Mathematics Concepts and Applications Quiz

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Questions and Answers

What is the final price of a computer originally priced at $1200 after applying a 15% discount followed by a 15% tax?

  • $1173 (correct)
  • $1020
  • $1230
  • $1100

How much is the tip when the total bill is $80 and the tip percentage is 15%?

  • $14
  • $12 (correct)
  • $15
  • $10

Which person left a higher tip, Emma or Lucas, and by how much?

  • Lucas, by $1.50
  • Emma, by $2
  • Both left the same tip
  • Emma, by $1.50 (correct)

Which computer buying option is more economical?

<p>$1000 with 15% tax (D)</p> Signup and view all the answers

What is the total amount to pay when a bill of $80 receives a 15% tip?

<p>$92 (D)</p> Signup and view all the answers

What is the total price of all grocery items listed?

<p>$46.61 (B)</p> Signup and view all the answers

How much is the discount on the bicycle priced at $300 with a 20% discount?

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

What is the final amount Léo has to pay after tax for his book and notebook?

<p>$46 (A)</p> Signup and view all the answers

What is the total tax amount on Léo's purchases of a book and a notebook?

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

How much does Alex have to pay for the bicycle after applying the discount?

<p>$240 (C)</p> Signup and view all the answers

What is the main objective of the problem described on the notebook page?

<p>Calculate the perimeter of a composite shape. (D)</p> Signup and view all the answers

Which two geometric shapes are primarily involved in the calculations shown?

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

What mathematical concept is needed to find the circumference of the circle?

<p>Diameter or radius and pi. (D)</p> Signup and view all the answers

What information must be gathered in order to solve for the perimeter of the rectangle?

<p>Dimensions of the rectangle's sides. (A)</p> Signup and view all the answers

What do the handwritten notes in the image likely show?

<p>The process for calculating the perimeter and circumference. (A)</p> Signup and view all the answers

What is the total area of the rectangle and triangle combined in square centimeters?

<p>87.5 cm² (B)</p> Signup and view all the answers

How much area will one pot of varnish cover when two coats are applied?

<p>10 m² (C)</p> Signup and view all the answers

What is the cost of varnish needed to cover 10 m²?

<p>$35.90 (B)</p> Signup and view all the answers

How many students in the sports class can swim if 2/3 of the class can swim?

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

Which of the following fractions is correctly simplified?

<p>36/28 = 9/7 (A)</p> Signup and view all the answers

What is the height of the triangle used in the varnish area calculation?

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

How many students play handball if 5/8 of the class participates?

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

What is the milk container's capacity when it is three-quarters full?

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

How many litres does the container hold when it is seven twenty-fifths full?

<p>112 L (A)</p> Signup and view all the answers

If an invoice of $5700 is paid with a third at the order, what is the amount of that payment?

<p>$1800 (B)</p> Signup and view all the answers

What is the new price of an article originally sold for $60 after a 15% increase?

<p>$79.35 (A)</p> Signup and view all the answers

If a car valued at $30,000 decreased by 60% from 2018 to 2024, what is its new value?

<p>$12,000 (D)</p> Signup and view all the answers

What was the value of a Connor McDavid hockey card in 2015 if it is worth $800 in 2024 after a 75% increase?

<p>$1,600 (A)</p> Signup and view all the answers

Which of the following values is less than '177,955' in the given price comparisons?

<p>160,115 (C)</p> Signup and view all the answers

What should be calculated to find the original price of the article before the 15% increase?

<p>Multiply the final price by 0.85 (C)</p> Signup and view all the answers

What is the perimeter of the rectangular field with a length of 245m and a width equal to 4/7 of the length?

<p>770m (B)</p> Signup and view all the answers

What is the area of the rectangular field given its length and width?

<p>34300 m² (D)</p> Signup and view all the answers

What is the simplified result of the calculation $2 \frac{2}{3} + \frac{3}{3}$?

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

What is the result of the calculation $\frac{2}{5} - \frac{7}{10}$?

<p>-\frac{1}{10} (B)</p> Signup and view all the answers

What is the final result of $\frac{7}{3} - \frac{4}{9} + \frac{5}{3}$?

<p>\frac{40}{9} (B)</p> Signup and view all the answers

What is the result of 4 + 3 x 22?

<p>18 (C)</p> Signup and view all the answers

What is the value of (5 + 3) x 23?

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

What is the result of 6 x (3 + 2)2 ÷ 5?

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

What is the result of (8 - 3) x 4 + 23?

<p>38 (D)</p> Signup and view all the answers

If 2 + 3 x 6 - 4 is evaluated, what is the final result?

<p>14 (D)</p> Signup and view all the answers

Flashcards

Total cost

The amount of money you need to pay for all the items you buy, calculated by adding the prices of each individual item.

Tax

An extra amount added to the total cost of goods or services.

Discount

A reduction in the original price of an item.

Tax rate

The percentage used to calculate the amount of tax on goods or services.

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Final amount to pay

The final amount you pay after adding tax to the total cost of the items.

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Final Price Calculation

Calculating the final price by adding the tax to the price after discount.

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Comparing Prices

Comparing two or more different prices to identify the most cost-effective option.

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Appreciation/Depreciation

The percentage increase or decrease in the value of an item over a period of time.

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Original Value

The starting value of something before any increase or decrease.

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New Value

The new value of an item after it has appreciated or depreciated.

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Increase/Decrease Amount

The amount by which the original value of something increases or decreases.

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Percentage Change

A calculation that expresses the percentage change in value compared to the original value.

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Perimeter

The total length of the outer boundary of a shape.

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Rectangle

A closed figure with four sides and four right angles.

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Circumference

The distance around a circle.

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Composite shape

A shape made up of two or more basic shapes.

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Diameter

The line segment that passes through the center of a circle and connects two points on the circle.

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Fraction of a quantity

The process of finding a part of a whole number, expressed as a fraction.

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Improper fraction

A fraction where the numerator is greater than or equal to the denominator. This indicates a value greater than or equal to 1.

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Fraction to decimal

Representing a fraction as a decimal, where the numerator is divided by the denominator.

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Calculate a fractional quantity

Dividing a whole quantity based on a given fraction.

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Fraction of a whole

The value of a fraction in relation to the whole.

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Simplifying Fractions

Finding the simplest form of a fraction by dividing both the numerator and denominator by their greatest common factor.

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Numerator

The number above the line in a fraction, representing the number of parts taken.

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Denominator

The number below the line in a fraction, representing the total number of parts into which something is divided.

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Greatest Common Factor (GCF)

The largest number that divides two or more numbers without leaving a remainder.

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Fraction Simplification

The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common factor.

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Order of Operations

A set of rules that determine the order in which mathematical operations are performed in an expression.

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Mathematical Expression

A mathematical expression that combines numbers and operations.

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Result of an Expression

The result of calculating a mathematical expression based on the order of operations.

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Parentheses/Brackets

Grouping symbols, like parentheses, brackets, and braces, that tell you to perform the operations inside them first.

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Exponents

The power to which a number is raised, indicated by a superscript number.

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Perimeter of a Rectangle

The total length of all sides of a rectangle. It is calculated by adding the lengths of all four sides.

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Area of a Rectangle

The amount of space a rectangle takes up. It is calculated by multiplying the length by the width.

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Adding Fractions with Same Denominator

Adding fractions that have the same denominator involves adding the numerators and keeping the denominator the same.

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Subtracting Fractions with Different Denominators

Subtracting fractions with different denominators requires finding a common denominator. This involves multiplying the numerator and denominator of each fraction by a factor that makes the denominators equal.

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Adding Mixed Numbers

Adding mixed numbers involves first adding the whole numbers and then adding the fractions separately. If the sum of the fractions is greater than 1, we carry over the whole number to the sum of the whole numbers.

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