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Mathematics · Oct / Nov 2025 · Paper 22 · Question 23

0580

As printed in the paper

The question as text

NOT TO SCALE Í A 240ï 12 cm O The diagram shows a major sector, AOÍ, of a circle. The sector angle is 240° and the radius is 12 cm.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 23(a)[1]

    240 360 ××π× 2 12 oe [1]

    M1

  • 23(b)[6]

    ( ) π 256 5 cao 3 [12]

    B5 for answer ( ) or ( ) 6 π 256 5 256 5 3 3 seen then spoilt or an answer equivalent to ( ) π 256 5 3 but not in required form OR

    B2 for radius of cone = 8 oe

    or M1 for 2πr = 16π

    B2 for [height of cone =] 80 oe

    or M1 for 122 = their 82 + h2 or better 1 ×π× × M1dep for their 8 2 their 80 oe 3 dep on attempt at Pythagoras to find height of cone

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