# Algebra Quiz 7

Which of these numbers does not have a square root in the form To solve this problem, show that   Problem taken from UK Senior Mathematical Challenge held on Tuesday 6 Nov 2012. Continue reading Algebra Quiz 7

# Algebra Quiz 6

solve for u and v. This problem was taken from Pure mathematics for advanced level by Bunday and Mulholland, (1973). PDF of the solution Parametric Curves Folium of Descartes Wolfram  Video Continue reading Algebra Quiz 6

# Algebra Quiz 5

Problem taken from High School Mathematics published by Mir Publishers in Moscow.(1986) xlsx file used in the video here and the pdf of the solution can be downloaded here. Continue reading Algebra Quiz 5

# Algebra Quiz 4

A farmer has an adjustable electric fence that is 100 metres long. He uses this fence to enclose a rectangular grazing area on three sides, the fourth side being a fixed hedge. Find the maximum area he can enclose. Problem taken from L Bostock and S Chandler, Stanley Thornes Publishers Ltd, 1980. Solution: PDF of the solution Xlsx file for calculating the area of polygons … Continue reading Algebra Quiz 4

# Algebra Quiz 3

A man has an apple orchard and sells to his first customer half of all the apples plus half an apple; to the second customer he sells half of rest of the rest plus half an apple; to the third, half of the remainder plus half an apple, and so on. To the seventh customer he sells half of what remains and another half apple. … Continue reading Algebra Quiz 3

# Algebra Quiz 2

A number consists of three digits, whose sum is 9. When the number is reversed, the number is decreased by 198. The sum of the number and the number formed by reversing the digits is 666. Find the number. Source file for matrix calculations can be downloaded as xlsx file. Continue reading Algebra Quiz 2

# Algebra Quiz 1

This question was taken from AIME (American Invitational Mathematics Examination – AIME) What is the sum of the solutions to the equation: Excel Source File: Algebra quiz1 Computation from Wolfram Alpha: Continue reading Algebra Quiz 1