How could you solve it?
Mixed Operations
Fractions
Volume and Geometry
Potpourri
100

What steps could you take to solve a problem that asks you to add or subtract decimals?

Example: 132.7 + 6.09 or 70 – 9.27

Line up the decimal points

100

Solve:

78.3 + 9.49 =

87.79

100

Calculate 3/4 x 6

18/4 or 4 2/6

100

If a box has a dimension of 4 inches by 6 inches by 6 inches, what is its volume?

144 cubic inches

100

How would you write 100,000,000 as a power of ten?

10 to the 8th power

200

What steps could you take to solve a problem that asks you to divide a whole number by a unit fraction?

Example: 1/7 ÷ 4

1. Draw a model

2. Divide it into sevenths 

3. Color in one seventh.

4. Divide the sevenths into fourths.

5. Count the total number of pieces for the denominator and the total number of pieces colored in for the numerator.

200

Amanda bought 4 bags of potatoes at a market. Each bag of potatoes weighed 5.75 pounds.

Which of the following expressions can be used to find the total weight, in pounds, of the bags of potatoes Amanda bought?

A. (4×5)+(0.7+0.05)

B. (4×5)+(4×7)+(4×0.5)

C. (4×50)+(4×7)+(4×0.5)

D. (4×5)+(4×0.7)+(4×0.05)

D. (4×5)+(4×0.7)+(4×0.05)

200

Calculate 1/5 + 2/3

13/15

200

Which statement about quadrilaterals is true?

A. Every rectangle is also a parallelogram.

B. Every parallelogram is also a rectangle.

C. Every rectangle is also a rhombus.

D. Every rhombus is also a rectangle.

A. Every rectangle is also a parallelogram

200

The length of a pencil is 13.8 centimeters. What is the length of the pencil rounded to the ones place?

14

300

What steps could you take to solve a problem that asks you to multiply decimals?

Example: 3.45 x 8.1

1. Multiply normally then count the number of decimal places. 

2. Move the decimal point in the answer to the left that many places.

300

A museum receives an average of 488 visitors per day. The museum is open every day. How many visitors would the museum receive in a month (31 days)?

15,128 guests

300

Mr. Shapiro divides 3 cups of raisins into equal servings of ¼ cup each. How many servings would he have?

12 servings of 1/4 cup

300

A food company packages flavor cubes used for making soup. The flavor cubes are packaged in a box that is in the shape of a rectangular prism.

  • Each flavor cube has an edge length of 1 centimeter.
  • Each box holds exactly 2 layers of flavor cubes with no gaps or spaces.
  • Each layer in the box holds 9 flavor cubes.

What is the volume of one box of flavor cubes?

18 cubic centimeters

300

Which of the following is true?

A. 5.199 < 2.242 < 5.24

B. 5.199 < 5.24 < 5.242

C. 5.242 < 5.24 < 5.199

D. 5.24 < 5.199 < 5.242

B. 5.199 < 5.24 < 5.242

400

What could you do to solve a problem that asks you to explain the attributes of a figure?

Remember the main categories for attributes:

1. # of sides (are they equal?)

2. # of angles (are they right angles?)

3. Parallel lines

400

Solve: 5.12 x 2.6

13.312

400

Andy is painting a sign for his store. The sign is 2 ½ feet high and 1 ¼ feet wide, as shown. What is the area of Andy’s sign?

3 1/8 square feet

400

What attributes identify a rhombus?

1. 4 angles

2. 2 sets of parallel lines

3. 4 equal sides

400

The value of the 5 in 40.52 is how many times the value of the 5 in 115.78?

A. 1/10

B. 1/100

C. 10

D. 100

A. 1/10

500

What steps could you take to solve a problem that asks you to use multiple operations (order of operations)?

Example: 6×4−(5+3)÷2 

Parentheses

Exponents 

Multiplication

Division 

(if the equation has both M and D, go left to right)

Addition

Subtraction

(if the equation has both A and S, go left to right)

500

There are 144 pages in a book. Connor will read 16 pages of the book each night. Which equation can be used to find t, the total number of nights it will take Connor to read the entire book?

A. 144 ÷ 16 = t

B. 144 x t = 16

C. 16 x 144 = t

C. t ÷ 16 = 144

A. 144 ÷ 16 = t

500

At the start of the first game, 3/4 of the stadium’s seats were filled with people. At the end of the game, 2/3 of those seats remained filled. What fraction of the stadium’s seats remained filled with people at the end of the first game?

3/4 x 2/3 = 6/12 or 1/2

500

Which of the following is always true about an isosceles triangle?

A. The sum of its angles is 100°.

B. It cannot contain a right angle.

C. Two of its sides must be congruent.

D. All three of its angles must be congruent.

C. Two of its sides must be congruent.

500

Charlotte added 550 milliliters of orange juice to 500 milliliters of pineapple juice to make fruit punch.

What is the total amount of fruit punch, in liters, that Charlotte made?

A. 1.0

B. 1.5

C. 1.05

D. 1.005

C. 1.05

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