Quantitative Reasoning Flashcards
7 cards from real Rise Placement Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Quantitative Reasoning flashcards as text
On a number line, which value is between −1/2 and 1/3?
Answer: 0.1
−0.5 < 0.1 < 0.333…, so 0.1 lies between −1/2 and 1/3.
A survey of 200 students found that 35% prefer math, 45% prefer English, and the rest prefer science. How many students prefer science?
Answer: 40
Remaining percentage = 100% − 35% − 45% = 20%; 20% of 200 = 40 students.
The equation y = −2x + 6 represents a line. Which point lies on this line?
Answer: (3, 0)
At x = 3: y = −2(3) + 6 = 0, so the point (3, 0) is on the line.
A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?
Answer: 15
c = √(9² + 12²) = √(81 + 144) = √225 = 15.
If 15% of a number is 45, what is 40% of the same number?
Answer: 120
The number = 45 / 0.15 = 300; 40% of 300 = 120.
Which expression is equivalent to 2(3x − 4) − (x + 5)?
Answer: 5x − 13
2(3x−4) − (x+5) = 6x − 8 − x − 5 = 5x − 13.
A cylindrical water tank has a radius of 3 feet and a height of 10 feet. Approximately how many cubic feet of water can it hold? (Use π ≈ 3.14)
Answer: 282.6
Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic feet.