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  1. Problems
  2. /AMUEEE

AMUEEE problems

2413 problems for AMUEEE practice, in Physics, Chemistry and Mathematics, each with a worked solution. Try each one on paper first, then check your answer.

Other examsJEE MainJEE AdvancedNEETBoard ExamOlympiadSATAPA-LevelIBAEEE (Amrita)AP EAPCETBCECEBITSATCMI EntranceCOMEDK UGETCUET UGGaokaoGUJCETIAT (IISER)International OlympiadISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEEPCAP (Python Institute)PCEP (Python Institute)SRMJEEETS EAPCETUPESEATVITEEEWBJEE

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485 problems
Type:
1.
A shop records the time that 60 customers spend at the counter… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
2.
A transport office studies how long 70 passengers waited for a bus at one stop on a busy morning… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
3.
A farm packs eggs in baskets and records how many eggs each basket holds… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
4.
A coaching centre grouped the scores of 50 students in a practice test, out of 100… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
5.
A clinic records how long each of 20 patients spent with the doctor… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
6.
A teacher marks five short tests out of 10… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
7.
A raffle uses n tickets, numbered in an arithmetic sequence: the first ticket is numbered 5, and… New
High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy LabStemPy Lab
Advanced
8.
A biology student measures the heights of six bean seedlings, in centimetres: 5, 7, 8, 12, 13 and… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
9.
A test was marked out of 60. The marks have a mean of 45 and a standard deviation of 6… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
10.
A weather station records the noon temperature on many days of a month… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
11.
A gardener measures the height of seedlings in two plots, in centimetres… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
12.
An exam board checks the marks of 25 candidates… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
13.
A researcher measures the same quantity in two groups of 50 people each… New
High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy LabStemPy Lab
Advanced
14.
A shop records the number of customers who came in on 11 different days: 22, 25, 27, 30, 31, 34… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
15.
A weather station records the daily rainfall, in millimetres, on twelve days of a month: 2, 3, 3… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
16.
The scores of a large group in an aptitude test have a first quartile of 40, a median of 50 and a… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
17.
A researcher records the age x of eight cars, in years, and the repair cost y of each in hundreds… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
18.
A health clinic records the heights, in centimetres, and masses, in kilograms, of six teenagers… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
19.
Two judges rank six paintings in a school art show, with 1 for the best… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
20.
A shop records the price x of an item in rupees tens, and the number sold y in a week, at six… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
21.
A study of two variables gives the two regression lines 6x - 5y + 10 = 0 and 10x - 3y - 26 = 0… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
22.
The regression lines of y on x and of x on y for some data have the correlation r = 0.6, with σx =… New
High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy LabStemPy Lab
Advanced
23.
A dealer records the age x of six cars in months and the value y of each in hundreds of pounds: x =… New
High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
24.
A farmer records the number of days x since a seedling was planted and its height y in centimetres… New
High School (11–12) · StatisticsJEE MainAPA-Level+26APA-LevelIBStemPy LabStemPy Lab
Hard
25.
Two cards are dealt from a well-shuffled pack of 52 cards, one after the other, without replacement… New
High School (11–12) · Random Variables and Probability DistributionsAPA-LevelIB+19APA-LevelIBStemPy LabStemPy Lab
Medium
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