Can you draw a square in which the perimeter is numerically equal to the area? Scroll down to see our complete collection of KS2 problems that require children to work systematically, or explore the two sub-collections focusing on important aspects of systematic working. Register for our mailing list. In particular, it explains what we mean by ‘problem-solving skills’ and aims to give further guidance on how we can help learners to develop these skills by highlighting relevant NRICH tasks. Register for our mailing list. Can you make square numbers by adding two prime numbers together?

Is it the same number for a 12 hour clock over a whole day? Number live Age 7 to 11 Challenge Level: Buying a Balloon Age 7 to 11 Challenge Level: What do you notice? Pick any ten numbers from the bags above so that their total is

What are the dimensions of the rectangle? Ribbon Squares Age solvimg to 11 Challenge Level: Every card he revealed had the same value as the one he had just finished spelling. Working Backwards at KS2. Investigate the sum of the numbers on the top and bottom faces of a line of three dice.

## Addition and Subtraction KS2

The great planetary explorer Nico counted 52 legs. Can you find all the ways to get 15 at the top of this triangle of numbers? What happens when you add the digits of a number then multiply the result by 2 and you keep doing this?

What numbers could be inside the envelopes? How many different trains can you make?

The idea is to go round the track in as few moves as possible, keeping to the rules. In this activity, the computer chooses a times table and shifts it.

Katie had a pack of 20 cards numbered from 1 to These upper primary tasks all specifically draw on the use of visualising. Can you find some more abundant numbers? Cubes Age 7 to 11 Challenge Level: How Do You Do It? My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used.

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What was the total and how could this be done? The value of the circle changes in each of the following problems. Which is quicker, counting up to 30 in ones or counting up to in tens?

# Area and Perimeter KS2 :

Lolla bought a balloon at the circus. In the aforementioned article, Jennie outlines four stages of the problem-solving process: Magic Vs Age 7 to 11 Challenge Level: Try out some calculations. How about the largest possible numbers?

Use 4 four times with simple operations so that you get the answer Can you work out the arrangement of the digits in the square so that the given products are correct?

Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second.

Mystery Matrix Age 7 to 11 Challenge Level: Register for our mailing list. How many different shaped boxes can you design for 36 sweets in one layer? Choose four different nriich from and put one in each box so that the resulting four two-digit numbers add to a total of Can you get four in a row? Can you find some more abundant numbers? How many cubes of each colour have we used?