The cards Question When are two shapes similar? Tap to flip Answer When the only difference between them is their size; their side lengths are in the same proportions. Question What is an enlargement? Tap to flip Answer A transformation that causes a change of size. Question What is a scale factor? Tap to flip Answer The multiplier between similar shapes that describes how large one shape is compared to the other. Question Do the angles inside an object change when it is enlarged? Tap to flip Answer No, the angles stay the same. Question When an object is enlarged, how is the image related to the object? Tap to flip Answer The image is similar to the object. Question What is the hypotenuse of a right-angled triangle? Tap to flip Answer The side opposite the right angle. Question What does Pythagoras' theorem state? Tap to flip Answer In a right-angled triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse. Question In a right-angled triangle, where is the longest side? Tap to flip Answer Opposite the right angle. Question What is the radius of the unit circle? Tap to flip Answer One. Question Where is the unit circle centred? Tap to flip Answer On the origin. Question On the unit circle, which coordinate gives the sine of an angle? Tap to flip Answer The y-coordinate of the point where the radius has been rotated through that angle. Question On the unit circle, which coordinate gives the cosine of an angle? Tap to flip Answer The x-coordinate of the point where the radius has been rotated through that angle. Question On the unit circle, where is the tangent of an angle measured? Tap to flip Answer As the length of the side opposite the angle along the tangent to the circle at x = 1. Question How are trigonometric functions commonly defined? Tap to flip Answer As ratios of two sides of a right-angled triangle for a given angle. Question What are the trigonometric ratios? Tap to flip Answer Ratios between each pair of lengths in a right-angled triangle. Question Which side of a right-angled triangle is the opposite? Tap to flip Answer The side opposite the marked angle. Question Which side of a right-angled triangle is the adjacent? Tap to flip Answer The side next to both the right angle and the marked angle. Question In a right-angled triangle with hypotenuse 1, what is the length of the side opposite angle θ? Tap to flip Answer sin(θ) Question In a right-angled triangle with hypotenuse 1, what is the length of the side adjacent to angle θ? Tap to flip Answer cos(θ) Question In a right-angled triangle whose adjacent side is 1, what is the length of the side opposite angle θ? Tap to flip Answer tan(θ) Question Is sin(60°) double sin(30°)? Tap to flip Answer No. Sine values do not scale linearly: 30° meets the unit circle at a height of 0.5, 60° at about 0.87. Question Is tan(60°) double tan(30°)? Tap to flip Answer No. Tan values do not scale linearly: about 0.58 for 30° and about 1.73 for 60°. Question Which three things does the sine ratio involve? Tap to flip Answer The hypotenuse, the opposite side and the angle. Question Which three things does the cosine ratio involve? Tap to flip Answer The hypotenuse, the adjacent side and the angle. Question Which three things does the tangent ratio involve? Tap to flip Answer The opposite side, the adjacent side and the angle. Question Which function lets you find an angle from the sine ratio? Tap to flip Answer The arcsine function. Question Which function lets you find an angle from the cosine ratio? Tap to flip Answer The arccosine function. Question If you know the hypotenuse and the opposite side, which trigonometric ratio can you use? Tap to flip Answer The sine ratio. Question If you know the hypotenuse and the adjacent side, which trigonometric ratio can you use? Tap to flip Answer The cosine ratio. Question If you know the opposite and adjacent sides, which trigonometric ratio can you use? Tap to flip Answer The tangent ratio. Question Is the horizontal edge of a right-angled triangle always the adjacent? Tap to flip Answer No. The sides are labelled from the focus angle. Question A trigonometric ratio involves how many lengths and angles? Tap to flip Answer Two lengths and an angle. Question Give one practical use of trigonometry. Tap to flip Answer e.g. finding the height of an object, or finding an object's length from the length of its shadow. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage Key stage 3 (Years 7–9) Course KS3 Maths Unit Trigonometry England's National Curriculum sets what is taught; the units and their order are Oak National Academy's. Flash Feed is not affiliated with Oak or any exam board.
How this deck was checked On 2026-11-03, every card was compared with its source: the lessons of Oak National Academy, a public body funded by England's Department for Education that publishes lessons for the national curriculum. Because the cards come from those lessons, no second source was sought. The comparison was done automatically, not by a teacher, so a card can still be wrong. Flash Feed is not affiliated with any source named here.
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A Maths lesson by Oak National Academy licensed under Open Government Licence (OGL)
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