Math Problem: Counting Pieces

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Questions and Answers

How many pieces does Bonnie have in total after putting together additional pieces?

  • 200
  • 300
  • 250 (correct)
  • 150

What is the total number of jars of sauce ordered by the restaurant?

  • 130
  • 150
  • 180
  • 170 (correct)

How many miles will Matt's family have driven in total after their trip?

  • 923 (correct)
  • 600
  • 822
  • 800

What is the total number of pencils sold by Gary over two months?

<p>432 (D)</p> Signup and view all the answers

How many markers does Joaquin have after receiving more from his friend?

<p>288 (C)</p> Signup and view all the answers

What was the total ticket sales for the polar bear exhibit over the weekend?

<p>880 (B)</p> Signup and view all the answers

How many students were left in the gym after some left during the assembly?

<p>208 (A)</p> Signup and view all the answers

What is the difference in milliliters between the amounts of green and red paint?

<p>190 (A)</p> Signup and view all the answers

How many crayons did Tashanae buy if she purchased 5 boxes with 8 crayons each?

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

If Malcolm runs 7 laps each practice for 5 days, what is the total number of laps he runs in one week?

<p>42 laps (C)</p> Signup and view all the answers

Which arrangement of 18 decks can Mrs. Gage NOT use?

<p>4 rows of 4 (D)</p> Signup and view all the answers

What is the total number of fish in 7 aquariums if each aquarium has 6 fish?

<p>42 (C)</p> Signup and view all the answers

If Mrs. Owens buys 8 boxes of pizzas with 4 pizzas in each box, how many pizzas does she have?

<p>24 (C)</p> Signup and view all the answers

How many marshmallows did Amy use if she put 4 marshmallows in each of her 4 cups of hot chocolate?

<p>16 (B)</p> Signup and view all the answers

Madison read 13 pages each day. How many pages did she read in 4 days?

<p>52 (B)</p> Signup and view all the answers

How many eggs are there if there are 4 branches, 3 nests on each branch, and 5 eggs in each nest?

<p>60 (D)</p> Signup and view all the answers

How much does Julie's family spend on visors?

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

How many tables are needed for 88 students if 4 students sit at each table?

<p>22 tables (C)</p> Signup and view all the answers

How many stickers does each of Lexi's friends receive if she has 45 stickers to share equally among 9 friends?

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

If Mrs. Green has 64 crayons and she wants to divide them into 4 groups, how many crayons will each group receive?

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

How many drawings will be in each binder if Rocco puts 14 drawings into 2 binders?

<p>7 drawings (B)</p> Signup and view all the answers

What is the total number of students in each group during the Cinco de Mayo festival if there are 60 students in 5 groups?

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

If Jodi has 66 newspapers and puts 6 in each bundle, how many bundles does she make?

<p>11 bundles (B)</p> Signup and view all the answers

What two-digit odd number is divisible by 3?

<p>27 (D)</p> Signup and view all the answers

How many bracelets can Kylie make with a bag of 30 beads if each bracelet requires 5 beads?

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

How many equal parts does a square have?

<p>4 (B)</p> Signup and view all the answers

If a circle is divided into 8 equal parts, how many parts are shaded and unshaded if 6 are shaded?

<p>6 shaded and 0 unshaded (A)</p> Signup and view all the answers

What fraction of the circle is shaded if the entire circle is filled?

<p>4/4 (A)</p> Signup and view all the answers

Which fraction model best depicts two-thirds shaded?

<p>Model with 2/3 shaded (B)</p> Signup and view all the answers

What fraction of the area model is shaded if it shows half filled?

<p>1/2 (C)</p> Signup and view all the answers

Which two shapes have the same number of equal parts?

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

What fraction of a model is shaded if it shows 5 out of 8 parts shaded?

<p>5/8 (D)</p> Signup and view all the answers

What fraction represents one-half of a pizza when split evenly?

<p>1/2 (C)</p> Signup and view all the answers

How many equal parts are needed to represent a circle divided into halves?

<p>2 (B)</p> Signup and view all the answers

What fraction of the pie did James eat compared to Jo?

<p>5/12 (A)</p> Signup and view all the answers

What fraction of the pizza is left if 4 out of 8 slices were eaten?

<p>1/2 (B)</p> Signup and view all the answers

What is the correct comparison between 3/4 cup of nuts and 1/4 cup of raisins?

<p>3/4 &gt; 1/4 (C)</p> Signup and view all the answers

If 4 birds out of 6 flew away, what fraction of the birds flew away?

<p>4/6 (C)</p> Signup and view all the answers

When a circle is divided into four equal parts, what type of fractions are represented?

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

What is the meaning of the denominator in the fraction 1/3?

<p>The total number of sections. (A)</p> Signup and view all the answers

What fraction of Cameron's fraction circle is not green?

<p>2/3 (B)</p> Signup and view all the answers

What is the proper fraction representing the number of cookies Leo had with sprinkles?

<p>1/3 (A)</p> Signup and view all the answers

Which value would represent the numerator in the fraction of the pie eaten by the family?

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

How many days did it rain in May compared to April if it rained 8 more days in May?

<p>8 days (C)</p> Signup and view all the answers

If it rained 5 fewer days in August than in May, which of these could be the possible number of days it rained in August?

<p>1 day (D)</p> Signup and view all the answers

What fraction of the day was represented by 3 out of a total of 6 parts colored in Cameron's fraction circle?

<p>1/2 (A)</p> Signup and view all the answers

If it rained 2 days more in October than in May, and it rained 8 days in May, how many days did it rain in October?

<p>11 days (A)</p> Signup and view all the answers

If Leo had 3 cookies and put sprinkles on only one, what percentage of his cookies had no sprinkles?

<p>67% (B)</p> Signup and view all the answers

Flashcards

What is a word problem?

A word problem involves a story with a question that needs to be solved using math.

What is addition?

Adding numbers together to find the total.

What is subtraction?

Subtracting one number from another to find the difference.

What is multiplication?

Multiplying two numbers together to find the product.

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How do I choose the right operation?

Identifying the correct operation (addition, subtraction, or multiplication) needed to solve the problem.

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What does it mean to show your work?

Writing down the steps and calculations to solve the problem.

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How do I check my answer?

Checking your answer by using estimation or an alternate method.

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Addition word problem

A word problem with a question that can be solved using the addition operation.

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Multiplication Word Problem

A word problem that presents a situation where you need to multiply two numbers to find the total.

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Multiplication

The process of combining equal groups to determine the total number.

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Factor

The number being multiplied.

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Product

The result of multiplying two or more factors.

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Word Problem

A question that requires you to use math skills to solve.

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How Many

A specific amount or quantity.

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Operation

Identifying the operation needed to solve a word problem.

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Show Your Work

Writing the steps and calculations used to solve a word problem.

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What is Division?

To divide is to split a quantity into equal groups.

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What is the dividend?

The total number you are splitting.

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What is the divisor?

The number of equal groups you are creating.

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What is the quotient?

The result of a division problem, showing how many are in each group.

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What is a division word problem?

A story problem that requires division to be solved.

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What is showing your work?

To write down the steps and calculations performed to solve a problem.

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What is estimation?

To estimate an answer before solving. This helps you make a reasonable guess.

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Equal Parts

Dividing a whole into equal parts.

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Equivalent Fractions

A fraction that represents the same amount as another fraction, even though they may look different.

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Fraction Model

A visual representation of a fraction, showing the whole and the shaded parts.

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Fraction of a shaded area

Part of a whole that is shaded, represented as a fraction.

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Unit fraction

A fraction where the numerator is 1 and the denominator represents the number of equal parts the whole is divided into.

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One-half

A fraction representing half of a whole, denoted by 1/2.

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Comparing fractions

Comparing two fractions to determine which represents a larger portion.

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Denominator

The number below the fraction line representing the total number of equal parts in a whole.

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Numerator

The number above the fraction line representing the number of parts being considered out of the whole.

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What does the numerator represent?

The numerator represents the number of parts being considered out of the total number of parts in the whole. In this case, the numerator '3' shows that 3 pieces of the pie were eaten.

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What is a fraction circle?

A fraction circle is a circular diagram divided into equal parts, representing a whole. Each part of the circle represents a fraction of the whole.

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What is the denominator in a fraction?

The total number of equal parts that make up the whole.

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What is a scaled bar graph?

A scaled bar graph uses bars of different lengths to represent different amounts of data, with each bar representing a specific category.

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What is a dot plot?

A dot plot is a type of graph that uses dots to represent data points along a number line. Each dot represents a single occurrence of a data point.

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How do you represent fractions on a number line?

To represent fractions on a number line, divide the line into equal parts that correspond to the denominator of the fraction. Mark the point on the line that represents the numerator of the fraction.

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What is a fraction?

A fraction represents a part of a whole, where the whole is divided into equal parts. It is written as a numerator over a denominator, showing the number of parts being considered out of the total number of parts.

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Study Notes

Addition Word Problems

  • Bonnie put together 119 pieces of a puzzle. There are 131 more pieces to put together. The total number of pieces is 250.
  • A pasta restaurant ordered 114 jars of tomato sauce, 7 jars of mushroom sauce, and 49 jars of garlic sauce. The total number of sauce jars is 170.
  • Matt's family drove 650 miles today and 273 miles tomorrow. The total miles driven is 923.

Subtraction Word Problems

  • There are 540 milliliters of red paint and 730 milliliters of green paint. There are 190 more milliliters of green paint.
  • There were 294 students in the gym. 86 left. There are 208 students left in the gym.
  • Ike wanted to run 1000 laps. He ran 438 laps. He has 562 laps left to run.

Combined Weight

  • A monkey weighs 67 kilograms and a zebra weighs 438 kilograms. The combined weight of the money and zebra is 505 kilograms.

Other Word Problems

  • Gary sold 187 pencils in March and 245 in April, for a total of 432 pencils sold.
  • Joaquin had 187 markers and received 101 more, totaling 288 markers.
  • The aquarium sold 584 tickets on Saturday and 296 tickets on Sunday, for a total of 880 tickets sold.
  • The students in Ms. Lopez's class had 327 bottle caps and collected 64 more, totaling 391 bottle caps.
  • Last year, Madison Elementary had 420 students. 190 more students enrolled, for a total of 610 students.
  • Seth has 3 packs of baseball cards with 10 cards in each pack, meaning he has 30 cards total.
  • Julie's family bought 5 visors for $6 each, costing them $30.
  • There are 4 branches on a tree. Each branch has 3 nests and 5 eggs in each nest. There are 60 eggs in all.
  • In art class, there are 2 boxes of paints on each of 3 tables. There are 8 paints in each box. A total of 48 paints are present.
  • Martin has 5 groups of games, with 8 games in each group. Martin has 40 games.
  • There are 9 students in the music club. Each student has 4 musical instruments. The students in the music club have a total of 36 instruments.
  • Andrea sees 4 bicycles at school. Each bicycle has 2 wheels. Andrea sees 8 wheels in all.
  • Madison bought 8 bags of candy. Each bag has 8 pieces of candy. Madison bought 64 pieces of candy.
  • A tiger weighs 539 kilograms and a buffalo weighs 715 kilograms. The buffalo is 176 kilograms heavier than the tiger.
  • David had 350 baseball cards. He gave 45 to his friend and sold 139 at a yard sale, meaning he has 166 baseball cards remaining.
  • Multiplication Facts: Includes various multiplication problems with 10s and 100s.
  • Tashanae bought 5 boxes of crayons; each box has 8 crayons; a total of 40 crayons.
  • Malcolm does 35 laps per week; practicing 7 laps per day, and 5 days per week with a total of 35 laps.
  • Mrs. Gage has 18 decks to arrange in her classroom. Mrs. Gage can arrange them in 2 rows of 9, 3 rows of 6, or 6 rows of 3, which is not possible according to the question.
  • Ellie counted 6 fish in each aquarium. There are 7 aquariums. The total number of fish is 42.

Multiplication by 10s

  • Includes various multiplication problems with numbers from 10, 20, 50, and so on.

Division Word Problems

  • 88 students eating lunch in the cafeteria, seated 4 per table. There are 22 tables in the cafeteria.
  • Jeff has 25 quarters in 5 equal groups. Each group has 5 quarters.
  • 18 people are divided into 3 rows. There are 6 people in each row.
  • Jodi has 66 newspapers and places 6 newspapers in each bundle. There are 11 bundles.
  • Lexi has 45 stickers to give to 9 friends. Each friend gets 5 stickers.
  • Mrs. Green has 64 crayons to be delivered to 4 groups of students equally. Each group gets 16 crayons.
  • A bay is 12 feet deep. One fathom is equal to 6 feet. The bay's depth is 2 fathoms.
  • Megan and Calla play 3 different activities for 1 hour each.
  • Ty made 52 rolls and equally distributed them into 4 baskets, meaning there are 13 rolls in each basket.

Equivalent Fractions

  • Includes identifying shapes with specific fractions shaded correctly(1/2, 3/4, etc).

Scaled Bar Graphs

  • Provides various details on the graphs, like the difference in rain days during April, May, and June.

Fraction Word Problems

  • Includes various word problems concerning fractions.

Graphing Fractions on Number Lines

  • Includes various fraction problems to locate on the number lines.

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