Mental maths topics by age
MathMind asks different maths at different ages. Set the player's age (4 to 18+) and the game picks one of ten difficulty bands — below is exactly which of its 26 topics each band practises, with example questions for every topic. The topic map follows the CBSE syllabus.
Topics at each age
Little Sprout · 2 topics
Play at age 4 →Beginner · 5 topics
Addition, Subtraction, Multiplication, Division, Rounding & Estimation
Play at age 6 →Explorer · 6 topics
Addition, Subtraction, Multiplication, Division, Order of Operations, Rounding & Estimation
Play at age 7 →Riser · 10 topics
Addition, Subtraction, Multiplication, Division, Order of Operations, Decimals, Fractions, Percentage of, HCF & LCM, Rounding & Estimation
Play at age 8 →Achiever · 10 topics
Integers, Fractions, Decimals, Order of Operations, Ratio & Proportion, Percentage of, Exponents & Powers, HCF & LCM, Evaluate Expressions, Perimeter & Area
Play at age 9 →Challenger · 16 topics
Integers, Fractions, Decimals, Percentage of, What Percent, Percent Change, Ratio & Proportion, Profit & Loss, Simple Interest, Exponents & Powers, Squares, Cubes & Roots, Simple Equations, Evaluate Expressions, Algebraic Terms, Perimeter & Area, Lines & Angles
Play at age 10 →Expert · 12 topics
Integers, Squares, Cubes & Roots, Exponents & Powers, Percent Change, Compound Interest, Profit & Loss, Simple Interest, Simple Equations, Evaluate Expressions, Algebraic Terms, Ratio & Proportion, Perimeter & Area
Play at age 11 →Ace · 9 topics
Exponents & Powers, Squares, Cubes & Roots, Evaluate Expressions, Simple Equations, Algebraic Terms, HCF & LCM, Perimeter & Area, Percentage of, Compound Interest
Play at age 12 →Prodigy · 8 topics
Arithmetic Progression, Trigonometric Values, Simple Equations, Squares, Cubes & Roots, Evaluate Expressions, Percent Change, Compound Interest, Perimeter & Area
Play at age 13 →Pro · 23 topics
Multiplication, Division, Order of Operations, Integers, Fractions, Decimals, Percentage of, What Percent, Percent Change, Ratio & Proportion, Profit & Loss, Simple Interest, Compound Interest, Exponents & Powers, Squares, Cubes & Roots, HCF & LCM, Simple Equations, Evaluate Expressions, Algebraic Terms, Perimeter & Area, Lines & Angles, Arithmetic Progression, Trigonometric Values
Play at age 14+ →All 26 topics, with example questions
Tap a question to see the answer. Every example is in the format the game asks it, inside the same number ranges.
Addition
Adding whole numbers — single digits first, then two- and three-digit sums.
8 + 7Show answer
= 15346 + 58Show answer
= 404
Asked at: Ages 4–5 · Age 6 · Age 7 · Age 8
Subtraction
Taking away, from small numbers up to three-digit differences. Answers are never negative.
17 − 4Show answer
= 13642 − 185Show answer
= 457
Asked at: Ages 4–5 · Age 6 · Age 7 · Age 8
Multiplication
Times tables up to 12 × 12, then two-digit numbers times one- and two-digit numbers.
7 × 8Show answer
= 5643 × 6Show answer
= 258
Asked at: Age 6 · Age 7 · Age 8 · Ages 14 to adult
Division
Exact division — every answer is a whole number, so it is the times tables in reverse.
54 ÷ 6Show answer
= 9168 ÷ 12Show answer
= 14
Asked at: Age 6 · Age 7 · Age 8 · Ages 14 to adult
Order of Operations
Three numbers and two operations, where doing them in the right order matters.
4 + 3 × 5Show answer
= 19(6 + 2) × 7Show answer
= 56
Asked at: Age 7 · Age 8 · Age 9 · Ages 14 to adult
Integers
Adding, subtracting and multiplying positive and negative numbers.
(−7) + 12Show answer
= 59 − (−6)Show answer
= 15
Asked at: Age 9 · Age 10 · Age 11 · Ages 14 to adult
Fractions
Adding and subtracting fractions with different denominators; the answer goes in lowest terms.
1/2 + 1/4Show answer
= 3/45/6 − 1/4Show answer
= 7/12
Asked at: Age 8 · Age 9 · Age 10 · Ages 14 to adult
Decimals
Adding and subtracting decimals, and multiplying a decimal by a whole number.
1.4 + 2.7Show answer
= 4.13.5 × 4Show answer
= 14
Asked at: Age 8 · Age 9 · Age 10 · Ages 14 to adult
Percentage of
Finding a percentage of a number — 10%, 25%, 50% first, then 5%, 15%, 40%, 75%.
25% of 80Show answer
= 2015% of 400Show answer
= 60
Asked at: Age 8 · Age 9 · Age 10 · Age 12 · Ages 14 to adult
What Percent
Working out what percent one number is of another.
30 is what % of 120?Show answer
= 2560 is what % of 80?Show answer
= 75
Asked at: Age 10 · Ages 14 to adult
Percent Change
Increasing or decreasing a number by a percentage.
Increase 200 by 15%Show answer
= 230Decrease 80 by 25%Show answer
= 60
Asked at: Age 10 · Age 11 · Age 13 · Ages 14 to adult
Ratio & Proportion
Completing an equivalent ratio.
3 : 12 = 5 : ?Show answer
= 204 : 28 = 6 : ?Show answer
= 42
Asked at: Age 9 · Age 10 · Age 11 · Ages 14 to adult
Profit & Loss
Cost price, selling price and the profit or loss percent between them.
CP 800, 25% profit. SP = ?Show answer
= 1000CP 1200, SP 1080. loss % = ?Show answer
= 10
Asked at: Age 10 · Age 11 · Ages 14 to adult
Simple Interest
Simple interest from principal, rate and time.
P=500, R=4%, T=3 yr. SI = ?Show answer
= 60P=1500, R=10%, T=2 yr. SI = ?Show answer
= 300
Asked at: Age 10 · Age 11 · Ages 14 to adult
Compound Interest
Two years of compound interest at 10% or 20% — the amount, or the interest alone.
P=500, R=10%, T=2 yr. Amount (CI) = ?Show answer
= 605P=1000, R=20%, T=2 yr. Compound Interest = ?Show answer
= 440
Asked at: Age 11 · Age 12 · Age 13 · Ages 14 to adult
Exponents & Powers
Powers of small numbers and the laws of indices for multiplying and dividing.
5^3Show answer
= 1253^4 × 3^2 = 3^?Show answer
= 6
Asked at: Age 9 · Age 10 · Age 11 · Age 12 · Ages 14 to adult
Squares, Cubes & Roots
Squares and cubes, and square and cube roots of perfect squares and cubes.
13²Show answer
= 169√324Show answer
= 18
Asked at: Age 10 · Age 11 · Age 12 · Age 13 · Ages 14 to adult
HCF & LCM
Highest common factor and lowest common multiple of two numbers.
HCF of 18 and 24Show answer
= 6LCM of 4 and 6Show answer
= 12
Asked at: Age 8 · Age 9 · Age 12 · Ages 14 to adult
Simple Equations
Solving one-step and two-step linear equations for x.
Solve: 3x + 7 = 22Show answer
= 5Solve: 4x − 5 = 31Show answer
= 9
Asked at: Age 10 · Age 11 · Age 12 · Age 13 · Ages 14 to adult
Evaluate Expressions
Substituting a value of x into an expression.
If x = 6, find 4x + 3Show answer
= 27If x = 9, find 5x − 8Show answer
= 37
Asked at: Age 9 · Age 10 · Age 11 · Age 12 · Age 13 · Ages 14 to adult
Algebraic Terms
Adding and subtracting like terms.
Simplify: 7x + 5x = ?xShow answer
= 12Simplify: 11x − 4x = ?xShow answer
= 7
Asked at: Age 10 · Age 11 · Age 12 · Ages 14 to adult
Perimeter & Area
Perimeter and area of squares and rectangles, triangles, and circles with π = 22/7.
Area of triangle, base 10, height 6Show answer
= 30Area of circle, r=7 (π=22/7)Show answer
= 154
Asked at: Age 9 · Age 10 · Age 11 · Age 12 · Age 13 · Ages 14 to adult
Lines & Angles
Complementary and supplementary angles, angles on a line and the angles of a triangle.
Complement of 35°Show answer
= 55Triangle angles 60° and 75°. Third = ?Show answer
= 45
Asked at: Age 10 · Ages 14 to adult
Rounding & Estimation
Rounding to the nearest ten and to the nearest whole number.
Round 347 to nearest 10Show answer
= 350Round 12.6 to nearest wholeShow answer
= 13
Asked at: Age 6 · Age 7 · Age 8
Arithmetic Progression
Finding the nth term of an arithmetic progression.
AP 3, 7, 11, … find 6th termShow answer
= 23AP 5, 9, 13, … find 8th termShow answer
= 33
Asked at: Age 13 · Ages 14 to adult
Trigonometric Values
Sine, cosine and tangent of the standard angles 0°, 30°, 45°, 60° and 90°.
sin 30° = ?Show answer
= 0.5tan 45° = ?Show answer
= 1
Asked at: Age 13 · Ages 14 to adult
How the game uses these topics
Every mode — the ranked 90-second Arena, the Daily Challenge, the 100-level Journey, Timed Sprint, Adaptive Ladder, Fixed Set and Relaxed Endless — draws its questions from the topics for the player's age. You can solve in your head (Mental) or take your time (Physical). More on the modes and the weekly world board: About MathMind.
