of the following is equal to 13?
5x + 2
x^2 + 2x + 1
x^3 – 4x – 2
x^2 + x + 2
If f(x) = x^2 + 4x + 3, which of the following is equal to 99?
f(11)
f(-12)
f(12)
f(-8)
Which of the following could be the value of x if x ≡ 3(mod 11)?
33
47
52
2
What is the center of x^2 + y^2 – 8x + 6y = 0?
(-8,6)
(8, -6)
(-4, 3)
(4, -3)
Which of the following is a parabola that opens to the right?
6y = (x+9)^2 - 8
-4y = (x-6)^2 + 3
-5x + 3 = (y-2)^2
2x + 6 = (y+3)^2
Factorize: 12x^2 – 7x – 10.
(6x + 5)(2x – 2)
(6x – 2)(2x + 5)
(3x + 2)(4x – 5)
(3x – 2)(4x + 5)
For which value of k does 4x^2 + kx + 49 have only one root?
-28
-14
7/2
-7/4
If A and B are the roots of x^2 + 7x + 15, what is AB?
7√3 + 2
2√3 + 7
3√2 + 2√3
15
1 + 2 + 4 + 8 + ... + 2048 = ____
4095
4096
4097
4098
24 + 12 + 6 + 3 + 1.5 + ... = ____
48
50
54
60
How many terms are there in the sequence 5, 13, 21, 29, ..., 357?
40
44
45
70
How many ways can a group of 5 be selected from 5 boys and 5 girls if the group must contain 3 boys and 2 girls?
151,200
1200
252
100
What is the probability of getting a sum of 9 when rolling 2 dice?
1/9
5/36
1/6
7/36
C is the midpoint of AB where A is at (-3,4) and B is at (7,-10). Find the coordinates of C.
(5,-7)
(-5,7)
(2,-3)
(-2,3)
It is a line segment formed by connecting two non-consecutive vertices of a polygon.
side
apothem
altitude
diagonal
Find the equation of the line perpendicular to 2x – 3y = 7, passing through (1,2).
2x + 3y = 8
3x + 2y = 7
2x – 3y = -4
3x – 2y = -1
Two parallel lines are cut by a transversal to form angles X, Y, and Z. Given that X and Y are alternate interior angles while Y and Z are interior angles on the same side of the transversal, find m Z if m X = 40 degrees.
40 degrees
50 degrees
130 degrees
140 degrees
The measure of each interior angle of a regular polygon is 144 degrees. How many vertices does it have?
36
24
12
10
Solve: (x + 9)(x – 3) < 0
-9 < x < 3
x < -3 x > 9
x < -9 x > 3
x ≤ -9, 3
The product of two consecutive even counting numbers is 3248. Find the smaller number.
42
46
52
56
Solve for x: 2log2(3) – log2(18) = x
½
-1
-2
1
Twinkle Bucks has four serving sizes for their milk tea: Small, Medium, Large, and Extra Large. What level of data are they using for their serving sizes?
nominal
ordinal
interval
ratio
After receiving a 20% markup, a bag was sold for P960. How much was it originally?
P1152
P4800
P800
P1200
Given BT bisects ABC and m ABT = 40 degrees, find m ABC.
20 degrees
40 degrees
60 degrees
80 degrees
A cone has a radius of 9 cm and a slant height of 15 cm. Find its volume.
243 π cm^3
324 π cm^3
405 π cm^3
486 π cm^3
If f(x) = x^2 + 4x + 4 and g(x) = x-2, find f(g(x)).
x^2
x^3 – 6x^2 + 6x – 9
x^2 + 8x + 16
x^2 – 8x + 16
A 10 ft ladder leans against a wall, forming a 30 degree angle with it. How high on the wall does it reach?
5 ft
5√3 ft
10√3 ft
10√6 ft
How many ways can a committee of 5 be selected from 9 people?
126
120
3024
15120
What is 60% of 80% of 500?
480
240
120
60
If 3x = 7 and 2y = 5, what is 6(x-y)?
-1
1 - √35
√7 - √5
If two numbers have a product of 71 and the sum of their squares is 147, what is their sum?
-17
5
12√3 + √5
12 + √3
Find the median: 7, 9, 11, 10, 9, 13, 17, 14
10 and 11
9 and 10
10.5
9.5
How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 if repetition is not allowed?
60
80
100
120
How many ml of 20% acid must be added to 400 ml of 50% acid to make a 30% acid solution?
1000 ml
900 ml
800 ml
750 ml
How many ml each of 10% and 50% solution should be mixed to make 500 ml of 18% solution?
400 ml of 10% and 100 ml of 50%
350 ml of 10% and 150 ml of 50%
300 ml of 10% and 200 ml of 50%
200 ml of 10% and 300 ml of 50%
It takes 28 men a total of 24 days to build a house. How long would it take 32 men to build a similar house?
28 days
27 days
21 days
19 days
Evaluate: lim
undefined
limit does not exist
8
+
A box contains 7 red, 8 blue, and 9 white balls. When taking two balls in succession, what is the probability that both balls are white?
9/64
9/69
7/64
7/69
Which of the following has two diagonals that are perpendicular bisectors of each other?
kite
rectangle
rhombus
isosceles trapezoid
Find the volume of a steel cylinder of radius 5 cm and height 12 cm.
300 π cm³
250 π cm³
200 π cm³
100 π cm³
A cube sits perfectly inside a sphere of volume 108√3 π cm³. Find the volume of the cube.
27 cm³
54 cm³
108 cm³
216 cm³
Find the distance in cm of an 80 cm chord from the center of a circle whose radius is 41 cm.
41 - 2√10
41 - 4√10
9√2
9
Which quadrilateral has two congruent diagonals that bisect each other?
kite
isosceles trapezoid
rectangle
rhombus
What is the longest side of ∆MTC if m M = 40° and m C = 60°?
MC
TC
MT
CT
Find the altitude to the hypotenuse of a right triangle whose legs measure 10 cm and 24 cm.
120 cm
cm
120√2 cm
24√5 cm
Find the inverse of y = x² + 10x.
y⁻¹ = √(25 + 5)
y⁻¹ = √(25 – 5)
y⁻¹ = √(+25 + 5)
y⁻¹ = √(+25 – 5)
Find the intersection of y = 2x + 3 and y = 4x – 11.
(-4/3, 0)
(4/3, 0)
(7, 17)
(-7,-17)
Find the area of the triangle whose vertices are (1,4), (2,3), and (3,0).
0
1
5/3
3/4
Find the tenth term: 3, 10, 17, 24, ...
66
67
68
69
Find the remainder when x⁴ – 5x³ + 6x² + 2x + 1 is divided by (x – 2).
17
13
9
5
The sum of Fe’s age and Sita’s age is 60. Twelve years ago, Fe was twice as old as Sita. How old is Sita now?
18
24
30
36
If the length of a rectangle is increased by 20% while the width is decreased by 10%, what will happen to its area?
decreased by 10%
increased by 10%
increased by 8%
decreased by 2%
The 19th term of an arithmetic sequence is 85 and the 12th term is 43. Find the common difference.
5
6
7
8
If 2x = 3y and 4y = 5z, what is z in terms of x?
z = x
z = x
z = x
z = x
Victor had an average of 94 on his first four Math tests. After taking the next test, his average dropped to 93. Find his most recent grade.
88
89
90
91
X is of Y and Y is of Z. What part of Z is X?
X = Z
X = Z
X = Z
X = Z
Two buses leave the same station at 8:00 pm. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many kilometers apart are the buses at 10 pm?
140 km
100 km
70 km
50 km
A bus drove for 6 hours at 75 kph and 4 hours at 80 kph. What was its average speed?
76 kph
77 kph
77.5 kph
78 kph
18 students failed a quiz. They represent 30% of the class. How many students passed the quiz?
60
42
36
24
Rationalize: √
√ + 1
2√5 – 4
√
√
RNHS has 130 quizzers. 67 of them are Math, 60 are Science, and 20 are quizzers for both Math and Science. How many quizzers are neither Math nor Science?
0
13
17
23
Mr. Tondo has P100,000 to invest, from which he wants to earn P5600 per year. Bank A offers 5% per annum while Bank B offers 6%. How much should he invest at Bank B?
P45,000
P50,000
P55,000
P60,000
Evaluate when x = ¾ and y = .
-38
-19
19
38
Today, Vic is 11 years old while his father is 37. How many years from now will his father be twice as old as he?
15
13
11
10
Carla and Diana are on a seesaw. Carla weighs 50 kg and sits 168 cm to the left of the fulcrum. If Diana weighs 60 kg, how far to the right of the fulcrum must she sit to balance the seesaw?
140 cm
170.8 cm
201.6 cm
210 cm
Twenty guests shake hands with each other. If each guest is to shake hands with all the other guests, how many handshakes will be made?
400
380
200
190
How many line segments can be made from 30 non-collinear points?
900
870
450
435
The longest chord of a circle is 80 cm. How long is its radius?
20 cm
30 cm
20√2 cm
40 cm
Find k such that 34k67 is divisible by 9.
5
6
7
8
Find the largest area of a rectangle whose perimeter is 100 cm.
2500 cm²
2499 cm²
625 cm²
624 cm²
What time is 200 minutes past 10:30 PM?
12:30 AM
12:30 PM
1:50 AM
1:50 PM
Find the product of two numbers whose GCF is 24 and LCM is 120.
2880
1440
720
360
The salary of 4 men for 5 days is P9,000. How much is the salary of 5 men for 6 days?
P12,000
P12,600
P13,500
P14,400
The average grade of eleven students is 83. If the average of six of these students is 88, what is the average of the other 5 students?
77
78
79
80
If x is 80% of y, what percent of y is x?
120%
125%
130%
135%
Bus X left the terminal at 1 PM and traveled at a speed of 60 kph. Bus Y left the same terminal 2 hours later and traveled 80 kph on the same route. What time will Bus B catch up with Bus A?
6 PM
9 PM
11 PM
1 AM
What is the degree of the polynomial -3 x²y³ + 21 x³y⁴ – 7 x⁵y⁶ – 15?
4
5
11
21
The average of x+5, 2x-4, and x+7 is 20. Find x.
18
13
9
8
Mia is 16 years younger than Kia. 13 years ago, Kia was thrice as old as Mia. What is Kia’s present age?
43
40
37
34
Insert one term between 18 and 32 to make a geometric sequence.
20
24
25
27
There are 100 pigs and chickens in a farm, all of which are healthy. If there are 340 legs in total, how many pigs are there?
70
65
60
55
Adam can do a job alone in 8 hours, while Bam can do the same job in 12 hours. One day, they worked together for 1 hour before Bam left Adam to finish the job. How long will it take Adam to finish the remaining job?
6 hrs 50 mins
6 hrs 40 mins
6 hrs 30 mins
6 hrs 20 mins
Find x if 27/48 = 9/x.
144
81
72
60
Solve for x: 49/x = 343.
1.142857
7
1.5
√7
What is the highest possible product of two numbers if their sum is 45?
506
506.25
506.5
506.725
Which statistical test is used for comparing observed frequencies to expected frequencies?
ANOVA
t-test
Pearson R
Chi Square
