Mental Arithmetic

Interactive number games and mental arithmetic exercises in HTML and JavaScript written by Mike Kite

 

Countdown

Target numbers to 30	Target numbers to 50	Target numbers to 100
Target numbers to 200	Target numbers to 500	Target numbers to 1000

Functions

One variable Integers to 12, multipliers to 5	One variable Integers to 12, multipliers to 10	One variable Integers to 15, multipliers to 10
One variable Integers to 20, multipliers to 10	One variable Decimals to 3, multipliers to 10	One variable Decimals to 5, multipliers to 10
Two variables Integers to 10, multipliers to 5	Two variables Integers to 10, multipliers to 10	Two variables Integers to 12, multipliers to 10
Two variables Decimals to 2, multipliers to 5	Two variables Decimals to 3, multipliers to 6	Two variables Decimals to 5, multipliers to 10
Algebraic equations Integers to 6, multipliers to 5	Algebraic equations Integers to 9, multipliers to 5	Algebraic equations Integers to 10, multipliers to 6
Algebraic equations Integers to 10, multipliers to 10	Algebraic equations Decimals to 6, multipliers to 5	Algebraic equations Decimals to 10, multipliers to 10

Rounding

Rounding integers to 200 to the nearest 10	Rounding integers to 1000 to the nearest 10	Rounding integers to 5000 to the nearest 10
Rounding integers to 1000 to the nearest 100	Rounding integers to 5000 to the nearest 100	Rounding integers to 10000 to the nearest 100
Rounding decimals (tenths) to the nearest whole one	Rounding decimals (tenths & hundredths) to the nearest whole one	Rounding decimals (tenths & hundredths) to the nearest tenth

Addition

Addition to 5	Addition to 10	Addition to 20
Addition to 5 (totals first)	Addition to 10 (totals first)	Addition to 20 (totals first)
Counting on in 2s	Counting on and back in 2s	Counting in 2s, 3s or 5s
Counting in 2s, 3s, 4s or 5s	Counting in steps below zero
Counting on and back in 10s from 2 digit nos	Counting on and back in 10s from 3 digit nos	Counting on and back in 10s from 2 or 3 digit nos
Counting on and back in 100s 2 and 3 digit nos	Counting on and back in 10s and 100s 2 and 3 digit nos
Number Bonds of 10
Addition Totals to 10	Addition of money Totals to 20p	Addition of money Totals to 30p
Addition of nos to 10, totals to 20 Find sum	Addition of nos to 10, totals to 20 Find addend or sum	Addition of TU & U, totals to 20 Find sum
Addition of TU & U, totals to 30 Find sum	Addition of TU & TU, totals to 30 Find sum	Addition of TU & TU, totals to 30 Find addend or sum
Addition to 40, units to 9	Addition to 50, units to 9	Addition to 60, units to 9
Addition to 60, units to 15	Addition TU + U to 50	Addition TU + U to 100
Addition TU + TU totals to 60	Addition TU + TU totals to 80	Addition TU + TU totals to 100
Adding 10 to numbers to 50	Adding 10 to numbers to 90	Subtracting 10 from numbers to 50
Subtracting 10 from numbers to 100
Addition TU + TU crossing 100	Addition HTU + TU	Addition HTU + HTU
	Multiples of 5 summing 100
Multiples of 50 summing 1000	Multiples of 10 summing 1000	Multiples of 5 summing 1000
Integer pairs summing 20	Integer pairs summing 30	Integer pairs summing 50
Integer pairs summing 100	Integer pairs summing 200	Integer pairs summing 500
	Integer pairs summing 1000
Multiples of 10 summing 200	Multiples of 10 summing 300	Multiples of 10 summing 500
	Multiples of 10 summing 1000
Integer pairs summing multiples of 10 to 100	Integer pairs summing multiples of 10 to 200	Integer pairs summing multiples of 10 to 500
	Integer pairs summing multiples of 10 to 1000
Decimal pairs - tenths summing 10	Decimal pairs - tenths summing 20	Decimal pairs - tenths summing 50
	Decimal pairs - tenths summing 100
Decimal pairs - 0.th summing 1	Decimal pairs - U.th summing 2	Decimal pairs - U.th summing 5
Decimal pairs - U.th summing 10	Decimal pairs - TU.th summing 20	Decimal pairs - TU.th summing 50
Decimal pairs summing numbers to 10	Decimal pairs summing numbers to 20	Decimal pairs summing numbers to 50
	Decimal pairs summing numbers to 100
Negative & positive numbers -20 to 20	Negative & positive numbers -30 to 30	Negative & positive numbers -50 to 50
Negative & positive numbers Decimals -2 to 2	Negative & positive numbers Decimals -3 to 3	Negative & positive numbers Decimals -5 to 5
Negative & positive numbers Differences -20 to 20	Negative & positive numbers Differences -30 to 30	Negative & positive numbers Differences -50 to 50
Negative & positive numbers Differences decimals -2 to 2	Negative & positive numbers Differences decimals -3 to 3	Negative & positive numbers Differences decimals -5 to 5

Subtraction

Numbers to 20 subtract numbers to 10	Numbers to 30 subtract numbers to 10	Numbers to 50 subtract numbers to 10
Numbers to 100 subtract numbers to 10	Numbers to 50 subtract 10 to 20	Numbers to 100 subtract 10 to 20
Numbers to 50 subtract numbers to 20	Numbers to 60 subtract numbers to 30	Numbers to 100 subtract numbers to 40
Numbers to 100 subtract TU	Numbers 100-200 subtract TU	Numbers 100-200 subtract TU crossing 100
Numbers 100-200 subtract HTU	Numbers 200-300 subtract HTU	Numbers 300-500 subtract HTU
Near multiples of 100 (easier)	Near multiples of 100 (harder)	Near multiples of 1000
Change from £5.00 in 5p multiples	Change from £10.00 in 5p multiples	Change from £5.00
	Change from £10.00
Sums and differences Integers to 20	Sums and differences Integers to 30	Sums and differences Integers to 40
Sums and differences Integers to 50	Sums and differences Integers to 100	Sums and differences Integers to 200
Sums and differences Integers to 300	Sums and differences Integers to 500	Sums and differences Integers to 1000
Sums and differences Decimals to 10	Sums and differences Decimals to 20	Sums and differences Decimals to 30
Sums and differences Decimals to 40	Sums and differences Decimals to 50	Sums and differences Decimals to 100
Sums and differences Money to £3.00	Sums and differences Money to £5.00	Sums and differences Money to £10.00
Sums and differences Money to £20.00	Sums and differences Money to £50.00	Sums and differences Money to £100.00

Tables

2 times table	3 times table	4 times table
5 times table	6 times table	7 times table
8 times table	9 times table	10 times table
11 times table	12 times table	2, 5 and 10 times tables
	2, 3, 5 and 10 times tables
2, 4 and 8 times tables	2 to 5 times tables	2 to 6 times tables
6 to 9 times tables	2 to 10 times tables	2 to 12 times tables

Powers of Ten

Multiplication of integers TU by 10	Multiplication of integers HTU by 10
Multiplication of decimals TU.t by 10	Multiplication of decimals U.th by 10	Multiplication of decimals TU.th by 10
Multiplication of decimals by 10 - mixed
Multiplication of integers TU by 100	Multiplication of integers HTU by 100
Multiplication of decimals TU.t by 100	Multiplication of decimals HTU.t by 100	Multiplication of decimals TU.th by 100
Multiplication of decimals by 100 - mixed	Multiplication of integers by 10 & 100 - mixed	Multiplication of decimals by 10 & 100 - mixed

Division with integers HTU by 10	Division with integers ThHTU by 10
Division with decimals HTU by 10	Division with decimals ThHTU by 10	Division with decimals TU.t by 10
Division with decimals HTU.t by 10	Division by 10 - mixed integers & decimals
Division with integers ThHTU by 100
Division with decimals HTU by 100	Division with decimals ThHTU by 100
Multiplication of integers & decimals by 10 - mixed	Multiplication of integers & decimals by 10 or 100 - mixed	Division of integers & decimals by 10 & 100 - mixed

Multiplication

Multiplication of integers 11 to 30 by 2, 3, 4 and 5	Multiplication of integers 11 to 30 by 3, 4, 5 and 6	Multiplication of integers 11 to 30 by 6, 7, 8 and 9
Multiplication of integers 20 to 50 by 2, 3, 4 and 5	Multiplication of integers 20 to 50 by 3, 4, 5 and 6	Multiplication of integers 20 to 50 by 6, 7, 8 and 9
Multiplication of numbers to 10 by 2-5	Multiplication of numbers to 10 by 2-10	Multiplication by 2-10 products to 100
Multiplication of integers 11-20 by 2-6	Multiplication of integers 11-20 by 2-9	Multiplication of integers 11-30 by 2-6
Multiplications of integers 11-30 by 2-9	Multiplications of integers 11-50 by 2-6	Multiplication of integers 11-50 by 2-9
Multiplication of integers 11-100 by 2-6	Multiplication of integers 11-100 by 2-9	Multiplication of integers 51-100 by 2-9
Multiples of 10 x 2-6	Multiples of 10 x 2-10	Multiples of 10 x 2-20
	Multiplication of TU by 10
Multiplication by 10 Integers	Multiplication by 100 Integers	Multiplication by 1000 Integers
Multiplication by 10 Decimals	Multiplication by 100 Decimals	Multiplication by 1000 Decimals
Multiplication by powers of 10	Multiplication by powers of 10: Decimals	Multiplication to 10000 Decimals
Multiplication by 11 integers to 50	Multiplication by 11 integers to 100	Multiplication by 11 decimals
Multiplication by 12 integers to 100	Multiplication by 9 integers to 100
Multiplication by 9 and 11 integers to 50	Multiplication by 9 and 11 integers to 100	Multiplication by 9 and 11 decimals
Multiplication by 11 and 12 integers to 50	Multiplication by 11 and 12 integers to 100	Multiplication by 11 and 12 decimals
Multiply numbers to 20 by 20	Multiply numbers to 30 by 20	Multiply numbers to 50 by 20
Multiply decimals to 2 by 20	Multiply decimals to 3 by 20	Multiply decimals to 5 by 20
Multiplication by 21 numbers to 30	Multiplication by 21 numbers to 50	Multiplication by 21 decimals to 5
Multiplication by 19 numbers to 50	Multiplication by 19 and 21 numbers to 50	Multiplication by 19 and 21 decimals
Multiply by 50 (even numbers to 50)	Multiply by 50 (numbers to 50)	Multiply by 50 (numbers to 100)
Multiply by 50 (integers to 200)	Multiply by 50 (decimals U.t)	Multiply by 50 (decimals U.th)
Multiply by 25 (numbers to 50)	Multiply by 25 (even numbers to 100)	Multiply by 25 (numbers to 100)
Double numbers to 15	Double numbers to 30 (units to 10)	Double numbers to 20
Double numbers to 30	Double numbers to 40	Double numbers to 50
	Doubling/halving multiples of 5 to 100
Double numbers to 100	Double numbers to 200	Double numbers to 500
Double decimals to 10	Double decimals to 20	Double decimals to 50
Quadruple numbers to 20	Quadruple numbers to 50	Quadruple numbers to 100
Quadruple numbers to 200	Quadruple numbers to 500	Quadruple decimals to 10
Quadruple decimals to 20	Quadruple decimals to 50	Quadruple decimals to 100
Multiply numbers to 30 by 6	Multiply numbers to 50 by 6	Multiply numbers to 100 by 6
Multiply decimals to 10 by 6	Multiply decimals to 20 by 6	Multiply decimals to 30 by 6
Multiply integers to 30 by 8	Multiply integers to 50 by 8	Multiply integers to 100 by 8
Multiply decimals to 10 by 8	Multiply decimals to 20 by 8	Multiply decimals to 30 by 8
Multiply decimals to 10 by 2-5	Multiply decimals to 20 by 2-5	Multiply decimals to 30 by 2-5
Multiply decimals to 10 by 2-9	Multiply decimals to 20 by 2-9	Multiply decimals to 30 by 2-9

Squares, Factors and Multiples

Squares of numbers to 12	Squares of numbers to 16	Squares of numbers to 20
Factor pairs, numbers to 64	Factor pairs, numbers to 100	Factor pairs, numbers to 144
Factor pairs, numbers to 200	Factor pairs, numbers to 225	Factor pairs, numbers to 400
Lowest Common Multiples, numbers to 10	Lowest Common Multiples, numbers to 12	Lowest Common Multiples, numbers to 16
Lowest Common Multiples, numbers to 20	Lowest Common Multiples, 3 numbers to 10	Lowest Common Multiples, 3 numbers to 12

Division

Division of TU by 2-5 Quotients to 10	Division of TU by 2-10 Quotients to 10	Division of TU by 2-10 Quotients to 20
TU/HTU divided by 2-10 Quotients to 15	TU/HTU divided by 2-10 Quotients to 20	TU/HTU divided by 2-12 Quotients to 20
Division of TU by 10 (with remainders)	Multiplication & division of TU by 10	Division of HTU by 10 (no remainders)
Division by 10 (Integer quotients)	Division by 10 (Decimal quotients)	Division by 100 (Integer quotients)
Division by 100 (Decimal quotients)	Division by 1000 (Decimal quotients)	Division by powers of 10 (Decimal quotients)
Halve numbers to 40	Halve numbers to 100	Halve numbers to 200
Halve numbers to 500	Halve numbers to 1000
Halve numbers to 100 (decimal quotients)	Halve numbers to 200 (decimal quotients)	Halve numbers to 500 (decimal quotients)
	Halve numbers to 1000 (decimal quotients)
Quarter numbers to 60	Quarter numbers to 100	Quarter numbers to 200
Quarter numbers to 500	Quarter numbers to 1000
Quarter numbers to 100 (decimal quotients)	Quarter numbers to 200 (decimal quotients)	Quarter numbers to 500 (decimal quotients)
	Quarter numbers to 1000 (decimal quotients)
Sixths of numbers to 600 (easy)	Sixths of numbers to 300 (harder)	Sixths of numbers to 150 (decimal quotients)
Eighths of numbers to 300, integer quotients	Eighths of numbers to 200, quotients to 0.5	Eighths of numbers to 300, quotients to 0.5
Eighths of numbers to 200, quotients to 0.25	Eighths of numbers to 500, quotients to 0.25

Fractions

1/2, 1/4, 1/5 and 1/10 of numbers to 50	1/2 1/3 1/4 1/5 1/6 and 1/8 of numbers to 50
1/2, n/4 and n/8 of numbers to 50	1/2, n/5 and n/10 of numbers to 50	1/2, n/3 and n/6 of numbers to 50
1/2, n/3, n/4, n/5, n/6, n/8 of numbers to 50	1/2 n/3 n/4 n/5 n/6 n/8 n/10 of numbers to 60
1/2, 1/4 and 1/8 of numbers to 100	1/2, 1/5 and 1/10 of numbers to 100	1/2, 1/3 and 1/6 of numbers to 100
1/2, n/4, n/8 of numbers to 100	1/2, n/5 and n/10 of numbers to 100	1/2, n/4, n/5, n/10 of numbers to 100
1/2, n/3, n/4, n/6 of numbers to 100	1/2 n/3 n/4 n/5 n/6 n/8 n/10 of numbers to 100
Fractions of numbers to 200	Fractions of numbers to 300
Fractions of numbers to 1000	Fractions of numbers to 1000 including n/7 n/9 and n/12
Fraction equations 1/2, n/4, n/8 of numbers to 100	Fraction equations 1/2, n/4, n/5, n/10 of numbers to 100	Fraction equations 1/2, n/3, n/4, n/6 of numbers to 100
1/2s, 1/4s, 1/5s, 1/8s, 1/10s of multiples of 20 to 400	1/2 n/4 n/5 n/10 of £5 multiples to £30
1/2 n/4 n/5 n/10 to 3m	1/2 n/4 n/5 n/8 n/10 to 5m	Fractions of length finding fraction or whole
Fractions of mass kg.g 1/2s, 1/4s, 1/10s	Fractions of mass kg.g 1/2s, 1/4s, 1/5s, 1/8s, 1/10s	Fractions of mass finding fraction or whole
Fractions of capacity l.ml 1/2s, 1/4s, 1/10s	Fractions of capacity l.ml 1/2s, 1/4s, 1/5s, 1/8s, 1/10s	Fractions of capacity finding fraction or whole
Increasing by halves and quarters	Decreasing by halves and quarters	Increasing and decreasing by halves and quarters
Increasing by halves, fifths and tenths	Decreasing by halves, fifths and tenths	Increasing and decreasing by halves, fifths and tenths
Equivalent fractions Increasing	Equivalent fractions Decreasing
Equivalent fractions Increasing numerator and denominator	Equivalent fractions Decreasing numerator and denominator	Cancelling fractions Reducing to lowest terms
Fractions to decimals 1/2s, 1/10s	Fractions to decimals 1/2s, 1/5s, 1/10s	Fractions to decimals 1/2s, 1/4s, 1/5s, 1/10s
Fractions to decimals 1/2s, 1/4s, 1/5s, 1/10s, 1/100s	Fractions to decimals 1/2s, 1/4s, 1/5s, 1/10s, 1/20s	Fractions to decimals all fractions to 1/100s
Mixed numbers to decimals 1/2s, 1/10s	Mixed numbers to decimals 1/2s, 1/5s, 1/10s	Mixed numbers to decimals 1/2s, 1/4s, 1/5s, 1/10s
Mixed numbers to decimals 1/2s, 1/4s, 1/5s, 1/10s, 1/100s	Mixed numbers to decimals 1/2s, 1/4s, 1/5s, 1/10s, 1/20s	Mixed numbers to decimals all fractions to 1/100s

Percentages

Fractions to percentages 1/2s, 1/4s, 1/10s, 1/100s	Fractions to percentages 1/2s, 1/4s, 1/5s, 1/10s, 1/100s	Fractions to percentages 1/2s, 1/4s, 1/5s, 1/10s, 1/20s, 1/100s
10% multiples of numbers to 100	10% multiples of numbers to 200
10% and 25% multiples of numbers to 100	10% and 25% multiples of numbers to 200	10% and 25% multiples of numbers to 500
5% multiples of numbers to 100	5% multiples of numbers to 200	5% multiples of numbers to 500
% of numbers to 200	% of numbers to 500	% of numbers to 1000
10% and 25% multiples of £ to £10	5% multiples of £ to £10	10% and 25% multiples of £.p to £10
Length: 10% and 25% multiples of m to 10m	Length: 5% multiples of m to 10m	Length: 10% and 25% multiples of m.x to 10m
Mass: 10% and 25% multiples of kg to 10kg	Mass: 5% multiples of kg to 10kg	Mass: 10% and 25% multiples of kg.x to 10kg
10% and 25% multiples of litres to 10 litres
10% and 25% multiples finding the whole - numbers to 100	10% and 25% multiples finding the whole - numbers to 200	10% and 25% multiples finding the percentage - numbers to 100
10% and 25% multiples finding multiple, percentage or whole to 100	10% and 25% multiples finding multiple, percentage or whole to 200
Increase numbers to 100 by 10% multiples	Decrease numbers to 100 by 10% multiples	10% and 25% multiples increase & decrease, numbers to 100
10% and 25% multiples increase & decrease, numbers to 200	5% multiples increase & decrease, numbers to 200
Increase by 1% multiples, numbers to 200	Decrease by 1% multiples, numbers to 200	10% and 25% multiples increase £ to £100

Averages

Median and mean of 4 numbers to 20 integers	Median and mean of 5 numbers to 20 integers
Median and mean of 4 numbers to 15 decimals	Median and mean of 5 numbers to 15 decimals	Median and mean of 6 numbers to 12 decimals
Mean of 4 numbers find the missing number (integers)	Mean of 5 numbers find the missing number (integers)	Mean of 4 numbers find the missing number (integers & halves)
Mean of 4 numbers find the missing number (decimals)	Mean of 5 numbers find the missing number (decimals)

Equations

Addition: totals to 10	Addition: totals to 20	Addition: totals to 30
Addition: totals to 40	Addition: totals to 60	Addition: totals to 100
Addition: totals to 150	Addition: totals to 200	Addition: totals to 300
Addition: decimals to 20	Addition: decimals to 30	Addition: decimals to 40
Addition: decimals to 50	Addition: decimals U.th to 3	Addition: decimals U.th to 5
Addition & Subtraction, integers to 50	Addition & Subtraction, integers to 100	Addition & Subtraction, integers to 200
Addition & Subtraction, decimals to 10	Addition & Subtraction, decimals to 20	Addition & Subtraction, decimals to 30
Multiplication & Addition, totals to 25	Multiplication & Addition, totals to 36	Multiplication & Addition, totals to 60
Multiplication & Addition, totals to 100	Multiplication & Addition, totals to 144	Multiplication & Addition, totals to 200
Multiplication & Addition, decimals to 30	Multiplication & Addition, decimals to 60	Multiplication & Addition, decimals to 100
Multiplication & Subtraction numbers to 60	Multiplication & Subtraction numbers to 80	Multiplication & Subtraction numbers to 100
Division & Subtraction numbers to 60	Division & Subtraction numbers to 100	Division & Subtraction numbers to 144
2 stage calculations Addition to 30	2 stage calculations Addition to 40	2 stage calculations Addition to 50
2 stage calculations Addition, decimals to 10	2 stage calculations Addition, decimals to 20	2 stage calculations Addition, decimals to 3
2 stage calculations Addition & subtraction to 30	2 stage calculations Addition & subtraction to 40	2 stage calculations Addition & subtraction to 50
2 stage calculations Addition & subtraction, decimals to 10	2 stage calculations Addition & subtraction, decimals to 20	2 stage calculations Addition & subtraction, decimals to 3
2 stage calculations Multiplication & addition to 30	2 stage calculations Multiplication & addition to 40	2 stage calculations Multiplication & addition to 50
2 stage calculations Multiplication & addition, decimals to 10	2 stage calculations Multiplication & addition, decimals to 20	2 stage calculations Multiplication & addition, decimals to 30

Geometric Shapes

Perimeters of Rectangles Integers to 12	Perimeters of Rectangles Integers to 20	Perimeters of Rectangles Decimals to 10
Perimeters of Regular Polygons Integers to 20	Perimeters of Regular Polygons Integers and 0.5s	Perimeters of Regular Polygons Decimals
Area of Rectangles, Integers to 10	Area of Rectangles, Integers to 12	Area of Rectangles, Integers to 20
Area of Rectangles, 0.5s to 10	Area of Rectangles, decimals to 10
Area of Triangles, Areas to 60	Area of Triangles, Areas to 100	Area of Triangles, Areas to 200
Perimeter & Area of Rectangles Integers to 10	Perimeter & Area of Rectangles Integers to 20	Perimeter & Area of Rectangles Decimals to 10