Mental arithmetic number grids

The number grids below are intended to develop mental arithmetic skills in Years 4 to 6. They aim to promote logical strategies and deductive reasoning through solving equations in grid form.

For each grid, a formula is given. The formula must work correctly for each row, column, and the top-left to bottom-right diagonal. Totals and some other numbers are provided. The challenge is to complete the blanks. You'll be pleased to know each question grid is followed by an answer grid!

The function grids are straightforward. There are two or three columns and five rows. Each row must be completed according to the function heading the right-hand column.

For all grids, a new pattern of numbers is generated each time you click Refresh/Reload.

Mike Kite, 2003-9 with 2024 revisions

 

Addition of integers to 10 (type a + b + c + d = e)
Addition of integers to 12
Addition of integers to 15
Addition of integers to 20
Addition of integers to 30
Addition of integers to 40
Addition of integers to 50

 

Addition of decimals to 2
Addition of decimals to 3
Addition of decimals to 4
Addition of decimals to 5
Addition of decimals to 10
Addition, minus 10 to 10
Addition, minus 15 to 15
Addition, minus 20 to 20
Addition, decimals minus 2 to 2
Addition, decimals minus 3 to 3
Addition & subtraction of integers to 10  (type a + b + c - d = e)
Addition & subtraction of integers to 12
Addition & subtraction of integers to 15
Addition & subtraction of integers to 20
Addition & subtraction of decimals to 1.5
Addition & subtraction of decimals to 2
Addition & subtraction of decimals to 3
Addition & subtraction of decimals to 4
Addition & subtraction of decimals to 5
Addition & subtraction of decimals to 10
Multiplication & addition of integers to 10 by 2 to 6  (type a x b + c + d = e)
Multiplication & addition of integers to 12 by 2 to 6 
Multiplication & addition of integers to 15 by 2 to 6 
Multiplication & addition of integers to 20 by 2 to 6 
Multiplication & addition of decimals to 2 by 2 to 6
Multiplication & addition of decimals to 3 by 2 to 6
Multiplication & addition of decimals to 4 by 2 to 6
Multiplication & addition of decimals to 5 by 2 to 6
Multiplication & addition of integers to 10  (type a x b + c + d = e)
Multiplication & addition of integers to 12
Multiplication & addition of integers to 15
Multiplication & addition of integers to 20
Multiplication & addition of decimals to 2
Multiplication & addition of decimals to 3
Multiplication & addition of decimals to 4
Multiplication & addition of decimals to 5
Multiplication, addition & subtraction of integers to 6  (type a x b + c - d = e)
Multiplication, addition & subtraction of integers to 10
Multiplication, addition & subtraction of integers to 12
Multiplication, addition & subtraction of integers to 15
Multiplication, addition & subtraction of integers to 20
Multiplication, addition & subtraction of decimals to 2
Multiplication, addition & subtraction of decimals to 3
Multiplication, addition & subtraction of decimals to 5
Division and addition, integers to 10, divisors to 5 (type a ÷ b + c + d = e)
Division and addition, integers to 10, divisors to 10
Division and addition, integers to 15, divisors to 10
Division, multiplication & addition, divisors to 5 (type a ÷ b x c + d = e)
Division, multiplication & addition, divisors to 6 
Division, multiplication & subtraction, divisors to 5 (type a ÷ b x c - d = e)
Division, multiplication & subtraction, divisors to 6 
Functions: one variable, integers to 12, multiples to 5 (type 3a + 5)
Functions: one variable, integers to 12, multiples to 10
Functions: one variable, integers to 15, multiples to 10
Functions: one variable, integers to 20, multiples to 10
Functions: one variable, decimals to 2, multiples to 10
Functions: one variable, decimals to 3, multiples to 10
Functions: one variable, decimals to 5, multiples to 10
Functions: two variables, integers to 10, multiples to 5 (type 4a + 2b)
Functions: two variables, integers to 10, multiples to 10
Functions: two variables, integers to 15, multiples to 10
Functions: two variables, integers to 20, multiples to 10
Functions: two variables, decimals to 2, multiples to 5
Functions: two variables, decimals to 3, multiples to 10
Algebraic expressions, integers to 10  (type 2a + 3b + c = d)
Algebraic expressions, integers to 12 
Algebraic expressions, integers to 15
Algebraic expressions, decimals to 2
Algebraic expressions, decimals to 3
Algebraic expressions, decimals to 5
Algebraic expressions, addition & subtraction, integers to 6
Algebraic expressions, addition & subtraction, integers to 10
Algebraic expressions, addition & subtraction, integers to 12
Algebraic expressions, addition & subtraction, integers to 15
Algebraic expressions, addition & subtraction, integers to 20
Algebraic expressions, addition & subtraction, decimals to 2
Algebraic expressions, addition & subtraction, decimals to 3
Algebraic expressions, addition & subtraction, decimals to 5