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  1. Problems
  2. /KEAM

KEAM problems

1802 problems for KEAM 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)AMUEEEAP EAPCETBCECEBITSATCOMEDK UGETCUET UGGaokaoGUJCETInternational OlympiadJCECEJKCETKCETKIITEELPUNESTMET (Manipal)MHT-CETOJEEPCAP (Python Institute)PCEP (Python Institute)SRMJEEETS EAPCETUPESEATVITEEEWBJEE

Choose a topic to see its subtopics.

344 problems
Type:
1.
A ramp has a side wall whose top edge is the line y = 2x, with x and y in metres and 0 ≤ x ≤ 4… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
2.
On a map with distances in kilometres, the western shore of a lake is the y-axis… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+21APA-LevelIBStemPy LabStemPy Lab
Medium
3.
A thin metal plate is cut in the shape of the ellipse x²/49 + y²/25 = 1, where x and y are in… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+21APA-LevelIBStemPy LabStemPy Lab
Medium
4.
A drainage channel is being built through a market town… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
5.
A straight road runs east along the x-axis of a map… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+21APA-LevelIBStemPy LabStemPy Lab
Medium
6.
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+21APA-LevelIBStemPy LabStemPy Lab
Hard
7.
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+20APA-LevelIBStemPy LabStemPy Lab
Hard
8.
A ranger in Cornwall is protecting a sand dune from walkers… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+21APA-LevelIBStemPy LabStemPy Lab
Advanced
9.
The cross-section of a road cutting is drawn with x and y in metres… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
10.
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+21APA-LevelIBStemPy LabStemPy Lab
Hard
11.
A park designer draws a flower bed between two curved edges… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
12.
A trench is dug beside a wall. A scale drawing uses metres, with the x-axis along ground level… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
13.
A window is shaped like the ellipse x²/9 + y²/4 = 1, with x and y in decimetres (dm)… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
14.
A decorative mirror is cut from a circular sheet of glass… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
15.
Two cycle lanes are drawn on a map in kilometres… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
16.
A glass roof light is made as a flat panel… New
High School (11–12) · Application of IntegralsJEE MainAPA-Level+21APA-LevelIBStemPy LabStemPy Lab
Hard
17.
A map shows a lake. One unit on the map is 100 m… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
18.
A glass bead is made by turning the region between the curves y = √x and y = x/2 about the x-axis… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
19.
A wood turner shapes a solid ornament on a lathe… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
20.
A potter makes a bowl by turning the curve x² = 8y about the y-axis… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
21.
A kettle on a mains supply draws the power p(t) = 1800 sin²(100π t) watts, with t in seconds… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
22.
A warehouse robot moves along a straight rail… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
23.
A rain gauge in a hill town records the rainfall intensity R(t) = 12te^(-t/2) millimetres per hour… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
24.
A landscape gardener lays a curved border of stones along the graph of y = x²/4 - (ln x)/2, from x… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Medium
25.
A power cable hangs between two poles of equal height, 30 m apart… New
High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy LabStemPy Lab
Hard
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