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The activities linked to these SAT Maths topics are existing Transum resources, not exercises specifically designed for the SAT examination. They use British English and may include questions or difficulty levels beyond and adjacent to those required for the SAT.

• Pythagoras An online exercise to test your understanding of and ability to apply Pythagoras' Theorem.
• Demonstrating Pythagoras Short clip from QI: Stephen Fry demonstrates Pythagoras' theorem.
• Make Them Right Arrange the measurements next to the sides of the triangles so that each diagram is correct according to Pythagoras' Theorem.
• Pythagoras' Theorem Video The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
• Which Side? Arrange the diagrams in groups depending on whether the arrow is pointing to the opposite, adjacent or hypotenuse.
• Trigonometry Video The basic trigonometric ratios are sine, cosine and tangent and are used to find the lengths of sides and the size of angles in right-angled triangles.
• Trigonometry Sine, cosine and tangent ratios are used to find sides and angles in right-angled triangles.
• Trig-Pythag Fusion Problems requiring multi-step solutions using both Trigonometry and Pythagoras' Theorem
• Pythagoras with Surds Questions about right-angled triangles for which the answers should be surds in their simplest form.
• Pythagorean Probe Use Pythagoras' Theorem to help find all of the measurements of these right angles triangles.
• If Then Trigonometry Finding the exact values of sine, cosine and tangent of angles if given a different trig ratio.

Here are some exam-style questions (not SAT questions) on this topic:

• "\(ABC\) is a right-angled triangle." ... more
• "An isosceles triangle shaped frame is made from four pieces of metal. The frame has a height of 8 metres and a base of length 12 metres." ... more
• "Work out the value of \(x\), the length in centimetres of one of the sides of this right-angled triangle." ... more
• "ABC is a right-angled triangle as shown in the diagram below. Calculate the length of AB giving your answer correct to three significant figures." ... more
• "An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29^o. Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1.5 metres above ground level." ... more
• "The diagram shows a right-angled triangle and a semicircle. The straight side of the semicircle is the same length as the longest side of the triangle." ... more
• "The diagram shows a trapezium where the sides AC and BD are parallel." ... more
• "Four copies of a green right-angled triangle are used to enclose a yellow square." ... more
• "The diagram shows a quadrilateral, ABCD, formed from two triangles, ABC and ACD." ... more
• "A triangular prism is made using two right-angled triangles and three rectangular pieces of cardboard. Five of the vertices have been labeled \(A, B, C, D \text{ and } E\) as shown in the photograph below." ... more
• "The diagram shows a rectangular-based pyramid, TABCD (not drawn to scale)." ... more

See all these questions