An "explain how you know" answer must show the maths: a calculation or comparison that proves the claim. Hopper the frog explains why 3/5 is greater than 0.55 (3/5 = 0.6), shows why "because it is bigger" scores no mark, then chooses the answer that earns the mark in a SATs-style question.
Angles on a straight line add up to 180°, and angles around a point add up to 360°. Leo the lion finds the missing angle next to 125° on a straight line (55°), learns that vertically opposite angles are equal, then you find the missing angle around a point yourself. A regular KS2 SATs reasoning question.
A triangle is half of a rectangle, so its area is ½ × base × height: a triangle 8 cm across and 5 cm high has an area of 20 cm². A parallelogram is base × height. Ellie the elephant shows why, using the perpendicular height, then you find the area of a triangle with a 10 cm base and 7 cm height yourself.
A pie chart shows how a total is shared out. Fizz the fox reads a pie chart of 24 children’s favourite sports: the swimming slice is a quarter of the circle (90°), so a quarter of 24 children chose it, which is 6. Then find how many animals a 120° slice stands for yourself. A frequent KS2 SATs statistics question.
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