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Mathematics Geometry and Trigonometry Flashcards

8 cards from real NBT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 8 Mathematics Geometry and Trigonometry flashcards as text

  1. The angles in a triangle are 50 degrees and 60 degrees. What is the third angle?

    Answer: 70 degrees

    Angles in a triangle add to 180 degrees. 180 - 50 - 60 = 70 degrees.

  2. A right-angled triangle has legs of 3cm and 4cm. What is the length of the hypotenuse?

    Answer: 5cm

    By Pythagoras, hypotenuse = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5cm.

  3. What is the area of a rectangle that is 8m long and 5m wide?

    Answer: 40 m^2

    Area of a rectangle = length x width = 8 x 5 = 40 m^2.

  4. In a right-angled triangle, sin(theta) is defined as:

    Answer: opposite / hypotenuse

    By definition, sin(theta) = opposite side / hypotenuse (the 'SOH' in SOH-CAH-TOA).

  5. What is the value of cos(60 degrees)?

    Answer: 0.5

    cos(60 degrees) = 0.5, a standard value worth memorising for the NBT Maths paper.

  6. Two angles are complementary and one is 35 degrees. What is the other angle?

    Answer: 55 degrees

    Complementary angles add to 90 degrees. 90 - 35 = 55 degrees.

  7. The circumference of a circle is given by which formula (r = radius)?

    Answer: 2 pi r

    Circumference = 2 pi r (or pi d). The area, by contrast, is pi r^2.

  8. A ladder leans against a wall making a 90-degree angle between the wall and the ground. The angle between the ladder and the ground is 65 degrees. What is the angle between the ladder and the wall?

    Answer: 25 degrees

    The three angles of the right triangle sum to 180 degrees: 180 - 90 - 65 = 25 degrees between the ladder and the wall.