Daily Math Review for 5th Grade – Week 1 worksheet with math exercises for Monday, Tuesday, and Wednesday.
Educational worksheet: 5th Grade Math Review Worksheet | Worksheets Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: 5th Grade Math Review Worksheet | Worksheets Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Math Review Worksheet | Worksheets Worksheets
Let's solve the problems step by step as presented in the image.
---
#### 1. Solve:
- 5 × (3 + 4) =
- First, solve the expression inside the parentheses: \( 3 + 4 = 7 \).
- Then multiply: \( 5 \times 7 = 35 \).
- Answer: \( 35 \)
- 15 − (24 ÷ 2) =
- First, solve the division inside the parentheses: \( 24 ÷ 2 = 12 \).
- Then subtract: \( 15 - 12 = 3 \).
- Answer: \( 3 \)
#### 2. Write this number in standard form:
- 80 + 2 + 0.3
- Add the numbers together: \( 80 + 2 + 0.3 = 82.3 \).
- Answer: \( 82.3 \)
#### 3. Solve:
- \( \frac{1}{4} + \frac{1}{2} \)
- Find a common denominator for the fractions. The least common denominator of 4 and 2 is 4.
- Rewrite \( \frac{1}{2} \) as \( \frac{2}{4} \).
- Add the fractions: \( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \).
- Answer: \( \frac{3}{4} \)
#### 4. If three people share \( \frac{1}{2} \) pound of peanuts, how much will each person have?
- Divide \( \frac{1}{2} \) pound by 3: \( \frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \).
- Answer: \( \frac{1}{6} \) pound
---
#### 1. Write an expression for this statement:
- Add 7 and 3, then divide by 2.
- Add 7 and 3: \( 7 + 3 \).
- Divide the result by 2: \( \frac{7 + 3}{2} \).
- Answer: \( \frac{7 + 3}{2} \)
#### 2. Round each number to the nearest whole:
- 5.823
- The digit in the tenths place is 8, which is greater than or equal to 5, so round up.
- Answer: \( 6 \)
- 3.477
- The digit in the tenths place is 4, which is less than 5, so round down.
- Answer: \( 3 \)
#### 3. Solve:
- 5 meters = ______ centimeters
- 1 meter = 100 centimeters.
- Multiply: \( 5 \times 100 = 500 \).
- Answer: \( 500 \) centimeters
- 4 kilograms = ______ grams
- 1 kilogram = 1000 grams.
- Multiply: \( 4 \times 1000 = 4000 \).
- Answer: \( 4000 \) grams
#### 4. Amy ate \( \frac{1}{3} \) of a pizza and Bob ate \( \frac{1}{2} \) of the pizza. What fraction of the pizza did they eat in all?
- Add the fractions: \( \frac{1}{3} + \frac{1}{2} \).
- Find a common denominator. The least common denominator of 3 and 2 is 6.
- Rewrite \( \frac{1}{3} \) as \( \frac{2}{6} \) and \( \frac{1}{2} \) as \( \frac{3}{6} \).
- Add the fractions: \( \frac{2}{6} + \frac{3}{6} = \frac{5}{6} \).
- Answer: \( \frac{5}{6} \)
---
#### 1. Generate two numerical patterns:
- Pattern 1: Add 2
- Start with \( x = 0 \): \( y = 0 + 2 = 2 \).
- Start with \( x = 1 \): \( y = 1 + 2 = 3 \).
- Start with \( x = 2 \): \( y = 2 + 2 = 4 \).
- Start with \( x = 3 \): \( y = 3 + 2 = 5 \).
| \( x \) | \( y \) |
|---------|---------|
| 0 | 2 |
| 1 | 3 |
| 2 | 4 |
| 3 | 5 |
- Pattern 2: Add 3
- Start with \( x = 0 \): \( y = 0 + 3 = 3 \).
- Start with \( x = 1 \): \( y = 1 + 3 = 4 \).
- Start with \( x = 2 \): \( y = 2 + 3 = 5 \).
- Start with \( x = 3 \): \( y = 3 + 3 = 6 \).
| \( x \) | \( y \) |
|---------|---------|
| 0 | 3 |
| 1 | 4 |
| 2 | 5 |
| 3 | 6 |
#### 2. Form ordered pairs:
- Use the values from the patterns above.
- For Pattern 1: \( (0, 2), (1, 3), (2, 4), (3, 5) \).
- For Pattern 2: \( (0, 3), (1, 4), (2, 5), (3, 6) \).
#### 3. Graph the ordered pairs:
- Plot the points on a coordinate grid:
- For Pattern 1: Plot \( (0, 2), (1, 3), (2, 4), (3, 5) \).
- For Pattern 2: Plot \( (0, 3), (1, 4), (2, 5), (3, 6) \).
---
- Monday:
- \( 35 \)
- \( 3 \)
- \( 82.3 \)
- \( \frac{3}{4} \)
- \( \frac{1}{6} \)
- Tuesday:
- \( \frac{7 + 3}{2} \)
- \( 6 \)
- \( 3 \)
- \( 500 \)
- \( 4000 \)
- \( \frac{5}{6} \)
- Wednesday:
- Patterns:
- Add 2: \( (0, 2), (1, 3), (2, 4), (3, 5) \)
- Add 3: \( (0, 3), (1, 4), (2, 5), (3, 6) \)
- Ordered pairs:
- Add 2: \( (0, 2), (1, 3), (2, 4), (3, 5) \)
- Add 3: \( (0, 3), (1, 4), (2, 5), (3, 6) \)
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Monday: } 35, 3, 82.3, \frac{3}{4}, \frac{1}{6} \\
\text{Tuesday: } \frac{7 + 3}{2}, 6, 3, 500, 4000, \frac{5}{6} \\
\text{Wednesday: } \text{Patterns and ordered pairs as shown above.}
\end{array}
}
\]
---
Monday
#### 1. Solve:
- 5 × (3 + 4) =
- First, solve the expression inside the parentheses: \( 3 + 4 = 7 \).
- Then multiply: \( 5 \times 7 = 35 \).
- Answer: \( 35 \)
- 15 − (24 ÷ 2) =
- First, solve the division inside the parentheses: \( 24 ÷ 2 = 12 \).
- Then subtract: \( 15 - 12 = 3 \).
- Answer: \( 3 \)
#### 2. Write this number in standard form:
- 80 + 2 + 0.3
- Add the numbers together: \( 80 + 2 + 0.3 = 82.3 \).
- Answer: \( 82.3 \)
#### 3. Solve:
- \( \frac{1}{4} + \frac{1}{2} \)
- Find a common denominator for the fractions. The least common denominator of 4 and 2 is 4.
- Rewrite \( \frac{1}{2} \) as \( \frac{2}{4} \).
- Add the fractions: \( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \).
- Answer: \( \frac{3}{4} \)
#### 4. If three people share \( \frac{1}{2} \) pound of peanuts, how much will each person have?
- Divide \( \frac{1}{2} \) pound by 3: \( \frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \).
- Answer: \( \frac{1}{6} \) pound
---
Tuesday
#### 1. Write an expression for this statement:
- Add 7 and 3, then divide by 2.
- Add 7 and 3: \( 7 + 3 \).
- Divide the result by 2: \( \frac{7 + 3}{2} \).
- Answer: \( \frac{7 + 3}{2} \)
#### 2. Round each number to the nearest whole:
- 5.823
- The digit in the tenths place is 8, which is greater than or equal to 5, so round up.
- Answer: \( 6 \)
- 3.477
- The digit in the tenths place is 4, which is less than 5, so round down.
- Answer: \( 3 \)
#### 3. Solve:
- 5 meters = ______ centimeters
- 1 meter = 100 centimeters.
- Multiply: \( 5 \times 100 = 500 \).
- Answer: \( 500 \) centimeters
- 4 kilograms = ______ grams
- 1 kilogram = 1000 grams.
- Multiply: \( 4 \times 1000 = 4000 \).
- Answer: \( 4000 \) grams
#### 4. Amy ate \( \frac{1}{3} \) of a pizza and Bob ate \( \frac{1}{2} \) of the pizza. What fraction of the pizza did they eat in all?
- Add the fractions: \( \frac{1}{3} + \frac{1}{2} \).
- Find a common denominator. The least common denominator of 3 and 2 is 6.
- Rewrite \( \frac{1}{3} \) as \( \frac{2}{6} \) and \( \frac{1}{2} \) as \( \frac{3}{6} \).
- Add the fractions: \( \frac{2}{6} + \frac{3}{6} = \frac{5}{6} \).
- Answer: \( \frac{5}{6} \)
---
Wednesday
#### 1. Generate two numerical patterns:
- Pattern 1: Add 2
- Start with \( x = 0 \): \( y = 0 + 2 = 2 \).
- Start with \( x = 1 \): \( y = 1 + 2 = 3 \).
- Start with \( x = 2 \): \( y = 2 + 2 = 4 \).
- Start with \( x = 3 \): \( y = 3 + 2 = 5 \).
| \( x \) | \( y \) |
|---------|---------|
| 0 | 2 |
| 1 | 3 |
| 2 | 4 |
| 3 | 5 |
- Pattern 2: Add 3
- Start with \( x = 0 \): \( y = 0 + 3 = 3 \).
- Start with \( x = 1 \): \( y = 1 + 3 = 4 \).
- Start with \( x = 2 \): \( y = 2 + 3 = 5 \).
- Start with \( x = 3 \): \( y = 3 + 3 = 6 \).
| \( x \) | \( y \) |
|---------|---------|
| 0 | 3 |
| 1 | 4 |
| 2 | 5 |
| 3 | 6 |
#### 2. Form ordered pairs:
- Use the values from the patterns above.
- For Pattern 1: \( (0, 2), (1, 3), (2, 4), (3, 5) \).
- For Pattern 2: \( (0, 3), (1, 4), (2, 5), (3, 6) \).
#### 3. Graph the ordered pairs:
- Plot the points on a coordinate grid:
- For Pattern 1: Plot \( (0, 2), (1, 3), (2, 4), (3, 5) \).
- For Pattern 2: Plot \( (0, 3), (1, 4), (2, 5), (3, 6) \).
---
Final Answers:
- Monday:
- \( 35 \)
- \( 3 \)
- \( 82.3 \)
- \( \frac{3}{4} \)
- \( \frac{1}{6} \)
- Tuesday:
- \( \frac{7 + 3}{2} \)
- \( 6 \)
- \( 3 \)
- \( 500 \)
- \( 4000 \)
- \( \frac{5}{6} \)
- Wednesday:
- Patterns:
- Add 2: \( (0, 2), (1, 3), (2, 4), (3, 5) \)
- Add 3: \( (0, 3), (1, 4), (2, 5), (3, 6) \)
- Ordered pairs:
- Add 2: \( (0, 2), (1, 3), (2, 4), (3, 5) \)
- Add 3: \( (0, 3), (1, 4), (2, 5), (3, 6) \)
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Monday: } 35, 3, 82.3, \frac{3}{4}, \frac{1}{6} \\
\text{Tuesday: } \frac{7 + 3}{2}, 6, 3, 500, 4000, \frac{5}{6} \\
\text{Wednesday: } \text{Patterns and ordered pairs as shown above.}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 5th grade math review worksheets.