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  1. Problems
  2. /ISI Admission Test

ISI Admission Test problems

177 problems for ISI Admission Test practice, in Mathematics and Statistics & Data Science, each with a worked solution. Try each one on paper first, then check your answer.

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

Pick a subject to see its topics.

133 problems
Type:
1.
A power cable hangs between two poles of equal height, 30 m apart… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
2.
A warehouse robot moves along a straight rail… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
3.
A potter makes a bowl by turning the curve x² = 8y about the y-axis… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
4.
A wood turner shapes a solid ornament on a lathe… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
5.
A map shows a lake. One unit on the map is 100 m… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
6.
A glass roof light is made as a flat panel… New
High School (11–12) · Application of IntegralsJEE MainAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
7.
A decorative mirror is cut from a circular sheet of glass… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
8.
An irrigation channel on a farm has a cross-section shaped like the parabola y = x²… New
High School (11–12) · Application of IntegralsJEE MainAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
9.
A ranger in Cornwall is protecting a sand dune from walkers… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Advanced
10.
A glass artist designs a window panel. Seen from the front, the lead outline follows the curve y =… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
11.
A signal generator in a school laboratory produces a voltage v = 3 sin 2t volts, where t is the… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
12.
A drainage channel is being built through a market town… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
13.
A student studies the sums Sn = 1/(n + 1) + 1/(n + 2) + … + 1/2n, which have n terms… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
14.
A train on a model railway leaves a station and speeds up, and a meter records its speed… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
15.
A teacher tells her class that some integrals hide a symmetry… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
16.
Water flows into an empty tank at the rate r(t) = 12 - 2t litres per minute for 0 ≤ t ≤ 6, where t… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
17.
A coil is connected to a circuit in a radio receiver, and the current in it dies away while it… New
High School (11–12) · IntegralsJEE MainAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
18.
A patient takes a tablet, and the drug enters the blood from the stomach… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
19.
In a chemistry lab, two substances A and B react to form a product… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
20.
A biologist grows a culture of bacteria in a flask… New
High School (11–12) · IntegralsAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
21.
A thin plate in a machine that sorts small parts vibrates along a straight line, and a camera… New
High School (11–12) · IntegralsBoard ExamAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
22.
A technician studies a circuit that has a rectifier in it… New
High School (11–12) · IntegralsBoard ExamAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
23.
A designer is planning the curved profile of a long roof… New
High School (11–12) · IntegralsBoard ExamAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
24.
A small factory makes a metal alloy, and the manager studies the cost of making q tonnes in one day… New
High School (11–12) · IntegralsBoard ExamAPA-Level+25APA-LevelIBStemPy LabStemPy Lab
Hard
25.
A walking path in a nature reserve follows the curve y = x² on a map, with x and y in kilometres… New
High School (11–12) · Application of DerivativesAPA-LevelIB+24APA-LevelIBStemPy LabStemPy Lab
Hard
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