Math 391 Practice Test IV

PRACTICE EXAM NOTES

This is just a sample of the possible questions, refer to all of your class activities and portfolios.
Each problem may have more than one correct answer.

1. To model [2/3] + [1/4] with Cuisenaire Rods we could:

a.	Let the white rod be 1 and determine the value of a train of 2 light green rods and 1 purple rod.
b.	Let an orange-red train be 1 and determine the value of a train of 2 light green rods and 1 purple rod
c.	Let an orange-red train be 1 and determine the value of a train of 1 light green rod and 2 purple rods
d.	Let an 12 be 1 and determine the value of a train of 1 light green rod and 2 purple rods
e.	Let an 12 be 1 and determine the value of a train of 2 light green rods and 1 purple rod

2. To determine the final numerical solution to [2/3] + [1/4] modeled with Cuisenaire Rods we would say:

a.	A train of 2 light green rods and 1 purple rod is 10..
b.	A train of 2 light green rods and 1 purple rod is 10/24
c.	A train of 1 light green rod and 2 purple rods is 11
d.	A train of 1 light green rod and 2 purple rods is 11/12
e.	A train of 2 light green rods and 1 purple rod is 10/12

3. To model [1/3] + [2/7] we could:

a.	Let the white rod be 1 and determine the value of 1 light green and 2 black rods.
b.	Let an orange-orange-white train be 1 and determine the value of 1 light green and 2 black rods.
c.	Let 21 wooden cubes be 1 and determine the value of 3 blocks combined with 14 blocks
d.	Let 1 wooden cube be 1 and determine the value of 3 blocks comgined with 14 blocks.
e.	None of the above.
f.	All of a. - d.

4. To model [1/3] + [2/7] we could:

a.	Let the orange-orange-white rod be 1 and determine the value of 1 black rod and 2 light green rods.
b.	Let an orange-orange-orange-orange-red train be 1 and determine the value of 2 black rods and 2 dark green rods.
c.	Let 21 wooden cubes be 1 and determine the value of 7 blocks combined with 6 blocks
d.	Let 1 wooden cube be 1 and determine the value of 7 blocks combined with 6 blocks
e.	None of the above.

5. To model [1/3] - [2/7] we could:

a.	Let the orange-orange-white train be 1 and determine the value of 1 white rod.
b.	Let the white rod be 1 and determine the value of a light green rod take away 2 black rods.
c.	Let 21 wooden cubes be 1 and determine the value of 7 blocks take away 6 blocks
d.	Let 21 wooden cubes be 1 and determine the value of 3 blocks take away 14 blocks
e.	None of the above.

6. To model (2/3) of 7 with wooden blocks we could:

a.	Let 3 cubes be 1 and determine the value of 2 sets of wooden cubes, each set with 7 cubes.
b.	Let 21 cubes be 1 and determine the value of 2 sets of wooden cubes, each set with 7 cubes.
c.	Let 3 cubes be 1 and determine the value of 2 sets of wooden cubes, each set with 3 cubes.
d.	Let 1 cube be 1 and determine the value of 2 sets of wooden cubes, each set with 7 cubes.

7. To model (3/4) of 10 with Cuisenaire Rods we could:

a.	Let the white rod be 1 and determine the value of 3 of 4 purple rods.
b.	Let the orange rod be 1 and determine the value of 3 of 4 purple rods.
c.	Let the orange-orange train be 1 and determine the value of 3 of 4 purple rods.
d.	Let the red rod be 1 and determine the value of 3 of 4 yellow rods.
e.	Let the white rod be 1 and determine the value of 3 of 4 yellow rods.

8. To model (3/4) of (8/9) with Cuisenaire Rods we could:

a.	Let the blue rod be 1, 8/9 be the brown rod, and determine the value of 3 light green rods.
b.	Let the blue rod be 1, 8/9 be the brown rod, and determine the value of 3 purple rods.
c.	Let the white rod be 1, 8/9 be the brown rod, and determine the value of 3 purple rods.
d.	Let the blue rod be 1, 8/9 be the brown rod, and determine the value of 3 red rods.
e.	Let the white rod be 1, 8/9 be the brown rod, and determine the value of 3 red rods.

9. To model 3 ÷ 4/5 with Cuisenaire Rods we could:

a.	Let the white rod be 1 and determine how many times the purple rod goes into the yellow-yellow-yellow train.
b.	Let the light green rod be 1 and determine how many times the purple rod goes into the yellow-yellow-yellow train.
c.	Let the yellow rod be 1 and determine how many times the purple rod goes into the yellow-yellow-yellow train.
d.	Let the orange rod be 1 and determine how many times the brown rod goes into the orange-orange-orange train.
e.	Let the white rod be 1 and determine how many times the brown rod goes into the orange-orange-orange train.

10. To model 4 ÷ 2/3 we could:

a.	Let one wooden cube be 1 and determine how many times a set of 3 wooden cubes goes into a set of 8 wooden cubes.
b.	Let three wooden cubes be 1 and determine how many times a set of 3 wooden cubes goes into a set of 8 wooden cubes.
c.	Let three wooden cubes be 1 and determine how many times a set of 2 wooden cubes goes into a set of 8 wooden cubes.
d.	Let three wooden cubes be 1 and determine how many times a set of 2 wooden cubes goes into a set of 12 wooden cubes.
e.	Let one wooden cube be 1 and determine how many times a set of 2 wooden cubes goes into a set of 8 wooden cubes.

11. To model 3/4 ÷ 2/3 we could:

a.	Let four wooden cubes be 1 and determine how many times a set of 2 wooden cubes goes into a set of 3 wooden cubes.
b.	Let three wooden cubes be 1 and determine how many times a set of 3 wooden cubes goes into a set of 2 wooden cubes.
c.	Let twelve wooden cubes be 1 and determine how many times a set of 2 wooden cubes goes into a set of 3 wooden cubes.
d.	Let twelve wooden cubes be 1 and determine how many times a set of 9 wooden cubes goes into a set of 8 wooden cubes.
e.	Let twelve wooden cubes be 1 and determine how many times a set of 8 wooden cubes goes into a set of 9 wooden cubes.

Be sure to double check that for each problem you gave ALL of the correct answers!

SOLUTIONS Click on the link to see a table of solutions.