Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.
A neighbourhood repair fund plans to increase its annual contribution by the same amount each year. Figure 1 shows the planned contributions for the first three years.
The planned contributions form an arithmetic sequence.
Write down the first term and the common difference of the sequence.
Find the planned contribution for year 8.
Calculate the total planned contributions for the first eight years.
A town records the annual grants it gives to a park. The recorded grants are not exactly arithmetic, so an arithmetic model is to be used for estimating future grants. Use the values for years 1 and 5 to estimate the common difference.
Write down the first term of the arithmetic model.
Estimate the common difference and hence write an expression for the estimated grant, in year
Write, in sigma notation, an expression for the total estimated grants in years 1 to 6, and calculate this total.
Using the model, determine the first year in which the estimated grant exceeds $7000.
Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.