Question 1
Editorial self-study SET for 2027; not an official SASMO 2027 examination. Known source years remain in individual attributions. Time: 90 minutes. Platform scoring starts at 0: Q1–15 are worth 2 points each; Q16–25 are worth 4 points each; wrong and blank answers score 0; maximum 70. Official SASMO scoring instead starts at 15, deducts 1 for an incorrect Section A answer and has a maximum of 85. Verified means editorially checked; assumptions, source errors and mathematical uncertainty are disclosed where relevant.
The radius of the circumscribing circle is 3 cm. Find the area of the shaded region, in cm².
Enter a number only.
Diagram convention: the four inner circles are congruent, each passes through the centre of the outer circle and is internally tangent to it at one of four equally spaced points. Overlap lenses are unshaded. These geometric relationships are implicit in the source drawing.
The radius of the circumscribing circle is 3 cm. Find the area of the shaded region, in cm².
Enter a number only.
Diagram convention: the four inner circles are congruent, each passes through the centre of the outer circle and is internally tangent to it at one of four equally spaced points. Overlap lenses are unshaded. These geometric relationships are implicit in the source drawing.