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NRICH topics: Calculations and numerical methods Mental calculations

Resources tagged with: Mental calculations

Content type:
Age range:
Challenge level:

There are 52 NRICH Mathematical resources connected to Mental calculations, you may find related items under Calculations and numerical methods.

Broad Topics > Calculations and numerical methods > Mental calculations

Problem Primary curriculum Secondary curriculum

5 by 5 Mathdokus

Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

Age 7 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Subtraction Slip

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

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Compare the Calculations

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

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Picture Your Method

Can you match these calculation methods to their visual representations?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Fruity Pairs

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

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Arranging Additions and Sorting Subtractions

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

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Can You Make 100?

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Overlaps

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

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Missing Multipliers

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

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

How Do You Do It?

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

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Mixing Lemonade

Can you work out which drink has the stronger flavour?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Going Round in Circles

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

Age 11 to 14
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Dicey Operations

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

Age 11 to 14
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Countdown

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

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Power Countdown

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

Age 14 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Thousands and Millions

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

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Difference Sudoku

Use the differences to find the solution to this Sudoku.

Age 14 to 16
Challenge Level Yellow starYellow starYellow star
General Primary curriculum Secondary curriculum

Integrated Sums Sudoku

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 the intersections between two diagonally adjacent squares.

Age 11 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Intersection Sums Sudoku

A Sudoku with clues given as sums of entries.

Age 7 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Consecutive Seven

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?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Mind Reading

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 know?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Multiplication Tables - Matching Cards

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

Age 5 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Shapes on the Playground

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?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Where Can We Visit?

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Days and Dates

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

Age 11 to 14
Challenge Level Yellow star
Article Primary curriculum Secondary curriculum

Let's Get Flexible!

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.

Age 5 to 11
List Primary curriculum Secondary curriculum

Being Curious - Primary Number

Number problems for inquiring primary learners.

Age 5 to 11
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Dicey Operations in Line for Two

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

Age 7 to 11
Challenge Level Yellow star
List Primary curriculum Secondary curriculum

More Playing with Number Upper Primary

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

Age 7 to 11
List Primary curriculum Secondary curriculum

Current Playing with Number Upper Primary Teacher

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

Age 7 to 11
Challenge Level Yellow star
List Primary curriculum Secondary curriculum

More Playing with Number Lower Primary

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

Age 5 to 7
List Primary curriculum Secondary curriculum

More Playing with Numbers Upper Primary

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

Age 7 to 11
Problem Primary curriculum Secondary curriculum

Bochap Sudoku

This Sudoku combines all four arithmetic operations.

Age 11 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Mathdoku

Complete the Mathdoku grid using the clues. Can you convince us that the number you have chosen for each square has to be correct?

Age 7 to 11
Challenge Level Yellow star
Article Primary curriculum Secondary curriculum

Clever Carl

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.

Age 7 to 14
Problem Primary curriculum Secondary curriculum

Chocoholics

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?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Transformations Tables

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

Age 7 to 11
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Calculator Bingo

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

Age 7 to 11
Challenge Level Yellow starYellow star
Game Primary curriculum Secondary curriculum

Wild Jack

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.

Age 7 to 11
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Criss Cross Quiz

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

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Flip Flop - Matching Cards

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

Age 5 to 11
Challenge Level Yellow starYellow star
Game Primary curriculum Secondary curriculum

Subtraction Squares

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?

Age 5 to 11
Challenge Level Yellow starYellow star
Game Primary curriculum Secondary curriculum

Pass the Peas, Please

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

Age 5 to 7
Challenge Level Yellow starYellow starYellow star
Game Primary curriculum Secondary curriculum

Down to Nothing

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.

Age 7 to 11
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Fifteen

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

Age 7 to 14
Challenge Level Yellow starYellow star
Game Primary curriculum Secondary curriculum

Domino Magic Rectangle

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...

Age 7 to 16
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Is it Magic or Is it Maths?

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 them. Can you explain how they work?

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

What Is Ziffle?

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

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Prime Magic

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?

Age 7 to 16
Challenge Level Yellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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