GRADEREALM

Private Study Suite

● 30-day account demo

GCSE HIGHER MATHEMATICS

Study with structure.
Master it with confidence.

Your complete Higher Maths course in one focused space — lessons, built-in maths tools, original practice, progress tracking and revision priorities.

7 syllabus modules 116 topics Interactive maths labs Private progress tracking
U
PRIVATE PROFILE Your profile Higher Maths • Personal study plan
GRADEREALMYour Higher Maths study spaceStreaks • revision prompts • progress encouragement
HOW YOU'LL STUDY
01LearnFocused lesson and worked examples
02ExploreVisualise ideas with interactive tools
03PractiseBuild fluency with targeted questions
04RecordTrack scores, progress and weak points
COURSE MAP
123 Number
Algebra
Graphs
% Ratio & Rates
Geometry
sin Pythagoras & Trig
P Probability & Stats
GRADEREALM

Higher Maths

V97.78
GradeRealm
Your learning dashboard

Good afternoon, Learner!

Small steps. Big results. Let’s keep going.

Today's goal

0 of 5 activities

Your progress

0%
Overall mastery

Keep building your course progress

Recommended for you

Based on your recent performance

Revision topicChoose a topic to strengthenRevision
Next topicContinue your learning pathPractice

Achievements

🔥Getting StartedKeep learning
First StepsKeep learning
MasteryKeep learning
10WorksheetsKeep learning
🏆Focused HourKeep learning
GradeRealm
GradeRealm Games

Play. Practise. Improve.

Two focused maths games. No filler.

FLUENCY + CAMPAIGN

GradeRealm Storm

Build speed and accuracy, then take it into the arcade campaign.

BEST SCORE0 BEST WAVE1
LOGIC + NUMBER SENSE

CrossGrid

Use arithmetic and logic to make every equation work across and down.

GRIDS SOLVED0 BEST SCORE0

CROSSGRID

Make every equation agree.

Use every number once. Solve across and down.

SCORE0STREAK0MOVES0
Equation ConstellationRead every move across and down

Use every number once. Complete all six intersecting equations.

NUMBER BANKSelect a digit core, then place it into the constellation

GRADEREALM TIMES STORM • FLUENCY GAME

Defend the Maths Core.

GradeRealm now has a story campaign as well as the original arcade modes. Complete maths routes, earn longer combat breaks, build a persistent Gem-powered ship, defeat rival systems and unlock the next level. Campaign missions mix multiplication, division, square numbers, roots, powers, factors and percentages.

STORM RUNClear at least 10 maths drones to earn combat. Levels 1–8 train the pilot; Level 9+ opens longer assault runs with tougher armour and stronger upgrade pressure.
STORM ARSENALBuild your pilot loadoutMaths performance unlocks liveries. Gems permanently improve the ship you take into every Storm.
💎 0
WEAPON
SHIP LIVERY
BEST PILOT RANKComplete a Storm run to establish your pilot rank.
HIGH-OUTPUT ARCADE AUDIO V97.78 • Missing-boundary questions now show the true shaded region R and a solid/dashed clue, making every option mathematically inferable.

GRADEREALM RECORDS

Your storm record

0best score
0best correct
0–5range unlocked
0lifetime correct
1best wave
0bosses beaten
Score0Set your first record
Lives♥♥♥♥♡♡
Combo×1 • combo 0
Speed×1.0
Correct0
Accuracy100%
Wave1
Launch PadMedium • Tables 0–5 • multiples to 10
20 correct to 0–7 tables
MATHS
WAVE 1Clear 8 sums
0 / 8
Launch a run when you're ready.
PLAYER 1 • ARCADE INPUTCREDIT 01 • FIRE submits

GradeRealm is ready.

YOUR GCSE HIGHER JOURNEY

GradeRealm World

Explore GradeRealm World. Tap a city to enter its module.

OVERALL PROGRESS 0% 0 / 116 secured
WEEKLY WORLD EVENT

GradeRealm World event

Complete learning targets in this week's highlighted city.

0/3 targets

Choose freely. The route suggests a learning journey, but every zone stays open so you can revise exactly what you need.

REVISION

Weak points & review

Anything you flag for review appears here automatically.

GRADEREALM • BUILT-IN TOOLS

GradeRealm Tools

GCSE-focused graphing, calculation, algebra, function tables, geometry and statistics — all running inside the app with no third-party maths-tool dependency.

Graphing calculator
GRADEREALM GRAPH

Graphing calculator

Plot up to four functions of x. Drag to pan, use the mouse wheel/pinch-style browser zoom controls to zoom, and inspect visible roots and intersections.

Supports + − × ÷, powers (^), brackets, π/pi, e, sqrt, abs, sin, cos, tan, ln and log. Implicit multiplication works: 2x, 3(x+1).

Drag to pan • wheel to zoom

GRADEREALM SCIENTIFIC

Scientific calculator

GCSE-friendly scientific calculations with degree/radian control and familiar mathematical functions.

RESULT
GRADEREALM SOLVER

Equation solver

Solve linear and quadratic equations in x, plus pairs of simultaneous linear equations in x and y.

Single equation

Simultaneous equations

GRADEREALM TABLE

Function/value table

Generate x/y values for a function — useful for plotting, sequences and checking substitutions.

GRADEREALM GEOMETRY

Geometry & measures

Calculate GCSE geometry quantities with the formula remaining visible through the selected shape and measurements.

GRADEREALM STATISTICS

Statistics calculator

Paste a list of values to calculate key GCSE statistics including quartiles and interquartile range.

GRADEREALM • ORIGINAL PRACTICE

Topic Worksheet Generator

Create a fresh adaptive worksheet for any of the 116 Higher Maths topics. GradeRealm changes the balance of fluency, multi-step GCSE reasoning and — after genuine mastery — selected AS Mathematics bridge questions according to the learner's evidence.

ADAPTIVE ORIGINAL CONTENT

Build a topic worksheet

Choose the topic and length. Choose 5 Quick Fire for a fast check, then 10, 25 or 50 questions for progressively longer practice. GradeRealm chooses the difficulty automatically from this learner's mastery.

Questions

GRADEREALM • TESTS & EXAM MODE

Assessment centre

Choose the kind of evidence you want, then build a focused module paper or a full Higher paper.

Higher MathsPractice • assess • simulate
CHOOSE YOUR PAPER MODE

Practise with support or test yourself under exam conditions.

GradeRealm targets weak, under-tested and next-grade skills. Use Adaptive Mastery to build strength before attempting a clean Exam Simulation.

Original questionsInteractive or printableMarks feed your learning profile
PAPER MODE Choose the assessment experience Switch modes before you generate a paper.
M

MODULE PAPER

Module paper

Choose one module for targeted revision, mastery checks or a clean independent test.

Best for targeted retrieval and module-level confidence.

Questions
Question difficulty and selection follow the paper mode above.
Σ

MIXED HIGHER PAPER

Full Higher paper

Mix the whole Higher course for retrieval practice, readiness checks or an exam-style rehearsal.

Best for mixed retrieval and exam-readiness evidence.

Questions
Exam Simulation is the mode used for independent predicted-grade evidence.

GRADEREALM LEADERBOARD • WEEKLY XP

Weekly leaderboard

See the live weekly GradeRealm XP rankings. Participation is optional and can be switched on or off here at any time.

YOUR WEEKLY XP0

Only your GradeRealm username, avatar, country flag and weekly XP are published when you opt in. GCSE grades and private topic progress are never shown on the leaderboard.

Under-13 Guest Mode cannot join the live leaderboard. Signed-in learners remain private unless they explicitly choose Participate.

GRADEREALM • LEARNER PROFILE

Your learning profile

Your progress, next milestone and lifetime achievements in one place.

YOUR AVATAR
LEARNER PROFILE

GradeRealm Learner

Nova • Starter frame

300 XP to Bronze
FEATURED MEDALS0/30Pin up to 3
Your first badge is waiting.
0Total XP
💎0GradeRealm Gems
0Weekly XP
0Gold topics
Grade 7Target grade
0%unlocked
ACHIEVEMENT PROGRESS

Your collection

Every medal records genuine learning progress.

NEXT MILESTONE

Keep learning

Your closest achievement will appear here.

Progress updates automatically.
TROPHY CABINET

Your achievements

Every unlocked medal stays here. Pin up to three favourites to your profile.

0 earned

GRADEREALM TEACHER • LIVE

Teacher Dashboard

Secure live class progress, learner analytics and assignments from Supabase.

Open the dashboard to load your authorised classes.

Class access is checked against the signed-in account. GradeRealm never uses a service-role key in the browser.

LIVE
CLASS WORKSPACE

Select a class

Choose one of your authorised classes.

Learners0enrolled
Class averagecompleted assessments
Assessments0completed papers
Active this week0learners with recent work
CLASS SIGNAL

Strongest / weakest module

Class analytics will appear after a class loads.

NEEDS ATTENTION

Priority learners

No attention signals loaded yet.

LEARNER PROGRESS

Class roster

Open Teacher DashboardYour secure class progress will load here.

Only classes returned by GradeRealm's protected access RPCs can be opened. Every analytics and assignment RPC independently checks the signed-in user's class authorisation.

LEARNER PROGRESS

Learner

ASSIGNMENT BUILDER

New assignment

Choose the work, recipients and due date. Drafts stay private until you publish them.

RecipientsChoose the whole class or selected learners.
ASSIGNMENT TRACKING

Assignment

GRADEREALM • ASSIGNMENTS

Your assignments

Work set for your GradeRealm learner account by an authorised teacher.

SECURE INBOXOpen this page to check your assignments.

Only published assignments addressed to your signed-in learner profile can appear here.

0open
No assignments loadedRefresh to check for work from your teacher.

Assignment access is resolved from the signed-in account to its learner profile. GradeRealm does not accept a learner ID from the browser when loading this inbox.

GRADEREALM PARENT • V52.24

Parent Progress

A simple, encouraging view of consistency, progress and the next useful focus — without exposing a child to public comparison.

WEEKLY OVERVIEW

Learner

GradeRealm is building this learner's progress picture.

Predicted
TargetGrade 7
Weekly Core0/5active study days
Tracked questions0this week
Daily streak0missions retained
Weekly XP0engagement earned
GRADE 7 SECURITY0%

Predicted grade is evidence-gated.

PROGRESS TO PRAISE

Strongest areas

NEXT USEFUL FOCUS

Where encouragement helps

ACHIEVEMENTS

Recent reasons to celebrate

Weekly parent summary

When live email infrastructure is connected, send a short progress-and-focus summary rather than a stream of individual mistakes.

Production parent/teacher access will use separate authenticated roles and explicit learner links. This local build does not send student data to a parent or teacher account.

GRADEREALM • APP INSTALL

Install Higher Maths

Put the app on your home screen, desktop or Dock and open it like a normal app.

Σ

GradeRealm • Higher Maths

Checking this device…

iPhone / iPad

  1. Open the app in Safari.
  2. Tap the Share button.
  3. Choose Add to Home Screen.
  4. Tap Add.

The GradeRealm icon will appear on your Home Screen.

A

Android

  1. Open the app in Chrome.
  2. Tap Install app if prompted.
  3. Or use Chrome's menu → Add to Home screen.

It will open in its own app window.

Windows

  1. Open the app in Edge or Chrome.
  2. Click the install icon in the address bar, or this page's Install app button.
  3. Choose whether to pin it to Start, taskbar or desktop.

The app runs in its own window.

Mac

  1. Open in Safari and use File → Add to Dock, where supported.
  2. Or open in Chrome and choose Install.

The GradeRealm app can then launch from your Dock / Applications.

i

One requirement

A PWA must be opened from a normal HTTPS web address before iPhone, Android, Windows or Mac can install it properly. Opening the raw HTML file from Downloads is not enough for cross-device installation.

ACCOUNT & DATA

Account, evaluation & backup

GRADEREALM SUPPORT • AI FIRST

Need help?

Ask GradeRealm first. It can show you where features are, explain how controls work and help with common app problems.

Σ AI
1 Ask GradeRealm2 Try the fix3 Human help if needed

Human email support is offered only if GradeRealm does not solve the problem.

DISPLAY MODE • V52.24

Screen layout

Choose how GradeRealm lays itself out on this device. Auto remains recommended and now recognises desktop-class laptops even when Windows scaling makes the browser report a smaller CSS viewport.

Auto • detecting this screen…

If a requested layout is physically too wide for the screen, GradeRealm keeps the selection but uses the nearest safe layout so controls never spill off-screen.

Progress backup

Export everything you have entered as a JSON backup, or restore a previous backup.

Optional device PIN

Add or change a quick local PIN if you want an extra lock on this device.

Original worksheet library

GradeRealm generates its worksheet and test content inside the app, with topic mapping, answer validation, mark allocations and duplicate-question protection.

View GradeRealm development history

Topic worksheets and test questions are generated inside GradeRealm. The worksheet engine uses explicit topic mapping, answer validation, mark allocations and duplicate-question protection. v18 introduced typed answers, saved workings and automatic worksheet marking; v19 added the GradeRealm learning journey and readiness interface; v20 added GradeRealm Storm for adaptive multiplication fluency; v21 added original retro tracker music and responsive game sound effects; v22 added the Home arcade theme. v24 restored the complete regression-locked build. v25 added wave upgrades and boss progression. v26 added the full GradeRealm Storm Deluxe arcade interface, multiple game modes, event waves, animated combat feedback and a compressor-limited high-output audio system. v27 added a first-party GradeRealm Tutor lesson to every one of the 116 topics. v28 added an adaptive learner model with Guided/Building/Independent/Challenge modes, misconception coaching, Rescue Mode, GradeRealm Sprints and spaced retrieval. v29 added Maths Keys and alternating GradeRealm Blaster Breaks. v30 added branching Higher-topic lessons, a prerequisite dependency map with Foundation Repair Missions, automatic return-to-topic flow, curriculum weak-point awareness in GradeRealm Storm, learning-powered arena unlocks and a capped mastery score boost. v31 added five colour-coded arcade sectors, enemy formations, six named rival bosses with phase escalation, mature GradeRealm comms, personal-best chasing and run medals. v32 added an eight-level saved Mission Campaign with story objectives, division, squares, roots, powers, missing-factor and percentage puzzles, mixed finale missions and variable 10–16 second combat breaks. v33 added a large in-game touch answer pad with 0–9, clear, backspace and FIRE/ENTER controls. v34 added a dedicated Σ NOVA bonus-weapon button, maths-powered charge meter and tactical Nova fire during falling-threat and shooter sections. v35 added four starting lives, a retro bottom-right life rack, 1-UP carriers, a retro GAME OVER state and rotating shooter enemy classes. v36 adds a cabinet-style arcade answer controller, richer action-specific SFX, eight visually distinct boss characters and removes Tutor Live screen-sharing/whiteboard UI for now — still with no third-party teaching links. v37 added GradeRealm Exam Intelligence: multi-stage Grade 6–9 reasoning problems, optional method checkpoints, partial method marks, first-error diagnosis, mark-weighted exam papers and a provisional predicted-grade/readiness model driven by independent evidence. v38 added GradeRealm Daily: a saved 6-question personalised Daily Mission, spaced retrieval, priority repair, current-topic practice, adaptive Grade 6–8 exam challenge, 5/7 Weekly Core, Streak Shield and Weekly Boss unlock. v39 added the GradeRealm Adaptive Mastery Ladder: topic worksheets change difficulty from learner evidence, adaptive module/mixed papers weight weaknesses and under-tested skills, GCSE Exam Simulation remains balanced, and selected high-security topics can unlock Pearson Edexcel AS Mathematics bridge questions without affecting the GCSE predicted-grade calculation. v40 added visible Starter → Timber → Bronze → Silver → Gold/Σ Mastery ranks to worksheet and module-paper controls, seven-day Review Due freshness, retrieval defence and temporary AS-Bridge pausing instead of automatic time-only demotion. v41 adds the production-style GradeRealm account gateway: sign in, create account, email verification state, password recovery and guest mode, with a Supabase-ready authentication adapter while local maths progress remains preserved. v42 adds GradeRealm Identity: original illustrated avatars, username onboarding, XP progression, Bronze/Silver/Gold avatar frames, profile achievements and a cloud-ready weekly leaderboard foundation. v43 adds the GradeRealm Adult Ecosystem: Teacher Intelligence, mastery heatmaps, priority intervention worksheets, adaptive assignment scaffolding, Parent Progress and weekly parent-report preview, while multi-user class/parent linking remains explicitly gated behind secure cloud roles. v44 adds visible app-version labelling, a service-worker-backed update checker/restart flow and safe device-removal guidance without erasing learner progress. v45 introduced GradeRealm World: seven visual syllabus zones that replace the all-topics wall while preserving the full colour-coded topic workflow inside each module. v46 upgraded GradeRealm World visually with a premium illustrated island map. v47 added clearer module labels and an upgraded modules area beneath the map for faster navigation. v48 refines the map labels into premium location callouts with stronger progress states and a cleaner quick-access module panel.

Course structure

GCSE Higher Mathematics organised into 7 modules and 116 topics. New profiles begin with a completely clean progress record.

Your learner account

Your learner identity controls which local progress record is opened. A connected cloud account will use the same identity across devices.

U
UserEmail account

Weekly progress email

Show how a learner could receive an automatic study summary with weak topics and suggested next steps.

Appearance

Choose how the private study suite looks on this device.

PRIVACY CONTROLS

Your data

Export a portable copy of your learner data, or permanently delete the current GradeRealm cloud account and its controllable learning data.

Cloud account deletion is available to signed-in cloud accounts. Guest data can be cleared locally.

GRADEREALM APP

Version & updates

Keep GradeRealm current without losing learner progress.

InstalledV97.78
Ready to check for updates.

Deleting the installed app does not delete your GradeRealm account or learning progress. Account deletion is a separate privacy action.

Reset

Clear all topic progress, scores, dates, notes and review flags and return to a clean start.

PERMANENT DELETION

Delete GradeRealm account & data

This permanently deletes the signed-in cloud account and GradeRealm’s controllable cloud learning records. It also clears this learner’s local GradeRealm data on this device. This cannot be undone.

GRADEREALM PROFILE

Choose your learner profile

Choose one of 37 GradeRealm avatars and a username — all 24 originals plus 13 higher-spec maths and premium choices. You can change it later; your frame upgrades as XP builds.

Avatar
Preview only — no parent email is sent in this build.
GRADEREALM • WEEKLY PROGRESS EMAIL • PREVIEW

GradeRealm’s weekly maths update

Prototype preview — nothing will be sent.
GRADEREALM SUPPORT • AI FIRST

How can I help?

Ask where something is, what a feature does or how to use a GradeRealm control.

GradeRealm Support is ready.
GRADEREALM • PRIVATE ADMIN

Admin Control Centre

Live platform health, school/class administration and privacy-minimised operational analytics

ADMIN

Platform overview

Live data from the protected GradeRealm Supabase backend.

Loading platform data…
USERSAuthenticated accounts
LEARNERSLearner profiles
ACTIVE • 7 DAYSDistinct active learners
ACTIVE • 30 DAYSDistinct active learners
TOPICS COMPLETEDFinished topic records
NEEDS REVIEWTopics flagged for review
AVG TOPIC SCOREAcross scored topics
WEEKLY XPCurrent leaderboard week
LEADERBOARD OPT-INVisible leaderboard entries
GRADEREALM ADMINSProtected admin roles
TEACHERSTeacher roles
SCHOOL ADMINSSchool admin roles
Schools & classes

School & class management

Create schools, attach authorised staff, manage classes and inspect protected class-roster counts.

Loading schools…
Select a school to manage its staff and classes.

School, staff and class access is enforced by protected Supabase RPCs. Learners cannot use the class-roster route; only GradeRealm admins, the school admin and assigned teachers can access it.

User & role management

Accounts

Manage standard GradeRealm roles. GradeRealm-admin accounts are protected and cannot be changed here.

Loading users…

Successful role changes are recorded in the private admin audit log. Self-demotion and changes to GradeRealm-admin roles are blocked by the database.

Usage analytics
Loading analytics…
VISITOR SESSIONSSelected period
ONLINE NOWActive in the last 90 sec
AVG ACTIVE TIMEForeground / active estimate
PEAK UK HOUREurope/London time

Sessions by day

Time of day

UK local time

Device mix

Most-used screens

No email, learner account ID, exact location or persistent analytics identifier is included in these reports. A new anonymous session ID is created in memory when GradeRealm opens and disappears when that page session ends.

GRADEREALM ARTEFACT ARCHIVE

Your collection

Artefacts are earned through learning milestones. They cannot be bought and have no cash value.

GRADEREALM • DEVICE CONTROL

Remove GradeRealm from this device

Your account and maths progress are kept. This removes the installed app only.

Do not choose “Reset progress” unless you actually want to erase local learning records. App removal and account deletion are separate actions.