6/16/2019
M10C Unit 1:
Measurement End of UA
Name: ________________
Date: ________________
1. Match the approximate measurement on the left with the referent on the right. Each referent
may be used once, more than once or not at all. (0.5 marks each)
_____ 1 inch
A. width of an adult pinky fingernail
_____ 1 metre
B. thickness of a dime
_____ 1 millimetre
C. width of five toes of an adult
_____ 1 yard
D. diameter of a CD or DVD
_____ 100 metres
E. width of a thumb across the joint
_____ 2 metres
F. length of an adult male foot
_____ 0.1 metres
G. height of a standard doorway
_____ 1 centimetre
H. width of a workbook
/47
I. length of an adult pace
J. length of a CFL football field
2. Convert each measurement to a more appropriate unit in the SI system. Show your work.
a) The width of a window is 1980 mm. (1 mark)
b) The hallway is 26950 cm in length. (1 mark)
3. a) Convert 85200 m to km using unit analysis. (1 mark)
Unit Analysis
Step 1: Write down the starting measurement
as a fraction with a denominator of 1.
Step 2: Find the conversion factor(s).
Step 3: Arrange and multiply the fractions so
that the units you don’t want cancel out.
b) Convert 5.6 miles to yards using proportional reasoning.
(1 mark)
Proportional Reasoning
Step 1: Write out the conversion as a ratio.
Step 2: Write out the unknown and given value
as a ratio. Make sure that the same units are in
numerator for both ratios and that the same
units are in the denominator for both ratios.
Step 3: Set the ratios equal to each other. To
solve, cross multiply and divide.
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6/16/2019
4. Convert the following to the measurement indicated. You must use either unit analysis or
proportional reasoning. Give your answers to 2 decimal places if needed. (1 mark each)
a) 4 yds 2 feet to inches
b) 3.8 km to miles
c) 32.5 yards to feet
d) 28.7 yards to metres
5. A tile measures 24 cm by 18 cm. Determine the area of the tile in square inches. (2 marks)
6. Determine the surface area and volume of the following. Give your answers to the nearest
tenth.
a)
SA:
(2 marks)
V:
(2 marks)
b)
SA:
(2 marks)
V:
(2 marks)
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6/16/2019
c)
d)
SA:
(2 marks)
SA:
(2 marks)
V:
(3 marks)
V:
(3 marks)
7. Find the surface area of the right rectangular prism at the right. (3 marks)
8. What is the diameter of the right cone shown below with a volume of 101.9 cm3?
(2 marks)
9.5cm
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6/16/2019
9. The volume of the cylinder below is 1525 cubic inches. Determine the height of the cone to
the nearest tenth of an inch. (2 marks)
10. What is the radius, to the nearest tenth of an inch, of a sphere
a) with surface area of 254.5 cm2? (2 marks)
b) with a volume of 1317.1 cm3? (2 marks)
11. Determine the surface area of the composite object composed of a right square prism and a
right square pyramid. Give your answers correct to the nearest tenth. (3 marks)
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