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All possible straight lines joining the vertices of a cube with mid-points of its edges are drawn. At how many points inside the cube do two or more of these lines meet?

Most JCs by now should be embarking on their Statistics Journey. I know a school that is finishing up really fast, and I think they will easily finish the syllabus by May. So I notice many [...]

A student asked me this question recently. I think this is from AMC. There are 42 points placed on a straight line so that each distance from to is where . What is the sum of the distances [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) (i) Alternatively, (ii) When , required probability (b) Key GC with [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) P(B’|A) (iv) since A and C are independent (v)

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let X and Y denote the mass of a apple and pear in grams [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Number of ways ways (ii) Number of ways ways (iii) Number of ways [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Graph to be inserted (ii) (a) (4 DP) (b) (4 DP) (c) (4 DP) (iii) [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) since A and B are independent. (ii) (iii) If , (maximum) If , (minimum)

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. Let X denote the mass of pineapple tarts and denote the population mean [...]