Basic Mathematical Operations
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Questions and Answers

A baker makes 3 batches of cookies. Each batch requires 7 minutes of baking time. If the baker starts baking at 2:00 PM, at what time will all the cookies be finished baking, assuming no breaks between batches?

  • 2:21 PM (correct)
  • 2:14 PM
  • 2:28 PM
  • 2:35 PM

A group of friends is planning a picnic. They have 36 sandwiches and want to divide them equally among the 9 people attending. Additionally, they have 27 bottles of juice, also to be divided equally. How many sandwiches and juice bottles will each person receive?

  • 3 sandwiches and 4 juice bottles
  • 5 sandwiches and 2 juice bottles
  • 4 sandwiches and 2 juice bottles
  • 4 sandwiches and 3 juice bottles (correct)

A farmer plants apple trees in rows. He plants 6 rows with 11 trees in each row. If he wants to add 2 more rows with the same number of trees in each, how many apple trees will he have in total?

  • 77 trees
  • 99 trees
  • 66 trees
  • 88 trees (correct)

A class is collecting cans for a recycling project. On Monday, they collect 45 cans. On Tuesday, they collect 15 fewer cans than on Monday. On Wednesday, they collect twice as many cans as on Tuesday. What is the total number of cans collected over the three days?

<p>165 cans (D)</p> Signup and view all the answers

A student is reading a book with 120 pages. They read 30 pages each day. After how many days will the student have 30 pages left to read?

<p>3 days (A)</p> Signup and view all the answers

A group of explorers is journeying through a dense forest. They have 54 bottles of water, and each explorer drinks 2 bottles per day. If there are 9 explorers, for how many days will their water supply last?

<p>3 days (B)</p> Signup and view all the answers

A gardener plants 2 rows of tulips and 4 rows of roses in a garden. If there are 12 tulips in each row and 9 roses in each row, what is the total number of flowers planted?

<p>84 flowers (D)</p> Signup and view all the answers

A shop orders apples and oranges. They order 7 boxes of apples with 15 apples in each box, and 4 boxes of oranges with 20 oranges in each. How many more apples than oranges does the shop order?

<p>25 more apples (A)</p> Signup and view all the answers

A group of students is organizing a fundraising event. They plan to sell tickets for $5 each. Their goal is to raise a total of $150. If they have already sold 18 tickets, how many more tickets do they need to sell to meet their goal?

<p>12 tickets (A)</p> Signup and view all the answers

A classroom has 3 rows of desks, with 5 desks in each row. The teacher wants to rearrange the desks into 5 rows. How many desks will be in each row after the rearrangement?

<p>3 desks (C)</p> Signup and view all the answers

A school is organizing a field trip. There are 115 students in fourth grade, and each bus can hold 40 students. How many buses are needed to ensure all students can attend?

<p>3 buses (B)</p> Signup and view all the answers

Michael wants to save $225 to buy a new bicycle. He has $75 already and plans to save $15 each week. How many weeks will it take him to save enough money?

<p>10 weeks (D)</p> Signup and view all the answers

A store owner has 7 shelves of books. Each shelf holds 12 books. If a customer buys 20 books, how many books are left on the shelves?

<p>64 (B)</p> Signup and view all the answers

A group of 4 friends is collecting stickers. Each friend has 15 stickers. They decide to combine all their stickers and then share them equally among themselves. How many stickers will each friend have after sharing?

<p>15 (C)</p> Signup and view all the answers

A group of 5 friends went to a fair. Each person played 8 games, and each game cost $2. What was the total amount of money spent on games by the group?

<p>$80 (A)</p> Signup and view all the answers

A classroom has 5 rows of desks, with 6 desks in each row. If the teacher wants to arrange the desks into 3 rows, how many desks will be in each row?

<p>10 (C)</p> Signup and view all the answers

A rectangular garden has a length of 12 feet and a width of 8 feet. If a fence is to be built around the garden, how many feet of fencing are needed?

<p>40 feet (B)</p> Signup and view all the answers

A bakery produces 360 cookies in a day. They sell them in boxes of 12 cookies each. If they sell all the boxes, how many boxes do they sell?

<p>30 boxes (C)</p> Signup and view all the answers

A baker makes 4 batches of muffins. Each batch contains 6 blueberry muffins and 8 chocolate chip muffins. How many muffins does the baker make in total?

<p>56 (C)</p> Signup and view all the answers

Emily has 4 bags of marbles. Each bag contains 25 marbles. She wants to divide all the marbles equally among 5 friends. How many marbles will each friend receive?

<p>20 marbles (B)</p> Signup and view all the answers

A group of students is organizing a sports day. They have 48 participants and want to divide them into teams of 6. If 2 teams drop out, how many teams are left?

<p>6 (C)</p> Signup and view all the answers

A movie theater has 24 rows of seats with 15 seats in each row. How many people can the theater seat in total?

<p>360 people (C)</p> Signup and view all the answers

A gardener plants 3 rows of roses with 8 roses in each row and 2 rows of tulips with 12 tulips in each row. What is the total number of flowers planted?

<p>48 (A)</p> Signup and view all the answers

What is the cost of 7 notebooks if 2 notebooks cost $3?

<p>$10.50 (A)</p> Signup and view all the answers

A movie theater has 9 rows of seats, with 14 seats in each row. If 23 seats are already occupied, how many seats are still available?

<p>103 (D)</p> Signup and view all the answers

Sarah participated in a reading challenge where she read 40 pages each day for 6 days. After that, she read 35 pages each day for the next 4 days. In total, how many pages did Sarah read?

<p>380 pages (C)</p> Signup and view all the answers

A group of friends is playing a game. There are 5 friends on each team. If there are a total of 45 players, how many teams are there?

<p>9 (C)</p> Signup and view all the answers

A farmer has 156 apples and wants to pack them into boxes. Each box holds 12 apples. After packing as many full boxes as possible, how many apples will be left over?

<p>0 apples (B)</p> Signup and view all the answers

A school is organizing a trip. There are 8 classrooms going, and each classroom has 25 students. If each bus can hold 40 students, how many buses are needed?

<p>5 (B)</p> Signup and view all the answers

Sarah has 3 boxes of beads. Each box contains 15 red beads and 12 blue beads. How many beads does Sarah have in total?

<p>81 (C)</p> Signup and view all the answers

Flashcards

Addition

Combining two or more numbers to get a total.

Subtraction

Taking one number away from another.

Multiplication

Finding the total of equal groups.

Division

Splitting a number into equal parts.

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Combining Groups (Addition)

Joining groups of items to find a total.

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Taking Away (Subtraction)

Determining what remains after removing items.

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Equal Groups (Multiplication)

Calculating the total in arrays or groups.

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Sharing Equally (Division)

Distributing items evenly among groups.

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Finding the Difference (Subtraction)

Calculating how much more one number is than another.

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Using Visual Aids

Employing visuals to understand math concepts better.

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Identifying Operations

Analyzing a word problem to find necessary math operations.

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Key Words for Addition

Words that indicate addition, like 'total' and 'sum'.

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Key Words for Subtraction

Words that signal subtraction, like 'difference' and 'less than'.

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Key Words for Multiplication

Words indicating multiplication, such as 'groups of' and 'times'.

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Key Words for Division

Words that suggest division, like 'split' and 'share'.

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Combining Problems

Problems that involve putting quantities together, requiring addition.

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Separating Problems

Problems that involve removing from a quantity, requiring subtraction.

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Equal Groups (Arrays)

Problems dealing with multiple groups with the same number of items, related to multiplication.

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Sharing/Distribution

Problems that involve dividing items into equal groups, relating to division.

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Multi-Step Problems

Problems that require more than one operation to solve.

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Multiplication of Equal Groups

A method to find the total number of items in multiple identical groups.

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Multiplication as an Array

A way to represent multiplication using rows and columns, like a rectangle of squares.

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Basic Division

Distributing a total amount equally among a specified number of groups or people.

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Determining Groups with Division

Finding out how many groups can be made from a total by dividing the total by the group size.

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Real-World Scenarios

Applying math concepts to everyday situations like shopping or sharing items.

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Effective Problem-Solving Strategies

A methodical approach to understanding and solving math problems.

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Understanding Key Words

Identifying important terms in a problem that indicate operations or actions needed.

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Drawing Diagrams

Creating visual representations to help understand and solve problems better.

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Error Analysis

Examining mistakes to understand their cause and improve future problem-solving.

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Checking Your Answer

Reviewing the solution to ensure it is logical and correct after solving a problem.

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Study Notes

Mathematical Operations

  • Addition: Combining groups of objects to find a total. Examples include combining apples, marbles, children, or animals.

  • Combining Groups: Finding the total when adding known quantities.

    • Example: 5 red apples + 3 green apples = 8 apples total.
    • Example: 8 marbles + 4 marbles = 12 marbles.
  • Joining Sets: Adding two or more established groups.

    • Example: 20 children + 12 children = 32 students on a bus.

    -Example: 15 lions and 18 tigers = 33 big cats total.

  • Subtraction: Taking away a quantity from a given amount to find the difference or remaining quantity.

  • Taking Away: Removing a known number of objects from a larger group.

    • Example: 10 cookies - 3 cookies = 7 cookies left.
  • Finding the Difference: Identifying the difference between two quantities.

    • Example: If John has 8 stickers and Mary has 5, John has 3 more stickers.
    • Example: A 20-meter long rope compared to a 15-meter rope shows a difference of 5 meters.
  • Multiplication: Finding the total when the same quantity is repeated multiple times.

  • Equal Groups: Multiplying the same quantity in multiple groups to find the total.

    • Example: 4 bags of apples with 3 apples each = 12 apples total.
  • Arrays: Showing repeated groups of objects in rows and columns to work out total objects.

    • Example: 3 rows of chairs with 6 chairs in each row = 18 chairs.
  • Arrays Example 2: A chocolate bar with 4 rows of 5 squares has 20 squares in total.

  • Division: Splitting a quantity into equal groups.

  • Sharing Equally: Dividing a set of items into equal parts for multiple people or recipients.

    • Example: 12 cookies shared equally among 4 children = 3 cookies per child. - Example: 20 toys, split into 5 boxes equally = 4 toys per box
  • Grouping: Dividing a set of items into a specified number per group.

    • Example: 15 flowers divided into bouquets with 3 flowers per bouquet = 5 bouquets. -Example: 24 pencils, 3 pencils per student = 8 students.

Problem-Solving Strategies

  • Act it Out: Physically demonstrating the problem to better understand.
  • Read Carefully: Thoroughly reading each problem to identify important information.
  • Choose the Right Operation: Deciding which mathematical operation (addition, subtraction, multiplication, or division) is most appropriate.
  • Check Your Work: Reviewing and verifying the answer to ensure accuracy.
  • Visual Aids: Using drawings, counters, or other visuals to aid comprehension.
  • Tip: Use visual aids like drawings or manipulatives to better understand the problems.

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Description

Learn the basics of addition, subtraction, multiplication, and division. This includes combining groups to find a total and taking away a quantity from a given amount to find the difference or remaining quantity.

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