Heights and Distances Practice Questions with Detailed Solutions – Level 3
Hard Heights and Distances problems on cloud reflections, broken trees, sliding ladders, kites, aeroplanes and boats nearing a cliff, each with a full worked solution.
- 50 Qs
Untimed concept drills
Topic-wise question sets for practising one concept at a time. Every answer is checked the moment you give it, with the solution beside it, and there is no clock unless you choose one.
Showing 469–480 of 659 drills
Free onlyRemove filterHard Heights and Distances problems on cloud reflections, broken trees, sliding ladders, kites, aeroplanes and boats nearing a cliff, each with a full worked solution.
Medium-level heights and distances practice on two-angle setups: walking observers, ships seen from lighthouses, flagstaffs on buildings, eye-level corrections and changing shadows, with worked steps.
Beginner heights and distances practice on angles of elevation and depression, shadows, ladders, kite strings, boats seen from cliffs and trees broken in a storm.
Advanced trigonometric identity problems: co-ratio angle equations, sixth powers, double-angle maxima, parameter substitutions and reciprocal extremes, with full worked solutions.
Intermediate trigonometric identity problems on higher powers, tangent products, shifted maximum and minimum values and eliminating theta, each explained step by step.
Beginner practice on trigonometric identities: Pythagorean identities, complementary angles, standard values and the maximum and minimum of sine-cosine expressions, with worked solutions.
Advanced coordinate geometry practice on section formula ratios, centroid and midpoint vertices, collinearity, quadrilateral area, and equations of medians and perpendicular bisectors.
Advanced polynomial problems on remainders by quadratic divisors, the factor theorem, zeroes in arithmetic progression, symmetric expressions of zeroes and HCF and LCM of polynomials.
Hard-level reasoning practice on mirror and water images, covering clock mirror times, reverse clock problems, water images of letter-number strings and figures reflected in mirrors placed left, right or above.
This Level 2 set of Mirror and Water Images has medium-level reasoning questions on water images, mirror images of figures and strings, and clock mirror times.
Level 1 practice on mirror images, water images of figures and letter-number strings, and clock mirror times, with clear explanations of how each reflection forms.
Hard Counting Figures practice on triangles, squares, rectangles and minimum straight lines, with a worked solution that shows a systematic counting method for each figure.
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One topic at a time, untimed, with each answer checked and explained as you go.
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Mock tests