MTSE 2010 -- STD IV ----- 4 years of schooling

MTSE test paper STD IV 2011 ---- 4 years of schooling

line of symmetry

   

maths activities

check out for activities in math

http://www.bbc.co.uk/schools/gcsebitesize/maths/activities.shtml

reference books

A good book for basic mathematics

http://www.cbtricks.com/miscellaneous/tech_publications/neets/basic_math_and_algebra.pdf

Circle

Circle C has the equation (x-4)² + (y-8)² =289
The point P (x,y) lies on C.
a) Find, in terms of x and y, the gradient of the tangent of C at P.
b) Hence, or otherwise, find an equation of the tangent to C at the point (21,8).

mensuration

A circular pipe has outer diameter 4 cm and thickness t cm.
a) Show that the area of the cross section, A cm², is given by A=pi(4t-t²)
b) Find the rate of increase of A with respect to t when t=1/4 and when t=1/2

maths activities

http://www.bbc.co.uk/schools/gcsebitesize/maths/activities.shtml

maths activities

http://www.bbc.co.uk/schools/gcsebitesize/maths/activities.shtml

Mock test IPM std 4 / std 5

http://downloads.bbc.co.uk/schools/gcsebitesize/maths/mocks/mathsmockf2_calc.pdf

reference

topics on Geometry, numbers, ratio, surds etc.

http://www.bbc.co.uk/schools/gcsebit...2hirev10.shtml

technique simultaneous equation

Solve the simultaneous equation:

2y – x = -4

y = 1 + 5x

miscellaneous equations

Solve the system of equation:

4x + 4y³ - 10y = 0 --------- (1)
12xy² - 10x + 2y = 0 -------- (2)

inequality

Solve the inequality:

(|x|-2)² >= x+4

mensuration

        

coefficient of restitution

           

Partial fractions

   

quadratic equation

    

inequality

Solve the inequality: x²(3 – x)(x – 2)²(x + 4)³ > 0

simultaneous equation

 

Numbers

For two natural numbers m &n prove that m³ + n³ + 4 cannot be a perfect cube

disguised quadratics

   

disguised quadratics

Solve for x: 4^x + 6^x = 9^x

Ratio and Proportion

 

STD 5 - clock

What is the angle between the hour arm and the minute arm of a clock at 3:15.

Time and Money

       A man invested Rs. 3300 in a bank on simple interest for 2 years at 5% p.a. Had the man invested the same principal at the same rate of interest for the same period compounded annually, what would be the percentage increase in the interest earned?

profit and loss

     I purchase some eggs for $100. 20% of the eggs break in transit, out of the remaining 25%was rotten. What profit percentage should I make on the remaining to get an overall 20% profit?