3rd Grade Daily Math Spiral Review - Free Printable

Problem Description:

The task involves filling in the missing values in a table where each row represents a set of numbers. The goal is to determine the pattern or rule governing the sequence of numbers in each row and use it to fill in the blanks.

Table Analysis:

The table consists of rows labeled (A) through (G), with some entries filled in and others left blank. Each row contains five columns, and the task is to identify the relationship between the numbers in each row to complete the missing entries.

#### Step-by-Step Solution:

1. Row (A):
- Given: \( 3360, 875, \_, 336, \_ \)
- Observing the pattern:
- \( 3360 \div 8 = 420 \)
- \( 875 \div 5 = 175 \)
- \( 336 \div 4 = 84 \)
- The pattern appears to be dividing each number by its position in the sequence (starting from 8 for the first number, then 5, 4, etc.).
- Missing values:
- Second column: \( 875 \times 5 = 4375 \)
- Fifth column: \( 336 \times 4 = 1344 \)
- Completed row: \( 3360, 4375, 875, 336, 1344 \)

2. Row (B):
- Given: \( 792, 1120, 965, \_, 547 \)
- Observing the pattern:
- Differences between consecutive numbers:
- \( 1120 - 792 = 328 \)
- \( 965 - 1120 = -155 \)
- \( ? - 965 = ? \)
- \( 547 - ? = ? \)
- The differences do not form a simple arithmetic progression. Let's check for another pattern.
- Upon closer inspection, the pattern might involve alternating addition and subtraction of specific values.
- Missing value:
- Fourth column: \( 965 + 155 = 1120 \)
- Completed row: \( 792, 1120, 965, 1120, 547 \)

3. Row (C):
- Given: \( 1762, 1515, 1902, \_, 866 \)
- Observing the pattern:
- Differences between consecutive numbers:
- \( 1515 - 1762 = -247 \)
- \( 1902 - 1515 = 387 \)
- \( ? - 1902 = ? \)
- \( 866 - ? = ? \)
- The differences alternate in sign and magnitude.
- Missing value:
- Fourth column: \( 1902 - 387 = 1515 \)
- Completed row: \( 1762, 1515, 1902, 1515, 866 \)

4. Row (D):
- Given: \( ?, 879, 1311, 1321, ? \)
- Observing the pattern:
- Differences between consecutive numbers:
- \( 879 - ? = ? \)
- \( 1311 - 879 = 432 \)
- \( 1321 - 1311 = 10 \)
- \( ? - 1321 = ? \)
- The pattern involves increasing differences.
- Missing values:
- First column: \( 879 - 432 = 447 \)
- Fifth column: \( 1321 + 10 = 1331 \)
- Completed row: \( 447, 879, 1311, 1321, 1331 \)

5. Row (E):
- Given: \( 1524, 1027, 1090, 1312, ? \)
- Observing the pattern:
- Differences between consecutive numbers:
- \( 1027 - 1524 = -497 \)
- \( 1090 - 1027 = 63 \)
- \( 1312 - 1090 = 222 \)
- \( ? - 1312 = ? \)
- The differences increase in a non-linear manner.
- Missing value:
- Fifth column: \( 1312 + 222 = 1534 \)
- Completed row: \( 1524, 1027, 1090, 1312, 1534 \)

6. Row (F):
- Given: \( 1530, 1762, 1086, 564, ? \)
- Observing the pattern:
- Differences between consecutive numbers:
- \( 1762 - 1530 = 232 \)
- \( 1086 - 1762 = -676 \)
- \( 564 - 1086 = -522 \)
- \( ? - 564 = ? \)
- The differences alternate in sign and magnitude.
- Missing value:
- Fifth column: \( 564 + 522 = 1086 \)
- Completed row: \( 1530, 1762, 1086, 564, 1086 \)

7. Row (G):
- Given: \( 794, 1927, 618, \_, 1338 \)
- Observing the pattern:
- Differences between consecutive numbers:
- \( 1927 - 794 = 1133 \)
- \( 618 - 1927 = -1309 \)
- \( ? - 618 = ? \)
- \( 1338 - ? = ? \)
- The differences alternate in sign and magnitude.
- Missing value:
- Fourth column: \( 618 + 1309 = 1927 \)
- Completed row: \( 794, 1927, 618, 1927, 1338 \)

Final Answer:

\[
\boxed{
\begin{array}{c|ccccc}
& \text{Column 1} & \text{Column 2} & \text{Column 3} & \text{Column 4} & \text{Column 5} \\
\hline
\text{(A)} & 3360 & 4375 & 875 & 336 & 1344 \\
\text{(B)} & 792 & 1120 & 965 & 1120 & 547 \\
\text{(C)} & 1762 & 1515 & 1902 & 1515 & 866 \\
\text{(D)} & 447 & 879 & 1311 & 1321 & 1331 \\
\text{(E)} & 1524 & 1027 & 1090 & 1312 & 1534 \\
\text{(F)} & 1530 & 1762 & 1086 & 564 & 1086 \\
\text{(G)} & 794 & 1927 & 618 & 1927 & 1338 \\
\end{array}
}
\]