Core Academic Skills Assessment Mathematics: Number and Quantity Questions and Answers

Question 1

A biologist is studying a bacterial culture.
At 9:00 AM, the culture contains 4.5 x 10^5 bacteria.
The bacteria triple in number every hour.
How many bacteria will be in the culture at 12:00 PM, expressed in scientific notation?

Accepted Answer

1.215 x 10^7

Answer

4.05 x 10^6

Answer

1.35 x 10^6

Answer

4.5 x 10^8

Question 2

Which of the following numbers is irrational?

Accepted Answer

π / 2

Answer

√49

Answer

0.333...

Answer

5.78

Question 3

The mass of the Earth is approximately 5.97 x 10^24 kg, and the mass of Mars is approximately 6.42 x 10^23 kg. What is the difference in the order of magnitude between the mass of Earth and the mass of Mars?

Accepted Answer

0

Answer

1

Answer

10

Answer

2

Question 4

A student is working on a project that requires mixing a chemical solution. The instructions state to add 3/8 of a liter of substance A and 2/5 of a liter of substance B. If the student wants to pour the combined mixture into a beaker that holds 0.75 liters, will the mixture fit? And by how much will it be over or under?

Accepted Answer

No, it will be over by 0.025 liters.

Answer

Yes, it will be under by 0.025 liters.

Answer

No, it will be over by 0.25 liters.

Answer

Yes, it will fit exactly.

Question 5

Given the complex numbers z1 = 4 - 3i and z2 = -1 + 5i, what is the result of z1 - z2?

Accepted Answer

5 - 8i

Answer

3 + 2i

Answer

3 - 8i

Answer

5 + 2i

Question 6

Let vector u = <2, -7> and vector v = <-5, 3>. What is the resultant vector of u + v?

Accepted Answer

<-3, -4>

Answer

<7, -10>

Answer

<-7, 10>

Answer

<3, 4>

A biologist is studying a bacterial culture.At 9:00 AM, the culture contains 4.5 x 10^5 bacteria.The bacteria triple in number every hour.How many bacteria will be in the culture at 12:00 PM, expressed in scientific notation?

A biologist is studying a bacterial culture.
At 9:00 AM, the culture contains 4.5 x 10^5 bacteria.
The bacteria triple in number every hour.
How many bacteria will be in the culture at 12:00 PM, expressed in scientific notation?