How many Recurrence relation population model practice questions are there?

There are 6 self-marking GCSE Maths questions on Recurrence relation population model, written for AQA, Pearson, OCR across Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Recurrence relation population model?

No. You can start practising Recurrence relation population model straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Financial Maths

Recurrence relation population model

Q: What are the common mistakes in Recurrence relation population model?

Reused given term instead of computing Did not check whether new multiplier exceeds one Applies a growth/decay step one time too many by treating the starting value as needing growth applied, rather than as the value before the first growth step

6 self-marking GCSE practice questions on Recurrence relation population model, written specifically for AQA, Pearson, OCR across Higher tier. Instant marking with full worked solutions on every question.

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Sample Recurrence relation population model questions

A few of the 6 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 11 markGrade 6-7
1600 fish are released into a new lake with no fish. The number of fish is expected to increase by 5% each year. A graph is plotted showing the expected number of fish for each of the first 4 years, based on this 5% growth model. A maximum of 2000 fish can actually live in the lake. What effect would you expect this maximum to have on the shape of the graph after 4 years?
Show the worked solution
The 5% growth model predicts the fish population increasing forever, without limit. But the lake can only support a MAXIMUM of 2000 fish.
As the population approaches this maximum, the real growth rate would slow down (there isn't enough space/food to sustain the full 5% increase), so the graph would start to level off, flattening towards a horizontal line at 2000 fish rather than continuing to curve upward as the pure exponential model predicts.
Question 22 marksGrade 6
The number of animals in a population at the start of year $t$ is $P_t$

What are the common mistakes in Recurrence relation population model?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Reused given term instead of computing
Gave $P_2$ again instead of computing $P_3$ using the recurrence relation $P_3 = kP_2$

Quick answers about Recurrence relation population model

How many Recurrence relation population model practice questions are there?: There are 6 self-marking GCSE Maths questions on Recurrence relation population model, written for AQA, Pearson, OCR across Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Recurrence relation population model?: No. You can start practising Recurrence relation population model straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.