Pythagoras, the sine and cosine rules, arcs and sectors, similar solids and volume — every length and angle given in the question, no diagram needed. Test…
10 questions • Zestly
• A right-angled triangle has its two shorter sides measuring 9 cm and 12 cm. What is the length of the hypotenuse?
• A triangle has two sides of 7 cm and 10 cm with an angle of 30 degrees between them. What is its area?
• In a triangle, angle A is 40 degrees, angle B is 60 degrees, and side a (opposite angle A) is 8 cm. What is the length of side b, to one…
• A triangle has two sides of 7 cm and 9 cm with an angle of 60 degrees between them. What is the length of the third side, to one decimal…
• A triangle has sides of 5 cm, 6 cm and 7 cm. What is the size of the angle opposite the 7 cm side, to one decimal place?
• A sector is cut from a circle of radius 9 cm by an angle of 80 degrees at the centre. What is the length of its arc, to one decimal place?
• A sector is cut from a circle of radius 6 cm by an angle of 120 degrees at the centre. What is its area, to one decimal place?
• Two cones are mathematically similar. The smaller has height 4 cm and volume 32 cm cubed; the larger has height 6 cm. What is the volume of…
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