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Take this intermediate math test online with 15 medium-difficulty questions on geometry and shapes.
1. What is the Pythagorean theorem used to find?
💡 The Pythagorean theorem relates the lengths of the sides of a right triangle.
2. What is the area of a circle with radius 7 (use π≈3.14)?
💡 Area equals πr²: 3.14 x 7² = 3.14 x 49 = 153.86.
3. What is the sum of interior angles in a quadrilateral?
💡 The interior angles of any quadrilateral sum to 360 degrees.
4. What is the perimeter of a rectangle with length 10 and width 4?
💡 Perimeter equals 2 x (length + width): 2 x (10+4) = 28.
5. How many faces does a cube have?
💡 A cube has 6 faces, all of which are equal squares.
6. How many degrees do the angles in a triangle add up to?
💡 The interior angles of any triangle always sum to 180 degrees.
7. What is the perimeter of a square with side 6?
💡 Perimeter equals 4 times the side length: 4 x 6 = 24.
8. What is the volume of a cube with side 4?
💡 Volume equals side cubed: 4³ = 64.
9. What is the area of a rectangle with length 8 and width 5?
💡 Area equals length times width: 8 x 5 = 40.
10. What type of triangle has all sides equal?
💡 An equilateral triangle has all three sides and all three angles equal.
11. How many degrees is a right angle?
💡 A right angle measures exactly 90 degrees.
12. In a right triangle with legs 3 and 4, what is the hypotenuse?
💡 Using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, and the square root of 25 is 5.
13. What is the formula for the area of a triangle?
💡 The area of a triangle is one-half the base times the height.
14. What is the circumference of a circle with radius 5 (use π≈3.14)?
💡 Circumference equals 2πr: 2 x 3.14 x 5 = 31.4.
15. What is the area of a triangle with base 10 and height 6?
💡 Area equals 1/2 x base x height: 0.5 x 10 x 6 = 30.