UK independent school entry · UKiset · Ages 9.5 to 18

UKiset maths reasoning practice

UKiset is an online entry test, sat in English, that international pupils take when applying to UK independent schools and British curriculum international schools. It was developed in partnership with Cambridge University Press & Assessment, and its reasoning section, which includes mathematical reasoning, adapts to each answer. Modern Age Coders teaches the maths behind that section live online, in a class or one to one, through our lower secondary maths course, with special care for the English that maths questions are written in.

From ukiset.com and the UKiset Welcome Guide 2025, read 31 October 2026 · Not connected with UKiset, Gabbitas or any school

What is UKiset?

UKiset is an adaptive online entry test in English for international pupils aged 9.5 to 18 who want to join a UK independent school or a British curriculum international school. UKiset says it was developed with Cambridge University Press & Assessment and founded in 2013 by the consultancy Gabbitas. It has three parts: a 30 to 45 minute adaptive reasoning section covering vocabulary, non-verbal reasoning and mathematical reasoning; a 60 to 90 minute reading and listening test; and a 30-minute handwritten essay. Calculators are not allowed. Scores compare a pupil with British students of the same age, and results are usually ready in about three working days. Modern Age Coders teaches the maths reasoning live online, in English, with practice we write ourselves.

Where to begin

Three courses for UKiset maths reasoning

UKiset spans ages 9.5 to 18, so the right course depends on age and on how settled the English is. Each card opens a syllabus.

What UKiset is

What is the UKiset test and who takes it?

An adaptive online assessment for international applicants, sat in English, that lets one test result go to several schools. UKiset describes itself in its own words below.

UKiset's about page says: "UKiset is an adaptive online entry test in English designed to support admission into the UK independent education system." It is "designed for students aged between 9.5 and 18 years old", and UKiset recommends "at least a basic knowledge of English". The home page explains the comparison group: "The results compare candidates against British students within the same age group", and the about page adds, "specifically against those studying in the independent sector". English level is measured separately with the Cambridge English Linguaskill test, which reports a CEFR level.

What UKiset says it measures (about UKiset, read 31 October 2026)
SkillUKiset's descriptionWhere maths appears
1. Vocabulary"The ability to recognise words and their meaning."Indirectly: maths words are words too
2. Mathematics"Working with numbers, value, and sequences."Directly
3. Non-verbal reasoning"Solving problems using pictures, diagrams and patterns."Pattern and spatial thinking close to maths
4. Other English skills"Reading & listening, Creative writing (Grammar & spelling)."Not tested

How schools use it

UKiset's report page lists several uses. "Some schools use UKiset as their standalone entrance assessment. This is more often the case for younger applicants (Years 7-9)." Others use it "As the first stage of an application", and "These schools may ask successful candidates to complete further school-specific testing."

The about page puts it simply: "Some schools conduct further testing or interview the candidate after reviewing their UKiset Profile before offering a place."

Results and retakes

"Results are normally processed within 3 business days." The full profile can be sent to several chosen schools, and schools can be chosen before or after the test.

"Results are valid for one year and the test can be retaken after 3 months." Most candidates sit online at home with a UKiset invigilator, which UKiset offers seven days a week; approved test centres exist for those who need one.

Sources: UKiset home, about UKiset, school and parent report, read 31 October 2026. UKiset publishes its fees on its own site; we do not repeat them. Modern Age Coders is not connected with UKiset, Gabbitas, Cambridge or any school.

The sections

How is the UKiset test structured?

Three sections, two online and one on paper. Maths sits inside the first, the adaptive reasoning section, alongside vocabulary and non-verbal reasoning.

The three sections of UKiset (UKiset Welcome Guide 2025)
SectionLengthFormatWhat it covers
1. Reasoning30 to 45 minutesOnline, adaptiveVocabulary, non-verbal reasoning, mathematical reasoning
2. Reading and listening60 to 90 minutesOnline, multiple choice and gap fillingThe Cambridge English test of receptive language
3. Essay writing30 minutesHandwritten, scanned and emailed at the endExpressive English, structured writing

The Welcome Guide explains how the first section adapts: "The more questions the student answers correctly, the more difficult the test will become." So two pupils of the same age can see quite different maths questions, and a strong pupil will reach harder material quickly. The test-day rules matter for maths in particular. UKiset's process page says candidates need "A pen and lined and scrap paper", and that "the use of mobile phones, calculators or dictionaries are strictly prohibited during the whole length of the test." The guide repeats it: "The use of a calculator or phone is strictly prohibited during the test." Rough working therefore happens on paper beside the screen.

Invigilated online

UKiset invigilates by video call, using Microsoft Teams, with a member of its own team guiding the student. A short break is offered between sections.

Scrap paper allowed

Unlike some computer tests, UKiset lists lined and scrap paper among the things to bring. Practise writing working neatly enough to read back quickly.

No calculator, no dictionary

Both are banned for the whole test. A pupil used to a calculator from an early age, as in some school systems, needs mental and written methods ready.

Sources: UKiset Welcome Guide 2025 and UKiset, the process, read 31 October 2026.

Scores

How is UKiset maths scored and reported?

As a standardised score against British pupils of the same age, with a percentile and a stanine band. Families see a parent report; schools see a fuller one.

What the UKiset reports contain (school and parent report page, read 31 October 2026)
ReportContents UKiset listsWhat it means for maths
Parent reportStandardised scores in "Verbal, non-verbal and mathematics"Maths has its own score, not just a total
Parent report"The National Percentile Ranking (NPR)", from the 1st to the 99th percentileWhere a pupil would sit among 100 British pupils of the same age
Parent report"The Stanine ranking (or Standard Nine)", nine bands from 1 to 9A coarser band that schools often read at a glance
Parent report"Two average scores, with and without the Verbal Reasoning result"A strong maths score is not dragged down by English still developing
Parent reportAn English CEFR level and raw score from LinguaskillShown separately from reasoning
School reportThe essay, separate national and independent-school standardisations, and "Future predicted grades in GCSE, A-Level and IB"Schools see predicted maths grades too

The second average is worth understanding. UKiset says it reports scores "with and without the Verbal Reasoning result" to prevent a student's current English level from pulling down the overall reasoning score, "as most students speak English as their second language". For a pupil whose maths is strong and whose English is still growing, that is reassuring: the mathematics and non-verbal scores carry real weight on their own. UKiset does not publish a pass mark, and each school decides what it looks for.

Maths in English

Why does the English of maths matter in UKiset?

Because the test is entirely in English, and maths questions hide meaning in small words. A pupil who can solve a problem in their own language can still lose it on a word like "product" or "consecutive".

UKiset's preparation page says that "The UKiset reasoning test includes quantitative reasoning. It can be helpful to ensure that the student is confident in answering mathematical questions." In our teaching of international pupils, confidence usually breaks on vocabulary rather than on method. The glossary below is ours: the English words that most often change the meaning of a maths question, with a one-line example of each.

Maths words in English that change a question's meaning (a glossary written by Modern Age Coders)
WordMeaningExample (ours)
SumThe result of addingThe sum of 7 and 5 is 12
DifferenceThe result of subtracting the smaller from the largerThe difference between 15 and 9 is 6
ProductThe result of multiplyingThe product of 4 and 6 is 24
QuotientThe result of dividingThe quotient of 20 and 4 is 5
ConsecutiveFollowing one after another8, 9 and 10 are consecutive whole numbers
Multiple and factorA multiple is in the times table; a factor divides exactly18 is a multiple of 6; 6 is a factor of 18
PrimeA whole number with exactly two factors, 1 and itself13 is prime; 15 is not
Square and square rootA number times itself, and the reverse9 squared is 81; the square root of 81 is 9
At least, at mostNo fewer than, no more thanAt least 3 means 3, 4, 5 and so on
RemainderWhat is left after dividing17 divided by 5 is 3 remainder 2

British conventions to know

Decimal points are written as a dot, and large numbers group thousands with a comma: 12,500 is twelve thousand five hundred, not twelve point five.

Time is often written on the 24-hour clock in tables, 14:30, and dates as day then month. Lengths and weights are metric, with miles still used for road distances.

What UKiset says about preparing

UKiset suggests working on English through reading, listening, speaking and writing, and being confident with mathematical questions.

It also offers its own preparation service, UKiset Prep. We mention it so families know it exists; we make no comparison and are not connected with it.

Source: UKiset, preparation, read 31 October 2026. The glossary and examples are ours.

Worked examples, written by us

How should a pupil reason through a UKiset-style maths question?

Three original problems on number value and sequences, the areas UKiset names, written in plain English with the key words highlighted in the reasoning. None is a UKiset question.

1. Read the words first

The product of two consecutive numbers is 56. What is their sum? Translate: "product" means multiply, "consecutive" means next to each other. Which neighbours multiply to 56? 7 times 8. Their sum, adding, is 15. Most mistakes here are giving 7 and 8, or 56, because the last word of the question was not read.

2. A sequence with a hidden rule

Find the next number: 2, 3, 5, 8, 12, 17, ... The gaps are 1, 2, 3, 4, 5, so the next gap is 6 and the next number is 23. When the numbers themselves look random, write the gaps underneath. If the gaps are random too, try the gaps of the gaps, or multiplying.

3. Value and place

In the number 7,272.7, how many times larger is the value of the first 7 than the value of the last 7? Name each value first: the first 7 is 7 thousands, 7,000; the last is 7 tenths, 0.7. From tenths to thousands is four steps of ten, so the answer is 10,000. Pupils who compare the digits rather than their values answer 1, and that option is usually there to catch them.

A practice set written by Modern Age Coders, number and sequences without a calculator
Question (ours)AnswerThe reasoning
What is the difference between the largest and smallest of 0.6, 0.65, 0.506?0.144Write them to three places: 0.600, 0.650, 0.506. Then 0.650 minus 0.506.
Next term: 81, 27, 9, 3, ...1Each term is divided by 3. Sequences can shrink as well as grow.
What is the quotient when 252 is divided by 7?367 times 30 is 210, leaving 42, which is 7 times 6.
Three consecutive even numbers have a sum of 54. What is the largest?20The middle one is 54 divided by 3, which is 18, so the numbers are 16, 18 and 20.
Is 91 prime?No91 is 7 times 13. Test the primes up to the square root, which is a little under 10.
A pattern adds 4 each time and starts at 5. What is the 20th term?81The 20th term is the first plus 19 steps of 4: 5 plus 76.

In lessons, pupils read each question aloud in English, say which words decide the operation, and only then calculate on scrap paper. The habit protects marks on the adaptive section, where a slip on an easy question lowers the level of the next one.

Timeline

From registration to results

UKiset can be sat at any time of year once registered, and results last a year. The stages below are our plan for the months before a chosen date.

Four stages before a UKiset sitting (our plan)
WhenStageSecure when
Three to six months before1. Maths words in EnglishEvery word in our glossary used correctly in a sentence and a sum
Two to three months before2. Mental methodsMultiplication facts, place value and division done without a calculator
One to two months before3. Sequences and patternsGaps, second gaps and multiplying rules spotted quickly
Final weeks4. Screen and scrap paperQuestions read on screen, working kept neat on paper, timing steady

If the date is close

Stages 1 and 2 matter most. English maths words and calculator-free methods are quick to improve and often the real gap.

After one lesson we tell you honestly where your child stands.

After UKiset

Pupils joining a UK school usually go on to the school's own maths course; our GCSE maths page shows what lies ahead from Year 10.

Some keep going with maths through coding in English.

All related courses

Courses for international pupils joining UK schools

By age band. Each card opens its syllabus.

I

Ages 9 to 11

Prep and Year 7 entry

UK / URP / 01

11 plus maths preparation

Entrance-style maths for younger applicants.

Open the syllabus

UK / URP / 02

Mental maths for kids

Calculation without a calculator, from the start.

Open the syllabus
II

Ages 11 to 14

Years 7 to 9 entry

UK / URP / 03

Lower secondary maths

Key Stage 3 maths taught in English.

Open the syllabus

UK / URP / 04

Algebra foundations

The algebra UK schools expect by Year 9.

Open the syllabus

UK / URP / 05

Competition maths

Harder reasoning for strong mathematicians.

Open the syllabus
III

Ages 14 to 18

Year 10 and sixth form entry

UK / URP / 06

GCSE maths

Foundation and Higher for English boards.

Open the syllabus

UK / URP / 07

IGCSE maths

International GCSE, common in British schools abroad.

Open the syllabus

UK / URP / 08

A level maths

Pure, mechanics and statistics for the sixth form.

Open the syllabus

How lessons run

Live lessons in English, for pupils anywhere

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Our teachers are in India, which keeps one time all year; we schedule in UK time, four and a half hours behind India in British summer and five and a half in winter, and can convert to your own time zone.

After school

Set to the pupil's own school day.

Weekend morning

A longer reasoning session.

Holidays

Extra practice before a test date.

English of maths

Key words taught and used until they are automatic.

No calculator

Mental and written methods for every topic.

Screen and paper

Questions on screen, working on scrap paper, as on the day.

Our own questions

No UKiset material copied.

Class or private

A class of 15 to 20, or one teacher for one pupil.

No promises

Schools decide places; UKiset sets no pass mark.

Student work

What students at our school have built

Projects from our students across many countries. More on student labs.

NutriLife AI nutrition coach project screenshot

AI and ML

NutriLife

An AI nutrition coach that reads what you eat and works you toward a target.

by Bhavya · Open it

Misti AI chatbot for maths and coding screenshot

AI and ML

Misti

A chatbot that answers mathematics and programming questions, built and deployed by a student.

by Harshit · Open it

GuardianX AI internet safety assistant screenshot

AI and ML

GuardianX

An assistant that helps a young person recognise unsafe situations online.

by Vivaan · Open it

SkyCast weather forecast application screenshot

Web app

SkyCast

A weather forecasting site with live conditions for any location.

by Krish

Fees

Fees for UKiset maths lessons

A monthly fee, shown in the currency we use for families applying to UK schools. The first lesson is free and nothing is charged to join.

Free first class

USD 0

no card required

  • A real reasoning lesson in English
  • A plain account of what to work on
  • A phone number is enough to book
Book it

Group batch

USD 100

a month, billed in US dollars

  • A class of 15 to 20 at one level
  • One teacher across the months
  • Calculator-free practice
  • Lighter weeks around school exams
Start here

One to one

USD 150

a month, billed in US dollars

  • One teacher, one pupil
  • Paced to a chosen UKiset date
  • Ideal when English is the main gap
Enquire

What families say

Rated 4.9 across 547 Google reviews

Parents' reviews on our Google profile, in their own words.

★★★★★

"The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content."

Ria Mukherjee

Parent

★★★★★

"Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease."

Samriddha Mondal

Student

★★★★★

"One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development."

Vansh Agarwal

Student

★★★★★

"My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative."

Sonam Oswal

Parent of Dhairya

★★★★★

"Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation."

Sonu Goyal

Parent

★★★★★

"I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding."

Ritu Kedia

Parent

UKiset questions

What families ask about UKiset maths

What is the UKiset test?

UKiset is an adaptive online entry test in English for international pupils applying to UK independent schools and British curriculum international schools. UKiset says it is for students aged 9.5 to 18.

Is there maths in UKiset?

Yes. The reasoning section includes mathematical reasoning, which UKiset describes as working with numbers, value and sequences. The parent report gives a separate standardised score for mathematics.

How long is the UKiset test?

UKiset's Welcome Guide lists three sections: reasoning for 30 to 45 minutes, reading and listening for 60 to 90 minutes, and a 30-minute handwritten essay, with a short break between sections.

Can I use a calculator in UKiset?

No. UKiset says calculators, phones and dictionaries are strictly prohibited for the whole test. Candidates bring a pen and lined and scrap paper for working.

Is UKiset adaptive?

The reasoning section is. UKiset's guide says the more questions a student answers correctly, the more difficult the test becomes.

How is UKiset scored?

Scores are standardised against British students of the same age, with a national percentile ranking and a stanine band from 1 to 9. UKiset also reports an average without the verbal result, so English level does not pull down the reasoning score.

How long are UKiset results valid?

UKiset says results are valid for one year and the test can be retaken after three months. Results are normally processed within three business days.

Do schools accept UKiset on its own?

Some do, more often for younger applicants in Years 7 to 9, according to UKiset. Others use it as a first stage and then set their own tests or interviews.

When can lessons happen?

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. We set lessons in UK time and convert to your time zone if you are abroad.

Are you part of UKiset?

No. Modern Age Coders is independent and not connected with UKiset, Gabbitas or Cambridge. We write our own practice and never promise a score or a school place.

Related pages

More for families applying to UK schools

Other entrance routes and the maths that follows.

Common Entrance maths

Written papers at 11 and 13 for independent schools.

11 plus maths tuition

Entrance maths for Year 7 entry.

GCSE maths tuition

The course pupils meet from Year 10.

IGCSE maths tuition

The international GCSE many British schools teach.

A level maths tuition

For sixth form applicants.

Coding classes in the UK

Our hub for UK pages.

Related pages in this guide

Part of the guide: UK selective school maths tests: 7+, 11+, 13+ and 16+

More guides: UK maths exam boards and specification codes · UK maths year by year, Reception to Year 11 · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils

Start here

Book a free maths lesson

Tell us your child's age, current school system and the UK schools you are considering. We will teach one reasoning lesson in English and tell you clearly what we noticed.

Prefer to read first? The lower secondary maths course lists its topics, and how we teach explains the method.

WhatsApp us · +91 91233 66161 · connect@modernagecoders.com

WhatsApp works from almost any country and is the fastest way to reach us. Replies come from India on a +91 number.

We ask for no payment details. One reply follows, suggesting a time.

Want a class sooner? Book a priority demo

A priority demo is a full class of about 45 to 60 minutes. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off.

Book a priority demo

Keep exploring Modern Age Coders

More maths tuition

Learn more

From the blog

Start here

Free classPriority demoCall us