Word Problems Worksheet - Regional Professional Development Program Page 33
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47Southern Nevada
Regional Professional Development Program
Set 25
1) An airplane flies due north 300 kilometers before turning due east 400 kilometers.
The pilot wants to fly back to where he started from. What is the shortest distance
back to his starting point?
2) Two bicyclists travel 12 kilometers due west before turning due south and traveling
another 5 kilometers. What is the shortest distance they must travel to get back to
their starting point?
3) The sides of a triangle are 7 units, 8 units, and 10 units. Is it a right triangle?
4) The sum of two whole numbers is 7 times larger than their difference. What are the
two whole numbers?
5) Pythagorean Triples are side lengths of right triangles
Leg Leg Hypotenuse
that are whole numbers. 3, 4, 5 is the most famous
3
4
5
+
=
2
2
2
Pythagorean Triple.
3
4
5
6
8
?
Fill in the table provided with five more
9
12
?
Pythagorean Triples. What do you notice?
12
?
15
?
24
30
75
100
?
6) Rafters support the roof of a house. In many homes the
rafters are made of wood and the builders must cut them
to size. The Pythagorean Theorem can be used to
+
= , where
2
2
2
determine the length of a rafter. Use
a
b
c
a represents the rise and b represents the span to
determine the length of the rafter.
7) Using the information from problem 6, if the span is 30 feet and the rise is 8 feet.
What is the length of the rafter? Describe the differences between the appearances of
the two roofs.
8) Fred has a collection of quarters and nickels worth $2.50. The ratio of nickels to
quarters is 5:1. How many of each coin does Fred have?
1
9) A shipping box is in the shape of a rectangular prism has dimensions of 5
feet by
8
3
3
feet by 7.5 feet. What is the volume of the box?
4
10) What is 125% of 60?
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