Problem of the Week - Teacher page

Help your students develop their mathematical problem-solving skills

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 accessible to students 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. Worked solutions are not accessible to students. A student can only access the worked solution to a particular problem if you (the teacher) permit access. This 'Teacher page' is also 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	solution_1	integral calculus; areas (SL) and volume (HL); GDC allowed
PotW_2	solution_2	expected value for lottery and 'fair' game; GDC allowed
PotW_3	solution_3	domain, range and equation of tangent in terms of a constant; No GDC
PotW_4	solution_4	challenging problem requiring geometry & trigonometry; No GDC
PotW_5	solution_5	integral calculus; bisecting shape modelling a piece of toast. GDC allowed
PotW_6	solution_6	area of overlap of 2 circles; sectors & segments; calculus. GDC allowed
PotW_7	solution_7	rigorous application of cosine rule; using GDC to find max of a function
PotW_8	solution_8	geometry & trig; area bounded by circle & absolute value graph; No GDC
PotW_9	solution_9	integral calculus; area bounded by parabola & line (parabolic segment); No GDC
PotW_10	solution_10	trigonometry; find 2 different methods for proving result for an isosceles triangle
PotW_11	solution_11	sequences; 3 terms belong to both an arithmetic and a geometric sequence
PotW_12	solution_12	2 probability problems involving geometry & trigonometry; no GDC
PotW_13	solution_13	angles of a triangle consecutive terms of an arithmetic sequence; GDC allowed
PotW_14	solution_14	finding formulas for sequences; no GDC
PotW_15	solution_15	finding formula for area of regular n-sided polygon inscribed in a circle; no GDC
PotW_16	solution_16	probability of winning 3 out of 4 compared to 5 out of 8; GDC allowed
PotW_17	solution_17	finding the volume of a donut (torus) - a solid of revolution; no GDC
PotW_18	solution_18	algebraic thinking to solve a genuine 'word' problem; no GDC
PotW_19	solution_19	exact ratio of areas of two regular pentagons; no GDC
PotW_20	solution_20	fun with random numbers, probability, triangles and \pi ;  no GDC
PotW_21	solution_21	plenty of algebra with a geometric sequence; no GDC
PotW_22	solution_22	finding two inflexion points to an unusual curve without a GDC
PotW_23	solution_23	proof (counterexample & direct proof) and trigonometry; GDC allowed
PotW_24	solution_24	given perimeter & altitude of a right Δ, find exact length of sides; GDC allowed
PotW_25	solution_25	pure algebra challenge (with a hint); no GDC
PotW_26	solution_26	explore & apply relationship between integration & differentiation; no GDC
PotW_27	solution_27	finding exact area with geometry & trigonometry; no GDC
PotW_28	solution_28	find diagonal of a trapezium in terms of an angle & sides of trapezium; no GDC
PotW_29	solution_29	problem-solving & algebra to find the exact area of a circle; GDC allowed