TSIA2 assessment day 1

John has a bag that contains 5 red, 4 blue, and 3 green marbles. What is the probability of John taking out a blue or a green marble from the bag without looking?

• 7/12

• 1/3

• 1/4

• 1/5

John has a bag that has 5 red, 4 blue, and 3 green marbles. What is the probability that he takes out a green marble and replaces it and then takes out another green?

• 1/16

• 1/9

• 1/4

• 1/2

john has a bag with 5 red, 4 blue, and 3 green marbles. What is the probability that John takes out a red marble does not replace it and then takes out a blue marble?

• 1/6

• 5/33

• 1/3

• 1/12

Which is equivalent to x² - y²?

• xy(x-y)

• (x-y)(x+y)

• (x-y)(x-Y)

• (x+y)(x+y)

Which is equivalent to a² + 2ab + b²?

• (a - b)²

• ab(a+b)

• (a + b)²

• (a + b)(a - b)

Which is equivalent to a² - 2ab + b²?

• (a - b)²

• ab(a+b)

• (a + b)²

• (a + b)(a - b)

If the diameter of a circle is 12 cm, what is the area of the circle? (use π = 3.14)

• 113.04 cm²

• 150.72 cm²

• 78.5 cm²

• 144 cm²

If you have a sprinkler system that is able to water your grass up to 15 feet, how much area of grass will it be able to sprinkle water on? (use π = 3.14)

• 706.5 square feet

• 615.75 square feet

• 530.25 square feet

• 450 square feet

If the temperature is 77° F, what is it in Celsius?

• 25° C

• 41 2/3° C

• 45° C

• 60 5/9° C

The relationship between a temperature in degree Celsius and in degrees Kelvin is given by K = C + 273. What is the temperature in Celsius at 10 degrees Kelvin?

• -263

• -273

• 263

• 273