Math Test Set 11 - My Career Tools

Each question has a few answer choices. Choose the best answer for each question. At the end of the quiz, you will see your results.

Please wait...

Uncategorized

1. Janet, Cam, and Mike arrive at a school party and there are only four cupcakes left. Everyone else has eaten enough cupcakes and will eat no more. Below is table of all possible ways these four cupcakes could be eaten by these three people. How likely it is that Janet will eat more cupcakes than Cam and Mike, given that before Janet gets to the cupcake table, Cam and Mike have already each eaten a cupcake?

A.\(\frac{4}{15}\), because there are only four possible scenarios in which Janet eats more cupcakes out of the total 15 possibilities.

B.\(\frac{3}{14}\), since for row 1, neither Cam nor Mike has had a cupcake.

C.\(\frac{1}{12}\), because rows 1-3 don't count, as they have Mike and Cam eating only one cupcake between them (and two need to have been already eaten).

D.\(\frac{1}{6}\), since rows 1-5, 7, 8, 11, 12 aren't included as they don't have Cam and Mike as having eaten at least one cupcake each.

Question 1 of 10

2. Suppose x varies inversely as y and x = 16 when y = 5. Find x when y = 20.

A.4

B.32

C.20

D.1

Question 2 of 10

3. Mia goes to East York Collegiate Institute. She is given the following information:

There are 150 grade 12 students at East York Collegiate Institute. 70 of the grade 12 students drive a car at the school. Half of all students with a grade average of 90 or higher have a car.

She is asked to find the probability of randomly choosing a grade 12 student with a car, given that the
student has an average grade of 90 or higher. She reasons initially that, since there are 70 grade 12 students out of 150 who have a car, it would be \(frac{7}{15}\). However, since it is a conditional probability, she needs to multiply by \(\frac{1}{2}\), since the probability that a student with a grade average of 90 or higher is \(frac{1}{2}\). This results in a probability of \(frac{7}{30}\). Is she correct or not, and why?

A.Yes, and her reasoning is correct.

B.No, she didn't need to multiply by \(\frac{1}{2}\) and the probability is \(\frac{7}{15}\). The probability that a student has a car can be assumed to be independent of their grade average, and so no multiplication is needed.

C.No, there is insufficient information to find this probability.

D.No, she needs to state that it can be assumed that half of grade 12 students have an average of 90 or higher. Therefore, half of 70 is 35, half of 150 is 75, and the probability is \(\frac{7}{15}\)

Question 3 of 10

Math-Percent of number

4. 60% of what number is 90?

A.150

B.90

C.75

D.145

Question 4 of 10

5. What number is 200% of 15?

A.30

B.35

C.15

D.60

Question 5 of 10

Math-Combining Like Terms

6. Combine like terms by first rearranging the terms, then using the distributive property to factor out the common variable part, and then simplifying.

\(-2x^{3}− 19x^{2}y - 15x^{2}y + 11x^{3}\)

A.\(9x^{3} - 34x^{2}y \)

B.\(10x^{3} - 34x^{2}y \)

C.\(9x^{3} + 34x^{2}y \)

D.\(-9x^{3} - 34x^{2}y \)

Question 6 of 10

Math-Distributive Property

7. Use the distributive property to expand the given expression.

\(10s^{2}(−10s^{3} + 2s^{2} + 2s+ 8)\)

A.\(-100s^{5}+ 20s^{4} + 20s^{3} + 80s^{2}\)

B.\(100s^{5}+ 20s^{4} + 20s^{3} + 80s^{2}\)

C.\(-100s^{5} - 20s^{4} + 20s^{3} + 80s^{2}\)

D.\(100s^{5} + 20s^{4} + 20s^{3} - 80s^{2}\)

Question 7 of 10

Math-Slope

8. Calculate the slope of the line passing through the points P and Q. Be sure to reduce your answer to lowest terms.

P(9, 0), Q(−9, 15)

A.\(-\frac{5}{6}\)

B.\(\frac{6}{5}\)

C.\(-\frac{6}{5}\)

D.\(\frac{5}{6}\)

Question 8 of 10

Math-Evaluate expression

9. Simplify the given expression.

−(−50)

A.50

B.45

C.-50

D.1

Question 9 of 10

Math-Inequalities

10. Solve the given inequality.

−16x − 5 ≥ −11 − 6x

A.\(\frac{3}{5}\)

B.\(\frac{5}{3}\)

C.6

D.\(1\frac{3}{5}\)

Question 10 of 10

Continue Learning.
Take one more quiz.

Our quizzes help students successfully develop the abilities and skills needed to pass the TSI Math test.
These quizzes are about solving problems, so some questions may not be exactly like problems in the book.

For those, you will need to figure out how to adapt what you’ve learned to solve the new and different problems.
If you miss a question, the quiz will show the correct answer, allowing you to self-diagnose your mistake, and then you can try similar problems until you get the questions correct.