If Sofia wants to determine the factors of 27x²y–48y³, which factoring method is/are appropriate to use?

C. Common Monomial Factor and Difference of Two Squares

B. Perfect Square Trinomial and Quadratic Trinomial

D. Common Monomial Factor, Difference of Two Squares, and Perfect Square Trinomial

Lorenzo was asked to find the dimensions of a rectangular playpen with an area of $$49x^2 - 36$$ sq. units. He answered $$(7x - 6) by (7x - 6)$$ units. Is he correct?

B. No, because $$(7x - 6)(7x - 6)$$ = $$49x^2 - 84x + 36$$ .

A. Yes, because $$(7x - 6)(7x - 6)$$ = 49x 2 - 36.

C. Yes, because the area of a rectangle is the difference of two squares.

D. No, because the dimensions of the rectangular playpen cannot be determined.

A student solved the problem $$(x + 5)^2 = x^2 + 25$$ . As part of a group activity, you're asked to evaluate the student's solution. Which of the following best describes the correctness of the student's answer?

D. The student forgot to include the middle term; the correct expansion is x 2 + 10x + 25.

A. The solution is correct; squaring a binomial means squaring both terms.

B. The student should have factored the expression instead of expanding it.

C. The solution is acceptable if the problem only asked for the first and last terms.

Which of the following statements best describes the Cartesian Coordinate Plane?

D. It is a plane divided into four quadrants by two perpendicular number lines called the x-axis and y-axis

A. It is a number line used only for positive integers.

B. It is a flat surface used to plot numbers only on a single horizontal line.

C. It is a figure that shows only the relationship between fractions and decimals.

The school principal is deciding where to place a new flagpole. Two possible locations are being considered: - Site A (3, 5), near the library -Site B (9, -1), near the gymnasium - The main office is at L (6,3). Using the distance formula, which site is closer to the main office?

B. Site A, because the distance AL = √13 units.

A. Site A, because the distance AL = 5 units.

C. Site B, because the distance BL = √13 units.

D. Both sites are equidistant from the main office.

Three pyramids have different polygonal bases (triangle, square, hexagon), but all have the same height and the same base area of 24 cm². Which of the following statements is TRUE about their volumes?

A. All three pyramids have the same volume.

B. The pyramid with the triangular base has the smallest volume.

C. The pyramid with the hexagonal base has the greatest volume.

D. The pyramid with the square base has a volume between the other two.

Two pyramids have the same height of 12 cm. -Pyramid A has a triangular base with an area 24 cm². -Pyramid B has a rectangular base with dimensions 5 cm × 4 cm. Which pyramid has the greater volume, and by how much?

A. Pyramid A, greater by 16 cm³

B. Pyramid B, greater by 16 cm³

C. Pyramid A, greater by 12 cm³

D. Pyramid B, greater by 12 cm³

A group of students experimented by comparing the volumes of a sphere and a cylinder with the same radius and a height equal to the sphere’s diameter. After filling and measuring, they observed that the sphere seemed to take up about two-thirds of the cylinder’s capacity. Which conclusion BEST explains their result?

D. The sphere’s volume is less than the cylinder’s, about two-thirds of it, which supports the experimental result.

A. The sphere’s volume is about half of the cylinder’s because the sphere is more curved.

B. The sphere and the cylinder must have the same volume since they share the same radius.

C. The sphere’s volume is smaller than the cylinder’s, but the experiment is unreliable for proving this.

A company is designing two containers using the same material. • Container A is a cone with a radius 6 cm and height 12 cm. • Container B is a sphere with a radius 6 cm. If both containers are completely filled, which container holds more, and by how much?

D. The sphere, greater by 144π cm³

A. The cone, greater by 72π cm³

B. The cone, greater by 144π cm³

C. The sphere, greater by 72π cm³

A teacher told the class: “If a triangle has sides 8 cm, 15 cm, and 17 cm, then it must be a right triangle.” Which of the following BEST evaluates the teacher’s statement?

A. The teacher is correct; the triangle is right because 8²+15²=17²

B. The teacher is incorrect; the triangle is acute since all sides are different.

C. The teacher is incorrect; the triangle cannot be classified based on side lengths.

D. The teacher is correct; the triangle is equilateral since the sides are whole numbers.

Triangle P has sides 8 cm, 15 cm, and 17 cm, while Triangle Q has sides 10 cm, 12 cm, and 15 cm. Based on the side lengths, which statement BEST describes the types of triangles?

C. Triangle P is right, Triangle Q is acute

D. Triangle P is obtuse, Triangle Q is right

Two students are designing triangular wooden shelves: • Shelf A: sides 6 cm, 9 cm, 14 cm • Shelf B: sides 7 cm, 10 cm, 12 cm Which statement is TRUE?

A. Both Shelf A and Shelf B can form triangles.

B. Neither Shelf A nor Shelf B can form a triangle.

C. Shelf A can form a triangle, but Shelf B cannot.

D. Shelf B can form a triangle, but Shelf A cannot.

Dina walks directly from the camp to the river, a distance of 8 km. Lito takes a path from the camp to a tree (6 km) and then from the tree to the river (5 km). Whose path is longer, and can their paths form a triangle with the camp, tree, and river as vertices?

A. Lito’s path is longer; yes, they form a triangle.

B. Dina’s path is longer; yes, they form a triangle.

C. Dina’s path is shorter; yes, they form a triangle.

D. Lito’s path is longer; no, they cannot form a triangle.

You are given two triangles that look almost the same, but their included angles are different: • Triangle ABC has sides AB = 9 cm and AC = 11 cm, with an included angle ∠A = 65°. • Triangle DEF has sides DE = 9 cm and DF = 11 cm, with an included angle ∠D = 75°. Which statement is TRUE?

C. Side BC is shorter than side EF.

B. Side BC is longer than side EF.

D. The lengths cannot be compared.

Two Grade 8 students tried small businesses: • Missy Babe spent ₱1,500 to make 50 keychains. He sold each for ₱40. • Gabby spent ₱2,000 to bake 100 cupcakes. She sold each for ₱25. Who made a better financial decision, and why?

C. Miss Babe, because her profit per item and total profit were greater.

A. Gabby, because even if she spent more, she sold more items.

B. Miss Babe, because she earned a higher total sales than Liza.

D. Gabby, because her expenses were higher, which means her business is bigger.

The Santos family is choosing between two rice brands: Based on the table, which brand offers the better value in terms of cost?

A. Brand A, because it costs ₱50 per kg.

B. Brand B, because it costs ₱50 per kg.

C. Brand A, because it costs ₱52.50 per kg.

D. Brand B, because it costs ₱52.50 per kg.

REGIONAL MID-YEAR ASSESSMENT IN MATHEMATICS 8

Authored by Marisol Pascua

Mathematics

8th Grade

Used 1+ times

REGIONAL MID-YEAR ASSESSMENT IN MATHEMATICS 8

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50 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the formula for calculating the mean (x̄) of a set of ungrouped data?

A. The sum of all values divided by 2

B. The sum of all values less the total number of values

C. The sum of all values divided by the total number of values

D. The total number of values divided by the sum of all values

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The scores of 10 students in the Math quiz are as follows: 12, 18, 15, 13, 20, 17, 20, 19, 15, 15. What is the median of the data?

A. 15

B. 16

C. 17

D. 20

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What can be concluded about the performance of the two classes based on these measures?

A. No conclusions can be drawn without more information.

B. Both classes performed equally well because the measures are similar.

C. Class A performed better than Class B because its median is closer to the mode.

D. Class B performed better than Class A because their mean and median are higher.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Christabel has been saving money for a new bag and has already saved Php 150. She plans to save Php 10 each week from her allowance. Which of the following expressions represents the total amount of money Christabel will have after x weeks?

A. x+10

B. 10+150x

C. 150+10x

D. x+10+150

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the rule in adding or subtracting simple monomials like 9x³ and 12x³?

A. Multiply the coefficients and add the exponents.

B. Divide the coefficients and subtract the exponents.

C. Add or subtract the coefficient and multiply the exponents.

D. Add or subtract the coefficients and keep the same variables with the same exponents.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A bookshelf has initially 10x books. After adding 17x books and removing 8x books, how many books are left? Simplify your answer.

A. x

B. 15x

C. 19x

D. 35x

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following correctly represents the product of the monomials 3a² and 4a³?

A. (3)(4)+(a²)(a³) = 12 + a²⁺³ = 12 + a⁵

B. (3)(4)(a²)(a³) = (12) a²⁺³ = 12a⁵

C. (3+4)(a²)(a³) = (7) a²⁺³ = 7a⁵

D. (3+4)(a²)(a³) = (7) a²^·³ = 7a⁶

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REGIONAL MID-YEAR ASSESSMENT IN MATHEMATICS 8

What is the formula for calculating the mean (x̄) of a set of ungrouped data?

The scores of 10 students in the Math quiz are as follows: 12, 18, 15, 13, 20, 17, 20, 19, 15, 15. What is the median of the data?

What can be concluded about the performance of the two classes based on these measures?

Christabel has been saving money for a new bag and has already saved Php 150. She plans to save Php 10 each week from her allowance. Which of the following expressions represents the total amount of money Christabel will have after x weeks?

What is the rule in adding or subtracting simple monomials like 9x³ and 12x³?

A bookshelf has initially 10x books. After adding 17x books and removing 8x books, how many books are left? Simplify your answer.

Which of the following correctly represents the product of the monomials 3a² and 4a³?

A rectangular garden has a length of 3x+2 meters and a width of x+1 meters. Which of the following is the correct expression for the area of the garden?

A rectangular garden has a length of 3x+2 meters and a width of x+1 meters. If x=5, find the area of the rectangular garden.

What special product is formed when (5m+2n) is multiplied by (5m+2n)?

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