Foundation Track: Assessments
At Liberecas, we believe in starting with clarity. Every child begins their journey with a Diagnostic Assessment, designed not just to produce a score but to highlight their unique learning profile.
From there, we provide Planning Calendars and Revision Timetables (in simple Excel format) so families can set a realistic yet ambitious pace. Mid-term Assessments ensure that progress is tracked, gaps are identified early, and no child is left drifting until the final stretch.
Go to: All courses
The list of all concepts covered for your child in our preparatory courses would be:
| Number & Arithmetic | Algebra & Reasoning |
| * Place value | * Number patterns and sequences |
| * Rounding and estimation | * Input–output machines |
| * Negative numbers | * Solving simple equations |
| * Factors, multiples, primes | * Expressions and simplification |
| * LCM and HCF | * Using variables and unknowns |
| * Odd/even numbers | * Substitution |
| * Square and cube numbers | * Function machines |
| * Square roots (simple) | * Word problems with algebra |
| * Order of operations (BIDMAS) | * Forming equations from word problems |
| * Mental arithmetic | |
| * Four operations (+, −, ×, ÷) | Geometry & Shape |
| * Fractions (simplifying, equivalence, comparison) | * 2D shapes (properties, angles, symmetry) |
| * Mixed numbers and improper fractions | * 3D shapes (faces, edges, vertices, nets) |
| * Adding, subtracting, multiplying, and dividing fractions | * Perimeter and area (rectangles, triangles, compound shapes) |
| * Decimals (place value, operations) | * Volume and surface area (cuboids, counting cubes) |
| * Percentages (of amounts, increase/decrease, fraction–percentage conversions) | * Acute, obtuse, reflex, right |
| * Ratio and proportion | * Angles on a straight line (sum = 180°) |
| * Simple and compound unit conversions | * Angles around a point (sum = 360°) |
| * Rounding and approximation | * Angles in triangles (sum = 180°) |
| * Angles in quadrilaterals (sum = 360°) | |
| Measures | * Angles in parallel lines (alternate, corresponding, co-interior) |
| * Time (24-hour clock, elapsed time, timetables) | * Types of triangles (isosceles, equilateral, scalene, right-angled) |
| * Money (word problems, best value, change) | * Coordinates (1st quadrant; some advanced include all 4 quadrants) |
| * Length, mass, capacity (conversions) | * Reflections, rotations, and translations |
| * Speed, distance, time problems | |
| * Units and conversions (metric/imperial where applicable) | Word Problems & Problem Solving |
| * Multi-step arithmetic problems | |
| Data & Statistics | * Ratio/fraction/percent problems in context |
| * Pictograms, bar charts, line graphs | * Age problems |
| * Pie charts (interpretation, basic construction) | * Work and time problems |
| * Mean, median, mode and range | * Money and best-value scenarios |
| * Frequency tables | * Logical reasoning with numbers and words |
| * Interpretation of data from charts and tables | |
| Combinatorics, Permutations & Combinations (Advanced) | |
| Probability (Advanced/Stretch) | * Arrangements of items (e.g. in a line, with/without restrictions) |
| * Basic probability using fractions | * Counting strategies (e.g. how many ways to choose, order) |
| * Probability of single events | * Basic permutations (e.g. rearranging letters) |
| * Complement rule (e.g. "not happening") | * Simple combinations (e.g. choosing groups or outfits) |
| * Simple experiments and outcomes | * Tree diagrams (introductory level) |
| * Probability scales (0 to 1) | |
| Advanced/Stretch Areas (for top scorers) | |
| Spatial & Non-standard Reasoning (Cross-over with NVR) | * Multi-variable algebra puzzles |
| * Patterns in shapes and numbers | * High-level ratio/proportion chaining |
| * Spatial visualisation | * Rate and speed compound problems |
| * Folded shapes, nets, rotations | * Working with unknowns in geometry |
| * Advanced permutations and probability | |
| * Number theory puzzles (e.g. properties of digits, divisibility) |
