Lima parents look for a maths tutor for many reasons: a child slipping behind in 2° de secundaria, a teenager at an IB school who needs the subject explained in the language of the exam, a student facing the maths paper of a university admission test. This page explains what Lima schools teach in maths and when, how live online tutoring in English works, and one of our own lessons, built on the stations of Metro Line 1.
Teaching live since 2020 · more than 10,000 students worldwide · tutors who explain step by step, in clear English
The short answer
Modern Age Coders gives Lima students live online maths tutoring in English, from primaria arithmetic through secundaria algebra, geometry and statistics to IGCSE, IB and university maths. A tutor teaches each class live on video, in a group of fifteen to twenty or one to one, on the days and at the hours your family picks. Lessons follow the topics your child meets at school, and every class asks the student to explain the method, so they learn to think through a problem rather than copy a worked answer.
Start here in Lima
Three maths courses Lima students most often begin with
One to rebuild algebra, one for the full secundaria syllabus, and one for students at Cambridge-curriculum schools. Younger children and adults have options below.
What maths do Lima schools teach, and how much of it?
Every state and private school in Lima follows the national curriculum, the CNEB, which sets four maths competencies and a minimum number of hours each week.
Maths in the CNEB: the four competencies and the weekly hours
Item
What the CNEB sets
Competencies
Quantity; regularity, equivalence and change; form, movement and location; data and uncertainty
Primaria hours
5 a week in 1° and 2°, 4 a week in 3° to 6°
Secundaria, regular day
4 hours a week in every grade
Secundaria, full day (JEC)
6 hours a week in every grade
Length of a school hour
45 minutes (hora pedagógica)
Source: MINEDU, Currículo Nacional de la Educación Básica, competencies of the area Matemática and the plan de estudios tables (read November 2026). The rows paraphrase the competency names: "Resuelve problemas de cantidad", "de regularidad, equivalencia y cambio", "de movimiento, forma y localización" and "de gestión de datos e incertidumbre".
How Lima students are assessed nationally
MINEDU's national assessment, the ENLA, was applied from 11 to 13 November 2025 to more than 200,000 students in 8,700 public and private schools, testing maths in 4° de primaria, 2° de secundaria and 5° de secundaria.
The national results, published in May 2026, were similar to 2023 and 2024 overall, with one bright spot: maths in 2° de secundaria improved on 2023, the first positive change in that grade since schools closed. MINEDU's regional tables were not reachable when we checked, so we print no Lima-only figure.
Where tutoring helps most
Four or six hours a week is a lot of maths, but it is shared by a whole class. Tutoring adds what a full classroom rarely can: one learner explaining their own method, with someone who listens for exactly where it goes wrong.
The common sticking points we see in Lima students mirror the competencies: fractions and proportion in late primaria, algebra in 1° and 2° de secundaria, functions and statistics in the final years.
Maths in English
Why choose a maths tutor who teaches in English in Lima?
For two kinds of family. Some have children whose school already teaches maths in English. Others want maths and English practice in the same hour. Every class is live and in English only; none are in Spanish.
Bilingual, Cambridge and IB schools
Many Lima private schools teach maths in English, or follow Cambridge or IB programmes in which exams are written in English. MINEDU reports that 2,502 students in Peru obtained the IB Diploma in 2025, 47% of them at the public COAR schools and the rest at other schools.
For these students a tutor who explains in Spanish leaves a gap: the method is understood, but the words on the exam paper are not. We teach in the language of the exam, with the notation the school uses.
Spanish-medium schools
For a student at a Spanish-medium colegio, maths in English is a second gain. Maths has a small, exact vocabulary, so it is one of the easiest subjects to follow in a second language, and each class adds listening and explaining in English.
EF's English Proficiency Index 2025 scores Lima city 555, in its high band, well above Peru's 519. Many Lima students are ready for it; the free first class checks.
A few phrases a Lima student meets in English maths (our glossary)
English
Spanish
Watch out for
the quotient of 12 and 4
el cociente de 12 y 4
Order matters: 12 divided by 4
3 less than x
3 menos que x
Written x minus 3, not 3 minus x
a decimal point
una coma decimal
English writes 3.5 where Peru often writes 3,5
the hypotenuse
la hipotenusa
Only in a right-angled triangle
the median
la mediana
The middle value, not the average
Admission maths
How much maths is in Lima university admission exams?
A great deal. Each university sets and marks its own exam, in Spanish, and decides admission itself. We explain the maths from the universities' own pages; we do not prepare students for any admission exam and we are not connected with any university.
Maths in three Lima admission routes, from the universities' own pages
University
What its page says
What it means for maths
PUCP
Exams with "especial énfasis en las áreas de comprensión lectora y matemáticas"
Maths is one of two areas weighted most
UNI
Three in-person papers; the second is MATEMÁTICA
A whole day is maths
Universidad de Lima
A score for each correct answer, subtracted for each wrong one
Careless guessing costs points
Sources: PUCP, Guía del postulante; UNI, Admisión 2026-2 page; Universidad de Lima, Guía del postulante 2027-1(A). All read in November 2026. Each university decides its own admissions; we teach maths, not the exams.
What a tutor can honestly offer is the maths underneath: fluent algebra, confident geometry, and the habit of checking an answer before moving on. Students who also want practice in maths reasoning can see our razonamiento matemático classes, and families comparing tutors will find our guide to private maths tutor fees in Peru useful.
A Lima maths lesson
Is Metro Line 1 longer than a straight line from Villa El Salvador to Bayóvar?
Obviously, a student says. Then we ask: by how much, and can you prove it from data? This lesson, ours, uses the official list of Line 1 stations and two ideas from secundaria: Pythagoras and the triangle inequality.
The data
The AATE, the Ministry of Transport authority for the Lima and Callao metro, publishes "ESTACIONES DE METRO DE LIMA - LINEA 1" on Peru's Plataforma Nacional de Datos Abiertos under the Open Data Commons Attribution Licence (ODC-By). The file, estaciones2018.xlsx, lists 26 stations from Villa El Salvador in the south to Bayóvar in San Juan de Lurigancho, each with a district, an address and its latitude and longitude written as text.
We copied the station, district and coordinate columns into a small file of our own, estaciones-linea1.csv, keeping the stations in the order the file gives them.
The maths
Latitude and longitude are angles, not distances. Near Lima, one degree of latitude is about 111.19 km (our figure: the Earth's mean radius of 6,371 km times pi over 180). A degree of longitude is shorter, by the cosine of the latitude, which near 12 degrees south is 0.9779.
Over a few kilometres the ground is nearly flat, so we can turn each pair of stations into a right-angled triangle, north-south and east-west, and use Pythagoras for the straight distance between them.
Version 1: one straight line, end to endPython
import csv
import math
stations = []
with open("estaciones-linea1.csv", encoding="utf-8") as src:
for row in csv.DictReader(src):
lat, lon = row["latlon"].strip("()").split(",")
stations.append((row["estacion"], float(lat), float(lon)))
a, b = stations[0], stations[-1]
d_lat = b[1] - a[1]
d_lon = b[2] - a[2]
print("Stations:", len(stations))
print("Straight line in degrees:", round(math.hypot(d_lat, d_lon), 4))
print("Times 111.19 km:", round(111.19 * math.hypot(d_lat, d_lon), 2), "km")
It prints: Stations: 26, Straight line in degrees: 0.2531 and Times 111.19 km: 28.15 km.
Version 1 treats a degree east the same as a degree north, which is slightly wrong. Version 2 fixes that with the cosine, then does the more interesting thing: it adds up the 25 straight hops from each station to the next.
Version 2: scale longitude, then compare the hops with the straight linePython
import csv
import math
KM_PER_DEGREE = 111.19 # our value: 6,371 km x pi / 180
stations = []
with open("estaciones-linea1.csv", encoding="utf-8") as src:
for row in csv.DictReader(src):
lat, lon = row["latlon"].strip("()").split(",")
stations.append((row["estacion"], float(lat), float(lon)))
def km(p, q):
mid = math.radians((p[1] + q[1]) / 2)
north = (q[1] - p[1]) * KM_PER_DEGREE
east = (q[2] - p[2]) * KM_PER_DEGREE * math.cos(mid)
return math.hypot(north, east)
ends = km(stations[0], stations[-1])
hops = [km(p, q) for p, q in zip(stations, stations[1:])]
print("End to end:", round(ends, 2), "km")
print("Sum of", len(hops), "hops:", round(sum(hops), 2), "km")
print("Ratio:", round(sum(hops) / ends, 3))
longest = max(range(len(hops)), key=lambda i: hops[i])
print("Longest hop:", stations[longest][0], "to", stations[longest + 1][0], round(hops[longest], 2), "km")
It prints: End to end: 28.12 km, Sum of 25 hops: 32.39 km, Ratio: 1.152 and Longest hop: Cabitos to Angamos 1.85 km.
Straight-line distances between some neighbouring stations (our calculation)
From and to
Straight distance
Villa El Salvador to Parque Industrial
1.36 km
Cabitos to Angamos (the longest hop)
1.85 km
La Cultura to Arriola
1.34 km
El Ángel to Presbítero Maestro (the shortest)
0.59 km
Santa Rosa to Bayóvar
1.16 km
Data: MTC, AATE, Estaciones de Metro de Lima, Línea 1 (estaciones2018.xlsx), Plataforma Nacional de Datos Abiertos, ODC-By. Distances are ours, straight lines between the published coordinates; they are not the length of the track, which curves between stations, and we print no official route length.
Three results, three lessons. First, the cosine changed the end-to-end distance by only 0.03 km; ask the student why (the line runs mostly north to south, so the east-west leg is small). Second, the hops add up to 32.39 km against 28.12 km in a straight line, a ratio of 1.152. That is the triangle inequality at work: going from A to C through B is never shorter than going straight from A to C, so every bend adds distance. Third, the real track is longer still, because it curves between stations, so 32.39 km is a lower bound for the track, not its length.
Primaria, 9 to 11. On squared paper, walk from one corner of a 3 by 4 rectangle to the opposite corner along the edges, then diagonally. Measure both. Which is shorter, and is it always?
1° and 2° de secundaria. Prove that a triangle with sides 3 cm, 4 cm and 8 cm cannot exist. What rule did you use?
3° and 4° de secundaria. Use Pythagoras by hand on the Cabitos to Angamos hop: the stations are 0.0166 degrees apart north to south and 0.0004 east to west. Check you get about 1.85 km.
5° de secundaria and IB. Why does a degree of longitude shrink with the cosine of the latitude? Sketch the Earth and a circle of latitude to explain.
Going further. If the metro added a station halfway between two existing ones, but 200 metres to the side, how much would the sum of hops grow? Use the triangle inequality to estimate first, then calculate.
By level
What does maths tutoring look like at each age?
The same principles at every level: diagnose first, explain in small steps, and have the student explain back. The topics change with the grade.
Typical tutoring focus by stage (our plans, set beside CNEB grades)
Stage
Grades and ages
Typical focus
Course
Early primaria
1° to 3°, ages 6 to 8
Place value, addition and subtraction strategies
Elementary maths
Late primaria
4° to 6°, ages 9 to 11
Fractions, decimals, proportion, area
Elementary maths, mental maths
Early secundaria
1° to 2°, ages 12 to 13
Integers, first equations, ratio
Middle school maths, algebra foundations
Late secundaria
3° to 5°, ages 14 to 16
Functions, trigonometry, statistics
High school maths
Cambridge and IB
Usually 14 to 18
IGCSE Core and Extended, IB AA and AI
IGCSE maths, IB maths
After school
17 and over
University calculus, statistics, refreshers
University maths, statistics
Diagnose
The free first class includes a short diagnostic in the student's current topic. The tutor writes down where understanding stops, not just which answers were wrong.
Explain
New ideas arrive in small steps on a shared whiteboard. The tutor uses the notation the student's school uses, and asks for the method out loud before any shortcut.
Check
Every class ends with a problem the student solves alone. Families get a short note on what was covered and what to practise.
Lima and online classes
Why take maths classes online in Lima?
Because Lima is very large. INEI counted 10,141,775 people in Lima Metropolitana in 2025, across 43 districts, and a weekly trip to a tutor's home or an academy costs real time.
One city, very different distances
San Juan de Lurigancho alone had 1,176,422 people in 2025, more than most Peruvian departments; Villa El Salvador had 451,546. A family at either end of Line 1 is the same distance from an online tutor as a family in Miraflores.
Lima's 2017 city figure, which INEI gives for Lima province together with Callao, was 9,562,280. The 2025 total for Lima Metropolitana does not include Callao, so the two are never compared as growth.
What a family needs
A laptop or tablet, headphones and a steady connection. In Lima Metropolitana, INEI found 92.4% of people aged 6 and over used the internet in the second quarter of 2026.
A pen and paper matter as much as the screen. Students write their working on paper and hold it up, or use the shared whiteboard, so the tutor sees every step.
Class times
What time are online maths classes in Lima?
Whenever suits you. Lima is on Peru time all year, and tutors plan around it.
Lima time and the tutor's time in India, examples only
Lima
India
Day in India
06:00
16:30
Same day
08:30
19:00
Same day
11:00
21:30
Same day
16:00
02:30
Following day
19:30
06:00
Following day
Peru: UTC minus 5 hours, no daylight saving (tz database zone America/Lima). India: UTC plus 5 hours 30 minutes. India is therefore 10 hours 30 minutes ahead of Lima on every date.
Since neither clock changes, a weekly slot chosen in March holds until December and beyond. Families book in Lima time and the tutor sees the matching India time. Tutoring continues through school holidays unless you choose to pause; many students use the January to March break to close gaps before the new school year.
Progress
How a Lima student's maths grows with us
Our own stages, used for every age. They describe what the student can do and explain, not how many worksheets they finished.
Maths milestones (ours)
Stage
What it looks like
The student can
1. Fluent
Facts recalled without strain
Calculate accurately and estimate first
2. Flexible
More than one method
Solve a problem two ways and compare
3. Symbolic
Letters for numbers
Turn a sentence into an equation and solve it
4. Visual
Graphs and diagrams
Sketch a function or a figure before calculating
5. Proving
Why, not only what
Justify a rule such as the triangle inequality
6. Modelling
Maths on real data
Use maths on a real file and state its limits
For parents
Stages 5 and 6 are what the Metro lesson reaches: a student who can say why 32.39 km is a lower bound, not just compute it.
You hear from the tutor after each block of classes.
For students
A detour is never shorter. If your answer says it is, check your working.
Write the method before the number.
More maths courses
Nine more maths courses for Lima learners
Grouped by stage. Each is taught live in English by a regular tutor, in a group or one to one.
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Fees
Maths tutoring fees for Lima families
Fees are monthly and set in US dollars. We charge your card in dollars; your bank converts to soles at its own rate, which can make the statement differ a little from the amount shown.
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Lima families ask
Maths tutor in Lima: questions and answers
Are the classes in Spanish?
No. Every maths class is live, online and in English only. Tutors speak at a steady pace, follow the student's accent and speed, and when a student answers in Spanish they reply with the English term. For many Lima families the English is part of the point.
Do you tutor IB and IGCSE maths in Lima?
Yes. We teach IB Mathematics Analysis and Approaches and Applications and Interpretation at SL and HL, and IGCSE Core and Extended. We are not connected with the IB, Cambridge or any school, and the school awards the grades.
Can you help a student at a Spanish-medium colegio?
Yes. Tutors follow the CNEB topics the student is meeting in class and explain them in simple English. Maths vocabulary is small and exact, so most students follow it quickly.
Do you prepare students for university admission exams?
No. Admission exams are set in Spanish by each university, which alone decides who is admitted. We teach the maths underneath them, such as algebra, geometry and careful checking, and we are not connected with any university.
What ages do you teach?
From early primaria to adults. Six to eight year olds work on number sense, secundaria students on algebra, functions and statistics, and adults on refreshers, university maths or statistics.
What time are the classes?
Any day, any time, flexible: choose a batch, or for a very personalised plan choose 1-on-1 at the hour that suits your family. Lima is on Peru time all year and the tutor in India is 10 hours 30 minutes ahead, so 08:30 in Lima is 19:00 there.
How does a tutor see my child's working online?
On a shared whiteboard, or by the student holding written work up to the camera. Tutors ask for the method out loud as well as on paper.
How much does maths tutoring cost?
Fees are monthly, shown on this page in US dollars and charged by card in dollars; your bank converts them to soles. Visitors in India see rupees. The first class is free.
Is there a certificate?
Courses that include one end with our own certificate of completion. It is not a Peruvian school grade or qualification and is not issued by MINEDU, the IB or Cambridge.
The first class is a short diagnostic in the topic your child is studying now. Afterwards the tutor explains what they found and proposes a starting point and a format.
If you would rather read first, how we teach describes a class and the course list holds every syllabus.
Classes are live and online, taught in English only by tutors in India. WhatsApp, in English, is the quickest way to reach us.
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.
