Explaining, convincing and proving
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problemFavouriteTo find the integral of a polynomial, evaluate it at some special points and add multiples of these values. -
problemFavouriteDiscrete Trends
Find the maximum value of n to the power 1/n and prove that it is a maximum. -
problemFavouriteSquare Mean
Is the mean of the squares of two numbers greater than, or less than, the square of their means? -
problemFavouriteAlways, Sometimes or Never? KS1
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
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problemFavouriteLet's Investigate Triangles
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
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problemFavouriteA City of Towers
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
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problemFavouriteBuilding With Solid Shapes
We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?
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problemFavouriteCuisenaire Counting
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
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problemFavouriteDomino Sorting
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
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problemFavouriteSizing Them Up
Can you put these shapes in order of size? Start with the smallest.