The Δelta βeta αrchivesThe \ \Delta elta \ \beta eta \ \alpha rchives
Where your mathematical journey changes
About
I completed my iGCSEs between 2022 and 2024 (scored 8s and above across 8 iGCSEs), but faced difficulty finding resources that comprehensively explained concepts and provided enough difficult practice questions whilst being free.
With
The Δelta βeta αrchivesThe \ \Delta elta \ \beta eta \ \alpha rchives
, I hope to bring access to IB-level math education for those who would rather not spend hundreds on online courses or physical textbooks.
Features
find

find
r

Search through formulae and notes quickly

drill

drill
r

Practice with randomized questions (Math AA, Physics HL)

bookmark

bookmark
r

Bookmark sections or subsections (feature coming soon!)

type

type
r

Write and preview LaTeX

Content Overview
This content is focused more on IB AA HL-level studies, though some concepts should be accessible at iGCSE level. When working through coursework or problems, attempt to do them without a calculator at first - there will be some questions marked by a calculator symbol where you are permitted to use your calculator!
Any formulae in findr is based on the International Baccalaureate Mathematics Analysis and Approaches Version 1.0 First examinations 2021 formula booklet.
Prerequisites
When going through this course, you're required to be proficient in the following areas:

Solving linear equations

  • Δ\Delta
    Algebraic fraction manipulation
  • Δ\Delta
    Simultaneous equations
  • Δ\Delta
    Perpendicular lines

Surds

  • Δ\Delta
    Simplifying basic surds
  • Δ\Delta
    Rationalizing denominators

Function notation

  • Δ\Delta
    Inverse functions
  • Δ\Delta
    Composite functions

Quadratics

  • Δ\Delta
    Discriminant
  • Δ\Delta
    Roots (or "zeros")
  • Δ\Delta
    Quadratic formula

Algebraic proofs

  • Δ\Delta
    General numerical proofs
  • Δ\Delta
    Algebraic proofs

Vector proofs

  • Δ\Delta
    General proofs
  • Δ\Delta
    Colinear proofs
  • Δ\Delta
    2D vector spaces

Trigonometric functions

  • Δ\Delta
    Solving functions
  • Δ\Delta
    Unit circle
  • Δ\Delta
    Graphs of sin/cos/tan

3D geometry

  • Δ\Delta
    Area/surface area
  • Δ\Delta
    Angle calculations

Calculus

  • Δ\Delta
    Basic differentiation
  • Δ\Delta
    Basic integration
Sample ECQ (Q01H)
The line
L2L_2
is parallel to another line,
L1L_1
, with an equation
f(x)=5(x+2)4f(x)=5(x+2)-4
and passes through the point
L2A(3,5)L_{2A}(3,5)
.
(
aa
) Find the points of intersection (
L2BL_{2B}
and
L2CL_{2C}
) on
L2L_2
created by two lines perpendicular to
L1L_1
at the points
L1A(0,6)L_{1A}(0,6)
and
L1B(52,52)L_{1B} \left( \frac{5}{2},\frac{5}{2} \right)
.
(
bb
) Find the perpendicular bisector of the line segment
[L2B L2C][L_{2B} \ L_{2C}]
.
(
cc
) Find the solutions - on the
xx
-axis - of the perpendicular bisector you just created, and any previous lines you generated.