LC Ordinary Maths case studies
LC Ordinary Maths · Put your knowledge to work in context.
Leaving Certificate Mathematics at Ordinary Level is the standard-tier maths subject taken by Irish senior-cycle students, and it is also relevant to mature students, repeat candidates and anyone who needs a recognised school-leaving maths qualification for work, apprenticeships or further study. Ordinary Level sits between Foundation and Higher Level, so the algebra and calculus are gentler than Higher Level but the syllabus is still broad: you will meet functions and graphs, differentiation and integration, co-ordinate geometry of the line and circle, probability and statistics, trigonometry including the sine and cosine rules, and financial maths such as compound interest and annuities. The LC Ordinary Maths case studies are 5 cases and about 2,684 words.
1Garden Plot with a Fixed Perimeter and Diagonal
A community garden committee has a rectangular plot with a perimeter of 34 m and a diagonal of 13 m. They need the exact length and width before ordering timber edging, which is sold in 1 m lengths and must be rounded up.
670 words, about 3 min2Water Rocket Height Model
A water rocket is launched from a 1.5 m high platform. Its height h metres above the ground after t seconds is modelled by h(t) = −5t² + 20t + 1.5 for 0 ≤ t ≤ 4.5.
577 words, about 3 min3Triangular Plaza on a Grid
Three proposed community facilities are marked on a grid where one unit represents 10 m: a playground at A(−2, 1), a sports hall at B(4, 5) and a clinic at C(8, −1). The council wants to link them with straight paths and turn the triangle ABC into a paved plaza.
507 words, about 3 min4Language and Sport Survey with a Fundraising Game
A school of 200 students surveys participation in a language and a sport. The results show 120 students study a language, 90 play a sport, and 40 do both.
464 words, about 2 min5Saving for a Trip: Monthly Plan versus Lump Sum
Niamh is 16 and wants to have money for a trip in two years. She can save €40 in month 1 and increase the amount by €8 each month for 24 months, with no interest.
466 words, about 2 min