year10+archives


 * toc**

=**July**=

work out the hypotenuse side.
 * July 23nd 2007**

Calculate AD This is definitely one of the hardest number puzzles on this site. A teacher says: I'm thinking of two natural numbers bigger than 1. Try to guess what they are. The first student knows their product and the other one knows their sum. First: I do not know the sum. Second: I knew that. The sum is less than 14. First: I knew that. However, now I know the numbers. Second: And so do I. What were the numbers?
 * July 18th 2007**
 * July 9th 2007**

A teacher thinks of two consecutive numbers between 1 and 10. The first student knows one number and the second student knows the second number. The conversation of the students is as follows: First: I do not know your number. Second: Neither do I know your number. First: Now I know. Will you find all 4 solutions?
 * July 2nd 2007**

=June=

Calculate Spearman's Rank Correlation Coefficient of this data
 * June 25th 2007**

Simplify the following and solve math \dfrac{x^2+6x-7}{x^2-3x+2}=6 math
 * June 18th 2007**

Prove that: math \dfrac{\sqrt{125}-\sqrt{45}}{\sqrt{125}+\sqrt{45}}=\dfrac{1}{4} math
 * June 11th 2007**

Give the Minimum (or maximum) points for each of these quadratics: math y=(x+2)^2-4 math math y=x^2+4x-5 math math y=3+4x-x^2 math
 * June 4th 2007**

=May=

Simplify the following math \dfrac{3x+2}{x-2} math math \dfrac{2x^2-3}{3x+2} math math \dfrac{3x-4}{2x+1}+3x math
 * May 28th 2007**

If the radius of the circle is 10cm. What is the length of AB? HINT: Start with circle theorems and move to cosine rule.....
 * May 21st 2007** (Difficult)

** Calculate the area of the shaded region
 * May 14th 2007

If AB is 4cm, BC is 10cm, AE is 2.5cm and CD is 10.5 Calculate AD and BE
 * May 7th 2007**

=April=

I use a piece of wire 100cm long to make a rectangle. What is the biggest area that can be contained within the wire rectangle? (HINT: if the length of the rectangle is x, what would the width be?)
 * April 23th 2007**

Use completing the square to solve the following math x^3-7x-6 math
 * April 16th 2007**

Simplify the following: math \large \dfrac{x^2+x-2}{x^2-4} math
 * April 2nd 2007**

=March=

Simplify the following math \dfrac{3}{(\sqrt{6}+\sqrt{2})} math leave answer in SURD form
 * 26th March 2007**

** Solve the simultaneous equations a) Graphically b) Algebraically
 * 19th March 2007


 * 12th March 2007**

Simplify the following: math \dfrac{(x^2 \times x^3 ) \times \sqrt{x}}{(x^3 )^2} math
 * 5th March 2007**

=February=

a) work out the other angles here:
 * 26th Feb 2007**

a) work out the area if the perimeter is 77cm:
 * 19th Feb 2007**