Mathematical Concepts and Problem Solving

The video tutorial covers various mathematical concepts, including dividing numbers in a ratio, calculating percentages and price reductions, and understanding simple and compound interest. It also explores vectors, modulus functions, cumulative frequency, histograms, geometry, bearings, functions, inverses, probability, similarity, completing the square, and solving quadratic equations. The tutorial provides step-by-step explanations and examples to help students grasp these concepts effectively.

What is the first step in dividing 24 in the ratio of 7:5?

• Divide 24 by 12

• Multiply 24 by 7

• Add 7 and 5

• Subtract 5 from 24

How do you calculate the percentage of 1.92 as a percentage of 1.6?

• Multiply 1.92 by 1.6

• Divide 1.92 by 1.6 and multiply by 100

• Add 1.92 and 1.6

• Subtract 1.6 from 1.92

What is the formula for simple interest?

• Principal - Rate - Time

• Principal + Rate + Time

• Principal x Rate x Time

• Principal / Rate / Time

How do you find the modulus of a vector?

• Multiply the components

• Use Pythagoras theorem

• Subtract the components

• Add the components

What is the x-coordinate of a point where a line crosses the y-axis?

• 1

• 0

• 2

• 3

How do you find the midpoint of a line segment?

• Divide the coordinates

• Subtract the coordinates

• Multiply the coordinates

• Add the coordinates and divide by 2

What is the first step in constructing a histogram?

• Determine the mode

• Find the median

• Calculate the mean

• Identify the class intervals

Which rule is used to find an unknown side in a triangle?

• Pythagorean theorem

• Sine rule

• Cosine rule

• Area rule

How do you calculate the bearing of one point from another?

• Add angles

• Use the cosine rule

• Use the sine rule

• Subtract angles

What is the inverse of a function?

• A function that adds to the original

• A function that multiplies the original

• A function that reverses the original

• A function that divides the original