Appendix A – Survey
1) Define the rational numbers :
2) Describe the difference between rational and irrational numbers.
3) Shade 2/5 of the rectangle below:
4) Using the diagram below, with two hexagons as the unit, shade 1/6 of 5/2.
5) Insert the correct inequality :
6) Explain whether or not it is possible for the product
of two real numbers to be smaller than:
a. One of the original factors .
b. Both of the original factors .
7) Is it possible for a/b = c where c > a . Why or why
not?
10) Let a > b > c > d for the following questions. Insert
the correct inequality and explain your
reasoning:
11) Insert the correct inequality :
12) Write two numbers between :
a. 0.2 and 0.21
b. 1/4 and 1/5
13) Arrange in order from smallest to largest.
14) Can 
be written as
a fraction ? Why or why not?
15) Complete the following statements:
a) If 3 feet = 1 yard, then 7 feet = ? yard
b) If 32 ounces = 1 quart, then 6.7 quarts = ? ounces
16) In a lemonade punch, the ratio of lemonade to soda pop
is 2:3. If there are 24 gallons
of punch, how much lemonade is needed?
17) Is the operator 5/3 equivalent to one third of a
segment of length five or five segments of
length one third? Explain.
18) Sam walks 2/3m/s. How long does it take him to walk 2
m?
19) Use a diagram to illustrate how many thirds are in
20) Create and solve a word problem for the following
statements:
