Fraction Number Sense Quiz:
All explanations should be as if you are teaching a 6-8 year old.
1)
Represent six-tenths with a drawing. Show six-tenths on a number line.
2)
Write the name of this number as you would read it aloud.
2
7
Draw a diagram to represent the number. Explain what the 2 and the 7 mean.
3)
If the following diagram shows
3
of a set, draw the whole set.
5
What does the 3 and the 5 mean?
Draw another set that represents a whole and mark 3/5. Explain your procedure.
4)
If this length is four-tenths, draw the length that is one. Explain your reasoning.
5)
If this part is three-tenths, draw the whole. Explain your procedure. Is there a
relationship between 4) and 5)? Explain.
6)
Can you give this fraction another name? Explain your procedure.
3
5
Give three different names for this fraction.
Estimate the size of an answer. Illustrate your conclusion with a drawing or array.
Explain the relationship between the answer to the operation and the original
number.
1 5
5
5 1
5
8)
7)  ______
÷ ______
3 6
6
6 4
6
Complete the operation using the standard algorithms for fractions. All answers should
be in lowest terms. Simplify multiplication and division as early as possible.
9) 25
2
4
− 11
15
9
10) 7
7
9
÷4
8
10