Republic of the Philippines
Department of Education
REGION III-CENTRAL LUZON
REGIONAL ASSESSMENT TEST
Mathematics 6
I.
Directions: Read each item carefully and choose the letter of the best answer in
your answer sheet.
1. Patrick has 1 13 cake. He shared 23 of it with his sister and gave the remaining
cake to his mother. What fraction of the cake did he give to his mother?
A. 13
B. 23
C. 33
D. 43
2. What is the result of multiplying 12 by 34 ?
A. 18
B. 28
C. 38
D. 48
3. A fruit salad recipe calls for 2 34 cups of sugar. How much sugar should you use if
you only make half of the recipe?
A. 1 18
B. 1 28
C. 1 38
D. 1 48
4. Yuan harvested 24 34 kilos of mangoes. He divided these mangoes into 34 kilos
per pack. How many packs did he make in total?
A. 32
B. 33
C. 34
D. 35
5. Mayumi went to the canteen during their recess, she spent P24.85 for a sandwich
and P11.20 for the juice. How much is her change if she gave P100.00 to the
cashier?
A. P63.05
B. P63.95
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C. P73.05
D. P36.05
6. The retail price of rice costs ₱41.25 per kilo. How much will you pay for 45.25 kilos?
What is the number sentence to be used in solving the problem?
A. 45.25 + P41.25 = N
B. 45.25 - P41.25 = N
C. 45.25 x P41.25 = N
D. 45.25 ÷ P41.25 = N
7. A beach house rents for P1999.95 a day. How much will the Santosa Family pay if
they stayed for 3 days?
A. P5,978.85
B. P5,987.85
C. P4,978.85
D. P4,978.85
For items 8-9, read and analyze the problem below, then solve.
Andrei bought the following fruits from the local fruit stand near his home. How
much did he pay in total?
Fruits
Price Per Piece
12 pcs of Apples
₱20.50
10 pcs of Oranges
₱19.25
8. What is the number sentence to be used in solving the problem?
A. (12 x ₱20.50) ÷ (10 x ₱19.25) = N
B. (12 x ₱20.50) x (10 x ₱19.25) = N
C. (12 x ₱20.50) - (10 x ₱19.25) = N
D. (12 x ₱20.50) + (10 x ₱19.25) = N
9. What is the final answer?
A. ₱338.50
B. ₱438.50
C. ₱538.50
D. ₱638.50
10. If 36 is divided by 2.25, what will be the quotient?
A. 13
B. 14
C. 15
D. 16
11. If you divide 44.75 by 10, what will be the answer?
A. 0.4475
B. 4.475
C. 44.75
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Telephone Number: (045) 598-8580 to 89 Email Address: region3@deped.gov .ph
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D. 447.5
12. Joan would like to donate her savings to charity. Her total savings is ₱12,750.75
to be equally divided among 3 charitable institutions of her choice. How much will
her donation be for each institution?
A. ₱1,250.25
B. ₱2,250.25
C. ₱3,250.25
D. ₱4,250.25
13. A non-government organization started a two-day fund-raising activity for the
recent flood victims in Pampanga. All donations will be equally distributed among
2 isolated barangays, less expenses. The total cash donations received and
expenses are as follow:
Cash Donations - Day 1
₱2,475.25
Cash Donations - Day 2
₱4,217.25
Less:
Miscellaneous Expenses
-
₱450.50
How much will each barangay receive as donations?
A. ₱1,121.00
B. ₱2,121.00
C. ₱3,121.00
D. ₱4.121.00
14. There are 10 boys and 12 girls in a classroom. Compare the number of boys to
the total number of pupils.
A. 10:12
B. 10:22
C. 12:10
D. 12:22
15. An athlete runs a total distance of 24 km in 2 hours. How far can he run in 6 hours
at the same speed?
A. 12 km
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B. 24 km
C. 36 km
D. 72 km
16. According to the latest survey, 15% of the total residents in the village are not yet
vaccinated. If there are 45 non-vaccinated residents, what is the total population
in the village?
A. 100
B. 200
C. 300
D. 400
17. One hundred twenty-five is how many percent of 500?
A. 25%
B. 30%
C. 35%
D. 40%
18. A shirt has an original price of ₱450.00 in a local store with a sales discount of
15%. How much will be its sale price?
A. ₱392.50
B. ₱382.50
C. ₱372.50
D. ₱362.50
19. Tony bought a laptop worth ₱22,500 after getting a sales discount. How many
percent of sales discount did he get if the original price is ₱25,000?
A. 5%
B. 10%
C. 15%
D. 20
20. The exponential notation 47, which number is the exponent?
A. 4
B. 5
C. 6
D. 7
21. Evaluate the given expression: [5 x (54 ÷ 6 -3)] + 6 x 2
A. 32
B. 42
C. 75
D. 215
22. Evaluate the given expression: (17 – 6 ÷ 2 ) + 4 x 3
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A. 12
B. 16
C. 26
D. 56
23. Which integer represents moving two steps forward?
A. -2
B. -1
C. +1
D. +2
24. Which of the following sets of integers is arranged in ascending order?
A. -8, -3, -2, +2, +4, +7
B. +7, -3, -2, +2, +4, -8
C. -8, -2 -3, +2, +4, +7
D. -8, -3, -2, +7, +4, +2
25. Solve: 9+( – 5) + 4+( – 2) +( – 7)= N
A. -1
B. -2
C. 1
D. 2
26. A monkey sits on a tree that is 4 meters high above the ground. It climbs 1 meter
then swings 2 meters down. How high is the monkey from the ground?
A. 4 meters high
B. 3 meters high
C. 2 meters high
D. 1 meter high
27. What is the primary characteristic that distinguishes solid figures from plane
figures?
A. Plane figures have volume
B. Plane figures are three-dimensional
C. Solid figures have only length and width
D. Solid figures have length, width, and height.
28. If you were to slice a rectangular pyramid horizontally, parallel to its base, which
shape would the cross-section be?
A. Circle
B. Rectangle
C. Trapezoid
D. Triangle
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29. What is the rule for finding the nth term in the sequence: 3,5,7,9,11…?
A. 2n + 1
B. 2n – 1
C. 5n - 3
D. 5n + 3
30. Express “the product of x and the sum of y and z” algebraically.
A. x (y + z)
B. x + y + z
C. xy + xz + y
D. xy – xz + xy
31. A pizza costs ₱170.00 and an additional ₱10.00 per toppings. If x represents the
number of toppings and C for the total cost, what is the algebraic equation that
will solve for the total cost of a pizza with x number of toppings?
A. P170 + P10X = C
B. P10 + P170X = C
C. X + P170 + 10X =C
D. P170 + X = C
32. What is the formula for calculating speed?
A. Speed = time minus distance
B. Speed = time divided by distance
C. Speed = distance divided by time
D. Speed = distance multiplied by time
33. Angelo walks at a speed of 7 km per hour. How long will it take him to walk a
distance of 35 km?
A. 2 hrs
B. 3 hrs
C. 4 hrs
D. 5 hrs
34. For a composite figure made up of a square and a semicircle, what formula would
you use to calculate its total area?
A. Area of square + Area of semicircle
B. Area of square - Area of semicircle
C. Area of square x Area of semicircle
D. Area of square ÷ Area of semicircle
35. Calculate the total area of this composite figure
having one triangle and one rectangle.
A. 404 cm²
B. 504 cm²
C. 604 cm²
D. 704 cm²
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36. It is the unit of measurement used in finding the surface area of solid figures.
A. Cubic units
B. Square Units
C. Both A and B
D. Neither A nor B
37. What solid figure uses the formula SA = 4 π r2 to determine its surface area?
A. cone
B. cube
C. pyramid
D. sphere
38. A cylindrical tank has a radius of 2 m and a height of 8 m. What is its surface area?
Note: Use π = 3.14
A. 125.60 m2
B. 225.60 m2
C. 325.60 m2
D. 425.60 m2
39. When a prism and a pyramid have the same base and height, which of the
statements below is correct?
A. The volume of the pyramid is 4/3 of the volume of the prism.
B. The volume of the pyramid is 2/3 of the volume of the prism.
C. The volume of the pyramid is 1/3 of the volume of the prism.
D. The volume of the pyramid is 1/2 of the volume of the prism.
40. A cylinder and a cone have the same radius and height. How will you compare the
volume of the cone to the volume of the cylinder?
A. The volume of the cone is two-thirds the volume of the cylinder.
B. The volume of the cone is four-thirds the volume of the cylinder.
C. The volume of the cone is one-third the volume of the cylinder.
D. The relationship between the volumes of the cylinder and cone cannot be
determined.
41. The formula V = 13 (Area of the base x height) is used to find the volume of which
solid figure?
A. cone
B. cylinder
C. pyramid
D. sphere
42. A cone has a radius of 6 cm and a height of 18 cm. Find its volume. Use π = 3.14
A. 378.24cm3
B. 478.24cm3
C. 578.24cm3
D. 678.24cm3
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Telephone Number: (045) 598-8580 to 89 Email Address: region3@deped.gov .ph
Website: https://region3.deped.gov.ph/
43. Patrick’s electric meter reading this month is 4645 kwh. Upon checking his
electric bill, it shows that he has consumed 350 kwh this month. What was his
previous month’s electric meter reading?
A. 2320 kwh
B. 3170 kwh
C. 4295 kwh
D. 4995 kwh
44. Mrs. Lim’s water bill statement this month shows that her previous meter reading
was 4.157 m3. If she consumed 3500 liters of water this month, what should be
the present month’s meter reading?
A. 0.7657 m3
B. 7.675 m3
C. 76.57 m3
D. 765.7 m3
45. A survey asked participants about their favorite leisure activities. Which activities
combined make up the majority of the pie graph?
A. Watching TV, Playing Sports and Reading
B. Reading, Gardening and listening to music
C. Playing Sports, Watching TV and listening to
music
D. Listening to music, Gardening, Playing sports,
and watching TV
Address: Matalino St. D.M. Government Center, Maimpis, City of San Fernando (P)
Telephone Number: (045) 598-8580 to 89 Email Address: region3@deped.gov .ph
Website: https://region3.deped.gov.ph/
46. Joey’s monthly allowance is ₱10,000.00
This pie chart shows that he spends
44% on food
28% on room rent
17% on transportation
11% on miscellaneous expenses.
How much is his food expenses?
A. ₱1,100.00
B. ₱1,700.00
C. ₱2,800.00
D. ₱4,400.00
47. What is the probability of getting an even number in a single toe of die?
A.
14
B.
12
C.
23
D.
34
48. There are two different types of side dishes being offered to customers in a
restaurant in their beef and chicken meals. These are their list of side dishes:
Meals
Side Dishes
Beef
French Fries
Chicken
Coleslaw
Mashed Potatoes
How many possible outcomes or combinations can their customer choose from the
above list?
A. 3
B. 6
C. 9
D. 12
49. If you flip a coin and it lands heads up, what is the probability of getting at least
one head?
A. 0%
B. 25%
C. 50%
D. 75%
Address: Matalino St. D.M. Government Center, Maimpis, City of San Fernando (P)
Telephone Number: (045) 598-8580 to 89 Email Address: region3@deped.gov .ph
Website: https://region3.deped.gov.ph/
50. A bag contains 12 blue marbles, 8 red marbles and 4 orange marbles. Find the
theoretical probability of getting the red marbles.
A. 1224
B. 824
C. 424
D. 12
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Address: Matalino St. D.M. Government Center, Maimpis, City of San Fernando (P)
Telephone Number: (045) 598-8580 to 89 Email Address: region3@deped.gov .ph
Website: https://region3.deped.gov.ph/