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5th Grade Math EOG Practice Quiz

Boost skills with fun, engaging practice questions

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Paper art promoting the engaging Ace 5th Grade Math quiz for fifth-graders.

Easy
What is 456 + 789?
1356
1234
1345
1245
Adding 456 and 789 correctly results in 1245. This is found by combining the hundreds, tens, and ones. The calculation reinforces basic addition skills.
What is 60 ÷ 5?
10
12
8
15
Dividing 60 by 5 gives 12 because 5 multiplied by 12 equals 60. This basic division problem strengthens understanding of equal grouping.
Which fraction is equivalent to 1/2?
4/5
3/5
1/3
2/4
Multiplying both the numerator and denominator of 1/2 by the same number (in this case 2) gives 2/4, which is equivalent to 1/2. This demonstrates an understanding of equivalent fractions.
What is the perimeter of a square with a side length of 5 units?
15 units
20 units
10 units
25 units
A square has four equal sides, so multiplying the side length (5 units) by 4 yields a perimeter of 20 units. This problem reinforces the concept of perimeter in geometry.
If you have 3 groups of 4 apples, how many apples do you have in total?
3
7
12
14
Multiplying the number of groups (3) by the number of apples in each group (4) gives a total of 12 apples. This illustrates the concept of multiplication as repeated addition.
Medium
What is 125 x 8?
1150
900
1000
1100
Multiplying 125 by 8 results in 1000, which can be quickly computed by recognizing that 125 is one-eighth of 1000. This exercise helps improve multiplication fluency.
Which fraction is equivalent to 0.75?
3/5
3/4
1/2
4/5
0.75 can be written as 75/100, which simplifies to 3/4 after dividing numerator and denominator by 25. This conversion reinforces the relationship between decimals and fractions.
Solve: 45 - 12 + 8. What is the result?
44
40
43
41
Subtracting 12 from 45 gives 33, and then adding 8 results in 41. This problem emphasizes the importance of performing operations in order.
What is the area of a rectangle with a length of 7 units and a width of 3 units?
20 square units
24 square units
21 square units
18 square units
The area is calculated by multiplying the length by the width: 7 times 3 equals 21 square units. This reinforces the formula for the area of a rectangle.
A pizza is divided into 8 equal slices. If you eat 3 slices, what fraction of the pizza is left?
1/2
3/5
3/8
5/8
After eating 3 out of 8 slices, 5 slices remain, giving the fraction 5/8 of the pizza. This real-world problem applies the concept of fractions to everyday situations.
Which digit is a possible last digit for a number divisible by 5?
3
5
2
7
A number divisible by 5 ends in either 0 or 5. Among the options provided, only 5 is a valid ending digit for a number that is divisible by 5.
What is 2/3 of 18?
12
10
18
6
To find 2/3 of 18, multiply 18 by 2 to get 36 and then divide by 3, which results in 12. This exercise supports the understanding of multiplying fractions with whole numbers.
If 4 notebooks cost $12, what is the cost of 7 notebooks at the same rate?
$24
$19
$21
$18
First determine the cost per notebook by dividing $12 by 4, which is $3 per notebook. Then multiply $3 by 7 to find that 7 notebooks cost $21.
Which of the following quadrilaterals has exactly one pair of parallel sides?
Square
Trapezoid
Rectangle
Parallelogram
A trapezoid is defined as a quadrilateral with exactly one pair of parallel sides. This property differentiates it from rectangles and squares, which have two pairs of parallel sides.
Convert 0.5 to a fraction in simplest form.
1/3
1/2
2/5
5/10
0.5 can be written as 5/10, which simplifies to 1/2 when divided by the common factor 5. This conversion reinforces the skill of expressing decimals as simplified fractions.
Hard
Solve: 3/4 of 32 minus 5. What is the result?
18
20
17
19
First, calculate 3/4 of 32 which is 24, then subtract 5 to get 19. This problem requires both fractional multiplication and subtraction, reinforcing multi-step problem solving.
A rectangle's length is twice its width. If the perimeter is 36 units, what is the area?
90 square units
36 square units
72 square units
60 square units
Let the width be w; then the length is 2w. Using the perimeter formula, 2(w + 2w) = 36 leads to w = 6, so the area is 6 x 12 = 72 square units. This question combines algebra with geometry.
A number, when divided by 7, gives a quotient of 8 and a remainder of 3. What is the number?
59
62
57
61
By the division algorithm, the number equals (7 × 8) + 3, which is 56 + 3 = 59. This problem tests the understanding of remainders in division.
If a car travels 60 miles per hour, how many miles will it travel in 2 hours and 30 minutes?
160 miles
120 miles
135 miles
150 miles
Convert 30 minutes to 0.5 hours so that the total time is 2.5 hours. Multiplying 2.5 hours by 60 miles per hour results in 150 miles, illustrating time conversion and multiplication.
A school library has 5 shelves. If each shelf holds 24 books, but 2 shelves are half-filled, how many books are there in total?
100
84
96
90
Three shelves are full, contributing 3 × 24 = 72 books, and two shelves are half-filled, each holding 12 books, totaling 24. Adding these together gives 72 + 24 = 96 books, requiring both multiplication and addition skills.
0
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Study Outcomes

  1. Understand fundamental arithmetic concepts and operations.
  2. Apply problem-solving strategies to multi-step math problems.
  3. Analyze numerical relationships in data and equations.
  4. Evaluate performance to identify areas for improvement.
  5. Demonstrate confidence in applying math skills to standardized tests.

Math EOG 5th Grade Practice Cheat Sheet

  1. Master the Order of Operations with PEMDAS - Dive into the fun of PEMDAS to solve tricky expressions in the right sequence. Always tackle Parentheses first, then Exponents, Multiplication and Division (left to right), and wrap up with Addition and Subtraction (left to right). This trick keeps your math neat and mistakes at bay! 7 Most Important Math Concepts Kids Learn in 5th Grade
  2. 7 Most Important Math Concepts Kids Learn in 5th Grade
  3. Fluency in Adding and Subtracting Fractions - Become a fraction whiz by finding common denominators before you add or subtract. Converting 1/4 to 2/8 before adding it to 3/8 gives you a smooth 5/8 every time. With practice, you'll breeze through fraction problems like a pro! 7 Most Important Math Concepts Kids Learn in 5th Grade
  4. 7 Most Important Math Concepts Kids Learn in 5th Grade
  5. Multiply and Divide Fractions - Multiplying fractions is as easy as multiplying tops and bottoms separately, and for division, just flip the second fraction and multiply. For instance, 2/3 ÷ 3/5 becomes 2/3 × 5/3 = 10/9. Practice a few examples and you'll never forget the flip-and-multiply rule! 7 Most Important Math Concepts Kids Learn in 5th Grade
  6. 7 Most Important Math Concepts Kids Learn in 5th Grade
  7. Understand Place Value for Whole Numbers and Decimals - Get to know each digit's power in multi-digit numbers and decimals down to the hundredths place. This skill helps you compare, round, and perform operations with confidence. Think of place value as the secret code to unlocking all number puzzles! 5th Grade Math Resources Online | Math Chimp
  8. 5th Grade Math Resources Online | Math Chimp
  9. Grasp Volume of 3D Shapes - Picture a rectangular prism and multiply its length × width × height to find the space it holds. For example, a block 4 units by 2 units by 3 units has a volume of 24 cubic units. It's like stacking cubes - count them all to see how much room they take! 7 Most Important Math Concepts Kids Learn in 5th Grade
  10. 7 Most Important Math Concepts Kids Learn in 5th Grade
  11. Graph Points on the Coordinate Plane - Learn to plot (x, y) pairs on the grid by moving along the horizontal (x) and vertical (y) axes. This skill turns word problems into visual puzzles you can solve with a few dots and lines. Soon you'll connect the dots like a cartographer mapping new worlds! 5th Grade Math Resources Online | Math Chimp
  12. 5th Grade Math Resources Online | Math Chimp
  13. Classify Two-Dimensional Figures - Sort shapes by counting sides, comparing side lengths, and measuring angles. You'll spot isosceles, right, and equilateral triangles, plus squares, rectangles, and more quadrilaterals in no time. It's like becoming a detective for polygons! 5th Grade Math Resources Online | Math Chimp
  14. 5th Grade Math Resources Online | Math Chimp
  15. Convert Measurement Units - Switch between inches and feet or grams and kilograms to solve real-life puzzles, like measuring furniture or baking recipes. Knowing that 12 inches = 1 foot or 1,000 g = 1 kg saves the day in many scenarios. It's a handy toolkit for everyday adventures! 5th Grade Math Resources Online | Math Chimp
  16. 5th Grade Math Resources Online | Math Chimp
  17. Analyze Patterns and Relationships - Spot number or shape sequences by looking for repeating rules or growing trends. Recognizing that 2, 4, 6, 8… always adds two helps you predict the next in line. This algebraic thinking skill is like cracking a secret code! 5th Grade Math Resources Online | Math Chimp
  18. 5th Grade Math Resources Online | Math Chimp
  19. Write and Interpret Numerical Expressions - Turn word problems into math by translating phrases into symbols - "sum" becomes + and "product" becomes ×. Then flip it around to explain your solution in words. It's like speaking two languages and bridging them with numbers! 5th Grade Math Resources Online | Math Chimp
  20. 5th Grade Math Resources Online | Math Chimp
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