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Quizzes > High School Quizzes > Mathematics

8th Grade Division Practice Quiz

Practice and master division problems confidently

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art depicting Divide Conquer math quiz for middle and high school students.

Easy
What is 12 ÷ 3?
4
3
5
6
Dividing 12 by 3 gives 4 because 3 multiplied by 4 equals 12. This is a basic division fact that lays the foundation for more complex problems.
What is the quotient when 20 is divided by 4?
5
4
6
8
20 divided by 4 equals 5 because 4 times 5 equals 20. This simple division problem reinforces basic multiplication facts.
What is the result when 15 is divided by 5?
3
4
2
5
15 divided by 5 equals 3 because 5 multiplied by 3 equals 15. This problem utilizes simple division to build confidence.
What is 0 divided by 7?
0
1
7
Undefined
Dividing 0 by any nonzero number yields 0 because there is nothing to distribute among the groups. This reinforces the rule that 0 divided by a number is always 0.
What is the answer to 8 ÷ 2?
4
2
6
8
Since 2 multiplied by 4 equals 8, the quotient of 8 ÷ 2 is 4. This is a fundamental division problem to ensure basic comprehension.
Medium
What is the quotient of 91 divided by 7?
12
13
14
15
Since 7 multiplied by 13 equals 91, the quotient is 13. This problem reinforces the concept of multiplication as the inverse process of division.
Divide 144 by 12. What is the result?
10
11
12
13
Since 12 multiplied by 12 equals 144, dividing 144 by 12 yields 12. Understanding perfect squares helps in solving such division problems.
What is the value of 56 ÷ 8?
6
7
8
9
Dividing 56 by 8 gives 7 because 8 multiplied by 7 equals 56. This problem tests the student's fluency with basic division facts.
Calculate 45 ÷ 5.
8
9
10
7
Because 5 multiplied by 9 equals 45, the quotient is 9. This reinforces the link between multiplication and division.
What is 100 ÷ 10?
5
10
15
20
Since 10 multiplied by 10 equals 100, the quotient is 10. This question tests the understanding of division using round numbers.
When 29 is divided by 4, what is the integer quotient?
6
7
8
4
29 divided by 4 gives 7 as the whole number quotient since 4 multiplied by 7 equals 28 and there is a remainder. This question emphasizes the concept of integer division.
What is the result of 132 ÷ 11?
11
12
13
14
Since 11 multiplied by 12 equals 132, the quotient is 12. This helps students connect multiplication facts with division operations.
If 56 divided by a number equals 8, what is that number?
6
7
8
9
Dividing 56 by 7 gives 8, so the unknown divisor is 7. This reverses the division process to find the missing factor.
Calculate 125 ÷ 25.
4
5
6
7
Because 25 multiplied by 5 equals 125, dividing 125 by 25 gives 5. This reinforces understanding of division as the inverse of multiplication.
How many times does 3 go into 27?
8
9
10
12
Since 3 multiplied by 9 equals 27, 3 goes into 27 exactly 9 times. This familiar fact solidifies basic division principles.
Hard
What is 144 ÷ 0.25?
576
144
360
288
Dividing by 0.25 is equivalent to multiplying by 4, so 144 multiplied by 4 equals 576. This problem requires understanding division with decimals.
What is the value of (3/4) ÷ (1/8)?
2
3
6
8
Dividing by a fraction is the same as multiplying by its reciprocal. Here, (3/4) multiplied by 8 gives 6.
Simplify 2x ÷ 4 when x = 6.
2
3
4
6
Substituting x = 6 gives 2 × 6 = 12, and dividing 12 by 4 results in 3. This problem blends simple algebra with division.
A baker divides 72 cookies equally among 9 trays. How many cookies does each tray receive?
7
8
9
10
Dividing 72 by 9 gives 8, meaning each tray gets 8 cookies. This word problem applies division in a real-world context.
If it takes 15 minutes to complete one task, how many tasks can be completed in 75 minutes?
3
4
5
6
Dividing 75 minutes by 15 minutes per task results in 5 tasks. This problem demonstrates how division can be used to allocate time efficiently.
0
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Study Outcomes

  1. Understand the fundamental principles of multi-digit division.
  2. Analyze complex division problems by breaking them into manageable components.
  3. Apply long division techniques to effectively solve division challenges.
  4. Evaluate various problem-solving strategies to choose the most efficient method.
  5. Demonstrate proficiency in checking division work for accuracy and completeness.

8th Grade Division Problems Cheat Sheet

  1. Division Basics - Think of division as sharing cookies with friends: you split a big pile into equal-sized shares so nobody feels left out. When you divide 12 apples among 4 pals, each lucky friend ends up with 3 apples! Getting this foundation down makes more advanced tricks a breeze. Two Types of Division Problems
  2. Multiplication Connection - Division and multiplication are best buddies: knowing that 3 × 4 = 12 instantly tells you 12 ÷ 4 = 3. This relationship turns tricky division problems into quick mental math wins. Use this secret handshake to speed through your homework! Do You Teach These 4 Important Division Strategies?
  3. Partial Quotients Method - Break big division challenges into bite‑sized chunks by subtracting multiples of your divisor step by step. For example, 132 ÷ 8 can be tackled by taking away 80 (10 groups) then 40 (5 groups), and finally the last 12 (1 group). Add up those groups (10 + 5 + 1 = 16) and you've got your quotient! Chunking (division)
  4. Area Model Visualization - Draw a rectangle to split your dividend into smaller "area" pieces that match times-tables you know. This picture-perfect approach links division to multiplication and sharpens your place-value superpowers. You'll see those numbers arrange themselves neatly in no time! Division Strategies Progression
  5. "Multiplying Up" Strategy - Instead of guessing how many times a divisor fits, start with a friendly estimate and then "multiply up" to refine. If you think 8 goes into 132 about 10 times, see that 8 × 10 = 80, then add another 5 groups (8 × 5 = 40), and so on. You'll flex your number sense and estimation muscles with every problem. Shannon's Sequence of Division Strategies
  6. Real-World Word Problems - Turn division into a detective game by solving everyday scenarios: How many pizzas do you need for 24 guests if each pizza has 8 slices? Word problems make math come alive and reinforce why you're learning these skills. Practice regularly and watch your confidence skyrocket! Problem Solving on Division
  7. Multiplication Fact Fluency - Rapid-fire recall of facts like 6 × 7 = 42 is the secret weapon that demolishes division roadblocks. When you instantly know your times tables, 42 ÷ 7 becomes child's play. Spend a few minutes a day on flash cards or apps to keep those facts sharp! Effective Strategies to Teach Division
  8. Hands-On Manipulatives - Grab base-ten blocks, place-value chips, or even LEGO bricks to model your division problems in real life. Nothing beats moving pieces around to see how groups form and remainders happen. This tactile approach sticks in your brain better than abstract numbers on a page. Effective Strategies to Teach Division
  9. Division with Remainders - Sometimes numbers don't split evenly, and that leftover piece is called a remainder. For instance, 10 ÷ 3 is 3 with 1 leftover (because 3 × 3 = 9, and 10 - 9 = 1). Embrace remainders - they're just part of the division adventure! Two Types of Division Problems
  10. Verify with Inverse - Always check your answer by reversing the operation: multiply your quotient by the divisor, then add any remainder. If it matches the dividend, you're golden! This final step is your built-in error detector. Effective Strategies to Teach Division
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