4th Grade Math Worksheets for Test Prep and End of Year Review

Since you did not select any specific options (ExplainAnswer, TeachTopic, or GeneratePractice are all false), I will provide the solutions to the visible math problems in the image directly.

Here are the step-by-step solutions for the problems shown on the worksheets:

Problem 7: Use the rule to write the numbers in the pattern.
* Rule: Add 4
* First term: 6
* Step 1: $6 + 4 = 10$
* Step 2: $10 + 4 = 14$
* Step 3: $14 + 4 = 18$
* Step 4: $18 + 4 = 22$
* Pattern: 6, 10, 14, 18, 22
* Correct Option: A

Problem 8: Round 84,324 to the nearest thousands place.
* Identify the thousands digit: 4 (in 84,324) -> Wait, let's look closer. The number is 84,324.
* Ten-thousands: 8
* Thousands: 4
* Hundreds: 3
* Tens: 2
* Ones: 4
* To round to the nearest thousand, look at the digit to the right (the hundreds place), which is 3.
* Since 3 is less than 5, we keep the thousands digit the same and change the rest to zeros.
* Result: 84,000
* Correct Option: B

Problem 9: Which of the following is an equivalent fraction of $\frac{2}{7}$?
* To find an equivalent fraction, multiply the numerator and denominator by the same number.
* Let's try multiplying by 4:
* Numerator: $2 \times 4 = 8$
* Denominator: $7 \times 4 = 28$
* So, $\frac{8}{28}$ is equivalent to $\frac{2}{7}$.
* Correct Option: C

Problem 25: $597,805 - 103,051$
* Subtract the ones: $5 - 1 = 4$
* Subtract the tens: $0 - 5$ (Need to borrow). Borrow from hundreds (8 becomes 7). $10 - 5 = 5$.
* Subtract the hundreds: $7 - 0 = 7$.
* Subtract the thousands: $7 - 3 = 4$.
* Subtract the ten-thousands: $9 - 0 = 9$.
* Subtract the hundred-thousands: $5 - 1 = 4$.
* Result: 494,754
* Correct Option: D

Problem 26: Write $\frac{2}{3}$ and $\frac{3}{4}$ as a pair of fractions with common denominators.
* Find the Least Common Multiple (LCM) for 3 and 4, which is 12.
* Convert $\frac{2}{3}$: Multiply top and bottom by 4 $\rightarrow \frac{8}{12}$.
* Convert $\frac{3}{4}$: Multiply top and bottom by 3 $\rightarrow \frac{9}{12}$.
* Result: $\frac{8}{12}$ and $\frac{9}{12}$
* Correct Option: D

Problem 27: $\frac{5}{12} + \frac{7}{12}$
* Since the denominators are the same, add the numerators: $5 + 7 = 12$.
* Result: $\frac{12}{12}$
* Simplify: $\frac{12}{12} = 1$
* Correct Option: C

Problem 35: $47 \times 3$
* $7 \times 3 = 21$ (Write down 1, carry over 2)
* $4 \times 3 = 12$
* $12 + 2 (\text{carry}) = 14$
* Result: 141
* Correct Option: D

Problem 36: $\frac{3}{5} - \frac{1}{5}$
* Subtract the numerators: $3 - 1 = 2$.
* Keep the denominator the same: 5.
* Result: $\frac{2}{5}$
* Correct Option: A

Problem 37: What is the area?
* The shape is composed of two rectangles.
* Left Rectangle: Height = 5, Width = 3. Area = $5 \times 3 = 15$.
* Right Rectangle: Height = 2, Width = 3. Area = $2 \times 3 = 6$.
* Total Area = $15 + 6 = 21$.
* Correct Option: A

Problem 41: Write this mixed number as a fraction: $3 \frac{2}{7}$
* Multiply the whole number by the denominator: $3 \times 7 = 21$.
* Add the numerator: $21 + 2 = 23$.
* Place over the original denominator: $\frac{23}{7}$.
* Correct Option: D

Problem 42: Estimate the measure of angle ABC.
* A right angle is 90 degrees (like the corner of a square).
* An obtuse angle is greater than 90 degrees.
* The angle shown is clearly wider than a right angle but not a straight line (180). It looks like roughly 130-140 degrees.
* 45 and 95 are too small. 220 is too big (reflex angle).
* Correct Option: C (130 degrees)

Problem 43: What type of angle is shown below?
* The angle is less than 90 degrees (it is "sharp" or closed tight).
* Angles less than 90 degrees are called Acute.
* Correct Option: D

Problem 44: Which of the following is a rhombus?
* A rhombus is a quadrilateral with four equal sides. It often looks like a tilted square or a diamond.
* Without seeing the shapes for options A, B, C, D clearly, I cannot solve this definitively, but typically in these tests, the "diamond" shape is the rhombus.

Problem 47: $1 \frac{1}{6} \times 6$
* Convert mixed number to improper fraction: $(1 \times 6) + 1 = 7$. So, $\frac{7}{6}$.
* Multiply: $\frac{7}{6} \times 6 = \frac{42}{6}$.
* Divide: $42 \div 6 = 7$.
* Correct Option: A

Problem 48: If $\angle ACB$ measures $87^\circ$ and $\angle BCD$ measures $24^\circ$, what is the measurement of $\angle ACD$?
* From the diagram, $\angle ACD$ is the large angle made up of the two smaller angles combined.
* Add the two angles together: $87 + 24$.
* $87 + 24 = 111$.
* Correct Option: D ($111^\circ$)

Problem 49: Which 2 sides are parallel?
* Parallel lines never cross and run in the same direction.
* In the trapezoid shown:
* Side AB (top) and Side DC (bottom) appear to be horizontal and parallel.
* Side AD and Side BC are slanted and would eventually cross if extended.
* Therefore, AB and DC are parallel.
* Correct Option: B

Problem 50: $\frac{1}{14} + \frac{85}{140}$
* Find a common denominator. 14 goes into 140 exactly 10 times ($14 \times 10 = 140$).
* Convert $\frac{1}{14}$: Multiply top and bottom by 10 $\rightarrow \frac{10}{140}$.
* Add the fractions: $\frac{10}{140} + \frac{85}{140} = \frac{95}{140}$.
* Simplify the fraction. Both end in 0 or 5, so divide by 5.
* $95 \div 5 = 19$
* $140 \div 5 = 28$
* Result: $\frac{19}{28}$
* Correct Option: C

Final Answer:
7: A
8: B
9: C
25: D
26: D
27: C
35: D
36: A
37: A
41: D
42: C
43: D
47: A
48: D
49: B
50: C