Topic 8 Math Test Review

Estimate

100

Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot. Explain.

A.  5/8 rounds to 1, and 4/9 rounds to 1. The area is about 1 sq ft.

B.  5/8 rounds to 2/3, and 4/9 rounds to 2/3. The area is about 4/9 sq ft.

C.  5/8 rounds to 1/2, and 4/9 rounds to 1/2. The area is about 1/4 sq ft.

D.  5/8 rounds to 0, and 4/9 rounds to 0. The area is about 0 sq ft. 

C

200

Henry is making 10 batches of cookies. Each batch takes 2 1/4 cups of flour.

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

2 1/4 rounds to 2. 2 x 15 = 30. He needs about 30 cups of flour.

300

The Concrete Company pours 8 sections of sidewalk, each of which is 256 feet long.  

Estimate the length of the entire sidewalk. Explain. 

A. I would round  to 2, so the length of the sidewalk would be about  8 x 2 = 16 feet. 

B. I would round  to 1, so the length of the sidewalk would be about 8 x 1 = 9 feet. 

C. I would round  to 3, so the length of the sidewalk would be about 8 x 3 = 24 feet. 

D. I would round  to 3, so the length of the sidewalk would be about 3 x 3 = 9 feet. 

C

400

Sam has a rope that is 5 feet long. Brittney has a rope that is 4/5 as long as Sam's rope.
Logan has a rope that is 1 1/4  times as long as Sam's rope.
Holly has a rope that is 8/8  as long as Sam's rope.

Without completing the multiplication, whose rope is shorter than Sam’s rope? Explain.

Because 4/5 is less than 1, 5 times 4/5

will be less than 5. So, Brittney’s rope 

is shorter.

500

Estimate 4/5×6/7

4/5 rounds to 1, 6/7 rounds to 1. 1 x 1 = 1

Area

100

What is the actual area of a rectangle with a length of 5/8 foot and a width of 4/9 foot? LABEL!!!!

5/18 sq. ft

200

Jodi paints one wall in her bedroom. She paints the bottom 3/4 of the wall purple and the rest pink.

Write an equation represents the height of the purple part of the wall?

3/4 x 8 1/2 = 6 3/8 ft²

300

Jodi paints one wall in her bedroom. She paints the bottom 34 of the wall purple and the rest pink.

Which is the best estimate for the area of the entire wall?

90 ft²

400

Jodi paints one wall in her bedroom. She paints the bottom 34 of the wall purple and the rest pink.

They found an estimate and said that 90 ft² would be the proper estimate. Then they solved and found the answer was actually 87 5/6 ft². Is there answer reasonable? Explain.

Yes their answer is reasonable because 87 5/6 ft² is close to 90 ft²

500

The Becks buy a plastic tarp to cover their firewood.



Part A
Which equation models the best estimate for the area of the tarp?

8 1/3 rounds to 8. 6 3/4 rounds to 7. 8 x 7 = 56 yd²

Word Problems

100

Josh attempted 56 free throws during the basketball season.
He made 5/7 of them. How many free throws did he make?

A.  5/7 + 56 = 56 5/7
B. 5/7 × 56 = 40

C. 56 divided by 5/7 = 40

D. 56 - 5/7 = 55 2/7

B

200

A recipe uses 2 1/4 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

Which equation models the total number of cups of flour, c, Henry needs? 

A. c + 2 1/4 = 10

B. 2 1/4 x c = 10

C. 10 + c = 2 1/4

D. 2 1/4 x 10 = c 

2 1/4 x 10 = c

300

Henry is making 10 batches of cookies. Each batch takes 2 1/4 cups of flour. How many cups of flour will it take to make all 10 batches? LABEL!!!

22 1 /2 cups

400

Josh attempted 56 free throws during the basketball season.
He made 5/7 of them. How many free throws did he make?

16 free throws

500

The Concrete Company pours 8 sections of sidewalk, each of which is 256 feet long. 

What is the length of the entire sidewalk that the Concrete Company pours?

22 2/3 ft 

Select All

100

For which equations does the fraction  23 make the equation true? Select all that apply. 

A. 35 × □ = 20; I rewrote 35 as 35/1 and then multiplied 2 and 35 to get the numerator, and I multiplied 3 and 1 to get the denominator. 

B. 26 × □ = 18 1/26; I rewrote 26 as 1/26 and then multiplied 1 and 2 to get the numerator, and I multiplied 3 and 26 to get the denominator.

C. 48 × □ = 32; I rewrote 48 as 48/1 and then multiplied 2 and 48 to get the numerator, and I multiplied 3 and 1 to get the denominator. 

D. 22 × □ = 14 2/3; I rewrote 22 as 22/1 and then multiplied 2 and 22 to get the numerator, and I multiplied 3 and 1 to get the denominator. 

E. 23 × □ = 15; I rewrote 23 as 1/23 and then multiplied 2 and 1 to get the numerator, and I multiplied 23 and 3 to get the denominator. 

C and D

200

Select all of the following expressions that are true. Explain. 

A. 8/7 × 9/10 = 72/70; I multiplied 8 and 9 to get the numerator, and I multiplied 7 and 10 to get the denominator. 

B. 7/10 × 9/8 = 16/18; I added 7 and 9 to get the numerator, and I added 10 and 8 to get the denominator. 

C. 10/7 × 9/8 = 90/15; I multiplied 10 and 9 to get the numerator, and I added 7 and 8 to get the denominator. 

D. 7/9 × 8/10 = 56/90; I multiplied 7 and 8 to get the numerator, and I multiplied 9 and 10 to get the denominator. 

E. 8/10 × 9/10 = 72/20; I multiplied 8 and 9 to get the numerator, and I added 10 and 10 to get the denominator. 

A and D

300

Select all the expressions that are equal to  59×8 . 

A. 9 divided by 5 x 8

B. 8/9 x 5

C. 5 divided by 8 x 9

D. 5 x 1/9 x 8

E. 5 x 8 divided by 9

B, D, and E

400

Select all of the following expressions that are true when 3/5 is used, and the explanation is true.

A.  □ × 5/8 = 3/8; I multiplied 3 and 5 to get the numerator, and I multiplied 5 and 8 to get the denominator.

B.  □ × 2/9 = 2/15; I added 2 and 3 to get the numerator, and I added 9 and 5 to get the denominator.

C.  □ × 1/6 = 1/10; I multiplied 3 and 1 to get the numerator, and I multiplied 5 and 6 to get the denominator.

D.  □ × 7/10 = 2/5; I multiplied 7 and 3 to get the numerator, and I multiplied 5 and 10 to get the denominator.

E.  □ × 9/10 = 2/3; I added 8 and 9 to get the numerator, and I added 5 and 10 to get the denominator. 

A and C

500

Select all the expressions that are equal to 45×67 . 

A. 24/35

B. 28/30

C. 20/42

A

Solve

100

5/9 x 8 = ?

4 4/9

200

Jordan has 28 golf balls. 

Part A:    Of the 28 golf balls, 1/7 are yellow. How many golf balls are yellow?  

Part B:   Of the 28 golf balls, 5/7 are white. How many are white?

Part C:   Which of the following explains the relationship between the number of white golf balls and the number of yellow golf balls? HINT: think times as many

Part A: 4

Part B: 20 

Part C: There are 5 times as many white golf balls as there are yellow golf balls. 

300

Sam has a rope that is 5 feet long. Brittney has a rope that is 4/5 as long as Sam's rope.
Logan has a rope that is 1 1/4  times as long as Sam's rope.
Holly has a rope that is 8/8  as long as Sam's rope.

A. Because 1 1/4 is greater than 1, 5 times 1 1/4 will be greater than 5. So, Sam’s rope is longer.

B.  Because 1 1/4 is less than 1, 5 times 1 1/4 will be less than 5. So, Sam’s rope is longer.

C.  Because 1 1/4 is less than 1, 5 times 1 1/4 will be less than 5. So, Logan’s rope is longer.

D.  Because 1 1/4 is greater than 1, 5 times 1 1/4 will be greater than 5. So, Logan’s rope is longer.

D

400

If Ava rides her bike around the block an additional 2 times, how many miles does she ride in total? Explain.

A. 5/14 miles; I added 2 to 5 to find how many times she rode her bike around the block in total, and then I multiplied 7 by 3/4. 

B. 3 3/4 miles; I added 2 to 5 to find how many times she rode her bike around the block in total, and then I multiplied 7 by 3/4. 

C. 1 1/2 miles; I multiplied 2 by 3/4. 

D. 2 1/4 miles; I subtracted 2 from 5 to find how many times she rode her bike around the block in total, and then I multiplied 3 by 3/4. 

A

500

The distance around one block in Ava’s neighborhood is 34 mile.

If Ava rides her bike around the block 5 times, how many miles does she ride? Write an equation and solve.
Use the number line to help if needed.

3 3/4 miles