Rise Placement Test Quantitative Reasoning 5

Question 1

On a number line, which value is between −1/2 and 1/3?

Accepted Answer

0.1

Answer

−0.5 < 0.1 < 0.333…, so 0.1 lies between −1/2 and 1/3.

Question 2

A survey of 200 students found that 35% prefer math, 45% prefer English, and the rest prefer science. How many students prefer science?

Accepted Answer

40

Answer

Remaining percentage = 100% − 35% − 45% = 20%; 20% of 200 = 40 students.

Question 3

The equation y = −2x + 6 represents a line. Which point lies on this line?

Accepted Answer

(3, 0)

Answer

At x = 3: y = −2(3) + 6 = 0, so the point (3, 0) is on the line.

Question 4

A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

Accepted Answer

15

Answer

c = √(9² + 12²) = √(81 + 144) = √225 = 15.

Question 5

If 15% of a number is 45, what is 40% of the same number?

Accepted Answer

120

Answer

The number = 45 / 0.15 = 300; 40% of 300 = 120.

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