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Fourth Quarter Reviewer in Mathematics 6

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

A standard die is a cube with sides measuring 10 millimeters. What is the volume of the die?

a)

30 cubic millimeters

b)

100 cubic millimeters

c)

1 000 cubic millimeters

d)

10 000 cubic millimeters

2.

The formula for determining the volume of a rectangular prism is ________.

a)

V=lwhV=lwh

b)

V=43πr3V=\frac{4}{3}\pi r^3

c)

V=13πr3V=\frac{1}{3}\pi r^3

d)

V=πr2hV=\pi r^2h

3.

A cube has a side length of 3 meters. What is its volume?

a)

6 cubic meters

b)

9 cubic meters

c)

27 cubic meters

d)

81 cubic meters

4.

What is the volume of a box with the dimensions 5 cm x 2 cm x 12 cm?

a)

19 cubic centimeters

b)

102 cubic centimeters

c)

120 cubic centimeters

d)

1 200 cubic centimeters

5.

A cuboid has the dimensions 4 m x 6 m x 4 m. What is its volume?

a)

 14  m314\ \ m^3 

b)

 69  m369\ \ m^3 

c)

 72  m372\ \ m^3 

d)

 96  m396\ \ m^3 

6.

What is the formula for the volume of a cone?

a)

V=13πr2hV=\frac{1}{3}\pi r^2h

b)

V=12bhlV=\frac{1}{2}bhl

c)

V=πr2hV=\pi r^2h

d)

V=43πr3V=\frac{4}{3}\pi r^3

7.

Which formula can be used to compute the volume of a cylindrical water barrel?

a)

V=lwhV=lwh

b)

V=43πr3V=\frac{4}{3}\pi r^3

c)

V=13πr2hV=\frac{1}{3}\pi r^2h

d)

V=πr2hV=\pi r^2h

8.

The formula for the volume of a sphere is __________.

a)

V=13πr2hV=\frac{1}{3}\pi r^2h

b)

V=πr2hV=\pi r^2h

c)

V=13lwhV=\frac{1}{3}lwh

d)

V=43πr3V=\frac{4}{3}\pi r^3

9.

What is the formula for calculating the volume of a pyramid with a rectangular base?

a)

V=13lwhV=\frac{1}{3}lwh

b)

V=13πr2hV=\frac{1}{3}\pi r^2h

c)

V=BhV=Bh

d)

V=43πr3V=\frac{4}{3}\pi r^3

10.

I want to compute the volume of the Rubik's Cube. Which formula should I use?

a)

V=12bhlV=\frac{1}{2}bhl

b)

V=13πr2hV=\frac{1}{3}\pi r^2h

c)

V=πr2hV=\pi r^2h

d)

V=s3V=s^3

11.

Andrei and Dinia wants to know the volume of a triangular tent. Which formula should they use?

a)

V=13πr2hV=\frac{1}{3}\pi r^2h

b)

V=13BhV=\frac{1}{3}Bh

c)

V=43πr3V=\frac{4}{3}\pi r^3

d)

V=12bhlV=\frac{1}{2}bhl

12.

Compute the volume of the Rubik's Cube.

a)

125 cu. cm.

b)

225 cu. cm.

c)

3 375 cu. cm.

d)

3 735 cu. cm.

13.

The volume of an ice cube in cubic centimeters is ________.

a)

56.25

b)

421.875

c)

562.5

d)

4 218.75

14.

A prism has a base area of B and a height of h. What is the formula for the volume of the prism?

a)

V=BhV=\frac{B}{h}

b)

V=13BhV=\frac{1}{3}Bh

c)

V=BhV=Bh

d)

V=12BhV=\frac{1}{2}Bh

15.

What fraction that compares the volume of the pyramid to the volume of the prism?

a)

16\frac{1}{6}

b)

13\frac{1}{3}

c)

12\frac{1}{2}

d)

43\frac{4}{3}

16.

The volume of a rectangular prism is 60 cubic centimeters. What is the volume of a rectangular pyramid with a congruent base and the same height?

a)

20 cm320\ \ \ cm^3

b)

30 cm330\ \ \ cm^3

c)

40 cm340\ \ \ cm^3

d)

120 cm3120\ \ \ cm^3

17.

If a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is _________________.

a)

one-third the volume of the cylinder

b)

one-half the volume of the cylinder

c)

two-thirds the volume of the cylinder

d)

four-thirds the volume of the cylinder

18.

The volume of a cylinder is 42 cubic meters. Find the volume of a cone with the same height and base diameter as a given cylinder.

a)

12 cubic meters

b)

14 cubic meters

c)

21 cubic meters

d)

84 cubic meters

19.

It is a basic unit for measuring volume.

a)

meters

b)

square unit

c)

cubic unit

d)

liter

20.

How many liters of water are in a cubic meter?

a)

100

b)

1 000

c)

10 000

d)

100 000

21.

Find the volume of the cylinder in cubic centimeters. Use 3.14 for  π\pi .

a)

12.56

b)

125.6

c)

256

d)

1 256

22.

How much water does the mug hold?

a)

1 570 cm3cm^3

b)

5000 cm3cm^3

c)

15 700 cm3cm^3

d)

62 800 cm3cm^3

23.

An ice cream cone has a radius of 3 dm and a height of 10 dm. What is its volume?

a)

28.26 dm3dm^3

b)

90 dm^3

c)

94.2 dm^3

d)

286.6 dm^3

24.

Find the volume of the cone. Write your answer in terms of  π\pi  .

a)

9 π cm3\pi\ cm^3  

b)

12 \pi\ cm^3  

c)

18 \pi\ cm^3  

d)

36 \pi\ cm^3  

25.

What is the volume of the triangular prism?

a)

16 cu. m.

b)

46.67 cu. m.

c)

70 cu. m.

d)

140 cu. m.

26.

Calculate the volume of the sphere. Round off your answer to the nearest tenths.

a)

84.8 cubic centimeters

b)

113 cubic centimeters

c)

339.1 cubic centimeters

d)

904.3 cubic centimeters

27.

The soccer ball has a radius of 5 dm. Find its volume to the nearest hundredths.

a)

130.83 dm3dm^3

b)

167.67 dm^3

c)

523.33 dm^3

d)

1 570 dm^3

28.

Find the volume of the rectangular pyramid.

a)

60 cm3cm^3

b)

120 cm^3

c)

180 cm^3

d)

360 cm^3

29.

Find the volume of a square pyramid that has a height of 12 and base edge length of 10.

a)

300 cubic units

b)

400 cubic units

c)

600 cubic units

d)

1 200 cubic units

30.

The volume of the box is 216 cubic decimeters. Find the length of each side of the box.

a)

3 dm

b)

4 dm

c)

6 dm

d)

8 dm

31.

A swimming pool is rectangular in shape. It is 15 meters long, 6 meters wide, and 5 meters deep. How much water does it hold in liters?

a)

150

b)

450

c)

45 000

d)

450 000

32.

If you spun the spinner 1 time, what is the probability it would land on an even number?

a)

25%

b)

50%

c)

75%

d)

100%

33.

If a die is rolled once, what is the probability of getting a number greater than 4?

a)

16\frac{1}{6}

b)

13\frac{1}{3}

c)

12\frac{1}{2}

d)

23\frac{2}{3}

34.

Find the probability of getting a head when a fair coin is tossed once.

a)

0

b)

12\frac{1}{2}

c)

25%

d)

1

35.

Here is a bag of different colored marbles. What is the probability of pulling out a red marble?

a)

14\frac{1}{4}

b)

310\frac{3}{10}

c)

25\frac{2}{5}

d)

920\frac{9}{20}

36.

If one letter is chosen at random from the word MATHEMATICS, what is the probability that the letter chosen will be an "A"?

a)

111\frac{1}{11}

b)

211\frac{2}{11}

c)

311\frac{3}{11}

d)

411\frac{4}{11}

37.

How many possible outcomes would there be if two dice were rolled once?

a)

6

b)

18

c)

24

d)

36

38.

If a marble is randomly chosen from this container, what is the probability of picking a black marble?

a)

unlikely

b)

likely

c)

impossible

d)

certain

39.

If you represent the given data by a circle graph, what is the degree measure of the sector representing the pupils that ride their bike?

a)

29o29^o

b)

54o54^o

c)

90o90^o

d)

180o180^o

40.

How many sectors would be formed if you represent the given data by a circle graph?

a)

3

b)

4

c)

5

d)

6

41.

The pie graph shows the top 5 favorite Filipino foods. Which food is the most popular in the Philippines?

a)

Menudo

b)

Adobo

c)

Nilagang Baboy

d)

Longganisa

42.

Vincent receives PHP 3 200.00 per month from his parent. The pie graph displays his monthly allocation. How much is allotted per month for food?

a)

PHP 320.00

b)

PHP 480.00

c)

PHP 640.00

d)

PHP 1 600.00

43.

Mikoy earned a good income during his summer vacation. The circle graph shows the money he earned by doing different jobs. What fraction of amount did he earn by doing yard work?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

13\frac{1}{3}

d)

12\frac{1}{2}

44.

An electric bill shows a previous reading of 2156 kWh and a present reading of 2268 kWh. How many kilowatt-hours were consumed?

a)

102

b)

111

c)

112

d)

222

45.

What is the electric meter reading as shown by the dials?

a)

3 061 kWh

b)

3 961 kWh

c)

4 061 kWh

d)

4 961 kWh

46.

The dials show the electric meter readings of a two-unit apartment. How much is the electric consumption?

a)

202 kWh

b)

302 kWh

c)

698 kWh

d)

708 kWh

47.

The dials show the electric meter readings of four houses. Which house has the highest electric meter reading?

a)

House A

b)

House B

c)

House C

d)

House D

48.

These meters show the water meter readings of four houses. Which house has the highest water consumption?

a)

House A

b)

House B

c)

House C

d)

House D

49.

The dials show the water meter readings of Mr. Cruz. How much is the water consumption?

a)

2 cubic meters

b)

10 cubic meters

c)

21 cubic meters

d)

210 cubic meters

50.

In the Philippines, water consumption is measured in _________.

a)

cubic unit

b)

cubic meter

c)

cubic foot

d)

liter