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### Greater Than or Less Than?

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

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### Abundant Numbers

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

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### Multiplication Squares

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

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### Brush Loads

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

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### Area and perimeter

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

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### Round the Dice Decimals 2

What happens when you round these numbers to the nearest whole number?

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### Six Numbered Cubes

This task combines spatial awareness with addition and multiplication.

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### Making Boxes

Cut differently-sized square corners from a square piece of paper
to make boxes without lids. Do they all have the same volume?

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### Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

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### Egyptian Rope

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

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### Forgot the Numbers

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

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### Numerically Equal

Can you draw a square in which the perimeter is numerically equal to the area?

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### Twenty Divided into Six

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

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### One Wasn't Square

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

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### Reach 100

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

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### Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

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### More Transformations on a Pegboard

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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### Route Product

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

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### Through the Window

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

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### Curious number

Can you order the digits from 1-3 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?

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### Ribbon Squares

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?