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Mathematics · May / June 2026 · Paper 43 · Question 19

0580

As printed in the paper

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  • 19(a)[3]

    2280 final answer [3]

    B2 for 280 × ×

    or M2 for 2000 3.5 4 + 2000 oe 100 × ×

    or M1 for 2000 3.5 4 oe 100

  • 19(b)[3]

    15 [3]

    B2 for 14.9[2...] Note: if (1 + 3.2%) used award credit only if OR evaluations are correct. 14 3.2 4662.[…], accept 4660 +

    M2 for 3000 × 1 evaluated oe 100 3.2 = log 4800 1 + For M2 accept nlog 100 3000 15 3.2 + 4811.[…] or 4812, accept 4810 or 3000 × 1 evaluated oe 100 or 1.03214 and 4800 1.5[54…] and 1.6 3000 evaluated or 1.03215 and 4800 1.603[…] and 1.6 3000 evaluated Guidance [2]

    n 3.2 × +

    or M1 for 3000 1 100 oe M1 may be implied by any value in the 3rd column or any value in the second column compared with (accept n or a value of n > 1) 1.6 . Accept values in 3rd column to 3sf or better. 3000 oe (allow = , <, ⩽, ⩾) n 3.2 > 4800 1.032n 3000 × 1.032n + n or 1 100 1.0[65…] 3195.0… 2 1.0[99…] 3297.3… 3 1.1[34…] 3402.8… 4 1.1[70…] 3511.7… 5 1.2[08…] 3624.0… 6 1.2[46…] 3740.0… 7 1.2[86…] 3859.7… 8 1.3[27…] 3983.2… 9 1.3[70…] 4110.7… 10 1.4[14…] 4242.2… 11 1.4[59…] 4378.0… 12 1.5[06…] 4518.1… 13 1.6[55…] 4965.8… 16

  • 19(c)[3]

    3[.00..] or 2.999…. nfww [3]

    Note: if (1 + 19.4%) or (119.4%) used, award credit only if evaluations are correct. +

    M2 for 6 100 1 9.4 M2 implied by 2.99… or 1.03 or 1.0299… 100 +

    or M1 for [P](…)6 = [P] 100 19.4 100

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