6th Grade Semester 2 Benchmark Test Review

Ratios

100

For every 2 cups of sugar, 3 cups of flour are used to make cookies.  What is the ratio of sugar to flour?

2 to 3

200

Which ratios are equivalent to 2/3?   Prove it.

A.  4/6              B.  6/9              C.  8/10

4/6 and 6/9

300

A recipe uses 2 cups of sugar for every 3 cups of flour.  If you use 6 cups of sugar, which proportions can you use to solve how much flour to use?

A.  2/3 = 6/x      B.  3/6 = x/2       C.   3/2 = x/6

2/3 = 6/x   and   3/2 = x/6

400

A recipe uses 12 cups of sugar for every 3 cups of water.  If you use 36 cups of sugar, which proportions can you use to solve how much water you need?

A.  3/12 = x/36      B.  36/x = 4      C.  x/3 = 36/12

 3/12 = x/36         36/x = 4          x/3 = 36/12

Expressions

100

Solve the expression when x = 3.

x³     

27

200

Solve the expression when x = 5.

   2x² + x²

=2(25) + 25

= 50 + 25

= 75

300

Which expressions are equivalent to 3x + 12?

A. 3(x + 4)     B.  x³ + 12     C.  x + x + x + 4 +4 + 4

3(x + 4)     and     x + x + x + 4 +4 + 4

400

Solve for 3x² + 2x³ - x² when x = 2.

   3(2²) + 2(2³) - 2²

= 3(4) + 2(8) - 4

= 12 + 16 - 4

= 28-4

= 24

Percent of a Number

100

If you got 8 out of 10 questions correct on a Math quiz, what percent did you answer correctly?

8/10 = 80%

200

If you got 8 out of 10 questions correct on a Math quiz, what percent did you answer incorrectly?

2/10 = 20%

300

If you answered 15 out of 20 questions correctly on a Math quiz, what percent did you answer correctly?

15/20 = x/100

20 x 5 = 100

15 x 5 = 75

x = 75%

400

If you answered 15 out of 20 questions correctly on a Math quiz, what percent did you answer incorrectly?

5/20 = x/100

20 x 4 = 100

5 x 4 =20

x = 20 %

Statistics and Geometry

100

A parallelogram has a length of 10 cm and height of 4 cm.  What is the area?

10 x 4 = 40 cm²

200

A triangle has a base of 12 m and a height of 5 m.  What is the area?

   (12 x 5) ➗ 2

= 60 ➗ 2

= 30 m²

300

A parallelogram has a length of 10 cm, height of 4 cm, and each side is 6 cm.  What is the perimeter?

10 + 10 + 6 + 6 = 32 cm

400

A triangle has a length of 12 m on each side and a height of 5 m.  What is the perimeter?

12 + 12 + 12 = 36 m

Inequalities

100

Select all solutions for x if x > 1/2.

A.  1/2        B.  1          C.  2          D. -1/2

1   and    2

200

Select all solutions for x if x < 1/2.

A.  1/2       B.  1         C.  2         D. -1/2

-1/2

300

Select all solutions for x if x > 1 1/2.

A.  1      B.  2.         C. 1/2          D.  2 1/2

2     and    2 1/2

400

Select all solutions for x if x < -1 1/2.

A.  -1      B.  -2       C. -1 1/2      D. -2 1/2

-2     and      -2 1/2