Question 1

Whatdo you call the horizontal number line in the Cartesian plane?

Accepted Answer

x-axis

Answer

y-axis

Answer

quadrant

Answer

origin

Question 2

The point ( 5,-2) is located in which quadrant of the Cartesian coordinate plane?

Accepted Answer

Quadrant IV

Answer

Quadrant II

Answer

Quadrant III

Answer

Quadrant I

Question 3

What are the coordinates of the origin on a Cartesian plane?

Accepted Answer

(0&#44;0)

Answer

(1&#44;0)

Answer

(0&#44;1)

Answer

(1&#44;1)

Question 4

Refer to the figure. What are the coordinates of C?

Accepted Answer

(-1&#44;-2)

Answer

(1&#44;2)

Answer

(-2&#44;-1)

Answer

(1&#44;-2)

Question 5

Refer to the figure. Which point has coordinates (-2,3)?

Accepted Answer

Point A

Answer

PointD

Answer

Point C

Answer

Point B

Question 6

If you move 5 units to the left from the point (3,4), what will be the new coordinates?

Accepted Answer

(-2&#44;4)

Answer

(8&#44;4)

Answer

(5&#44;4)

Answer

(-1&#44;4)

Question 7

Which of the following equation describes the distance formula?

Accepted Answer

https://uploads.quizalize.com/2407ba03-4d0b-48e4-83ff-426cd694c08c/question/9e9b5433fc9dcb4ac8066351f5d970abc887b08a.png

Answer

https://uploads.quizalize.com/2407ba03-4d0b-48e4-83ff-426cd694c08c/question/31eee97bb92cfbec6f1df754a745f26514a6f5e3.png

Answer

https://uploads.quizalize.com/2407ba03-4d0b-48e4-83ff-426cd694c08c/question/36cee5ca8083713814141d610aa3fe3d02b736b2.png

Answer

https://uploads.quizalize.com/2407ba03-4d0b-48e4-83ff-426cd694c08c/question/ed438dce71ce12ecd68d9b9a4706481cf1904d9e.png

Question 8

Both points D and U are on the fourth quadrant. If the distance between point D and U is 3 units and D is at (2,-1), which of the following are the coordinates of point U?

Accepted Answer

(2&#44;- 4)

Answer

(4&#44;-1)

Answer

(5&#44; 1)

Answer

(2&#44;-5)

Question 9

A city park is placed at (4,4). If the mayor wants to place a new monumental halfway between the park and a fountain located at (6,8), where will the monument be located?

Accepted Answer

(5&#44;6)

Answer

(2&#44; 4)

Answer

(3&#44;5)

Answer

(6&#44;7)

Question 10

The coordinates of the midpoint of a segment are (3, 6). If the coordinates of one endpoint are (-1,3), find the coordinates of the other endpoint.

Accepted Answer

(7&#44;9)

Answer

(5&#44;4)

Answer

(4&#44;5)

Answer

(6&#44;7)

Question 11

A triangular pyramid has a base area of 12 square meters and height of 10 meters. What is its volume?

Accepted Answer

40 cubic meters

Answer

60 cubic meters

Answer

120 cubic meters

Answer

240 cubic meters

Question 12

A student fills a triangular pyramid (tetrahedron) with sand and pours it into a triangular prism with thesame base and height. The prism is filled exactly after three pours. What can the student conclude?

Accepted Answer

The pyramid’s volume is one-third the prism’s volume.

Answer

The pyramid’s volume is equal to the prism’svolume.

Answer

The pyramid’s volume is half the prism’s volume.

Answer

The pyramid’s volume is twice the prism’svolume.

Question 13

A triangular pyramid and a hexagonal pyramid both have the same height of 12 cm.If the triangular pyramid’s base area is 18 cm² and the hexagonal pyramid’sbase area is 54 cm², which statement is true?

Accepted Answer

The hexagonal pyramid’svolume is three times greater.

Answer

The triangular pyramid’svolume is greater.

Answer

Both pyramids have equal volumes.

Answer

The hexagonal pyramid’s volume is double.

Question 14

In the formula for finding the volume of a pyramid, $V=\frac{1}{3}BH,$ what does B stand for?

Accepted Answer

Base area

Answer

Baseheight

Answer

Bottom edge length

Answer

Base perimeter

Question 15

A triangular pyramid has abase in the form of a triangle with base equal to 8cm and height of the triangle is 6cm. The height of the pyramid is 12cm. Find its volume.

Accepted Answer

96 cm3

Answer

85 cm3

Answer

110 cm3

Answer

120 cm3

Question 16

A pyramid has a base area of 30 m² and a height of 5 m. What is its volume?

Accepted Answer

50 m3

Answer

35 cm³

Answer

6 cm³

Answer

150 m3

Question 17

A pentagonal pyramid has a base perimeter of 30 cm, an apothem of 4 cm, and a height of 10 cm. Find itsvolume.

Accepted Answer

200 cm³

Answer

400cm³

Answer

150 cm³

Answer

300cm³

Question 18

A camping gear company makes a small tent model shaped like a triangular pyramid. Its triangular base has a base of 10 cm and a height of 8 cm. The height of thepyramid is 15 cm. Find the volume of the tent model.

Accepted Answer

200 cm³

Answer

250 cm³

Answer

350cm³

Answer

300cm³

Question 19

A farmer builds a grain storage pyramid with a base area of 30 ft² and a height of 10 ft.He says it can hold about 100 cubic feet of grain.Is he correct?

Accepted Answer

Yes, because the volume is exactly 100 ft³

Answer

Yes, because the volume is 110 ft³

Answer

No, because the volume is 90 ft³

Answer

No, because the volume is 120 ft³

Question 20

A landscaper designs a flower mound shaped like a pyramid. Its square base is 8 ft on each side and the height is 6 ft. If 1 cubic foot of soil costs $2, how much will the soil costto fill it?

Accepted Answer

&#36;256

Answer

&#36;64

Answer

&#36;96

Answer

&#36;150

Question 21

What is the formula for the volume of a cone?

Accepted Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Question 22

Which of the following is the formula for the volume of a sphere?

Accepted Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Question 23

What is the relationship between the volume of the sphere and the volume of a cone with the same radius and height ?

Accepted Answer

The volume of the sphere is four times the volume of the cone.

Answer

The volume of the sphere is times the volume of the cone.

Answer

The volume of the sphere is half the volume of the cone.

Answer

The volume of the sphere is equal to the volumeof the cone.

Question 24

A cone has a radius of 5 cm and a height of 12 cm. A cylinder has the same radius of 5 cm and the same height of 12 cm. What is the relationship between the volume of the cone and the volume of the cylinder?

Accepted Answer

The volume of the cone is one-third the volume of the cylinder.

Answer

The volume of the cone is half the volume of the cylinder.

Answer

The volume of the cone is the same as the volumeof the cylinder.

Answer

The volume of the cone is three times the volume of the cylinder.

Question 25

A cone has a radius of 6 cm and a height of 10 cm. Find its volume. Use π = 3.14.

Accepted Answer

376.8 cm3

Answer

350.8 cm3

Answer

325.8cm3

Answer

400.8 cm3

Question 26

A sphere has a radius of 7 cm. Find its volume. (Use π=3.14)

Accepted Answer

1436.03 m³

Answer

1077.43 m³

Answer

732.24 m3

Answer

2058.49 m³

Question 27

Aminiature globe has a diameter of 10 cm. Find its volume in cubic centimeters.

Accepted Answer

523.6 cm3

Answer

261.8 cm3

Answer

52.4 cm3

Answer

1047.2 cm³

Question 28

The volume of a sphere is 904.32 m³. What is the radius of the sphere? Round off your answer to the nearest whole number?

Accepted Answer

6 meters

Answer

7 meters

Answer

5 meters

Answer

8 meters

Question 29

If the height of a cone is tripled while the radius remains the same, how does the volume change?

Accepted Answer

stays the same

Answer

tripled

Answer

doubled

Answer

quadrupled

Question 30

Which of the following is the formula for the Pythagorean Theorem?

Accepted Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Question 31

The side lengths of a triangle are 8 m, 10 m, and 12 m. What can we conclude aboutthis triangle?

Accepted Answer

It is an acute triangle.

Answer

It is a right triangle.

Answer

It is an obtuse triangle.

Answer

It is an isosceles triangle.

Question 32

A 10 m long ladder is leaning against a wall. The bottom of the ladder is 6 m from the base of where the wall meets the ground. At what height from the ground does the top of the ladderlean against the wall?

Accepted Answer

8 m

Answer

6 m

Answer

7 m

Answer

9 m

Question 33

Carlos flies his drone 5 feet above the ground. He rotates the drone to the right. So far, the drone has flown a total of 12 feet horizontal distance. How far is the drone from the start point?

Accepted Answer

13 ft

Answer

16ft

Answer

15 ft

Answer

14 ft

Question 34

Whichof the following is the Triangle Inequality Theorem?

Accepted Answer

The sum of the lengths of any two sides must be greater than the length of the third side.

Answer

The difference of the lengths of any two sides must be greater than the length of the third side.

Answer

The sum of the lengths of any two sides must be equal the length of the third side.

Answer

The sum of the lengths of any two sides must be less than the length of the third side.

Question 35

If a triangle has side lengths of 7 cm, 5 cm,and 12 cm, is this a valid triangle based on the Triangle Inequality Theorem?

Accepted Answer

No, because 7 + 5 = 12

Answer

No, because 5 + 12 > 7

Answer

Yes, because 7 + 12 > 5

Answer

Yes, because 7 + 5 > 12

Question 36

Which of the following sets of sides lengths will NOT form a triangle?

Accepted Answer

10 cm, 20 cm,30 cm

Answer

9 cm, 10 cm, 9 cm

Answer

7 cm, 14 cm, 18 cm

Answer

6 cm, 8 cm, 10 cm

Question 37

The measurement of the sides of Triangle ABC is given below. List the angles in increasing order.

Accepted Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Answer

$V=\frac{1}{3}\pi r^2h$

Question 38

Whatis the measure of the exterior angle (x)?

Accepted Answer

109º

Answer

64º

Answer

135º

Answer

100º

Question 39

A sales agent earns a fixed salary of ₱18,000 per month plus a 5% commission onsales. In April, he sold ₱120,000 worth of products. How much did he earn in April?

Accepted Answer

₱24&#44;000

Answer

₱26&#44;000

Answer

₱25&#44;000

Answer

₱22&#44;000

Question 40

Afarmer bought 50 kilos of tomatoes at ₱40 per kilo. He sold all of them at ₱55per kilo. What is his profit and profit percent?

Accepted Answer

Profit = ₱750, Profit Percent = 37.5%

Answer

Profit = ₱850, Profit Percent = 30.5%

Answer

Profit= ₱1,200, Profit Percent = 40%

Answer

Profit = ₱1,000, Profit Percent = 27.5%

Related quizzes

Related quizzes