Compare the Integers Game
Students see two integers — positive, negative, or zero — and steer the car toward the right comparison symbol before the timer runs out. The right turn keeps the car moving; the wrong one sends smoke pluming. It's the same way Cuemath tutors lock in integer comparison in live 1:1 classes.
Race for Equality
Grade 6
4 min · 6 rounds
Used in Cuemath 1:1 classes
About the game
Compare the Integers is a free online math game for Grade 6 students learning to compare integers. An in-game tutorial introduces the racing mechanic, then each round shows two integers — positive or negative — and three lanes ahead, one for less than, one for greater than, one for equal. The student steers the car into the right lane before the timer runs out. The right lane keeps the car racing forward; the wrong lane shakes the car and sends smoke pluming. Across 6 rounds, students confront the move that defines integer reasoning: with negative numbers the comparison flips — -7 is less than -3, not greater, because position on the number line decides the order, not the size of the digits.
From the classroom
How Cuemath Tutors Use This Game
Tutors use this when a student understands integer comparison in principle but still freezes for a beat on negative pairs. Race for Equality applies a gentle timer pressure — not as a stress test, but as a fluency challenge. Comparing 5 and 8 should feel automatic; comparing -5 and -8 should feel just as automatic, but it usually doesn't, because the digit size says one thing and the number line says another. The car steering forces the student to commit before the doubt loop kicks in.
Once a student has raced through a few rounds, the question 'which is bigger?' starts to be answered by sight, not by hesitation. Tutors often ask 'where does each number sit on the number line?' before the student commits — so the spatial check leads the comparison, not the absolute value of the digits.
Often paired with
Plotting and ordering integers before, integer arithmetic after.
What students said
Students learned to spot the answer before steering — calling out 'less than!' on a tricky negative pair, then watching the car sail through the right lane and pick up confetti.
Grade 6 classroom feedback
Collected across 100+ live 1:1 classes
Cuemath 1:1 classes
A Cuemath tutor can do what a game can’t — diagnose exactly where your child gets stuck on integers, and sequence what comes next.
What Your Child Practices
Four dimensions from the Cuemath FUAR taxonomy — Fluency, Understanding, Application, Reasoning — applied to this game.
Fluency
Fluency in comparing two integers on sight — picking the correct relationship (<, >, =) before the timer runs out, even when negatives are in play.
Understanding
Understanding that integer comparison rests on position on the number line, not on the digit size: -7 is less than -3 because it sits further to the left.
Application
Application of comparison reasoning to whatever pair the next stretch of road throws up — positives, negatives, and mixed — across 6 rounds.
Reasoning
Reasoning about why the comparison flips for negatives — and why this single insight unlocks every later operation on integers, from addition through to inequalities.
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400,000+ parents
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- 10K+ Kids Taught
- 20+ Years of Teaching
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"Ms. Shalini Kumar is the best of the best—very experienced and always working hard with my daughter to help her achieve great results in math. We continue booking with her every year."
LH
Linet Haratunian
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Dedicated Math Mentor
"Ms SURANA has real enthusiasm and energy to teach. My kids improved their math skills drastically with her. Thanks Ms Priya."
ÜA
Ümit Aykut
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Motivation That Works
"Reena is an amazing teacher who builds motivation gently and effectively. Our son looks forward to every session. Cuemath has deepened his understanding and let him explore topics he loves."
J
Jen
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Caring, Clear Support
"As a parent, I feel valued and supported by Mrs. Puduru Sandeepa. She involves me, always communicates clearly, and creates a caring environment that improves my daughter's understanding."
E
Eliza
🇺🇸
Confidence in Math
"My daughter has made major academic improvements since joining Cuemath. She's more confident because Ms. Supriya teaches using her school textbooks. Enrolling her in Cuemath was a great decision!"
MO
Myra Olarte
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Math Support for ADHD
"I'm so grateful for the amazing support Ms. Mehak has given my son with ADHD. Her patience and creative teaching have built his confidence. He looks forward to math and enjoys learning!"
S
Shital
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Math Made Enjoyable
"Ms. Supriya has been teaching my daughters for 3 years. She tailors lessons patiently, builds confidence, and skills. My girls actually enjoy learning math with her, which says a lot!"
P
Payal
🇺🇸
Love for Math Lessons
"Our son looks forward to his math lessons with Ms. Sonal Kesal. She is incredibly patient, explains concepts clearly, keeps him engaged. He progressed to 5th grade math mid-4th grade."
R
Radhika
🇺🇸
Ahead in Math
"My daughter has been with Cuemath for 2+ years. With tutor Anjali and engaging worksheets, she's made tremendous progress and can confidently solve 2nd-grade math in 1st grade."
KC
Karpukkarasi Chandrasekar
🇺🇸
Math Skills Improved
"My son has been with Cuemath for 5 years, from 1st-6th grade. I've seen a huge improvement in his confidence and problem-solving skills. He now approaches math with excitement, not fear."
RS
Ravikumar Sidda
🇺🇸
Wonderful Math Teacher
"My 3rd-grade son has improved greatly, and his love for math puzzles has grown tremendously after joining Cuemath. Ms. Atluri Ratna's expertise and engaging teaching make math truly enjoyable."
PD
Prasanna Devi
🇺🇸
Love for Math
"Our 4th grader loves math thanks to Rashmi Mam. Her patient, fun, and encouraging teaching has boosted confidence, focus, and test performance—making every session enjoyable."
SJ
Santhosh Jha
🇺🇸
Awesome Math Teacher
"Thanks to Abanti Mitra Mam. She's been a wonderful teacher for our 7th-grade daughter for 2.5 years. Patient, explains concepts well, adjusts timings, and gave extra sessions before exams."
JV
Jahnavi Vutharkar
🇺🇸
Gaining Confidence
"My child in 7th grade has gained confidence in math reasoning with Cuemath teacher Payal Agrawal. She explains concepts clearly and tailors her teaching to my child."
RS
Rekha Silwal
🇺🇸
Math Feels Easy
"My son started Cuemath in 2nd grade and still loves it in 5th! Thanks to Ms. Vinita's creative, fun teaching, math feels easy and exciting. He looks forward to every Cuemath class!"
SD
Shyam Deshmukh
🇺🇸
Exceptional Guidance
"Ms. Shalini Kumar is the best of the best—very experienced and always working hard with my daughter to help her achieve great results in math. We continue booking with her every year."
LH
Linet Haratunian
🇺🇸
Dedicated Math Mentor
"Ms SURANA has real enthusiasm and energy to teach. My kids improved their math skills drastically with her. Thanks Ms Priya."
ÜA
Ümit Aykut
🇺🇸
Motivation That Works
"Reena is an amazing teacher who builds motivation gently and effectively. Our son looks forward to every session. Cuemath has deepened his understanding and let him explore topics he loves."
J
Jen
🇺🇸
Caring, Clear Support
"As a parent, I feel valued and supported by Mrs. Puduru Sandeepa. She involves me, always communicates clearly, and creates a caring environment that improves my daughter's understanding."
E
Eliza
🇺🇸
Confidence in Math
"My daughter has made major academic improvements since joining Cuemath. She's more confident because Ms. Supriya teaches using her school textbooks. Enrolling her in Cuemath was a great decision!"
MO
Myra Olarte
🇺🇸
Math Support for ADHD
"I'm so grateful for the amazing support Ms. Mehak has given my son with ADHD. Her patience and creative teaching have built his confidence. He looks forward to math and enjoys learning!"
S
Shital
🇺🇸
Math Made Enjoyable
"Ms. Supriya has been teaching my daughters for 3 years. She tailors lessons patiently, builds confidence, and skills. My girls actually enjoy learning math with her, which says a lot!"
P
Payal
🇺🇸
Love for Math Lessons
"Our son looks forward to his math lessons with Ms. Sonal Kesal. She is incredibly patient, explains concepts clearly, keeps him engaged. He progressed to 5th grade math mid-4th grade."
R
Radhika
🇺🇸
Ahead in Math
"My daughter has been with Cuemath for 2+ years. With tutor Anjali and engaging worksheets, she's made tremendous progress and can confidently solve 2nd-grade math in 1st grade."
KC
Karpukkarasi Chandrasekar
🇺🇸
Math Skills Improved
"My son has been with Cuemath for 5 years, from 1st-6th grade. I've seen a huge improvement in his confidence and problem-solving skills. He now approaches math with excitement, not fear."
RS
Ravikumar Sidda
🇺🇸
Wonderful Math Teacher
"My 3rd-grade son has improved greatly, and his love for math puzzles has grown tremendously after joining Cuemath. Ms. Atluri Ratna's expertise and engaging teaching make math truly enjoyable."
PD
Prasanna Devi
🇺🇸
Love for Math
"Our 4th grader loves math thanks to Rashmi Mam. Her patient, fun, and encouraging teaching has boosted confidence, focus, and test performance—making every session enjoyable."
SJ
Santhosh Jha
🇺🇸
Awesome Math Teacher
"Thanks to Abanti Mitra Mam. She's been a wonderful teacher for our 7th-grade daughter for 2.5 years. Patient, explains concepts well, adjusts timings, and gave extra sessions before exams."
JV
Jahnavi Vutharkar
🇺🇸
Gaining Confidence
"My child in 7th grade has gained confidence in math reasoning with Cuemath teacher Payal Agrawal. She explains concepts clearly and tailors her teaching to my child."
RS
Rekha Silwal
🇺🇸
Math Feels Easy
"My son started Cuemath in 2nd grade and still loves it in 5th! Thanks to Ms. Vinita's creative, fun teaching, math feels easy and exciting. He looks forward to every Cuemath class!"
SD
Shyam Deshmukh
🇺🇸
Exceptional Guidance
"Ms. Shalini Kumar is the best of the best—very experienced and always working hard with my daughter to help her achieve great results in math. We continue booking with her every year."
LH
Linet Haratunian
🇺🇸
Dedicated Math Mentor
"Ms SURANA has real enthusiasm and energy to teach. My kids improved their math skills drastically with her. Thanks Ms Priya."
ÜA
Ümit Aykut
🇺🇸
Motivation That Works
"Reena is an amazing teacher who builds motivation gently and effectively. Our son looks forward to every session. Cuemath has deepened his understanding and let him explore topics he loves."
J
Jen
🇺🇸
Caring, Clear Support
"As a parent, I feel valued and supported by Mrs. Puduru Sandeepa. She involves me, always communicates clearly, and creates a caring environment that improves my daughter's understanding."
E
Eliza
🇺🇸
Confidence in Math
"My daughter has made major academic improvements since joining Cuemath. She's more confident because Ms. Supriya teaches using her school textbooks. Enrolling her in Cuemath was a great decision!"
MO
Myra Olarte
🇺🇸
Math Support for ADHD
"I'm so grateful for the amazing support Ms. Mehak has given my son with ADHD. Her patience and creative teaching have built his confidence. He looks forward to math and enjoys learning!"
S
Shital
🇺🇸
Math Made Enjoyable
"Ms. Supriya has been teaching my daughters for 3 years. She tailors lessons patiently, builds confidence, and skills. My girls actually enjoy learning math with her, which says a lot!"
P
Payal
🇺🇸
Love for Math Lessons
"Our son looks forward to his math lessons with Ms. Sonal Kesal. She is incredibly patient, explains concepts clearly, keeps him engaged. He progressed to 5th grade math mid-4th grade."
R
Radhika
🇺🇸
Ahead in Math
"My daughter has been with Cuemath for 2+ years. With tutor Anjali and engaging worksheets, she's made tremendous progress and can confidently solve 2nd-grade math in 1st grade."
KC
Karpukkarasi Chandrasekar
🇺🇸
Math Skills Improved
"My son has been with Cuemath for 5 years, from 1st-6th grade. I've seen a huge improvement in his confidence and problem-solving skills. He now approaches math with excitement, not fear."
RS
Ravikumar Sidda
🇺🇸
Wonderful Math Teacher
"My 3rd-grade son has improved greatly, and his love for math puzzles has grown tremendously after joining Cuemath. Ms. Atluri Ratna's expertise and engaging teaching make math truly enjoyable."
PD
Prasanna Devi
🇺🇸
Love for Math
"Our 4th grader loves math thanks to Rashmi Mam. Her patient, fun, and encouraging teaching has boosted confidence, focus, and test performance—making every session enjoyable."
SJ
Santhosh Jha
🇺🇸
Awesome Math Teacher
"Thanks to Abanti Mitra Mam. She's been a wonderful teacher for our 7th-grade daughter for 2.5 years. Patient, explains concepts well, adjusts timings, and gave extra sessions before exams."
JV
Jahnavi Vutharkar
🇺🇸
Gaining Confidence
"My child in 7th grade has gained confidence in math reasoning with Cuemath teacher Payal Agrawal. She explains concepts clearly and tailors her teaching to my child."
RS
Rekha Silwal
🇺🇸
Math Feels Easy
"My son started Cuemath in 2nd grade and still loves it in 5th! Thanks to Ms. Vinita's creative, fun teaching, math feels easy and exciting. He looks forward to every Cuemath class!"
SD
Shyam Deshmukh
🇺🇸
We love solving doubts
What is comparing integers?
Comparing integers means deciding whether one integer is less than, greater than, or equal to another. The standard symbols are < (less than), > (greater than), and = (equal). With positive integers, comparison feels natural: 5 < 8 because 8 sits further right on the number line, and the digits agree. With negatives, the rule still works — but the digits seem to disagree. -8 is less than -5 because -8 sits further to the left of zero, even though 8 is greater than 5 in the positive world. The rule is the number line, not the digits.
Why does the comparison flip for negative numbers?
Because the digits and the number line tell different stories once negatives are involved. With positives, more digits means more value — 8 is greater than 5 because it sits three units further to the right. With negatives, more digits means more distance from zero, but in the wrong direction: -8 sits eight units to the left of zero, while -5 sits only five units left. So -5 is greater than -8, even though 5 is less than 8 in the positive world. This single move — letting the number line decide instead of the digits — is what unlocks every later integer operation.
Does the game explain how to play?
Yes. The game opens with a short tutorial that explains the racing mechanic, the three lanes (less than, greater than, equal), and the timer. From the second round onwards, students play independently. The tutorial assumes nothing — even students new to negative numbers can pick up the rule before the first scored round begins.
How long does it take to play?
A full playthrough of all 6 rounds takes about 4 minutes. Each round is one integer comparison with a short timer, so the pace is quicker than most games in Cuemath Playground. The timer is meant to encourage recognition, not to penalise: a wrong steer just shakes the car briefly and the next round begins.
Is the game free? Will it stay free?
Yes. Compare the Integers is free to play now and will remain free. It's part of Cuemath Playground — a library of games that Cuemath tutors use with paying students, made freely available as part of Cuemath's mission to make every child MathFit. No signups, no paywalls, no hidden tiers.
Are there ads or distractions in the game?
No. The game has no third-party ads, no pop-ups, no promotional interruptions, no chat, and no user-generated content. A student can play any round from start to finish with nothing on screen except the game itself.
What should my child learn after this?
Once a student can confidently compare integers on sight, the natural next steps are integer arithmetic — adding, subtracting, multiplying, and dividing across the negative-positive line. Each of these operations builds on comparison: addition needs the student to know which way the result will move on the number line; subtraction is really addition of the opposite sign. All are Grade 6–7 topics covered in other Cuemath Playground games and in the full Grade 6 math curriculum.
How is this different from Math Gym in the Cuemath app?
This game lives on Cuemath's website as part of Cuemath Playground — a free, browser-based library of concept-specific games tied to grade-level curriculum (this one is built around Grade 6 integers). Math Gym is a separate section inside the Cuemath app, with daily strategy games, logic puzzles, and mental-math challenges — built around general mathematical fitness rather than a specific topic. Both belong to the MathFit journey, but they serve different purposes: Playground works through curriculum concepts; Math Gym builds daily practice across strategy, logic, and mental math. You don't need the app to play this game.
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