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Basic Math Skills
geometry and measurement key
1. (a) Two lines that touch at a point are called ( intersecting / parallel / skew / undefined ).
(b) An ( acute / obtuse / right ) angle is an angle that measures less than 90 degrees.
(c) A ( acute / obtuse / right ) angle is an angle that measures exactly 90 degrees.
(d) An ( acute / obtuse / right ) angle is an angle that measures more than 90 degrees.
(e) Complementary angles are two angles whose measures total
(f) Supplementary angles are two angles whose measures total
2. (a) A triangle has
3
90
180
degrees.
degrees.
interior angles.
(b) A right triangle has 1
right
angle and 2 ( acute / obtuse / right ) angles.
(c) The sum of angles inside any triangle is
180
degrees.
(d) The height of a triangle is ( obtuse / parallel / perpendicular / skew ) to the base.
(e) The area inside a triangle is
(
1
1
2
3
/
/
/
/ 1 / 2 / 3 /  ) times the base times its height.
3
2
3
4
3. (a) Every point on a circle is the same distance from the
center.
(b) The distance from the center to any point on a circle is called the
(c) The length around a circle is called the
radius.
circumference.
(d) The length around a circle is about ( 1 / 2 / 3 / 4 / 5 / 6 ) diameter(s) long.
(e) The radius of a circle is ( one-third / one-half / 1 / 2 / 3 ) diameter(s) long.
(f) The ( circumference / diameter / radius ) of a circle measures exactly
the ( circumference / diameter / radius ).
 times
4. (a) Calculate the perimeter of the triangle shown.
5.2 + 6.0 + 5.6 mi. = 16.8 mi.
(b) Calculate the area inside the triangle shown.
1
2
5.2 mi.
4.8 mi.
(5.6 mi.)(4.8 mi.) = 13.44 sq. mi.
5.6 mi.
6.0 mi.
5. Use 3.14 as an approximation of
 .
(a) Calculate the circumference of this circle.
Round your answer to the nearest tenth.
C = π x diameter
~= (3.14)(14 in.)
~= 43.96 in.
~= 44.0 in.
14 in.
(b) Calculate the area inside this circle.
Round your answer to the nearest tenth.
A
= π x radius2
~= (3.14)(7 in.)2
~= 153.86 sq. in.
~= 153.9 sq. in.
centimeter (or centimetre)
kilogram
milliliter (or millilitre)
millimeter (or millimetre)
6. cm
kg
mL
mm
7. 1 kg
1000 g
= 0.001 L
=1m
= 0.375 g
= 8300 m
= 0.0372 m
=
1 mL
100 cm
375 mg
8.3 km
37.2 mm
1
1
1
1
LENGTH
foot
= 12 inches
yard
= 3 feet
mile
= 1760 yards
mile
= 1.609 kilometers
1
1
1
1
8. (a) Convert 10,560 feet to kilometers.
minute
hour
day
year
TIME
= 60 seconds
= 60 minutes
= 24 hours
= 365 days
10,560 ft 1 yd
1 mi
1.609 km
×
×
×
=3.218 km.
1
3 ft 1760 yd
1 mi
(b) Convert 10,000 meters to miles.
10,000 m
1 km
1 mi
×
×
≈6.2 mi.
1
1000 m 1.609 km