TSIA2 Boot Camp - Math Pre-Test

Front

What is the relationship between the height of an object and the length of its shadow when the sun's angle is constant?

Back

The height of an object and the length of its shadow are proportional when the angle of the sun remains constant.

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion using the heights and shadow lengths of the objects. For example, if a building's height is to its shadow length as a dog's height is to its shadow length, you can solve for the dog's height.

Front

Back

Front

What does it mean for integers to be consecutive?

Back

Consecutive integers are numbers that follow each other in order without any gaps. For even integers, they differ by 2.

Front

How do you calculate the area of a rectangle?

Back

Multiply the length by the width: Area = length × width.

Front

What is the concept of proportionality in statistics?

Back

Proportionality means that two quantities maintain a constant ratio. If one quantity increases, the other increases at the same rate.

Front

How do you convert square feet to square yards?

Back

To convert square feet to square yards, divide the area in square feet by 9, since 1 square yard = 9 square feet.

Front

What is the sum of three consecutive even integers represented algebraically?

Back

Let the first even integer be x. The next two would be x+2 and x+4. The sum is x + (x+2) + (x+4) = 3x + 6.

Front

How do you determine the value of x in a rational equation?

Back

Isolate x by cross-multiplying or simplifying the equation to solve for x.

Front

What is the significance of the term 'mean' in statistics?

Back

The mean is the average of a set of numbers, calculated by dividing the sum of the numbers by the count of the numbers.