Higher June 2019 Paper 2 Q9
9 The circumference of circle B is 90% of the circumference of circle A.
(a) Find the ratio of the area of circle A to the area of circle B. (2)
Square E has sides of length \(e\) cm.
Square F has sides of length \(f\) cm.
The area of square E is 44% greater than the area of square F.
(b) Work out the ratio \(e : f\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 100 : 81 | M1 | for a scale factor of 0.9 oe used; OR for 10 : 9 oe OR 81 : 100 oe OR 81% |
| A1 | for 100 : 81 oe eg 1 : 0.81, accept 1.23(4...) : 1 |
| Answer | Mark | Mark scheme |
|---|---|---|
| 6 : 5 | P1 | for 1.44 oe used as the scale factor or 1.2 oe OR for 144 : 100 oe or \(\sqrt{144} : \sqrt{100}\) oe OR 5 : 6 oe |
| A1 | for 6 : 5 oe eg 1.2 : 1, accept 1 : 0.83(3...) |