Sweets are given out to party-goers in a particular way. Age 7 to 11 Challenge Level: 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. On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? This article suggests some ways of making sense of calculations involving positive and negative numbers. Age 7 to 14 Challenge Level: Dicey Addition Age 5 to 11 Challenge Level:

Highest and Lowest Age 7 to 11 Challenge Level: Complete these two jigsaws then put one on top of the other. Half Time Age 5 to 11 Challenge Level: Farey Sequences Age 11 to 14 Challenge Level: It starts with 1 and ends with How about the largest possible numbers? What happens when you enter different numbers?

Place Value and Powers

One to Fifteen Age 7 to 11 Challenge Level: How about if I had five buttons? Who said that adding couldn’t be fun? Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?


Investigate the different ways these aliens count in this challenge. How many different ways can you do it? Register for our mailing list. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? Who said that adding, subtracting, multiplying and dividing couldn’t be fun?

She stopped for a rest after writing seventeen digits.

This dice train has been made using specific rules. How do you compare if you try some similar activities? It is about understanding tens and units.

Place Value and Powers :

Finding Fifteen Age 7 to 11 Challenge Level: Can you provide convincing evidence for your rankings? Why is this maths and not magic?

nrich place value problem solving ks2

Nine-pin Triangles Age 7 to 11 Challenge Level: What is the sum of the numbers that are diagonally opposite each other? There are six numbers written in five different scripts. Age 7 to 11 Challenge Level: Evaluate these powers of What numbers could be inside the envelopes? Use two dice to generate two numbers with one decimal place.

Can you sort out which is which?


Place Value, Integers, Ordering & Rounding :

Nice or Nasty Age 7 to 14 Challenge Level: In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target. Olympic Starters Age 7 to 11 Challenge Level: How Many Miles to Go? The sum of the numbers inside it is written on each envelope. For younger students, cracking the code of our base ten number system is of vital importance to making sk2 of arithmetic, so we’ve chosen to feature some problems designed to get students thinking problej place value.

What do you notice?

Investigate what happens when you add house numbers along a street in different ways. Street Sequences Age 5 to 11 Challenge Level: Dicey Operations for an adult and child. Becky created a number plumber which multiplies by 5 and subtracts 4.

nrich place value problem solving ks2