Podcast
Questions and Answers
What is the correct result of the expression 8 + 5 - 3?
What is the correct result of the expression 8 + 5 - 3?
If 5 times a number is 35, what is the number?
If 5 times a number is 35, what is the number?
Which of the following represents a two-step problem?
Which of the following represents a two-step problem?
In a comparison problem, if Sarah has twice as many apples as Tom, and Tom has 4 apples, how many apples does Sarah have?
In a comparison problem, if Sarah has twice as many apples as Tom, and Tom has 4 apples, how many apples does Sarah have?
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What is the value of the expression 12 ÷ 4 + 5?
What is the value of the expression 12 ÷ 4 + 5?
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In a multi-step problem, if a person buys 3 packs of pencils with 10 pencils each and gives away 12 pencils, how many pencils does the person have left?
In a multi-step problem, if a person buys 3 packs of pencils with 10 pencils each and gives away 12 pencils, how many pencils does the person have left?
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If a group of children has a total of 36 candies, and if Lucy has 4 times the amount of candies as Mike, how many candies does Mike have?
If a group of children has a total of 36 candies, and if Lucy has 4 times the amount of candies as Mike, how many candies does Mike have?
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Which equation correctly models the number of books a student has if they started with 15 books, gave away 3, and then received 5 more?
Which equation correctly models the number of books a student has if they started with 15 books, gave away 3, and then received 5 more?
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In a comparison problem, if Tim has 7 more marbles than Jane, and together they have 25 marbles, how many marbles does Jane have?
In a comparison problem, if Tim has 7 more marbles than Jane, and together they have 25 marbles, how many marbles does Jane have?
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If a teacher divides 48 candies equally among 6 students, and then one student takes 3 candies for themselves, how many candies does each student have left?
If a teacher divides 48 candies equally among 6 students, and then one student takes 3 candies for themselves, how many candies does each student have left?
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Study Notes
Simple Arithmetic
- The result of the expression 8 + 5 - 3 is 10.
- To solve the expression, follow the order of operations (PEMDAS/BODMAS): first perform addition (8 + 5 = 13), then subtraction (13 - 3 = 10).
Solving for a Variable
- If 5 times a number equals 35, the number is 7. To find this, you divide 35 by 5 (35 / 5 = 7).
Two-Step Problems
- A two-step problem requires performing two mathematical operations to reach the solution.
- An example of a two-step problem could be "If a store sells apples for 1eachandyouhave1 each and you have 1eachandyouhave5, how many apples can you buy and how much change will you get?".
Comparison Problems
- A comparison problem involves comparing two quantities.
- In the scenario given, Sarah has twice as many apples as Tom, who has 4 apples. Therefore, Sarah has 8 apples (4 x 2 = 8).
Evaluating Expressions
- The value of the expression 12 ÷ 4 + 5 is 8.
- To solve this, first perform the division (12 ÷ 4 = 3), then add 5 (3 + 5 = 8).
Arithmetic Expressions
- 8 + 5 - 3 equals 10.
- 5 times a number equals 35, the number is 7 (35 divided by 5).
Two-Step Problems
- A two-step problem requires two operations to solve.
- The problem about Sarah and Tom's apples is a two-step problem.
Comparison Problems
- Sarah has twice as many apples as Tom, and Tom has 4 apples, meaning Sarah has 8 apples (4 x 2 = 8).
Multi-Step Problems
- A multi-step problem requires more than two operations to solve.
- The problem about the person buying pencils is a multi-step problem.
- 12 ÷ 4 + 5 equals 8.
Multi-Step Problems with Comparison
- A group of children has 36 candies, and Lucy has 4 times the amount of candies as Mike, meaning Mike has 9 candies (36 divided by 4 = 9).
- If a student started with 15 books, gave away 3, then received 5 more, they would have 17 books (15 - 3 + 5 = 17), this can be represented by the equation 15 - 3 + 5 = 17.
Comparison Problems with Combined Values
- Tim has 7 more marbles than Jane, and together they have 25 marbles, so Jane has 9 marbles (25 - 7 = 18, 18 / 2 = 9).
Multi-Step Problem with Equal Distribution and Subtraction
- A teacher divides 48 candies equally among 6 students, meaning each student receives 8 candies (48 divided by 6 = 8).
- If one student takes 3 candies, each student has 5 candies left (8 - 3 = 5).
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Description
Test your understanding of basic mathematical operations with this quiz designed for 5th graders. Solve simple expressions, compare quantities, and identify the nature of mathematical problems in this engaging assessment.
