### NRICH PROBLEM SOLVING PLACE VALUE

Number Match Age 5 to 11 Challenge Level: Oddly Age 7 to 11 Challenge Level: For older students, we offer problems that focus on powers and indices. Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf. Can you substitute numbers for the letters in these sums? Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of

There are six numbers written in five different scripts. Are you surprised by the results? Try out some calculations. What is the smallest number you can find that lights up all the lights? How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order? Although dealing with whole numbers initially, the ‘part-part-whole’ thinking about numbers supports the understanding of fractions, in particular tenths.

Age 11 to 14 Challenge Level: Investigate the different ways these aliens count in this challenge. A task which depends on members of the group noticing the needs of others and responding. Indeed, there is no reason why children should not explore larger numbers while working in depth on ‘ten-ness’. Can you sort out which is which?

## Place Value KS2

Age 7 to 14 Challenge Level: Think of a two digit number, reverse the digits, and add the numbers together. Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a nrichh, a twig and a leaf.

Digit Addition Age 5 to 11 Challenge Level: In the English language we do have something of a problem with our teen numbers which can cause difficulties for our learners in that the number name reverses the order of the digits when written: Four nrihc these clues are needed to find the chosen number on this grid and four are plaec but do nothing to help in finding the number.

See below for problwm image of 13 shown as one full ten frame and an additional frame to its right with 3 counters on it. A school song book contains songs. Number problems at primary level that require careful consideration. Investigate which numbers make these lights come on.

This multiplication uses each of the digits 0 – 9 once and once only.

# Place Value and Powers :

Can you put the numbers in the V shape so that both ‘arms’ have the same total? Magic Vs Age 7 to 11 Challenge Level: A random digit is generated. Introduction Once children have developed a basic sense of the numbers up to ten see Early Number Sensethey need to develop a strong ‘sense of ten’ as a foundation for both place value and mental calculations. What is the minimum number of small cards that is needed? Can you replace the letters with numbers?

What is the sum of the numbers that are diagonally opposite each other? Which is quicker, counting up to 30 in ones or counting up to in tens? Register for our mailing list. Placing the second frame to the left of the first frame, and later introducing digit cards, will further assist the development of place value understanding.

Sweets are given out to party-goers in a particular way. Can you build it up?

# Place Value KS1 :

Some of the numbers have fallen off Becky’s number line. This square jigsaw is written in code. Can you work out some different ways to balance this equation?

Becky created a number plumber which multiplies by 5 and subtracts 4. Once this type of thinking is established, the ten-frame is no longer needed. What was the last number she wrote? To support this aim, members of the NRICH team work plsce a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

In this square, look at the green square which contains the numbers 2, 3, 12 and Can you work out how to use Napier’s bones to find the answer to these multiplications?