Grima MAT 142 Chapter 2 in class practice problems PART 1
1) Use the Pythagorean Theorem to find the missing length. Each triangle on the test doesn’t
have units and you won’t need to give units on problem 1. You will need to give units for every
other geometry problem on the test.
1a)
1b)
3) Find the area. Leave
answer in terms of 𝜋
4) Find the shaded area.
Leave answer in terms of 𝜋
2) Find the area.
5) Find the shaded area. Use
3.14 for 𝜋. Round you
answer to 1 decimal. Assume
units are in cm.
6) Find the volume.
Leave answer in terms
of 𝜋
7) Find the volume.
8) Find the volume of the entire figure.
9 – 11: Use dimensional analysis to find the missing quantity.
9) 24.235 l = ______ ml
10) 10 cups = _______ l
11) 12 yd = _______ in
12) A gas tank is in the shape of a rectangular prism. Its dimensions are 3 ft wide, 2 ft long and
4 ft deep.
a) What is the volume in cubic ft?
b) How many gallons of gas does it hold?
Answers???? 1a) c = 10 1b) a = 6 cm 2) A = 32 cm2 3) A = 196𝜋 m2 4) 40𝜋 cm2
5) A = 21.5 cm2 6) V = 33𝜋 cm3 7) V = 411.968 cm3
8) V =120 cm3
9) 24235 ml 10) 2.4 L 11) 432 in 12a) 24 ft3 12b) 179.52 gallons
Grima MAT 142 Chapter 2 in class practice problems PART 2
13) A car is traveling 70 mph. What is its speed in kmph (kilometers per hour)?
14) Write as a Roman Numeral.
14a) 1924
14b) 399
15) Write as a Hindu Arabic numeral
15a) XLVII
15b) MMCMLIX
16) Convert to base 10
16a) 5146
16b) 31425
17) Convert to the indicated base.
17a) 52 to base 6
17b) 117 to base 3
17c) 13 to base 2
Answers?????
13) 112 kmph
14a) MCMXXIV
15a) 47
15b) 2959
16a) 190
16b) 422
17a) 1246
17b) 111003
14b) CCCXCIX
17c) 11012