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WorksheetsMATH QUIZ
Total questions: 76
Worksheet time: 40mins
1. 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)?
a. y = (950 + 150)x
b. y = 150x +950
c. x = 950y + 150
d. y = 950x + 150
2. Nelia takes 3 4 hour to dress and get ready for school. It takes 4 5 hours 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?
a. 6:42 am
b. 6:27 am
c. 6:57 am
d. 7:02 am
3. A child has read 2/3 of a book. The read part of a book has 100 pages more than the unread. How many pages is the book?
a. 150
b. 200
c. 300
d. 350
4. If a box contains 9 yellow, 5 black, and 14 green balls, find the probability of getting a green
a. 0.35
b. 0.14
c. 0.5
d. 0.55
5. A card is drawn from a deck of playing cards. What is the probability that the card is black?
a. 1/ 9
b. 1 /6
c. 1/3
d. 1/ 2
6. A 12L solution that was 85% vinegar was mixed with an 8L solution of pure water. Find the new concentration of vinegar
a. 41
b. 42.5
c. 51
d. 52.5
7. What is the slope of the line 3x – y = 11?
a. -1/3
b. 1/3
c. -3
d. 3
8. In a right triangle, cos ø = 3 5 , what is the value of tan ø?
a. 4/ 5
b. 7 /5
c. 3/ 4
d. 4 /3
9. What is the slope of the line passing through (2, 5) and (-3, 9)?
a. 4 /5
b. 5/4
c. -4/5
d. -5/4
10. Determine the midpoint of the line segment joining the points (7, -3) and (-1,6).
a. 2, 3/ 2
b. 2, - 3/ 2
c. 3, 3/ 2
d. 1, 5/ 2
11. A taxi charges P50 for the first kilometer and charges P3 for each additional mile. How far could P200 go?
a. 50 km
b. 51 km
c. 66.67 km
d. 4 km
12. A factory produced 2300 TV sets in its first year of production. 4500 sets were produced in its second year and 500 more sets were produced in its third year than in its second year. How many TV sets were produced in three years?
a. 11,800
b. 12, 800
c. 10,800
d. 13,800
13. John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half? a. 6 minutes b. 12 minutes c. 9 minutes d. 3 minutes
a. 6 minutes
b. 12 minutes
c. 9 minutes
d. 3 minutes
14. The distance between two towns in a given map is 2 3⁄4 cm. If 1⁄2 cm represents 6 km, what is the distance between the two towns?
a. 18 km
b. 33 km
c. 36 km
d. 42 km
15. How much should a man deposit in a bank at 6% simple interest rate if he wants to earn ₱1,200 a year?
a. ₱10,000
b. ₱30,000
c. ₱15,000
d. ₱20,000
16. Julius has ₱15,000 in the bank. After a year, he expects it to earn ₱750. What is the rate of interest?
a. 2%
b. 4%
c. 5%
d. 6%
17. 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?
a. 8
b. 9
c. 7
d. 11
18. How much will P25,000 amount to at 5% simple interest rate after 2 years?
a. P27,500
b. P28,500
c. P2,500
d. P27,000
19. A meter stick was cut into two pieces at the 64-cm mark. What is the ratio of the shorter piece to the longer piece?
a. 9:16
b. 16:25
c. 13:50
d. 9:25
20. If a certain job can be finished by 18 workers in 26 days, how many workers are needed to finish the job in 12 days?
a. 24
b. 30
c. 39
d. 45
21. Julio’s salary is ₱8,500 per month. If it is increased by 12%, what is his new salary per month?
a. ₱9,320
b. ₱9,420
c. ₱9,520
d. ₱9,550
22. An article of clothing is on sale at 15% off the marked price. If the marked price is 1,050, what is the sale price?
A. 132.15
B. 892.5
C. 157.5
D. 787.5
23. Of the following discounts, which is equal to the series discount 30%, 20%, 10%
a. 40%
b. 46.9%
c. 48%
d. 49.6%
24. Ana and Beth can do a job together in three hours. Working alone, Ana can do the job in 5 hours. How long will it take Beth to do the job alone?
a. 3 and 1/3 hours
b. 2 and 1/3 hours
c. 3 hours
d. 7 and ½ hours
25. A regular solid where the length, the width, and the height are equal is called ______.
a. cone
b. cube
c. sphere
d. circle
1. What is the area of a triangular piece of land which has a base of 940 m and a height of 128 m?
a. 60,160 sqm
b. 120, 320 sqm
c. 80,120 sqm
d. 160,240 sqm
2. How many meters of fencing is needed to enclose an 84-meter by 48-meter rectangular garden?
a. 132 m
b. 244 m
c. 264 m
d. 4,032 m2
3. How many gallons of water will fill a fish tank that is 18 inches by 12 inches by 48 inches? There are 231 cubic inches per gallon. Round your answer to the nearest gallon.
A. 45
B. 38
C. 47
D. 40
4. Who is the Father of Geometry?
a. Hipparchus of Nicaea
b. Euclid
c. Leonhard Euler
d. Isaac Newton
5. The angles of a triangle are in the ratio of 1:3:5. What is the largest angle?
A. 20
B. 60
C. 80
D. 100
7. What is the sum of the interior angles of a regular pentagon?
A. 720 degrees
B. 900 degrees
C. 180 degrees
D. 540 degrees
8. What is the name of the polygon if the sum of the interior angle measures 900?
A. pentagon
B. hexagon
C. heptagon
D. octagon
9. How many unique diagonals can be drawn in a pentagon?
A. 5
B. 6
C. 7
D. 10
10. A tin can has a radius of 6 cm and a height of 20 cm. What is the volume of milk that this container can hold?
a. 2000 cm³
b. cm³
c. 2261 cm³
d. 3000 cm³
11. What is a scalene triangle?
a. A triangle with two equal sides and angles
b.A triangle with no equal sides and angles
c. A triangle with four equal sides and angles
d.A triangle with three equal sides and angles
12. The hypotenuse of a right triangle is 25 ft. If one of the leg is 24 ft, what is the length of the other leg?
a. 6 ft
b.5 ft
c. 7 ft
d.11 ft
13. 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?
a. 84
b.7
c. 12
d.14
14. What are the dimensions of a cube if its volume is 64?
a. 8 x 4 x 2
b. 4 x 4 x 4
c. 32 x 1 x 2
d. 4 x 3 x 6
15. One angle of a parallelogram is 35°, what are the measures of the three other angles?
a. 145° , 35° , 145°
b.35° , 65° , 65°
c. 85° , 135° , 140°
d.45° , 65° , 170°
16. A square and an equilateral triangle have equal perimeter. If the side of the square is 3 units less than the side of the triangle, what is the area of the square?
a. 100 sq units
b. 81 sq units
c. 144 sq units
d. 64 sq units
17. The vertex of an isosceles triangle is 20 degrees. What is the measure of one of the base angles?
a. 150 degrees
b. 75 degrees
c. 80 degrees
d. 90 degrees
18. Which has the most volume?
a. A box 10 meters high, 6 meters wide, and 14 meters long
b. A box 1 meter high, 60 meters wide, and 14 meters long
c. A box 9 meters high, 7 meters wide, and 14 meters long.
d. A box 11 meters high, 8 meters wide, and 7 meters long.
19. The edges of a rectangular solid have these measures: 1.5 ft by 11/2 ft by 3 inches. What is its volume in cubic inches?
a. 324
b. 225
c. 972
d. 45
20. Find, in feet, the amount of framing needed to frame a picture
8 1 /2 inches by 11 inches.
a. 3 1 /4 𝑓𝑡
b. 2 1 /4 𝑓𝑡
c. 4 1/ 4 𝑓𝑡
d. 5 1 /4 𝑓t
20. The perimeter of an isosceles triangle is 42 in. The two equal sides are each 3 times as long as the third side. What are the lengths of these sides?
a. 18, 21, 3
b. 14, 14, 14
c. 16, 16, 8
d. 18, 18, 6
20. The perimeter of an isosceles triangle is 42 in. The two equal sides are each 3 times as long as the third side. What are the lengths of these sides?
a. 18, 21, 3
b. 14, 14, 14
c. 16, 16, 8
d. 18, 18, 6
21. Which of the following sets of number can be sides of a triangle?
a. 4, 5, 6
b. 6, 3, 2
c. 3, 3, 6
d. 2, 3, 1
22. What is the volume of a cube whose surface area is 54?
a. 54
b. 27
c. 81
d. 729
23. A box is 12 in wide, 16 inches long, and 6 in high. How many square inches of paper would be needed to cover it on all sides?
a. 192 sq. in.
b. 900 sq. in.
c. 360 sq. in.
d. 720 sq. in.
24. What is the length of the diagonal BD of the rectangle pictured below?
a. 50
b. 40
c. 45
d. 30
25. Who is the Father of Mathematics?
a. Copernicus
b. Aryabhata
c. Carl Friedrich Gauss
d. Archimedes
1. Who is the “Father of Algebra”?
a. Rene Descartes
b. Euclid
c. George Polya
d. Musa Al - Kwarizm
2. If x is an integer and 90>3x, then x cannot be
a. 27
b. 30
c. 29
d. 28
3. Give the value of a if 4ab = 20 and b = 5
a. 0
b. 1
c. 2
d. 3
4. Which of the following gives the sum of the polynomials ( a² + b² + ab) and (3a² + 4ab - 2b²)?
a. 4a² + b² +5ab
b. 5a² + 5b² - 5ab
c. 3a² + 5ab - 2b²
d. 4a²+5ab- b²
5. Simplify 2 -1 • 3-1 (2-1 + 3-1).
a. 5/6
b. 5/36
c. 36/5
d. 6/5
6. The area of a rectangle is 6x² with length of 2x. Find the perimeter.
a. 16x
b. 10x
c. 12x²
d. 18x
7. The value of the expression 3xy + 3y + 7 when x=2 and y = 3 is:
a.36
b. 42
c. 34
d. 40
8. The sum of two integers is -33. The first integer minus the second integer is 9. Find the highest integer.
a. -12
b. -21
c. -14
d. -15
9. Which of the following is equivalent to the polynomial 2x2 – 22x + 20?
a. (2x-5)(x+4)
b. (x-5)(2x-4)
c. 2(x-1)(x-10)
d. 2(x2 -11x+5)
10. What are the factors of 65x³ - 35x² + 5x
a. 5x(13x² - 7x + 1)
b. 5(13x³ - 7x + 1)
c. -5(13 – 7x + 1)
d. 5(13 – 7 + x)
11. Which of the following is the factorization of x 2 - 4 2
a. (x +4)(x + 2)
b. (x – 4)2
c. x(x – 2x + 2)
d. (x + 4)(x – 4)
12. The area of a rectangle is x2 + 2x – 8. If its length is x +4, what is its width?
a. (x + 2)
b. (x – 2)
c. (x + 4)
d. (x – 4)
13. Nine consecutive even numbers have a sum of 180. What is the smallest of these even numbers?
a. 18
b. 16
c. 14
d. 12
14. A 13L solution that was 19% vinegar was mixed with a 11L solution that was 61% vinegar. Find the new concentration of vinegar.
a. 40.35%
b. 32.50%
c. 59.25%
d. 38.25%
15. How many gallons of 30% solution of HCI acid should be added to 2 gallons of 15% solution of the same acid to make a 20%solution?
a. 2
b. 1
c. 1.5
d. 2.5
16. Art is 7 years younger than Thor. The sum of their age is 53. How old is Art
a. 46
b. 60
c. 30
d. 23
17. Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus. How old is Tanya now?
a. 8
b. 14
c. 36
d. 42
18. What is John’s present age, if 10 years later his age will be 5 times his age 6 years ago?
a. 8
b. 9
c. 10
d. 12
19. Ana and Beth can 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?
a. 3 and 1/3 hours
b. 2 and 1/3 hours
c. 3 hours
d. 7 and 1/2 hours
20. 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?
a. 140 km
b. 100 km
c. 70 km
d. 50 k
21. If a certain job can be finished by 18 workers in 26 days, how many workers are needed to finish the job in 12 days?
a. 24
b. 30
c. 39
d. 45
22. 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?
a. 8
b. 9
c. 7
d11
23. If a man uses 20 gallons of gasoline to travel 350 km in his car, how many gallons will he need for a 750 km trip?
a. 42.86
b. 52.86
c. 62.86
d. 72.86
24. Which of the following algebraic expressions results in an even number if n=1?
a. n 2 + n + 1
b. 3n2 + 2n
c. n 2 + 3n
d. n 2 + 4n
25. Three times the first of the three consecutive integers is three more than twice the third. Find the third integer
a. 9
b. 13
c. 11
d. 15
