PowerSchool Aptitude Test PowerSchool Aptitude Test: Numerical Reasoning 2 — Questions and Answers
Question 1: What is the next number in the sequence: 3, 9, 27, 81, ___?
- 162
- 243 (Correct answer)
- 256
- 189
Correct answer: 243
Each term is multiplied by 3, so 81 × 3 = 243.
Question 2: A school collects $1,200 in fees from 40 students. How much will it collect from 60 students at the same rate?
- $1,600
- $1,800 (Correct answer)
- $1,500
- $2,000
Correct answer: $1,800
Fee per student = $1,200 / 40 = $30; total for 60 students = $30 × 60 = $1,800.
Question 3: A student reads 45 pages in 1.5 hours. At this rate, how many pages can they read in 4 hours?
- 120 (Correct answer)
- 135
- 140
- 180
Correct answer: 120
Reading rate = 45 / 1.5 = 30 pages/hour; in 4 hours = 30 × 4 = 120 pages.
Question 4: If 5 school buses carry 240 students in total, how many students can 8 buses of the same size carry?
- 340
- 360
- 384 (Correct answer)
- 400
Correct answer: 384
Students per bus = 240 / 5 = 48; for 8 buses = 48 × 8 = 384.
Question 5: A teacher has 180 minutes of class time and divides it equally among 6 subjects. How many minutes are allocated to each subject?
- 25
- 30 (Correct answer)
- 35
- 40
Correct answer: 30
180 minutes ÷ 6 subjects = 30 minutes per subject.
Question 6: In a school of 600 students, 15% are absent on a given day. How many students are present?
- 510 (Correct answer)
- 500
- 490
- 520
Correct answer: 510
Present students = 600 × (1 − 0.15) = 600 × 0.85 = 510.
Question 7: A student scored 68, 74, 82, and 76 on four tests. What is their average score?
- 74
- 75 (Correct answer)
- 76
- 72
Correct answer: 75
(68 + 74 + 82 + 76) / 4 = 300 / 4 = 75.
What is the next number in the sequence: 3, 9, 27, 81, ___?