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Quizzes > High School Quizzes > Mathematics

Free EOG Practice Test

Boost your readiness with sample questions

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting a 5th-grade math practice quiz, Ace Your EOG, for exam preparation.

What is 457 + 243?
700
690
710
680
Adding the hundreds, tens, and ones separately gives 700. This is the correct sum of 457 and 243.
What is 823 - 539?
284
294
264
274
Subtracting 539 from 823 gives 284 after borrowing where necessary. This answer is reached by proper subtraction of each digit.
What is 12 x 9?
108
102
112
96
Multiplying 12 by 9 results in 108. This multiplication fact is essential for arithmetic fluency.
What is 144 ÷ 12?
12
14
10
16
Since 12 multiplied by 12 equals 144, dividing 144 by 12 gives 12. This division reinforces understanding of multiplication facts.
Which fraction is equivalent to 2/4?
1/2
2/3
1/3
3/4
The fraction 2/4 simplifies to 1/2 when both the numerator and denominator are divided by 2. This equivalent fraction represents the same value.
What is 3/8 + 2/8?
5/8
3/4
1
5/16
Since the denominators are the same, add the numerators: 3 + 2 equals 5. Thus, the sum is 5/8.
What is 3/5 of 10?
6
5
8
7
To find 3/5 of 10, multiply 10 by 3/5, which equals 6. This problem tests fraction multiplication with whole numbers.
Which of the following numbers is equivalent to 0.75?
3/4
1/2
7/10
2/3
The decimal 0.75 represents three-quarters, as 75 out of 100 simplifies to 3/4. Recognizing these equivalents is key in understanding decimals and fractions.
What is the perimeter of a rectangle with a length of 8 and a width of 5?
26
40
20
13
The perimeter of a rectangle is calculated by adding the lengths of all sides, which, in this case, is 2*(8+5). Therefore, you get 26 as the total perimeter.
If a pizza is divided into 8 equal slices and you eat 3 slices, what fraction of the pizza remains?
5/8
3/8
1/2
2/8
Subtracting the consumed slices from the total gives 5 remaining out of 8 slices, so the fraction left is 5/8. This problem reinforces fraction subtraction in a real-world context.
What is 1.25 + 2.75?
4.00
3.25
4.50
5.00
Adding 1.25 and 2.75 involves combining the decimal parts carefully, resulting in 4.00. Understanding decimal addition is important in practical math problems.
A baker makes 56 muffins and packs them equally into 7 boxes. How many muffins are in each box?
8
7
9
6
Dividing 56 muffins by 7 boxes gives 8 muffins per box. This division problem reinforces equal distribution concepts.
Simplify the fraction 18/24.
3/4
2/3
5/6
1/2
Dividing both the numerator and denominator of 18/24 by their greatest common factor, 6, results in 3/4. This simplification is an essential skill for working with fractions.
What is the sum of 15, 20, and 35?
70
60
65
75
Adding the three numbers together, 15 + 20 + 35, results in a sum of 70. Step-by-step addition confirms the correct total.
How many centimeters are in 3 meters?
300
30
3
0.3
Since 1 meter equals 100 centimeters, multiplying 3 by 100 gives 300 centimeters. This conversion between meters and centimeters is a fundamental metric conversion problem.
If a book has 120 pages and you read 1/4 of it on Monday and 1/3 of it on Tuesday, how many pages have you read in total?
70
60
50
80
On Monday, you read 30 pages (1/4 of 120) and on Tuesday 40 pages (1/3 of 120), making a total of 70 pages read. This problem uses fraction operations along with multiplication.
What is the area of a triangle with a base of 10 units and a height of 6 units?
30
60
35
50
The area of a triangle is calculated using the formula 1/2 × base × height. Multiplying 10 and 6 and then halving the product yields an area of 30 square units.
Round 3.786 to the nearest tenth.
3.8
3.7
3.79
3.786
When rounding to the nearest tenth, the hundredths digit (8) indicates that you should round up, resulting in 3.8. This demonstrates an application of standard rounding rules.
If a recipe calls for 2 1/2 cups of flour and you want to make 3 batches, how many cups of flour do you need?
7 1/2
7
8
6 1/2
Multiplying 2 1/2 cups by 3 yields 7 1/2 cups of flour required for the batches. This problem requires converting mixed numbers and applying multiplication.
Solve: 45 - (6 x 3) + 8.
35
27
29
32
Following the order of operations, first multiply 6 by 3, subtract the result from 45, and then add 8 to get 35. This problem reinforces the proper sequence of operations in arithmetic.
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Study Outcomes

  1. Analyze exam-style math problems to build confidence in test performance.
  2. Apply problem-solving strategies to overcome challenging questions.
  3. Understand key grade-level math concepts and their practical applications.
  4. Identify and address personal knowledge gaps based on instant feedback.
  5. Synthesize skills learned to prepare effectively for End-of-Grade assessments.

EOG Practice Test - Exam Review Cheat Sheet

  1. Master the order of operations (PEMDAS) - PEMDAS is your secret code for tackling tricky equations: start with Parentheses, move on to Exponents, then Multiply and Divide (left to right), and finish with Addition and Subtraction. Following this roadmap keeps your work neat and error‑free - no more guessing which step comes next! GreatSchools Math Guide
  2. Understand place value up to the thousandths place - Knowing that a digit's value changes depending on where it sits helps you read, write, and compare decimals like a pro. Think of each place as a seat in a stadium - the farther right you go, the smaller the number's value gets. GreatSchools Math Guide
  3. Practice adding and subtracting fractions and mixed numbers - To combine fractions with different bottoms (denominators), you'll need a common denominator - like finding a shared language for two different teams. Once you're fluent, you can add or subtract like a fraction‑whisperer! GreatSchools Math Guide
  4. Learn to multiply and divide fractions - Multiplying fractions is as easy as "multiply across" (tops times tops, bottoms times bottoms), while dividing means "invert and multiply" (flip the second fraction and carry on). Master these moves to tackle recipe tweaks, scale art projects, and more! GreatSchools Math Guide
  5. Convert units of measurement - Switching inches to feet or centimeters to meters is like swapping costumes for numbers - just know your conversion factors and you're ready for any math ball. Real‑world examples, from crafting to cooking, get way less confusing when you can magically change units on the fly. GreatSchools Math Guide
  6. Interpret data from graphs and line plots - Graphs are like picture stories of numbers: they show trends in speed, distance, temperatures, and more. Learn to read the axes, spot patterns, and answer questions faster than you can say "data detective." GreatSchools Math Guide
  7. Calculate the volume of rectangular prisms - Volume is all about how much "space" an object takes up - just multiply Length × Width × Height and voilà, you've got it. Use this formula when packing, building forts, or estimating how many toy blocks fill a box. GreatSchools Math Guide
  8. Identify and classify geometric shapes - Triangles, quadrilaterals, pentagons and beyond: each shape has its own personality like angles and side lengths. Recognizing these traits turns you into a geometry guru capable of solving puzzles and designing cool art patterns. ThoughtCo 5th Grade Math Course
  9. Solve word problems using all four operations - Word problems are like math mysteries - your job is to decode the clue words, set up the right operation (add, subtract, multiply, or divide), and unveil the answer. Drawing little sketches or labeling key numbers can turn a scary paragraph into a simple calculation. ThoughtCo 5th Grade Math Course
  10. Understand and apply perimeter and area formulas - Perimeter tells you how much fence you need, while area reveals the space inside your backyard playground. Memorize the simple formulas (like A = length × width for rectangles) and you'll be ready to plan anything from a garden to a board game layout. Docest Math EOG Study Guide
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