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 laboratory compares the hydrogen ion concentrations of two aqueous solutions. Figure 1 shows the measured concentrations. For these solutions, the one with the greater hydrogen ion concentration is more acidic.
For the pH calculations, use
where is the numerical value of the hydrogen ion concentration in
Write down the hydrogen ion concentration of solution B in standard form, including its unit.
Calculate the pH of solution A, giving your answer to 2 decimal places.
Determine the ratio of the hydrogen ion concentration of solution A to that of solution B, giving your answer in standard form.
Hence state which solution is more acidic.
A point on an Argand diagram is represented by
Write down the real part and the imaginary part of
Write down the complex conjugate of
Determine the distance of from the origin, in units.
Use your GDC to calculate giving your answer in Cartesian form.
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