Resources tagged with: Mental calculation strategies

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There are 46 NRICH Mathematical resources connected to Mental calculation strategies, you may find related items under Calculations and Numerical Methods.

Broad Topics > Calculations and Numerical Methods > Mental calculation strategies

Subtraction Slip

Age 5 to 7
Challenge Level

Can you spot the mistake in this video? How would you work out the answer to this calculation?

Compare the Calculations

Age 7 to 11
Challenge Level

Can you put these four calculations into order of difficulty? How did you decide?

Picture Your Method

Age 7 to 11
Challenge Level

Can you match these calculation methods to their visual representations?

Fruity Pairs

Age 5 to 7
Challenge Level

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Arranging Additions and Sorting Subtractions

Age 5 to 7
Challenge Level

Order these four calculations from easiest to hardest. How did you decide?

Can You Make 100?

Age 11 to 14
Challenge Level

How many ways can you find to put in operation signs (+ - x ÷) to make 100?

How Do You Do It?

Age 7 to 11
Challenge Level

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

Mixing Lemonade

Age 11 to 14
Challenge Level

Can you work out which drink has the stronger flavour?

Going Round in Circles

Age 11 to 14
Challenge Level

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

Dicey Operations

Age 11 to 14
Challenge Level

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Countdown

Age 7 to 14
Challenge Level

Here is a chance to play a version of the classic Countdown Game.

Thousands and Millions

Age 11 to 14
Challenge Level

Here's a chance to work with large numbers...

Difference Sudoku

Age 14 to 16
Challenge Level

Use the differences to find the solution to this Sudoku.

Integrated Sums Sudoku

Age 11 to 16
Challenge Level

The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on. . . .

Intersection Sums Sudoku

Age 7 to 16
Challenge Level

A Sudoku with clues given as sums of entries.

Consecutive Seven

Age 11 to 14
Challenge Level

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Mind Reading

Age 11 to 14
Challenge Level

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I. . . .

Multiplication Tables - Matching Cards

Age 5 to 11
Challenge Level

Practise your tables skills and try to beat your previous best score in this interactive game.

Shapes on the Playground

Age 7 to 11
Challenge Level

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Days and Dates

Age 11 to 14
Challenge Level

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Let's Get Flexible!

Age 5 to 11

In this article for primary teachers, Ems outlines how we can encourage learners to be flexible in their approach to calculation, and why this is crucial.

Being Curious - Primary Number

Age 5 to 11
Challenge Level

Number problems for inquiring primary learners.

Overlaps

Age 11 to 14
Challenge Level

Can you find ways to put numbers in the overlaps so the rings have equal totals?

Dicey Operations in Line for Two

Age 7 to 11
Challenge Level

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

More Playing with Number Upper Primary

Age 7 to 11

Related resources supporting pupils' understanding of multiplication and division through playing with numbers.

Current Playing with Number Upper Primary Teacher

Age 7 to 11
Challenge Level

Resources to support understanding of multiplication and division through playing with number.

More Playing with Number Lower Primary

Age 5 to 7

Some additional activities to develop children's understanding of addition and subtraction of number through playing with number.

More Playing with Numbers Upper Primary

Age 7 to 11

More resources to support understanding multiplication and division through playing with numbers

Missing Multipliers

Age 7 to 14
Challenge Level

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Power Countdown

Age 14 to 16
Challenge Level

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

Bochap Sudoku

Age 11 to 16
Challenge Level

This Sudoku combines all four arithmetic operations.

Clever Carl

Age 7 to 14

What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.

Chocoholics

Age 7 to 11
Challenge Level

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?

Transformations Tables

Age 7 to 11
Challenge Level

These grids are filled according to some rules - can you complete them?

Calculator Bingo

Age 7 to 11
Challenge Level

This is a game for two players. What must you subtract to remove the rolled digit from your number? The first to zero wins!

Wild Jack

Age 7 to 11
Challenge Level

A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.

Criss Cross Quiz

Age 7 to 11
Challenge Level

A game for 2 players. Practises subtraction or other maths operations knowledge.

Flip Flop - Matching Cards

Age 5 to 11
Challenge Level

Practise your number bonds whilst improving your memory in this matching pairs game.

Subtraction Squares

Age 5 to 11
Challenge Level

A game for 2 players. Using 2 dice, some counters and a games board, can you form a line of counters from one side of the board to the other?

Pass the Peas, Please

Age 5 to 7
Challenge Level

A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!

Down to Nothing

Age 7 to 11
Challenge Level

A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

Fifteen

Age 7 to 14
Challenge Level

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

Domino Magic Rectangle

Age 7 to 16
Challenge Level

An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...

Is it Magic or Is it Maths?

Age 11 to 14
Challenge Level

Here are three 'tricks' to amaze your friends. But the really clever trick is explaining to them why these 'tricks' are maths not magic. Like all good magicians, you should practice by trying. . . .

What Is Ziffle?

Age 7 to 11
Challenge Level

Can you work out what a ziffle is on the planet Zargon?

Prime Magic

Age 7 to 16
Challenge Level

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?