This repository contains mathematics programs on Casio Fx Series (HKEAA Approved), tested in HKDSE 2024.
- If you don't know how to input the special keys like
Lbl,IfEnd, you may refer to special_key.md - Keys in blue are single. For example, ³√( is single key, but not the combination of ³ and √(.
- Check the total bytes of the program, recheck your program if there is a difference.
- !!!Test your program with some sample cases!!!, you may ask ChatGPT to generate some.
These are tags that indicates the properties of the programs.
- Result-Return: The program will return the result of the calculations into variable cells. (reuse the answer in other programs)
- Input-Preserve: The program will not change the input variable cells. (reuse the same input in other programs)
Without these two tags, the program will change the input variable cells and will not return the result to variable cells.
Click Program 1, Program 2, Program 3, Program 4 to get source code of following programs.
Variable Cells Used: All Bytes: 220 Modes: 4
Input D (modes) #1, 2, 3, 4
When D=1, solve simultaneous equations
Input A, B, C, M, X, Y which {Ax+By=C...(1), Mx+Xy=Y...(2)
Output x and y of the intercept point
When D=2, find distance, slope, and equation of straight line from two points
(Input-Preserve & Result-Return)
Input A, B, X, Y which Point 1:(A, B), Point 2:(X, Y)
Output distance from Point 1 to Point 2
Output slope of straight line pass through Point 1 and Point 2, return this to M
Output a, b, c which ax+by+c=0 (straight line pass through Point 1 and Point 2)*
*For some cases, a, b and c are multiplied by a same factor, you have to manually divide it.
When D=3, find y-intercept from one point and a slope
(Input-Preserve & Result-Return)
Input A, B, M which Point 1:(A, B), Slope: M
Output y-intercept, return this to C
When D=4, find middle point and perpendicular slope of two points
(Result-Return)
Input A, B, X, Y which Point 1:(A, B), Point 2:(X, Y)
Output x and y of middle point, return x to A, y to B
Output slope of perpendicular bisector, return to M
Variable Cells Used: All Bytes: 161 Modes: 3
Input D (modes) #1, 2, 3
When D=1, expand functions
(Input-Preserve)
Input A, B, C, M, X, Y which (Ax²+Bx+C)(Xx²+Yx+M)
Output a, b, c, d, e which ax⁴+bx³+cx²+dx+e (expand above functions)
When D=2, find the angle with three sides using cosine formula
(Input-Preserve)
Input A, B, C which are the sides of triangle
Output the angle opposite to A, adjacent to B and C
When D=3, find another side adjacent to the angle using cosine formula
(Input-Preserve)
Input A, B, C which A is opposite side, B is the adjacent side, C is the angle
Output another adjacent side to the angle
Variable Cells Used: A, B, C, D, X Bytes: 136 Modes: 1 Condition: Must be under Deg mode (SHIFT→MODE→1)
Input A, B, C, D which Ax³+Bx²+Cx+D=0
Output root 1, root 2, root 3 (Math Error when no real roots)
Variable Cells Used: All Bytes: 129 Modes: 2 Condition: Must be under Deg mode (SHIFT→MODE→1)
Input D (modes) #1, 2
When D=1, find centre and radius
Input A, B, C which x²+y²+Ax+By+C=0
Output x and y of centre
Output Radius
When D=2, find the intersect points with a straight line
Input A, B, C which x²+y²+Ax+By+C=0
Input X, Y, M which Xx+Yy=M
Output x and y of first intercept point
Output x and y of second intercept point
This program is released under the GNU General Public License v3.0.
Project Developed by Hugo Law.
For more details, see the LICENSE file or visit GNU General Public License v3.0.