Mathematics 0580 · IGCSE · Exponential growth and decay

Exponential growth and decay — practice question

(a) In 2023, a football club recorded 50 adult members and 70 child members. An adult membership fee was $40, whereas a child membership fee was $15.
(a(i))[2]

Calculate the total membership-fee income the club received in 2023.

(a(ii))[1]

Calculate $2780$ as a percentage of the membership-fee total received by the club.

(a(iii))[2]

Calculate how many members there were in 2022.

(a(iv)(a))[2]

Find how many members there were altogether in 2024.

(a(iv)(b))[2]

Calculate the percentage rise in the total number of members from 2023 to 2024.

(b(i))[2]

Calculate the population after 3 years.

(b(ii))[2]

Find the number of whole years needed for the population to fall below 2000 for the first time.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: The calculation is $50\times40+70\times15=3050$.

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