Math 10 C Measurement UnitName: ________________________ Class: ___________________ Date: __________

ID: A

1

Chapter Test

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1. Which imperial unit is most appropriate

for measuring the length of a hockey

rink?

a. Miles

b. Feet

c. Yards

d. Inches

2. A figure skating blade is 0.15 in. wide.

What is this width to the nearest

millimetre?

a. 5 mm

b. 4 mm

c. 3 mm

d. 6 mm

3. Convert 142 in. to yards, feet, and

inches.

a. 10 yd. 2 ft. 3 in.

b. 3 yd. 2 ft. 10 in.

c. 1 yd. 2 ft. 22 in.

d. 5 yd. 0 ft. 22 in.

4. A regular tetrahedron has base area

136.4 m2 and height 10.7 m. Determine

its volume to the nearest cubic metre.

a. 546 m3

b. 486 m3

c. 1459 m3

d. 2919 m3

5. Calculate the slant height, s, of this right

square pyramid to the nearest tenth of a

centimetre.

a. 11.9 cm

b. 6.1 cm

c. 12.1 cm

d. 16.6 cm

6. Mars approximates a sphere with radius

2100 mi. What is the approximate

volume of Mars?

a. 3.1 × 1011

mi.3

b. 3.9 × 1010

mi.3

c. 5.5 × 107 mi.3

d. 6.8 × 1011

mi.3

7. The circumference of a medicine ball is

24 in. Determine its surface area to the

nearest inch².

a. 733 square inches

b. 183 square inches

c. 88 square inches

d. 233 square inches

Name: ________________________

ID: A

2

8. Which referent could you use for 1 ft.?

a. The distance between Regina and Whitehorse

b. The diameter of a basketball

c. The height of your math teacher

d. The height of an ice hockey net

9. A right cylinder has a hemisphere

removed from the top. Determine the

volume of the object, to the nearest

cubic inch.

a. 1209 cubic inches

b. 1400 cubic inches

c. 643 cubic inches

d. 1463 cubic inches

Name: ________________________

ID: A

3

Math 10C Formula Sheet

10.

Conversion Table Right Triangles

Imperial to Imperial Imperial to SI (Metric)

12 inches (in) = 1 foot (ft) 2.54 cm = 1 in.

3 feet (ft) = 1 yard (rd)

1760 yards (yds) = 1 mile (mi) 1.6 km = 1 mi.

Pythagorean Theorem a 2+ b

2= c

2

Perimeter Trigonometry ratios

Square P = 4s sin ∠A =opposite

hypotenuse

Rectangle P = 2™ + 2w cos ∠A =adjacent

hypotenuse

Circle Circumference C = 2πr or C = πd tan ∠A =opposite

adjacent

Area Exponent Laws

Square A = s2 a

1

n= a

n

Rectangle A = bh a

m

n= a

mnor a

nÊ

Ë

ÁÁÁÁˆ

¯

˜̃̃˜

m

Parallelogram A = bh a−n

=1

an

, a ≠ 0

Triangle A =1

2bh a

m⋅ a

n= a

mn

Circle A = πr2 a

m÷ a

n= a

m − n, a ≠ 0

Surface Area amÊ

Ë

ÁÁÁÁˆ

¯

˜̃˜̃

n

= amn

Right Pyramid ab( )m= a

mb

m

SA =1

2s perimeter of baseÊËÁÁ ˆ

¯˜̃ + base area( )

a

b

Ê

Ë

ÁÁÁÁÁˆ

¯

˜̃˜̃̃

m

=a

m

bm

, b ≠ 0

Right Cylinder SA = 2πr2

+ 2πrh

Right Cone SA = πr2

+ πrs Coordinate Geometry

Sphere SA = 4πr2 Slope =

rise

runor Slope =

y2

− y1

x2

− x1

Volume Slope y-intercept form of a line:

Right Rectangular Prism V = ™wh y = mx + b

Right Rectangular Pyramid V =1

3™wh Slope point form of a line:

Name: ________________________

ID: A

4

Right Cylinder V = πr2h y − y1 = m x − x1

ÊËÁÁ ˆ

¯˜̃

Right Cone V =1

3πr

2h General form of a line:

Sphere V =4

3πr

3 Ax + By + C = 0

Short Answer

11. Measure the length of the rectangle

using the inch ruler shown.

12. Convert 3 ft. 9 in. to inches.

13. A killer whale is 8.3 m long. Convert

this length to feet and the nearest inch.

.

14. A right cone has a slant height of 11 cm

and a base diameter of 19 cm. Determine

the volume of the cone to the nearest

square centimetre.

15. A regular tetrahedron has an edge length

of 9.0 m and a slant height of 7.8 m.

Calculate the surface area of the

tetrahedron to the nearest tenth of a

square metre.

.

Name: ________________________

ID: A

5

16. Determine the volume of the following

sphere to the nearest cubic inch.

17. The base of this cone is to be glued to

the circular face of the hemisphere.

Calculate the surface area of the

composite object formed, to the

nearest square inch.

Name: ________________________

ID: A

6

18. A solid sphere just fits inside a cube that

has an edge length equal to the diameter

of the sphere. The edge length of the

cube is 6.1 cm. What is the volume of

air in the cube to the nearest cubic

centimetre?

.

19. Multiple choice Answers:

1. �������

2. �������

3. �������

4. �������

5. �������

6. �������

7. �������

8. �������

9. �������

ID: A

1

Chapter Test

Answer Section

MULTIPLE CHOICE

1. C

2. B

3. B

4. B

5. C

6. B

7. B

8. B

9. B

OTHER

10. Math 10C Formulas

SHORT ANSWER

11. 15

16 inches

12. 45 in.

13. 27 ft. 3 in.

14. 524 cm3

15. 140.4 m2

16. 4189 cubic inches

17.

The surface area of the composite object is:19.1095… + 84.8230… − 3.1415… = 100.7909…

The surface area of the composite object is

approximately 101 square inches.

18. The volume of air in the cube is:226.981 − 118.8469. . . = 108.1340. . .The volume of air in the cube is approximately 108 cm3.

19. answers

Math 10 C Measurement UnitName: ________________________ Class: ___________________ Date: __________

ID: B

1

Chapter Test

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1. Which imperial unit is most appropriate

for measuring the length of a hockey

rink?

a. Miles

b. Feet

c. Yards

d. Inches

2. A figure skating blade is 0.15 in. wide.

What is this width to the nearest

millimetre?

a. 5 mm

b. 4 mm

c. 3 mm

d. 6 mm

3. Convert 121 in. to yards, feet, and

inches.

a. 1 yd. 1 ft. 3 in.

b. 3 yd. 1 ft. 1 in.

c. 1 yd. 2 ft. 1 in.

d. 5 yd. 0 ft. 1 in.

4. A regular tetrahedron has base area

136.4 m2 and height 8.7 m. Determine

its volume to the nearest cubic metre.

a. 546 m3

b. 396 m3

c. 1187 m3

d. 2373 m3

5. Calculate the slant height, s, of this right

square pyramid to the nearest tenth of a

centimetre.

a. 11.9 cm

b. 6.1 cm

c. 12.1 cm

d. 16.6 cm

6. Mars approximates a sphere with radius

2100 mi. What is the approximate

volume of Mars?

a. 3.1 × 1011

mi.3

b. 3.9 × 1010

mi.3

c. 5.5 × 107 mi.3

d. 6.8 × 1011

mi.3

7. The circumference of a medicine ball is

23 in. Determine its surface area to the

nearest inch².

a. 674 square inches

b. 168 square inches

c. 83 square inches

d. 205 square inches

Name: ________________________

ID: B

2

8. Which referent could you use for 1 ft.?

a. The distance between Regina and Whitehorse

b. The diameter of a basketball

c. The height of your math teacher

d. The height of an ice hockey net

9. A right cylinder has a hemisphere

removed from the top. Determine the

volume of the object, to the nearest

cubic inch.

a. 552 cubic inches

b. 641 cubic inches

c. 379 cubic inches

d. 654 cubic inches

Name: ________________________

ID: B

3

Math 10C Formula Sheet

10.

Conversion Table Right Triangles

Imperial to Imperial Imperial to SI (Metric)

12 inches (in) = 1 foot (ft) 2.54 cm = 1 in.

3 feet (ft) = 1 yard (rd)

1760 yards (yds) = 1 mile (mi) 1.6 km = 1 mi.

Pythagorean Theorem a 2+ b

2= c

2

Perimeter Trigonometry ratios

Square P = 4s sin ∠A =opposite

hypotenuse

Rectangle P = 2™ + 2w cos ∠A =adjacent

hypotenuse

Circle Circumference C = 2πr or C = πd tan ∠A =opposite

adjacent

Area Exponent Laws

Square A = s2 a

1

n= a

n

Rectangle A = bh a

m

n= a

mnor a

nÊ

Ë

ÁÁÁÁˆ

¯

˜̃̃˜

m

Parallelogram A = bh a−n

=1

an

, a ≠ 0

Triangle A =1

2bh a

m⋅ a

n= a

mn

Circle A = πr2 a

m÷ a

n= a

m − n, a ≠ 0

Surface Area amÊ

Ë

ÁÁÁÁˆ

¯

˜̃˜̃

n

= amn

Right Pyramid ab( )m= a

mb

m

SA =1

2s perimeter of baseÊËÁÁ ˆ

¯˜̃ + base area( )

a

b

Ê

Ë

ÁÁÁÁÁˆ

¯

˜̃˜̃̃

m

=a

m

bm

, b ≠ 0

Right Cylinder SA = 2πr2

+ 2πrh

Right Cone SA = πr2

+ πrs Coordinate Geometry

Sphere SA = 4πr2 Slope =

rise

runor Slope =

y2

− y1

x2

− x1

Volume Slope y-intercept form of a line:

Right Rectangular Prism V = ™wh y = mx + b

Right Rectangular Pyramid V =1

3™wh Slope point form of a line:

Name: ________________________

ID: B

4

Right Cylinder V = πr2h y − y1 = m x − x1

ÊËÁÁ ˆ

¯˜̃

Right Cone V =1

3πr

2h General form of a line:

Sphere V =4

3πr

3 Ax + By + C = 0

Short Answer

11. Measure the length of the rectangle

using the inch ruler shown.

12. Convert 4 ft. 9 in. to inches.

13. A killer whale is 8.8 m long. Convert

this length to feet and the nearest inch.

.

14. A right cone has a slant height of 11 cm

and a base diameter of 19 cm. Determine

the volume of the cone to the nearest

square centimetre.

15. A regular tetrahedron has an edge length

of 9.0 m and a slant height of 7.8 m.

Calculate the surface area of the

tetrahedron to the nearest tenth of a

square metre.

.

Name: ________________________

ID: B

5

16. Determine the volume of the following

sphere to the nearest cubic inch.

17. The base of this cone is to be glued to

the circular face of the hemisphere.

Calculate the surface area of the

composite object formed, to the

nearest square inch.

Name: ________________________

ID: B

6

18. A solid sphere just fits inside a cube that

has an edge length equal to the diameter

of the sphere. The edge length of the

cube is 5.1 cm. What is the volume of

air in the cube to the nearest cubic

centimetre?

.

19. Multiple choice Answers:

1. �������

2. �������

3. �������

4. �������

5. �������

6. �������

7. �������

8. �������

9. �������

ID: B

1

Chapter Test

Answer Section

MULTIPLE CHOICE

1. C

2. B

3. B

4. B

5. C

6. B

7. B

8. B

9. B

OTHER

10. Math 10C Formulas

SHORT ANSWER

11. 13

16 inches

12. 57 in.

13. 28 ft. 10 in.

14. 524 cm3

15. 140.4 m2

16. 2572 cubic inches

17.

The surface area of the composite object is:31.5726… + 84.8230… − 3.1415… = 113.2540…

The surface area of the composite object is

approximately 113 square inches.

18. The volume of air in the cube is:132.651 − 69.4559. . . = 63.1950. . .The volume of air in the cube is approximately 63 cm3.

19. answers

Math 10 C Measurement UnitName: ________________________ Class: ___________________ Date: __________

ID: C

1

Chapter Test

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1. Which imperial unit is most appropriate

for measuring the length of a hockey

rink?

a. Miles

b. Feet

c. Yards

d. Inches

2. A figure skating blade is 0.15 in. wide.

What is this width to the nearest

millimetre?

a. 5 mm

b. 4 mm

c. 3 mm

d. 6 mm

3. Convert 121 in. to yards, feet, and

inches.

a. 1 yd. 1 ft. 3 in.

b. 3 yd. 1 ft. 1 in.

c. 1 yd. 2 ft. 1 in.

d. 5 yd. 0 ft. 1 in.

4. A regular tetrahedron has base area

126.4 m2 and height 10.7 m. Determine

its volume to the nearest cubic metre.

a. 506 m3

b. 451 m3

c. 1352 m3

d. 2705 m3

5. Calculate the slant height, s, of this right

square pyramid to the nearest tenth of a

centimetre.

a. 11.9 cm

b. 6.1 cm

c. 12.1 cm

d. 16.6 cm

6. Mars approximates a sphere with radius

2075 mi. What is the approximate

volume of Mars?

a. 3.0 × 1011

mi.3

b. 3.7 × 1010

mi.3

c. 5.4 × 107 mi.3

d. 6.6 × 1011

mi.3

7. The circumference of a medicine ball is

26 in. Determine its surface area to the

nearest inch².

a. 861 square inches

b. 215 square inches

c. 100 square inches

d. 297 square inches

Name: ________________________

ID: C

2

8. Which referent could you use for 1 ft.?

a. The distance between Regina and Whitehorse

b. The diameter of a basketball

c. The height of your math teacher

d. The height of an ice hockey net

9. A right cylinder has a hemisphere

removed from the top. Determine the

volume of the object, to the nearest

cubic inch.

a. 1209 cubic inches

b. 1400 cubic inches

c. 643 cubic inches

d. 1463 cubic inches

Name: ________________________

ID: C

3

Math 10C Formula Sheet

10.

Conversion Table Right Triangles

Imperial to Imperial Imperial to SI (Metric)

12 inches (in) = 1 foot (ft) 2.54 cm = 1 in.

3 feet (ft) = 1 yard (rd)

1760 yards (yds) = 1 mile (mi) 1.6 km = 1 mi.

Pythagorean Theorem a 2+ b

2= c

2

Perimeter Trigonometry ratios

Square P = 4s sin ∠A =opposite

hypotenuse

Rectangle P = 2™ + 2w cos ∠A =adjacent

hypotenuse

Circle Circumference C = 2πr or C = πd tan ∠A =opposite

adjacent

Area Exponent Laws

Square A = s2 a

1

n= a

n

Rectangle A = bh a

m

n= a

mnor a

nÊ

Ë

ÁÁÁÁˆ

¯

˜̃̃˜

m

Parallelogram A = bh a−n

=1

an

, a ≠ 0

Triangle A =1

2bh a

m⋅ a

n= a

mn

Circle A = πr2 a

m÷ a

n= a

m − n, a ≠ 0

Surface Area amÊ

Ë

ÁÁÁÁˆ

¯

˜̃˜̃

n

= amn

Right Pyramid ab( )m= a

mb

m

SA =1

2s perimeter of baseÊËÁÁ ˆ

¯˜̃ + base area( )

a

b

Ê

Ë

ÁÁÁÁÁˆ

¯

˜̃˜̃̃

m

=a

m

bm

, b ≠ 0

Right Cylinder SA = 2πr2

+ 2πrh

Right Cone SA = πr2

+ πrs Coordinate Geometry

Sphere SA = 4πr2 Slope =

rise

runor Slope =

y2

− y1

x2

− x1

Volume Slope y-intercept form of a line:

Right Rectangular Prism V = ™wh y = mx + b

Right Rectangular Pyramid V =1

3™wh Slope point form of a line:

Name: ________________________

ID: C

4

Right Cylinder V = πr2h y − y1 = m x − x1

ÊËÁÁ ˆ

¯˜̃

Right Cone V =1

3πr

2h General form of a line:

Sphere V =4

3πr

3 Ax + By + C = 0

Short Answer

11. Measure the length of the rectangle

using the inch ruler shown.

12. Convert 5 ft. 9 in. to inches.

13. A killer whale is 7.8 m long. Convert

this length to feet and the nearest inch.

.

14. A right cone has a slant height of 11 cm

and a base diameter of 19 cm. Determine

the volume of the cone to the nearest

square centimetre.

15. A regular tetrahedron has an edge length

of 11.0 m and a slant height of 9.5 m.

Calculate the surface area of the

tetrahedron to the nearest tenth of a

square metre.

.

Name: ________________________

ID: C

5

16. Determine the volume of the following

sphere to the nearest cubic inch.

17. The base of this cone is to be glued to

the circular face of the hemisphere.

Calculate the surface area of the

composite object formed, to the

nearest square inch.

Name: ________________________

ID: C

6

18. A solid sphere just fits inside a cube that

has an edge length equal to the diameter

of the sphere. The edge length of the

cube is 5.9 cm. What is the volume of

air in the cube to the nearest cubic

centimetre?

.

19. Multiple choice Answers:

1. �������

2. �������

3. �������

4. �������

5. �������

6. �������

7. �������

8. �������

9. �������

ID: C

1

Chapter Test

Answer Section

MULTIPLE CHOICE

1. C

2. B

3. B

4. B

5. C

6. B

7. B

8. B

9. B

OTHER

10. Math 10C Formulas

SHORT ANSWER

11. 1

2 inches

12. 69 in.

13. 25 ft. 7 in.

14. 524 cm3

15. 209.0 m2

16. 905 cubic inches

17.

The surface area of the composite object is:45.7422… + 150.7964… − 12.5663… = 183.9723…

The surface area of the composite object is

approximately 184 square inches.

18. The volume of air in the cube is:205.379 − 107.5361. . . = 97.8428. . .The volume of air in the cube is approximately 98 cm3.

19. answers