Problem Solving Strategies Flashcards
6 cards from real UMAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Problem Solving Strategies flashcards as text
A UMAT numerical reasoning problem: If 4 nurses treat 24 patients in 6 hours, how many patients can 6 nurses treat in the same time (assuming constant rate)?
Answer: 36
Each nurse treats 24/4 = 6 patients in 6 hours; 6 nurses treat 6 × 6 = 36 patients.
In a UMAT sequence problem: 2, 5, 11, 23, 47, __ — what is the next number?
Answer: 95
Each term is calculated as (previous term × 2) + 1: 2×2+1=5, 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.
A UMAT problem gives you these clues: X + Y = 10, X - Y = 4. What is X?
Answer: 7
Adding both equations: 2X = 14, so X = 7.
In a UMAT time-management problem, a task takes 45 minutes but must be finished 30 minutes before a 3 PM deadline. What is the latest the task can start?
Answer: 1:45 PM
The task must finish by 2:30 PM (30 min before 3 PM); starting 45 minutes before 2:30 PM means starting at 1:45 PM.
A UMAT problem states: 'In a group of 30 students, 18 study biology and 15 study chemistry. 7 study both.' How many students study only chemistry?
Answer: 8
Students studying only chemistry = total chemistry students - those studying both = 15 - 7 = 8.
In a UMAT rate problem: A lab processes 120 samples in 8 hours. At this rate, how many samples can it process in 5 hours?
Answer: 75
Rate = 120/8 = 15 samples per hour; in 5 hours: 15 × 5 = 75 samples.
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