Archive for the ‘Tutorial’ Category

Tutorial : Solving Equations Involving Logarithms Problem 1

Solve log105 – 1 = log10(2x + 7) – log10(x + 15). Taken from the Integrated Curriculum for Secondary Schools Additional Mathematics Form 4 2005 ed. page 86 Practice 16 Question 1(d) The laws of logarithms state that, logaxy = logax + logay logax/y = logax – logay logaxn = n logax First,...
February 21st, 2009 | Tutorial | Read More

Tutorial : Determining Approximate Values Problem 2

Given that y = 4x2 – 5x + 3. If x increases by 1.5% at the instant when x = 3, find the corresponding percentage change in y. Taken from the Integrated Curriculum for Secondary Schools Additional Mathematics Form 4 2005 ed. pg 215 Formative Exercise 9.5 Question 8 Recall that ynew = yinitial +...
February 20th, 2009 | Tutorial | Read More

Tutorial : Determining Approximate Values Problem 1

A cylinder has a fixed height of 12 cm and a radius of 5cm. If the radius shrinks by 0.05cm, find (a) the approximate change in the volume of the cylinder. (b) the final volume of the cylinder. Taken from the Integrated Curriculum for Secondary Schools Additional Mathematics Form 4 2005 ed. pg 214 Practice...
February 19th, 2009 | Tutorial | Read More

Tutorial : Indices Problem 1

Given the equation 22x + 1 X 3x – 1 = 8x X 32x. Show that 6x = 2/3. Taken from the Integrated Curriculum for Secondary Schools Additional Mathematics Form 4 2005 ed. page 76 Formative Exercise 5.1 Question 4 This question is quite simple as long as you remember the law of indices The law of indices...
February 16th, 2009 | Tutorial | Read More

Tutorial : Quadratic Equation Problem 1

I was given a mathematical problem recently. It was a basic problem but it took me a while to solve it as I had not been practicing my mathematics for a long time – thanks to the summer break! Anyway, here goes. Given px2 – p(3x – 1) + 3x – 1, and whereby the two roots of the...
January 22nd, 2009 | Tutorial | Read More

Tutorial : Kinematics Problem 1

An object accelerates from rest with constant acceleration and covers a distance of x at t = 4 and covers a distance of y at t = 6. Find x:y. Note that this question was taken from the National Physics Quiz 2007. I got a ratio of 4:9 while the answer states that it should be 9:13. Now, do it for yourself....
July 25th, 2008 | Tutorial | Read More