P.o.t.W. Problems-Teachers
Problem of the Week - Teacher page
Clicking on a problem listed in the table below will open a new page displaying the problem. All of the Problem of the Week (P.o.t.W.) pages are denoted as 'direct student access' making them easy to assign to students using student access on this site. A worked solution is available for each problem and can be accessed by clicking on the pertinent solution link in the table below. Worked solutions are denoted as 'filtered student access' so a student can only access them if you (the teacher) permit access. This 'Teacher page' page is not accessible to students.
Green indicates that a GDC is allowed; red indicates no GDC.
| Problem of the Week | Solution | Brief description of P.o.t.W. |
PotW_1_16-11-19   | solution_1 | integral calculus; areas (SL) and volume (HL); GDC allowed |
| PotW_2_26-11-19 | solution_2 | expected value for lottery and 'fair' game; GDC allowed |
| PotW_3_02-12-19 | solution_3 | domain, range and equation of tangent in terms of a constant; No GDC |
| PotW_4_13-12-19 | solution_4 | challenging problem requiring geometry & trigonometry; No GDC |
| PotW_5_02-01-20 | solution_5 | integral calculus; bisecting shape modelling a piece of toast. GDC allowed |
| PotW_6_22-01-20 | solution_6 | area of overlap of 2 circles; sectors & segments; calculus. GDC allowed |
| PotW_7_10-02-20 | solution_7 | rigorous application of cosine rule; using GDC to find max of a function |
| PotW_8_21-05-20 | solution_8 | geometry & trig; area bounded by circle & absolute value graph; No GDC |
| PotW_9_31-05-20 | solution_9 | integral calculus; area bounded by parabola & line (parabolic segment); No GDC |
| PotW_10_17-07-20 | solution_10 | trigonometry; find 2 different methods for proving result for an isosceles triangle |
| PotW_11_02-08-20 | solution_11 | sequences; 3 terms belong to both an arithmetic and a geometric sequence |
| PotW_12_29-08-20 | solution_12 | 2 probability problems involving geometry & trigonometry; no GDC |
| PotW_13_05-12-20 | solution_13 | angles of a triangle consecutive terms of an arithmetic sequence; GDC allowed |
| PotW_14_07-09-21 | solution_14 | finding formulas for sequences; no GDC |
| PotW_15_12-01-22 | solution_15 | finding formula for area of regular n-sided polygon inscribed in a circle; no GDC |
| PotW_16_06-09-22 | solution_16 | probability of winning 3 out of 4 compared to 5 out of 8; GDC allowed |
| PotW_17_29-09-22 | solution_17 | finding the volume of a donut (torus) - a solid of revolution; no GDC |
| PotW_18_02-01-23 | solution_18 | algebraic thinking to solve a genuine 'word' problem; no GDC |
| PotW_19_27-02-24 | solution_19 | exact ratio of areas of two regular pentagons; no GDC |
| PotW_20_05-03-24 | solution_20 | fun with random numbers, probability, triangles and \(\pi \) ; no GDC |