AP EAPCET problems

2328 problems for AP EAPCET practice, in Physics, Chemistry, Mathematics and Biology, each with a worked solution. Try each one on paper first, then check your answer.

All SubjectsPhysicsChemistryMathematicsBiologyPython ProgrammingStatistics & Data Science

All LevelsHigh School (9–10)High School (11–12)General

All TopicsAlgebraNumber SystemsGeometryCoordinate GeometryTrigonometryStatistics and ProbabilityFunctions and Calculus

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↺ Reset filtersSortMixedNewest firstOldest firstA to Z344 problems

Type:AnyConceptualNumerical

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 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 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 Lab

Medium

4.

A drainage channel is being built through a market town… New

High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy 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 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 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 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 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 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 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 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 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 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 Lab

Hard

15.

Two cycle lanes are drawn on a map in kilometres… New

High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy 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 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 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 Lab

Medium

19.

A wood turner shapes a solid ornament on a lathe… New

High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy 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 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 Lab

Medium

22.

A warehouse robot moves along a straight rail… New

High School (11–12) · Application of IntegralsAPA-LevelIB+20APA-LevelIBStemPy 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 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 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 Lab

Hard