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CBSE Class 10 answer-writing practice
Practice marking, not your board score
Write your answer to a written question from CBSE's Mathematics (Standard) 2026-27 and Science 2026-27 sample papers, then get it marked point by point. The points split the marks the way CBSE's marking scheme for that paper does; the wording of the points is Shishya's. Marking is done by AI, so it can be wrong — compare with the worked solution and CBSE's marking scheme. Marking needs a free account (students 13 and above), up to 5 answers a day; your answer is not saved.
Q21(A) (2 marks) — A hall is 9.75 m × 6.75 m × 5.25 m. Longest ruler that measures all three dimensions exactly.
What the marks are for
- Puts the three lengths in one unit (975, 675, 525 cm) and says the ruler's length is their HCF — 0.5 marks
- Correct prime factorisation of the three numbers — 1 mark
- HCF = 75, so the ruler is 75 cm (0.75 m) — 0.5 marks
Practice marking, not your board score. Marked by AI against the points above; your answer is not saved.
Questions you can practise
- Mathematics (Standard) 2026-27 · Q21(A) (2 marks) — A hall is 9.75 m × 6.75 m × 5.25 m. Longest ruler that measures all three dimensions exactly.
- Mathematics (Standard) 2026-27 · Q23 (2 marks) — If tan θ = 1/√5, find (cosec²θ − sec²θ)/(cosec²θ + sec²θ).
- Mathematics (Standard) 2026-27 · Q24 (2 marks) — Area of a sector of a circle of diameter 28 cm whose arc is 22 cm long.
- Mathematics (Standard) 2026-27 · Q25 (2 marks) — Two dice are thrown. Probability that the product of the numbers is a prime number.
- Mathematics (Standard) 2026-27 · Q26 (3 marks) — Given that √3 is irrational, prove that 2 + 3√3 is irrational.
- Mathematics (Standard) 2026-27 · Q27 (3 marks) — α and β are the zeroes of 2x² − 8x + 5. Find (α + 1/β)(β + 1/α).
- Mathematics (Standard) 2026-27 · Q28(A) (3 marks) — A polygon's smallest exterior angle is 8° and each next exterior angle is 4° more. How many sides does it have?
- Mathematics (Standard) 2026-27 · Q29 (3 marks) — Prove that a parallelogram circumscribing a circle is a rhombus.
- Mathematics (Standard) 2026-27 · Q30 (3 marks) — In what ratio does the x-axis divide the segment joining (−4, −6) and (−1, 7)? Find the point of division.
- Mathematics (Standard) 2026-27 · Q32 (5 marks) — A 50 m × 40 m park has a rectangular pool in the middle with a grass strip of uniform width around it. The strip's area is 1184 m². Find the pool's dimensions.
- Mathematics (Standard) 2026-27 · Q34(A) (5 marks) — A tent is a cylinder (height 3 m, radius 14 m) with a cone on top; total height 13.5 m. Canvas needed, with 26 m² extra for stitching and wastage, and its cost at ₹250 per m².
- Mathematics (Standard) 2026-27 · Q35(B) (5 marks) — From the top of a lighthouse the angles of depression of two ships on the same side are 45° and 30°; the ships are 200 m apart, one behind the other. Height of the lighthouse.
- Science 2026-27 · Q10 (2 marks) — (A) If the bile duct narrows and bile cannot reach the small intestine, how is digestion affected? (B) How does intestine length depend on an animal's food habit?
- Science 2026-27 · Q12 (2 marks) — What changes happen in the uterus after the embryo is implanted?
- Science 2026-27 · Q13 (3 marks) — How do muscles move at the cellular level when they receive messages from the brain?
- Science 2026-27 · Q25 (2 marks) — Carbon forms millions of compounds but silicon, just below it in the Periodic Table, forms only a few. Why?
- Science 2026-27 · Q27 (3 marks) — Give reasons: (A) a sports electrolyte drink conducts electricity but coconut oil does not; (B) the milkiness of lime water disappears with excess CO₂; (C) an iron bridge near the sea rusts faster than one in a dry hilly area.
- Science 2026-27 · Q33 (2 marks) — (A) State Snell's law. (B) Define the refractive index of one medium with respect to another, with the expression.
- Science 2026-27 · Q35 (3 marks) — A concave lens forms an image one-third the size of the object, which is 24 cm in front of the lens. Find (A) the type of lens, (B) the image distance, (C) the focal length.
- Science 2026-27 · Q36 (3 marks) — (A) State the right-hand thumb rule and how it gives the field direction round a current-carrying wire. (B) How does the field change with distance from the wire?
- Science 2026-27 · Q37 (3 marks) — A 15 V battery is in series with resistors of 2 Ω, 3 Ω and 5 Ω. Find (A) the total resistance, (B) the current, (C) the voltage across the 3 Ω resistor. (Solved for the version CBSE prints for visually impaired candidates, which needs no figure.)
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