Problem solving with advanced similarity knowledge
The starter and exit quiz of the lesson “Problem solving with advanced similarity knowledge”, from the unit “Similarity” (Year 10 Maths) by Oak National Academy.
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Oak National Academy
12 questions
___ theorem states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the hypotenuse.
The lengths of the 3 edges of some triangles are given. Select all the right-angled triangles.
A right-angled triangle has a hypotenuse of 25 m. Select the possible lengths of the two shorter sides.
Which of these pairs of triangles are congruent?
Triangle ABC and triangle DEF are congruent and AB > BC. The length of the side x is ___ cm.
Match each letter which the correct statement to complete the proof that triangle DAC and triangle ABC are congruent.
Two shapes are ___ if the only difference between them is their size. Their side lengths are in the same proportions.
The multiplier between the surface areas of a pair of similar objects is k^2. Select the correct statements.
Shapes X and Y are similar to each other. The volume of shape Y is 216 times larger than the volume of shape X. The linear scale factor from X to Y is ___.
Shapes X and Y are similar. The perimeter of shape Y is 125% of the perimeter of shape X. Work out the area scale factor from X to Y.
Pyramid A and pyramid B are similar. The surface area of pyramid A is 50 cm² and its volume is 120 cm³. The surface area of pyramid B is 450 cm². Calculate the volume of pyramid B.
Cuboid A and cuboid B are similar. The volume of cuboid B is 7680 cm³. The surface area of B is ___ cm².
