Summer
2000
Staebler/Webster Exam #1 over Fractions
Show ALLWORK to receive full
credit!
No Calculator allowed.
1.
On
the number line below x marks the position of 4/7.
Accurately mark the position of 1 2/7 on the number line. Show work / explain how you know that the
position you marked is accurate.
2.
Carefully
draw a picture to illustrate 2/3 + 1 1/2 using a set model.
3.
Is
5/6 closer to 3/4 or to7/8? Justify your answer without drawing a
picture.
4.
Find
8 4/9 – 5 7/9 using the indicated techniques.
Show step by step work.
A. Exchange
from the whole B. Compensation
5.
Use
¾ ¸ 5/7 as an example to explain WHY the
following technique for the division of fractions works: “Multiply the first fraction by the
reciprocal of the second fraction.”
6.
Carefully
draw a picture to illustrate the calculation of 1 1/3 * 3/5 using either the
“repeated addition” approach or the “rectangular area” approach.
7.
Mrs. Jones baked a batch
of cookies for a “Christmas in July” party.
Her children promptly ate 1/3 of the cookies while they were still
warm. Then her husband came home and
ate 2/5 of the remaining cookies. What
fraction of the batch of cookies was left for the party?
8.
Janie Jones has 15 1/2
cups of cranberries. It takes 1 1/4 cups
to make 10 inches of “cranberry chain garland”. How many inches of “cranberry chain garland” can Janie make?
9.
Mrs. Jones’ punch
recipe calls for 1/3 of the punch to be grape juice and 2/5 of the punch to be
cherry juice. The remaining portion
consists of ginger ale. If she has
plenty of grape juice and cherry juice, but only 2 liters of ginger ale, what
is the largest amount of punch that she can make?
10. Mr. Jones is preparing the family swimming pool for the
“Christmas in July” party. The
directions on the chemical bag say to put 3/4 cup of the chemical into the
filtering system for every cubic yard of water in the pool. Mr. Jones estimates that the pool holds 16
2/3 cubic yards of water. How many cups
of the pool chemical should he add to the filtering system?