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TSI PREP-1

Authored by Logan Mitchell

Education

9th - 12th Grade

Used 22+ times

TSI PREP-1
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100 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the area of a rectangle?

A = length × width

A = length + width

A = length ÷ width

A = 2 × (length + width)

Answer explanation

The area of a rectangle is calculated by multiplying its length by its width. Therefore, the correct formula is A = length × width, making this the only accurate choice among the options provided.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

12

14

16

10

Answer explanation

To find the hypotenuse of a right triangle, use the Pythagorean theorem: a² + b² = c². Here, 6² + 8² = 36 + 64 = 100. Taking the square root gives c = 10. Thus, the hypotenuse is 10.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bag contains 4 red marbles and 6 blue marbles. What is the probability of randomly selecting a red marble?

2/5

2/3

3/5

1/5

Answer explanation

The total number of marbles is 4 red + 6 blue = 10. The probability of selecting a red marble is the number of red marbles divided by the total number of marbles: 4/10 = 2/5. Thus, the correct answer is 2/5.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the perimeter of a rectangle?

P = 2(l + w)

P = l + w

P = 2lw

P = l - w

Answer explanation

The perimeter (P) of a rectangle is calculated by adding the lengths of all sides. The formula P = 2(l + w) accounts for both lengths (l) and widths (w), making it the correct choice.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Pythagorean theorem formula for a right triangle?

a + b = c

a² + b² = c²

a² + c² = b²

a² - b² = c²

Answer explanation

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Thus, the correct formula is a² + b² = c².

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the area of a circle?

A = 2πr²

A = πd

A = 2πr

A = πr²

Answer explanation

The area of a circle is calculated using the formula A = πr², where r is the radius. This formula correctly represents the relationship between the radius and the area, making it the correct choice.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the circumference of a circle?

C = 2πd

C = πr

C = 2πr

C = πr²

Answer explanation

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. This formula shows that the circumference is directly proportional to the radius, making it the correct choice.

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