5th Grade Math Worksheets Free and Printable - Appletastic Learning - Free Printable

Since you did not select any specific options (ExplainAnswer, TeachTopic, or GeneratePractice are all false), I will provide the solutions to the visible problems on the worksheets directly, following the rule to work through them step-by-step first.

Here are the step-by-step solutions for the problems visible in the image:

Worksheet 1: Coordinate Graphing

1. What is the ordered pair for Day 18?
* Step 1: Find "18" on the bottom axis (Days).
* Step 2: Follow the line up from 18 to the black dot.
* Step 3: Look across to the left axis (Total Number of Necklaces) to see the value. The dot aligns with 18.
* Step 4: Write as an ordered pair $(x, y)$. Here, $x=18$ and $y=18$.
* Result: $(18, 18)$ matches option c.

2. What are the coordinates for Day 6?
* Step 1: Find "6" on the bottom axis (Days).
* Step 2: Follow the line up to the dot.
* Step 3: Look across to the left axis. The dot aligns with 10.
* Step 4: Write as $(6, 10)$.
* Result: Matches option a.

3. What are the coordinates of the day when there were 2 necklaces made?
* Step 1: Find "2" on the left axis (Necklaces).
* Step 2: Follow the line across to the right until you hit a dot.
* Step 3: Look down to the bottom axis. It aligns with Day 4.
* Step 4: Write as $(4, 2)$.
* Result: Matches option a.

4. Between which days did the amount of necklaces made stay the same?
* Step 1: Look for a flat horizontal line between two dots, meaning the y-value (necklaces) didn't change.
* Step 2: Check Day 10 (12 necklaces) and Day 12 (12 necklaces). The line between them is flat.
* Result: Days 10 & 12 match option b.

5. Between which 2 days did the amount of necklaces made decrease?
* Step 1: Look for a line that goes downwards from left to right.
* Step 2: Check Day 18 (18 necklaces) and Day 20 (16 necklaces). The value went down.
* Result: Days 18 & 20 match option c (Note: Option c says "Days 18 & 20" in the cropped text, though partially obscured, this is the only decreasing segment at the end). *Correction based on visible options:* Option c is "Days 18 & 20".

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Spiral Review Problems (Top Left)

A. Compare: $77.20 \bigcirc 77.2$
* Step 1: Align the decimal points.
* Step 2: $77.20$ is the same as $77.2$. Adding a zero at the end of a decimal does not change its value.
* Result: $=$ (Equal)

B. Circle the greatest number: $6.298, 6.5, 6.409$
* Step 1: Compare the ones place: All are 6.
* Step 2: Compare the tenths place: $2, 5, 4$.
* Step 3: 5 is the largest digit. So, 6.5 is the greatest.
* Result: 6.5

C. Circle the least number: $38.99, 328.04$ (Assuming the third number is cut off or just comparing these two visible ones, but usually there are three. Let's look closer. Ah, it looks like $38.99$ and $328.04$. Wait, looking at the layout, C is likely comparing numbers in a column. Let's assume the question asks to circle the least among visible numbers. $38.99 < 328.04$. If there is a third number like $3.89$, that would be least. Based strictly on visible text $38.99$ and $328.04$, $38.99$ is smaller. However, typically these compare similar magnitudes. Let's look at the "Spiral Review" box C again. It lists `38.99` and `328.04`. There might be a number above or below. Without the full list, I will compare the visible ones. $38.99$ is less than $328.04$.

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Worksheet 2: Classifying Quadrilaterals

1. In what way(s) can this figure be classified? (Trapezoid shape)
* Analysis: It has four sides (quadrilateral). It has exactly one pair of parallel sides (top and bottom).
* Result: Trapezoid, Quadrilateral.

2. Circle the quadrilateral(s).
* Analysis: Quadrilaterals have 4 sides.
* Parallelogram: Yes (4 sides).
* Pentagon: No (5 sides).
* Square/Rectangle: Yes (4 sides).
* Triangle: No (3 sides).
* Result: Circle the parallelogram, the square, and the rectangle.

3. Draw a trapezoid.
* Action: Draw a 4-sided shape with exactly one pair of parallel sides.

4. Circle the parallelogram(s).
* Analysis: Parallelograms have two pairs of parallel sides.
* First shape (trapezoid): No.
* Second shape (rectangle): Yes (rectangles are parallelograms).
* Third shape (trapezoid): No.
* Result: Circle the rectangle.

5. Draw a quadrilateral.
* Action: Draw any closed shape with 4 straight sides (e.g., a square, rectangle, or random 4-sided polygon).

6. In what way(s) can this figure be classified? (Parallelogram/Rhombus shape)
* Analysis: 4 sides, opposite sides parallel.
* Result: Parallelogram, Quadrilateral, Rhombus (if sides are equal).

7. Circle all the ways this shape can be classified. (Square)
* Analysis: A square is a regular quadrilateral.
* a. Square: Yes.
* b. Parallelogram: Yes.
* c. Rectangle: Yes.
* d. Trapezoid: Technically yes in inclusive definitions, but often taught as "exactly one pair" in lower grades. Usually, for squares, we check Square, Rectangle, Rhombus, Parallelogram, Quadrilateral.
* Result: Circle a, b, c. (And d if your class uses the inclusive definition of trapezoid).

8. Circle the trapezoid(s).
* Analysis: Look for shapes with exactly one pair of parallel sides.
* First shape: Yes.
* Second shape: No (pentagon).
* Third shape: Yes.
* Fourth shape: No (parallelogram).
* Result: Circle the first and third shapes.

9. Draw a rhombus.
* Action: Draw a 4-sided shape where all sides are equal length, but angles are not necessarily 90 degrees (like a tilted square).

---

Spiral Review Problems (Top Right)

A. Word form for 3,076 (Assuming the number is 3,076 based on spacing)
* Result: Three thousand, seventy-six.

B. Standard form: nine million, two thousand, eighty-three
* Step 1: Millions place: 9,000,000
* Step 2: Thousands place: 2,000
* Step 3: Ones place: 83
* Step 4: Combine: $9,000,000 + 2,000 + 83$
* Result: 9,002,083

C. Expanded form: 805,399.2
* Step 1: Break down by place value.
* Result: $800,000 + 5,000 + 300 + 90 + 9 + 0.2$

---

Worksheet 3: Multiplying Fractions

1. Zack had $\frac{1}{2}$ of a chocolate pie. He gave $\frac{2}{3}$ of that to his friend Amber. How much of the whole pie did Amber get?
* Step 1: "Of" means multiply. Calculate $\frac{2}{3} \times \frac{1}{2}$.
* Step 2: Multiply numerators: $2 \times 1 = 2$.
* Step 3: Multiply denominators: $3 \times 2 = 6$.
* Step 4: Result is $\frac{2}{6}$. Simplify by dividing top and bottom by 2.
* Result: $\frac{1}{3}$

2. Find the product and simplify: $\frac{7}{9} \times \frac{1}{3}$
* Step 1: Numerators: $7 \times 1 = 7$.
* Step 2: Denominators: $9 \times 3 = 27$.
* Result: $\frac{7}{27}$

3. The horses at Close's farm eat $\frac{1}{8}$ of a bale of hay each day. If there are 14 horses, how many bales of hay do they get?
* Step 1: Multiply the amount per horse by the number of horses: $14 \times \frac{1}{8}$.
* Step 2: $\frac{14}{8}$.
* Step 3: Simplify. Divide by 2: $\frac{7}{4}$.
* Step 4: Convert to mixed number: $4$ goes into $7$ one time with remainder $3$.
* Result: $1 \frac{3}{4}$ bales

4. Find the product and simplify: $2 \times \frac{7}{12}$
* Step 1: Rewrite 2 as $\frac{2}{1}$.
* Step 2: $\frac{2}{1} \times \frac{7}{12} = \frac{14}{12}$.
* Step 3: Simplify $\frac{14}{12}$ by dividing by 2: $\frac{7}{6}$.
* Step 4: Mixed number: $1 \frac{1}{6}$.
* Result: $1 \frac{1}{6}$

5. Multiply and simplify: $\frac{6}{8} \times \frac{1}{4}$
* Step 1: Simplify $\frac{6}{8}$ to $\frac{3}{4}$ first.
* Step 2: $\frac{3}{4} \times \frac{1}{4} = \frac{3 \times 1}{4 \times 4} = \frac{3}{16}$.
* Result: $\frac{3}{16}$ (Matches option d)

6. Find the product and simplify: $7 \times \frac{2}{6}$
* Step 1: Simplify $\frac{2}{6}$ to $\frac{1}{3}$.
* Step 2: $7 \times \frac{1}{3} = \frac{7}{3}$.
* Step 3: Mixed number: $2 \frac{1}{3}$.
* Result: $2 \frac{1}{3}$

7. What is the product? $\frac{1}{6} \times \frac{1}{4}$
* Step 1: $1 \times 1 = 1$.
* Step 2: $6 \times 4 = 24$.
* Result: $\frac{1}{24}$ (Matches option b)

8. A group of six friends each received $\frac{1}{10}$ of a pound of candy. How many pounds in total did the group receive?
* Step 1: $6 \times \frac{1}{10} = \frac{6}{10}$.
* Step 2: Simplify $\frac{6}{10}$ by dividing by 2.
* Result: $\frac{3}{5}$

9. What is the product? $\frac{4}{5} \times \frac{2}{6}$
* Step 1: Simplify $\frac{2}{6}$ to $\frac{1}{3}$.
* Step 2: $\frac{4}{5} \times \frac{1}{3} = \frac{4}{15}$.
* Result: $\frac{4}{15}$ (Matches option b... wait, let me check options. Option b is $\frac{8}{30}$ which simplifies to $\frac{4}{15}$. Option d is $\frac{8}{12}$. Let's re-read carefully. $\frac{4}{5} \times \frac{2}{6} = \frac{8}{30}$. Simplified is $\frac{4}{15}$. Looking at the options: a. $\frac{1}{2}$, b. $\frac{8}{30}$, c. $\frac{6}{11}$, d. $\frac{8}{12}$. The unsimplified answer is b.)

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Spiral Review Problems (Bottom Left)

A. Divide: $7.5 \div 0.25$
* Step 1: Move decimal two places right for both: $750 \div 25$.
* Step 2: $75 \div 25 = 3$. Add the zero back.
* Result: 30

B. Round to the nearest tenth: $4,287.56$
* Step 1: Identify tenths place: 5.
* Step 2: Look at hundredths place: 6.
* Step 3: Since $6 \geq 5$, round up the tenths place.
* Result: 4,287.6

C. Divide: $1.4 \div 0.56$
* Step 1: Move decimal two places right: $140 \div 56$.
* Step 2: $140 \div 56 = 2.5$. ($56 \times 2 = 112$, $140-112=28$, bring down 0 to make 280, $56 \times 5 = 280$).
* Result: 2.5

---

Worksheet 4: Adding and Subtracting Decimals

1. Marissa found the mass of two rocks to be 345 grams and 23.769 grams. What was the total mass?
* Step 1: Add $345 + 23.769$.
* Step 2: Align decimals:
```
345.000
+ 23.769
---------
368.769
```
* Result: 368.769 grams

2. Subtract: $83.874 - 65.23$
* Step 1: Align decimals:
```
83.874
- 65.230
--------
18.644
```
* Result: 18.644

3. A cupcake recipe calls for 1.5 cups of sugar, 3 cups of flour and 0.75 cups of oil. How many cups of ingredients will there be in the bowl total?
* Step 1: Add $1.5 + 3 + 0.75$.
* Step 2: $1.5 + 0.75 = 2.25$.
* Step 3: $2.25 + 3 = 5.25$.
* Result: 5.25 cups

4. Add: $46,773.01 + 3,554.83$
* Step 1: Align decimals and add.
```
46,773.01
+ 3,554.83
-----------
50,327.84
```
* Result: 50,327.84

5. Each person on a four-man relay team has to run 2.45 miles. What is the total distance of the race?
* Step 1: Multiply $2.45 \times 4$.
* Step 2: $2.45 \times 2 = 4.90$. $4.90 \times 2 = 9.80$.
* Result: 9.8 miles

6. Subtract: $23.89 - 4.9$
* Step 1: Align decimals:
```
23.89
- 4.90
-------
18.99
```
* Result: 18.99

7. Add: $17.64 + 8.6$
* Step 1: Align decimals:
```
17.64
+ 8.60
-------
26.24
```
* Result: 26.24 (Matches option c)

8. Solve: $629.66 - 45.72$
* Step 1: Align decimals:
```
629.66
- 45.72
--------
583.94
```
* Result: 583.94 (Matches option d)

9. Subtract: $245,873.3 - 14,788.75$
* Step 1: Align decimals:
```
245,873.30
- 14,788.75
------------
231,084.55
```
* Result: 231,084.55 (Matches option b)

---

Spiral Review Problems (Bottom Right)

A. Solve: $\frac{2}{8} + \frac{3}{8}$
* Step 1: Denominators are the same, add numerators: $2+3=5$.
* Result: $\frac{5}{8}$

B. Multiply: $428 \times 46$
* Step 1: $428 \times 6 = 2,568$.
* Step 2: $428 \times 40 = 17,120$.
* Step 3: $2,568 + 17,120 = 19,688$.
* Result: 19,688

C. Solve: $\frac{3}{7} + \frac{2}{7}$
* Step 1: Denominators are the same, add numerators: $3+2=5$.
* Result: $\frac{5}{7}$