Grade 3 Arithmetic Test Worksheet with various math exercises.

Arithmetic Test: Grade 3, Unit 1

Below is the step-by-step solution to each problem in the provided worksheet. I will explain the reasoning for each part.

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#### Section 1: Write the sums and remainders

##### Problem 1
- Perform the addition and write the results.
- \( 7 + 8 = 15 \)
- \( 9 + 8 = 17 \)
- \( 8 + 5 = 13 \)
- \( 21 + 6 = 27 \)
- \( 74 + 9 = 83 \)
- \( 38 + 4 = 42 \)
- \( 37 + 2 = 39 \)
- \( 59c + 3c = 62c \)

##### Problem 2
- Perform the addition and write the results.
- \( 6 + 5 = 11 \)
- \( 7 + 6 = 13 \)
- \( 5 + 0 = 5 \)
- \( 6 + 1 = 7 \)
- \( 8 + 2 = 10 \)
- \( 7 + 1 = 8 \)
- \( 1 + 1 = 2 \)
- \( 6c + 1c = 7c \)

##### Problem 3
- Perform the subtraction and write the results.
- \( 15 - 8 = 7 \)
- \( 16 - 7 = 9 \)
- \( 59 - 4 = 55 \)
- \( 89 - 8 = 81 \)
- \( 48 - 5 = 43 \)
- \( 96 - 2 = 94 \)
- \( 36c - 3c = 33c \)
- \( 27c - 4c = 23c \)

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#### Section 2: Fill in the missing numbers

##### Problem 4
- Solve the equations:
- \( 23 + 8 = 31 \)
- \( 32 + 6 = 38 \)
- \( 4 + 6 = 10 \) (since \( 10 - 4 = 6 \))
- \( 8 + 5 = 13 \) (since \( 13 - 5 = 8 \))

##### Problem 5
- Solve the equations:
- \( 17 - 9 = 8 \)
- \( 14 - 8 = 6 \) (since \( 6 + 8 = 14 \))
- \( 15 - 0 = 15 \)
- \( 13 - 7 = 6 \) (since \( 13 - 6 = 7 \))

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#### Section 3: Follow the directions for the numbers below

##### Problem 6
- Analyze the numbers: \( 526 \), \( 983 \), \( 730 \)
- a. Circle each number that is in hundreds' place:
- In \( 526 \), the hundreds' place is \( 5 \).
- In \( 983 \), the hundreds' place is \( 9 \).
- In \( 730 \), the hundreds' place is \( 7 \).
- Circled numbers: \( 5 \), \( 9 \), \( 7 \).

- b. Underline each number in ones' place:
- In \( 526 \), the ones' place is \( 6 \).
- In \( 983 \), the ones' place is \( 3 \).
- In \( 730 \), the ones' place is \( 0 \).
- Underlined numbers: \( 6 \), \( 3 \), \( 0 \).

- c. Put an X on each number in tens' place:
- In \( 526 \), the tens' place is \( 2 \).
- In \( 983 \), the tens' place is \( 8 \).
- In \( 730 \), the tens' place is \( 3 \).
- Marked numbers with X: \( 2 \), \( 8 \), \( 3 \).

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#### Section 4: Geometry

##### Problem 7
- Divide the square into halves: Draw a diagonal line from one corner of the square to the opposite corner.
- Circle the triangle: Identify the triangle in the image and circle it.

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#### Section 5: Show the correct times on the clocks

##### Problem 8
- Clock 1: The time is \( 8:00 \). The hour hand points at 8, and the minute hand points at 12.
- Clock 2: The time is "half past 2," which is \( 2:30 \). The hour hand is halfway between 2 and 3, and the minute hand points at 6.

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#### Section 6: Fill in the counting numbers

##### Problem 9
- Identify the pattern in each sequence and fill in the missing numbers.
- a. Sequence: \( 27, 30, \_, \_, \_ \)
- Pattern: Increase by 3.
- Missing numbers: \( 33, 36, 39 \)
- b. Sequence: \( 55, \_, 75, \_, \_ \)
- Pattern: Increase by 10.
- Missing numbers: \( 65, 85, 95 \)
- c. Sequence: \( 30, 35, \_, \_, \_ \)
- Pattern: Increase by 5.
- Missing numbers: \( 40, 45, 50 \)
- d. Sequence: \( 16, \_, \_, 22 \)
- Pattern: Increase by 2.
- Missing numbers: \( 18, 20 \)
- e. Sequence: \( 27, 29, \_, \_, \_ \)
- Pattern: Increase by 2.
- Missing numbers: \( 31, 33, 35 \)

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Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Problem 1: } 15, 17, 13, 27, 83, 42, 39, 62c \\
\text{Problem 2: } 11, 13, 5, 7, 10, 8, 2, 7c \\
\text{Problem 3: } 7, 9, 55, 81, 43, 94, 33c, 23c \\
\text{Problem 4: } 31, 38, 6, 8 \\
\text{Problem 5: } 8, 14, 15, 7 \\
\text{Problem 6: } \text{Circled: } 5, 9, 7; \text{Underlined: } 6, 3, 0; \text{Marked with X: } 2, 8, 3 \\
\text{Problem 7: } \text{Square divided into halves, triangle circled} \\
\text{Problem 8: } 8:00, 2:30 \\
\text{Problem 9: } \\
\quad \text{a. } 33, 36, 39 \\
\quad \text{b. } 65, 85, 95 \\
\quad \text{c. } 40, 45, 50 \\
\quad \text{d. } 18, 20 \\
\quad \text{e. } 31, 33, 35
\end{array}
}
\]