Republic of the Philippines

Department of Education
CORDILLERA ADMINISTRATIVE REGION
Wangal, La Trinidad, Benguet

PROJECT SMART (Standardized and Meaningful Assessment Result-Based Teaching)

Third Quarter Test in Mathematics 6
General Directions:

a. This is a 40-item multiple choice type of test covering the learning competencies tackled
during the quarter. Go over these items first before answering.
b. Select the best answer from the given options. Write the letter of your choice on the answer
sheet provided.
c. Do not write anything on this paper.

1. Which among the figures shows a rectangular prism?

A.

B.

C.

D.

2. Which of the following objects is a sphere?

A. C.

B. D.

3. Which of the following objects represents a pyramid?

A. C.

B. D.
4. Which of the following statements best describes a cube?
A. It has six square faces.
B. It has a circular base and one vertex.
C. It has two circular bases and with no edge.
D. Its base is a polygon and its lateral faces are triangles.

5. Which of the following is true about a pyramid?

A. It has a circular base and one vertex.
B. It has two circular bases and a curved surface.
C. Its base is a circle and its lateral faces are squares.
D. Its lateral faces are triangle and its base is a polygon.

6. Which of the following statements describes a cylinder?

A. It has six square faces.
B. It has a circular base and one vertex.
C. It has two circular bases and a curved surface.
D. Its base is a polygon and its lateral faces are quadrilaterals.

7. All of the following is true about the difference of a plane figure and a solid figure EXCEPT ONE.
Which is it?
A. A square is a plane figure while a cube is a solid figure.
B. A plane figure has a flat surface while a solid figure has curved surfaces.
C. A plane figure has length and width while a solid figure has length, width and height.
D. A plane figure is a two-dimensional figure while a solid figure is a three-dimensional figure.

8. Which is true about the difference of a plane figure and a solid figure?
A. A cube is a plane figure while a sphere is a solid figure.
B. A plane figure has two bases while solid figure has only one base.
C. A plane figure has a flat surface while a solid figure has a curved surface.
D. A plane figure has length and width while a solid figure has length, width, and height.

Figure 1

9. Shown in Figure 1 is a solid figure. What is pointed by the arrow?

A. edge
B. face
C. net
D. vertex

10. Which of the following solid figures has four faces?

A.

B.

C.
 D.

11. What is the rule to find the nth term in the sequence: 3, 4, 5, 6, . . . ?
A. n + 1
B. n + 2
C. n + 3
D. n + 4

12. What is the rule in finding the nth term of 6, 12, 18, …?
A. 6 + n
B. 6 - n
C. 6n
6
D. 𝑛

13. If you formulate the rule in finding the nth term of the sequence 6,11,16, 21 …, what would it be?
A. n + 5
B. 5n + 1
C. 5n – 1
D. 6n – 1

14. Which best differentiates an expression from an equation?

A. An expression has no equal sign while an equation has an equal sign.
B. An expression is made up of one expression while an equation is made up of two expressions.
C. An expression has constants and variables while an equation has constants and operation
signs.
D. An expression can be a number, a variable, or a combination of numbers and variables and
operation symbols while an equation is made up of two expressions connected by an equal sign.

15. All of the following are expressions EXCEPT ONE. Which is it?
A. 1
B. x – 1
C. 2y + 1
D. 2z = 1

16. Which of the following is the correct translation of the phrase “Your age in six years”?
A. n + 6
B. n - 6
C. 6n
D. 6 ÷ n

17. Maria weighed k kilograms. How will you express algebraically her weight after losing 3.5
kilograms?
A. k + 3.5
B. k – 3.5
C. 3.5k
D. k ÷ 3.5

18. How will you define a variable in a given algebraic expression or equation?
A. It is the constant in the expression or equation.
B. It is the unknown number in the expression or equation.
C. It is the operation sign used in the expression or equation.
D. It is a letter or symbol used to represent an unknown number.
 𝟏𝟐 𝟏
19. In the expression + 𝟐, what variable is used?
𝒙
A. +
B. x
C. 12
1
D. 2

20. Fe bought p papaya for ₱25 each and s soursop for ₱35 each. Which expression represents the
amount of change the cashier should give to Fe if she gives the cashier a ₱500 bill?
A. 500 – (25p + 35s)
B. 500 – (25s + 35p)
C. 500 + (25p + 35s)
D. 500 + (25s + 35p)

21. Nora is 60 years old. She is four years older than twice the age of her youngest child. Which
equation best represents the relationship of their ages?
A. 2n + 4 = 60
B. 2n - 4 = 60
C. n + 4 x 2 = 60
D. 2 ÷ n + 4 = 60

22. Cora is 60 years old. She is four years older than twice the age of her youngest child. How old is
Cora’s youngest child?
A. 20 years
B. 24 years
C. 28 years
D. 32 years

23. Teresa saved ₱ 200.00 this week from her allowance. This amount is ₱ 40.00 less than thrice the
amount she saved last week. How much did she save last week?
A. ₱ 50.00
B. ₱ 80.00
C. ₱ 120.00
D. ₱ 160.00

24. A cheetah runs at a speed of 72 miles per hour for 30 minutes. How far did it travel?
A. 24 miles
B. 36 miles
C. 72 miles
D. 144 miles

25. How much time will it take for a mosquito to travel five meters across the room if it is travelling at
0.5 m/s?
A. 1 second
B. 2.5 seconds
C. 10 seconds
D. 20 seconds

26. A bus left Manila at 11 pm and arrived at Baguio at four am the next day. The distance between
Manila and Baguio is 245 km. What is the average speed of the bus?
A. 47 kph
B. 49 kph
C. 51 kph
D. 53 kph
27. Elena can type 860 words in 20 minutes. What is her typing speed?
A. 42 wpm
B. 43 wpm
C. 44 wpm
D. 45 wpm

28. Figure 3 is formed by a triangle and a rectangle. What is the area of the figure?

A. 20 in2
B. 32 in2
C. 48 in2
D. 64 in2

29. What is the area of the shaded region in Figure 4?

A. 33.76 cm2
B. 37.14 cm2
C. 50.24 cm2 Figure 4
D. 84.00 cm2

30. What is the area of the shaded region shown in Figure 5? (1 grid = 1 unit)

A. 3.14 sq. units

B. 6.86 sq. units Figure 5
C. 10.00 sq. units
D. 20.00 sq. units

31. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, leaving a margin

of 3 cm around. What is the area of the cardboard?
A. 40 cm2
B. 49 cm2
C. 120 cm2
D. 160 cm2

32. Which of the following nets shows the surface area of a triangular prism?

A. C.

B. D.
33. Which among the phrases best describes the surface area of rectangular pyramid?
A. area of three pairs of congruent rectangles
B. area of a rectangle and area of four congruent triangles
C. area of two congruent squares and four congruent rectangles
D. area of a rectangle and area of two pairs of congruent triangles
34. All of the following statements about solid figures are correct EXCEPT ONE. Which is it?
A. A cube has exactly six squares faces.
B. A sphere has exactly four circular faces.
C. A pyramid is composed of a polygonal base and at least three triangular lateral faces.
D. A prism is composed of two congruent polygonal bases and at least three rectangular lateral
faces.
35. What is the unit of measurement used for measuring the surface area of space figures?
A. liters
B. meters
C. cubic units
D. square units

36. What is the surface area of the solid figure in Figure 6?

A. 26 cm2
B. 193 cm2 Figure 6
C. 386 cm2
D. 420 cm2

37. The base area of a square pyramid is nine square inches. If it is five inches high, what is its
surface area?
A. 29 in2
B. 30 in2
C. 39 in2
D. 45 in2
38. A cone whose radius of two centimeter has a slant height of four centimeter. What is its surface
area?
A. 12.56 cm2
B. 15.14 cm2
C. 25.12 cm2
D. 37.68 cm2
39. Each edge of a wooden cube measures six units. If the top is open, how many square units was
used to make the wooden cube?
A. 36 sq. units
B. 144 sq. units
C. 180 sq. units
D. 216 sq. units
40. The radius of a basketball ball is 4.89 decimeter. How much rubber sheet was used to form the
ball?
A. 61.42 dm2
B. 95.65 dm2
C. 300.34 dm2
D. 1201. 34 dm2
****End of Test****