6th Grade Mixed-Up

Fractions

100

Solve (in simplest form):

5/8 x 8/11

5/11

200

Solve: (answer in simplest form)

3/4 - 6/10

3/20

300

Change this fraction greater than 1 into a mixed number:

47/6

7 5/6

400

7/8 - 6/7

1/56

500

2 2/3 + 4 3/5

7 4/15

Order of Operations

100

Solve:

9 x 6 - 4 / 2

46

200

Solve:

10² + 60 / 2 + 12 / 4

133

300

Solve:

5² + 2 x 12 - (5 + 1)

43

400

Solve:

21 / 3 + (3 x 9) x 9 + 5

255

500

Solve:

14 - 5 + 7 + 5 x (72 / 9)

55

Division

100

Dad books a vacation for his family of three. It costs $2,061 in total. How much does the family spend on each person?

$687

200

5,973 / 19 (Round to nearest tenth)

314.4

300

1.93 / .6 (round to nearest hundredth)

3.22

400

Eight friends equally split the cost of a weekend trip to a beach house. They spend $324 on food, $320 on scuba rentals, $590 on the rental of the beach house, and $273 on souvenirs. How much did each friend spend for the fun weekend? (Round to nearest hundredth)

$188.38

500

Jared enters a 5-mile charity fun run. There is a drink station located every 3/4 mile. How many drink stations are there?

6 stations

Geometry

100

Calculate the perimeter of the square: (remember to include the units in your answer)

* one side is 9 cm

36 cm

200

Calculate the area of the parallelogram: (remember to include the units in your answer)

*a set of opposite sides are 17 inches, where one of the sides is the base

*a set of opposite sides are 13 inches                    *The height is 12 inches

204 in²

300

Calculate the area of an isosceles triangle with 2 sides being 20 cm, base is 8 cm, and height is 16 cm. (remember the units)

64 cm²

400

Calculate the volume of a shipping container that is 12 meters long, 5 meters wide, and 8 meters high.

 

480 m³

500

Calculate the area of a trapezoid with parallel sides being 6.5 feet and the other is 3 feet, a third side is 4 feet, and the fourth side is 6 feet.  The height is 5 feet. (remember the units)

23.75 ft²

Distributive Property

100

Calculate:

8 (5 + 3)

64

200

15 (a + 3)

15a + 45

300

Combine like terms:

5b + b² + 2a + a² + 13 +a²  + 1b²

5b + 2b² + 2a + 2a² + 13

400

12 (3a + a)

48a

500

There are 5 equal rows of fruit trees. In each row, there are 12 apple trees and some plum trees (p), with the same number of plum trees in each row. How many fruit trees are there in total? Draw a picture AND write an expression to match the picture, THEN simplify the expression. 

5 (12 + p)  

60 + 5p