Category Archives: Algebra

IB Math Modelling tide using sine function

In a busy harbor, the time difference between successive high tides is about 12.3 hrs. The water level varies by 2.4 meters between high and low tide. Tomorrow, the first high tide will be 4.7 meters at this time. a). … Continue reading

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A problem on when one arithmetic sequence has a term twice the other arithmetic sequence term ?

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Precalculus Simple Interest

Sara’s parents decide to invest $500 on each of her birthday from the day she is born until she becomes 25. Each investment earns 6.4% /a simple interest. What will be the total amount of the investments when Sara is … Continue reading

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IB Math question on intersection between ln(2x-7) and 2 ln(x)

The function f and g are defined by where and where . State the equation of the vertical asymptote to the graph .

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Solving Olympiad style equation

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IB HL Paper 3 Question 2 on AS function (coefficients and roots are in Arithmetic Sequence) (Detailed solution)

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AoPS Problem 16.5.5 Problem.

A function f(x,y) of rwo variable has the property that . If , then what is t the value f(5,3)

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AoPS Problem 16.5.3 on using Function definition

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AoPS Problem 16.5.4 on a two digit number that is equal to sum of product of its digit and sum of its digits

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AMC 8 2020 Problem 24 on Ratio of areas

A large square region with gray squares tiles each measuring inches on a side. A border of inches wide surrounds each tile. The figure below show the case for . When the 576 gray tiles cover of the area of … Continue reading

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