Division Dynamo Worksheet Division Dynamo
Topic: Long Division (2-Digit Dividend)
NAME: ________
DATE: ________
How to Solve: The DMSB Method
D Divide: How many times does the divisor fit?
M Multiply: Multiply the answer by the divisor.
S Subtract: Find the remainder.
B Bring Down: Bring down the next digit.
Example: \( 75 \div 3 \)
25
3 ) 75
-6
15
-15
0
1. \( 84 \div 4 = \)
2. \( 96 \div 3 = \)
3. \( 75 \div 5 = \)
4. \( 48 \div 6 = \)
5. \( 72 \div 8 = \)
6. \( 98 \div 7 = \)
7. \( 54 \div 9 = \)
8. \( 84 \div 6 = \)
9. \( 92 \div 4 = \)
10. \( 81 \div 9 = \)
Surface Area Safari Worksheet Surface Area Safari
Topic: Surface Area of Rectangular Prisms
NAME: ________
DATE: ________
How to Solve: The Surface Area Formula
Formula for a Rectangular Prism:
\( SA = 2(lw + lh + wh) \)
\( l \) = length
\( w \) = width
\( h \) = height
EXAMPLE: \( l=5, w=2, h=3 \)
Find Front/Back: \( 5 \times 3 = 15 \times 2 = 30 \)
Find Top/Bottom: \( 5 \times 2 = 10 \times 2 = 20 \)
Find Sides: \( 2 \times 3 = 6 \times 2 = 12 \)
Add them all: \( 30 + 20 + 12 = 62 \text{ units}^2 \)
1. Length: 4, Width: 2, Height: 3
Surface Area: ________________
2. Length: 6, Width: 5, Height: 4
Surface Area: ________________
3. Length: 10, Width: 3, Height: 2
Surface Area: ________________
4. Length: 7, Width: 1, Height: 8
Surface Area: ________________
5. Length: 5, Width: 5, Height: 5 (Cube)
Surface Area: ________________
6. Length: 12, Width: 4, Height: 2
Surface Area: ________________
7. Length: 9, Width: 3, Height: 6
Surface Area: ________________
8. Length: 2, Width: 2, Height: 15
Surface Area: ________________
9. Length: 11, Width: 2, Height: 4
Surface Area: ________________
10. Length: 8, Width: 8, Height: 3
Surface Area: ________________
Fraction Flip Worksheet Fraction Flip
Converting Fractions to Decimals
NAME: ________
DATE: ________
The Conversion Rule
To flip a fraction into a decimal, just divide the numerator (top) by the denominator (bottom).
Top ÷ Bottom
EXAMPLE: \(\frac{3}{5}\)
0.6
5 ) 3.0
- 3 0
-----
0
\(\frac{3}{5} = 0.6\)
1. \(\frac{1}{2}\) =
Workspace
2. \(\frac{1}{4}\) =
Workspace
3. \(\frac{4}{5}\) =
Workspace
4. \(\frac{7}{10}\) =
Workspace
5. \(\frac{1}{8}\) =
Workspace
6. \(\frac{3}{4}\) =
Workspace
7. \(\frac{6}{25}\) =
Workspace
8. \(\frac{3}{8}\) =
Workspace
9. \(\frac{9}{20}\) =
Workspace
10. \(\frac{5}{16}\) =
Workspace
Double Digit Dash Worksheet Double Digit Dash
Topic: 2-Digit by 2-Digit Multiplication
NAME: ________
DATE: ________
The Standard Algorithm
Multiply the Ones: Multiply the bottom ones digit by the entire top number.
Place a Holder: Put a '0' in the ones place of the next row.
Multiply the Tens: Multiply the bottom tens digit by the entire top number.
Add: Sum the two partial products.
EXAMPLE: \( 34 \times 12 \)
34
x 12
68 (2 x 34)
+340 (10 x 34)
408
1. \( 24 \times 15 = \)
2. \( 42 \times 31 = \)
3. \( 56 \times 12 = \)
4. \( 73 \times 24 = \)
5. \( 38 \times 45 = \)
6. \( 91 \times 17 = \)
7. \( 62 \times 53 = \)
8. \( 48 \times 64 = \)
9. \( 85 \times 29 = \)
10. \( 99 \times 88 = \)
Integer Impact Worksheet Integer Impact
Topic: Operations with Integers
NAME: ________
DATE: ________
The Integer Cheat Sheet
Addition & Subtraction
Same Signs: Add and keep the sign.
Different Signs: Subtract the smaller from the larger and keep the sign of the larger absolute value.
Subtraction: "Add the opposite" (KCC: Keep, Change, Change).
Multiplication & Division
Same Signs: Result is always POSITIVE (+) .
Different Signs: Result is always NEGATIVE (-) .
Example: \( (-4) \times 3 = -12 \)
1 \( -15 + (-8) = \)
2 \( 12 - (-5) = \)
3 \( (-6) \times 7 = \)
4 \( (-48) \div (-8) = \)
5 \( -20 + 35 = \)
6 \( -14 - 9 = \)
7 \( (-12) \times (-4) = \)
8 \( 100 \div (-5) = \)
9 \( (-25) + (-25) = \)
10 \( (-9) \times 9 = \)
Decimal Drift Worksheet Decimal Drift
Single-Digit Whole Numbers × 2-Digit Decimals
NAME: ________
DATE: ________
The Decimal Secret
Ignore the dot: Multiply the numbers as if they were whole numbers.
Count the spots: Count how many digits are behind the decimal in the original problem.
Place the dot: Move the decimal in your answer that same number of places starting from the right.
EXAMPLE: \( 8 \times 0.12 \)
0.12
x 8
0.96
Count 2 places → 0.96
\( 5 \times 0.15 = \)
\( 4 \times 0.22 = \)
\( 9 \times 0.45 = \)
\( 7 \times 0.11 = \)
\( 3 \times 0.75 = \)
\( 6 \times 0.40 = \)
\( 8 \times 0.13 = \)
\( 2 \times 0.65 = \)
\( 4 \times 0.99 = \)
\( 7 \times 0.08 = \)
Word Problem Wizards Worksheet Word Problem Wizards
Multi-Step Operations Challenge
NAME: ________
DATE: ________
The Problem Solver's Strategy
The "CUBES" Method:
C ircle the numbers.
U nderline the question.
B ox the math "action" words.
E valuate the steps needed.
S olve and check your work.
EXAMPLE:
Maya bought 3 shirts for $12 each. She had a coupon for $5 off her total. She paid with a $50 bill. How much change did she get?
1. Multiply: \( 3 \times 12 = 36 \)
2. Subtract coupon: \( 36 - 5 = 31 \)
3. Subtract from payment: \( 50 - 31 = 19 \)
Answer: $19.00
1. The school cafeteria ordered 12 boxes of apples. Each box contains 24 apples. After lunch, 45 apples were left over. How many apples were eaten during lunch?
Show Your Work
Final Answer: ________________
2. Leo is saving for a new bike that costs $180. He earned $45 mowing lawns and $30 washing cars. His grandmother gave him $25 for his birthday. How much more money does Leo need to buy the bike?
Show Your Work
Final Answer: ________________
3. A group of 4 friends went to a movie. They spent $36 on tickets and $24 on snacks. If they split the total cost equally, how much did each person pay?
Show Your Work
Final Answer: ________________
4. A baker made 8 dozen cookies. He sold 45 cookies in the morning and 32 cookies in the afternoon. How many cookies does the baker have left? (Hint: 1 dozen = 12 items)
Show Your Work
Final Answer: ________________
5. Sarah is organizing her book collection. She has 124 fiction books and 56 non-fiction books. She wants to place them equally on 6 shelves. How many books will be on each shelf?
Show Your Work
Final Answer: ________________
Division Dynamo Answer Key Answer Key
Division Dynamo Worksheet
TEACHER ONLY
1. \( 84 \div 4 \) 21
2. \( 96 \div 3 \) 32
3. \( 75 \div 5 \) 15
4. \( 48 \div 6 \) 8
5. \( 72 \div 8 \) 9
6. \( 98 \div 7 \) 14
7. \( 54 \div 9 \) 6
8. \( 84 \div 6 \) 14
9. \( 92 \div 4 \) 23
10. \( 81 \div 9 \) 9
Scoring Guide
Give 1 point for the correct quotient and 1 point for showing correct DMSB steps in the grid workspace. Total possible: 20 points.
Surface Area Safari Answer Key Answer Key
Surface Area Safari Worksheet
TEACHER ONLY
1. L:4, W:2, H:3 52 units2
2. L:6, W:5, H:4 148 units2
3. L:10, W:3, H:2 112 units2
4. L:7, W:1, H:8 142 units2
5. Cube (L:5) 150 units2
6. L:12, W:4, H:2 160 units2
7. L:9, W:3, H:6 198 units2
8. L:2, W:2, H:15 128 units2
9. L:11, W:2, H:4 148 units2
10. L:8, W:8, H:3 224 units2
Teacher Tip
Ensure students are labeling their answers with square units (units2). Check for the setup of the formula \( 2(lw + lh + wh) \) to award partial credit.
Fraction Flip Answer Key Answer Key
Fraction Flip Worksheet
TEACHER ONLY
1. \(\frac{1}{2}\) 0.5
2. \(\frac{1}{4}\) 0.25
3. \(\frac{4}{5}\) 0.8
4. \(\frac{7}{10}\) 0.7
5. \(\frac{1}{8}\) 0.125
6. \(\frac{3}{4}\) 0.75
7. \(\frac{6}{25}\) 0.24
8. \(\frac{3}{8}\) 0.375
9. \(\frac{9}{20}\) 0.45
10. \(\frac{5}{16}\) 0.3125
Note on Repeating Decimals
None of the problems in this set result in repeating decimals. Students should reach a remainder of zero in all workspaces.
Double Digit Dash Answer Key Answer Key
Double Digit Dash Worksheet
TEACHER ONLY
1. \( 24 \times 15 \) 360
2. \( 42 \times 31 \) 1,302
3. \( 56 \times 12 \) 672
4. \( 73 \times 24 \) 1,752
5. \( 38 \times 45 \) 1,710
6. \( 91 \times 17 \) 1,547
7. \( 62 \times 53 \) 3,286
8. \( 48 \times 64 \) 3,072
9. \( 85 \times 29 \) 2,465
10. \( 99 \times 88 \) 8,712
Teacher Observation
Common errors usually occur in Step 2 (forgetting the zero placeholder) or in the final addition step . If students are consistently off, check their partial products against the correct ones.
Integer Impact Answer Key Answer Key
Integer Impact Worksheet
TEACHER ONLY
1. \( -15 + (-8) \) -23
2. \( 12 - (-5) \) 17
3. \( (-6) \times 7 \) -42
4. \( (-48) \div (-8) \) 6
5. \( -20 + 35 \) 15
6. \( -14 - 9 \) -23
7. \( (-12) \times (-4) \) 48
8. \( 100 \div (-5) \) -20
9. \( (-25) + (-25) \) -50
10. \( (-9) \times 9 \) -81
Review Strategy
If students are struggling, have them use a number line for addition/subtraction. For multiplication/division, reinforce the "Same signs = positive, Different signs = negative" rule.
Decimal Drift Answer Key Answer Key
Decimal Drift Worksheet
TEACHER ONLY
1. \( 5 \times 0.15 \) 0.75
2. \( 4 \times 0.22 \) 0.88
3. \( 9 \times 0.45 \) 4.05
4. \( 7 \times 0.11 \) 0.77
5. \( 3 \times 0.75 \) 2.25
6. \( 6 \times 0.40 \) 2.4
7. \( 8 \times 0.13 \) 1.04
8. \( 2 \times 0.65 \) 1.3
9. \( 4 \times 0.99 \) 3.96
10. \( 7 \times 0.08 \) 0.56
Note on Trailing Zeros
For questions 6 and 8, students may write "2.40" or "1.30". Both are mathematically correct, though "2.4" and "1.3" are more simplified.
Word Problem Wizards Answer Key Answer Key
Word Problem Wizards Worksheet
TEACHER ONLY
1. School Cafeteria Apples
Steps: (12 × 24) = 288 | 288 - 45 = 243
Final Answer: 243 apples
2. Leo's Bike Savings
Steps: 45 + 30 + 25 = 100 | 180 - 100 = 80
Final Answer: $80.00
3. Movie Night Split
Steps: 36 + 24 = 60 | 60 ÷ 4 = 15
Final Answer: $15.00
4. Baker's Cookie Inventory
Steps: 8 × 12 = 96 | 45 + 32 = 77 | 96 - 77 = 19
Final Answer: 19 cookies
5. Sarah's Book Shelves
Steps: 124 + 56 = 180 | 180 ÷ 6 = 30
Final Answer: 30 books
* Award partial credit for correct intermediate steps even if the final calculation is slightly off.