Grade 7 Math: Polygons and Geometry

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Questions and Answers

A store offers a 20% discount on a shirt originally priced at $25. What is the sale price of the shirt?

  • $2.50
  • $20.00 (correct)
  • $5.00
  • $30.00

What type of angle pair is formed when two lines intersect, creating angles that are opposite each other?

  • Complementary angles
  • Adjacent angles
  • Vertical angles (correct)
  • Supplementary angles

If an investment of $1,000 earns a simple interest of 5% per year, how much interest will it earn after 3 years?

  • $1,150
  • $50
  • $150 (correct)
  • $105

A polygon has an adjacent interior angle of 120 degrees. What is the measure of its exterior angle?

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

What is the result of $\frac{3}{4} + \frac{1}{8} - \frac{1}{2}$?

<p>$\frac{3}{8}$ (D)</p> Signup and view all the answers

If a map has a scale of 1 inch = 50 miles, and two cities are 3.5 inches apart on the map, what is the actual distance between the cities?

<p>175 miles (B)</p> Signup and view all the answers

A salesperson earns a 4% commission on their sales. If they sell $15,000 worth of merchandise, what is their commission?

<p>$600 (D)</p> Signup and view all the answers

Which of the following describes a concave polygon?

<p>At least one interior angle is greater than 180 degrees. (C)</p> Signup and view all the answers

If a store increases the price of an item from $40 to $50, what is the percentage increase?

<p>25% (C)</p> Signup and view all the answers

You spent 30% of your budget on housing and 15% on transportation. If your total budget is $2000, how much more money did you spend on housing than transportation?

<p>$300 (C)</p> Signup and view all the answers

Flashcards

Rational Number

A number that can be expressed as a fraction p/q, where p and q are integers and q is not zero.

Equivalent Fractions

Multiplying the numerator and denominator of a fraction by the same number.

Rate

A comparison of two quantities with different units.

Unit Rate

A rate where the denominator is 1.

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Percentage Decrease

A decrease in the original amount, expressed as a percentage.

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Percentage Increase

An increase in the original amount, expressed as a percentage.

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Pie Chart (Budget)

A diagram that shows how a whole is divided into parts, often used in financial planning.

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Commission

Money paid to a salesperson based on a percentage of sales.

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Sales Tax

Tax on goods and services.

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Discount

A reduction from the original price of a product or service.

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Study Notes

  • A playlist of math video tutorials for Grade 7 Mathematics learners and educators.
  • It contains mathematics lessons for the First Quarter under DepEd's new MATATAG CURRICULUM.
  • The medium of instruction is mixed English and Tagalog.
  • Topics covered are for Math 7 Quarter 1 under the DepEd Matatag Curriculum.

Measurement and Geometry

  • Drawing and describing regular and irregular polygons with 5, 6, 8, or 10 sides, based on measurements of sides and angles, using a ruler and protractor.
  • Drawing triangles, quadrilaterals, and regular polygons (5, 6, 8, or 10 sides) with given angle measures.
  • Describing and explaining the relationships between angle pairs based on their measures.
  • Classifying polygons according to the number of sides, whether they are regular or irregular, and whether they are convex or non-convex.
  • Deducing the relationship between the exterior angle and adjacent interior angle of a polygon.
  • Determining the measures of angles and the number of sides of polygons.

Number and Algebra

  • Solving problems involving percentage increase and decrease.
  • Solving money problems involving percentages, such as discount, commission, sales tax, and simple interest.
  • Creating a financial plan.
  • Identifying and explaining the uses of rates.
  • Solving problems involving rates, such as speed.
  • Describing given rational numbers as fractions, decimals, or percentages.
  • Ordering rational numbers on a number line.
  • Performing operations on rational numbers.

Video Titles in the Playlist

  • Multiplication and Division of Rational Numbers
  • Addition and Subtraction of Rational Numbers
  • Arranging Rational Numbers on the Number Line
  • Rational Numbers
  • Solving Problems Involving Rates & Unit Rates
  • Uses of Rates & Expressing Rates to Unit Rates
  • Simple Interest Rate - Solving Money Problem
  • Commission and Sale Tax Solving Money Problem
  • Discount and Sale Price Solving Money Problem
  • Creating Financial Plan | Budget Pie Chart
  • Percentage Decrease
  • Percentage Increase
  • Determining Measures of Angles of a Polygon
  • Interior and Exterior Angles in a Polygon
  • Angle Pairs
  • Measuring Convex and Concave Polygons
  • Convex and Concave Polygon
  • Drawing Triangles and Quadrilaterals
  • Polygon Short Quiz
  • Classification, Name, and Parts of Polygon
  • How to Draw a Regular Pentagon
  • Measuring Regular and Irregular Polygons
  • How to Draw Angles Using Protractor
  • How to Measure Angles Using Protractor
  • Regular and Irregular Polygon
  • Definition and Properties of a Polygon

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