Higher November 2021 Paper 1 Q20
20 The diagram shows the graph of \(x^2 + y^2 = 30.25\)
Use the graph to find estimates for the solutions of the simultaneous equations
\(x^2 + y^2 = 30.25\)
\(y - 2x = 1\) (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(x = 2.1\), \(y = 5.1\) \(x = -2.9\), \(y = -4.7\) | M1 | for drawing the graph of \(y - 2x = 1\) |
| A1 | for one correct pair of values or for both correct \(x\) values, or for both correct \(y\) values | |
| A1 | for both correct pairs, correctly matched |
Additional guidance
For both A marks accept answers in the ranges
\(x = 2.0\) to 2.2, \(y = 5.0\) to 5.2
\(x = -2.8\) to \(-3.0\), \(y = -4.6\) to \(-4.8\)
Accept values given as coordinates