Direct Proportion and Ratios Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Increasing the quantity 30 by 15:26 results in a new quantity of 52.

True (A)

The ratio for decreasing quantity 77 is 11:8.

True (A)

The new quantity calculated from decreasing 77 by 11:8 is 56.

False (B)

To find the new quantity in direct proportion, the formula used is $ rac{x}{old,quantity} = rac{new,quantity}{old,quantity} $.

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

The result of $ rac{15 imes 30}{26} $ is 52.

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

The cost of 10 erasers is PKR 60.

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

B is directly proportional to A.

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

When A = 24, the value of B is 6.

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

The cost of a kg of sugar when b kg costs PKR 55 is 55/b.

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

The variable K represents a constant of proportionality.

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

The equation B = 3(18) indicates B is equal to 54.

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

The equation 3 = K * 18 / 6 simplifies to K = 1/3.

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

B can be expressed as B = 1/6 * A.

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

The calculation B=1(24) results in B being equal to 12.

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

Flashcards

Direct Proportion

Two quantities are in direct proportion if their ratio is constant.

Inverse Proportion

Two quantities are in inverse proportion if their product is constant.

Finding a new quantity (direct)

To find the new quantity, set up a proportion using the given ratio and solve for "x" (the new quantity).

Finding a new quantity (inverse)

To find the new quantity in inverse proportion, a similar proportion exists where the product of corresponding values equals the constant, and solve for "x".

Signup and view all the flashcards

Proportions

A statement that two ratios are equal, using a colon or a fraction bar symbol to denote the ratio.

Signup and view all the flashcards

Cost of 10 erasers (Problem 1)

PKR 60

Signup and view all the flashcards

Cost of a kg of sugar (Problem 2)

PKR 55/b x a

Signup and view all the flashcards

Direct Proportion (Problem 3)

If one variable increases, the other also increases by a fixed ratio

Signup and view all the flashcards

Finding 'k' (Problem 3)

The constant of proportionality, calculated as the dependent variable divided by the independent variable when they're proportional

Signup and view all the flashcards

Value of B (Problem 3)

4

Signup and view all the flashcards

What does 'K' represent?

'K' likely represents a constant of proportionality, indicating the relationship between two variables. The context suggests that 'K' could be the price per kg of sugar.

Signup and view all the flashcards

How to calculate 'K' in direct proportion

To calculate 'K' in direct proportion, divide the corresponding values of the two variables. The ratio should always remain constant.

Signup and view all the flashcards

What is the equation for direct proportion?

The equation for direct proportion is 'y = kx', where 'y' and 'x' are the variables and 'k' is the constant of proportionality.

Signup and view all the flashcards

What is the problem solving for?

The notes aim to find the value of 'K', representing the cost per kg of sugar, considering the different quantities of sugar purchased.

Signup and view all the flashcards

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser