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Maths Quiz: Ratio, Proportion and Rate of Change

Welcome to the exciting world of Maths! Today, we will be exploring the concepts of ratio, proportion, and rate of change. Don't worry, it's going to be fun! By the end of this quiz, you will be a pro at understanding these math concepts. Are you ready to get started?
1 .
What is a ratio?
A type of dance
A comparison of two quantities
A type of animal
A musical instrument
A ratio is a comparison of two quantities that can be written in the form of a fraction. For example, 4:2 ratio can be written as 4/2 or 2.
2 .
What is proportion?
A type of food
A comparison of three quantities
A comparison of two ratios
A type of car
Proportion is the relation between two ratios. If two ratios are equal or equivalent, then they are said to be in proportion.
3 .
What is the symbol for proportion?
=
-
+
x
The symbol for proportion is '=', which means 'is to' or 'equals'.
4 .
What is rate of change?
The speed of a car
The change in the weight of an object
The change in distance with respect to time
The change in colours of a rainbow
Rate of change is the change in one quantity with respect to another quantity. For example, speed is the rate of change of distance with time.
5 .
What is the formula for calculating the rate of change?
S = D/T
T = S/D
D = S/T
S+D = T
The formula for calculating the rate of change is S = D/T, where S is the change in distance, D is the change in time, and T is time taken.
6 .
What is a direct proportion?
When one quantity increases and the other decreases
When the two quantities are unrelated
When the two quantities increase or decrease together
When the two quantities are equal
In a direct proportion, the two quantities increase or decrease together at the same rate. For example, if the length of a string is doubled, the width also gets doubled.
7 .
What is an inverse proportion?
When the two quantities increase together
When the two quantities are unrelated
When one quantity increases and the other decreases
When the two quantities are equal
In an inverse proportion, one quantity increases while the other decreases, but the product of the two remains constant. For example, as the speed of a car increases, the time taken to cover a certain distance decreases.
8 .
What is the formula for direct proportion?
a/b = x/y
a*b = c
a/b = y/x
a+b = c
The formula for direct proportion is a/b = x/y, where a and b are two quantities and x and y are two other quantities that are proportional to a and b.
9 .
What is the formula for inverse proportion?
a/b = x/y
a*b = c
a/b = y/x
a+b = c
The formula for inverse proportion is a*b = c, where a and b are two quantities and c is a constant. As one quantity changes, the other quantity changes inversely to keep the product constant.
10 .
What is the difference between proportion and ratio?
There is no difference
Ratio is between two quantities while proportion is between two ratios
Ratio is the relation between two quantities, while proportion is the relation between three quantities
Proportion is the relation between two quantities, while ratio is the relation between three quantities
Ratio is the relation between two quantities, while proportion is the relation between two ratios. Proportion compares two ratios to determine if they are equal.
Author:  Colin King

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