1.There is a square with side 10m. On top of the square there is one semicircle with its diameter on one side of the square (diameter length = side length). One point on the semicircle is chosen and a perpendicular is drawn on to the square which divides the side of the square in 8:2. Find the length of the perpendicular?
2. What is the least common factor of 123 x 255
A. 3
B. 7
C. 17
& so on….
3. If |x| 6; |y| 4, then find the greatest possible value of |x/y|?
4. The probability of raining tomorrow is 0.49.
Col A: The probability that it will rain tomorrow and George eats the food
Col B: 0.54
5. Given equation of the circle as x2 +y2 = 49. If two points (0, b) and (4, a) lie on the circle, then what is the slope of the line?
6. Given N= v * w * x * y * z - (v+w+x+y+z). If ‘N’ is an even integer, then how many of v, w, x, y, z will need to be even numbers?
7.If twice the average of x, y and z, when divided by 7 gives remainder 1, then what is the remainder, when average x, y and z is divided by 7?
8. Given figures of a regular pentagon and an equilateral triangle. If perimeter of pentagon is equal to twice the perimeter of equilateral triangle, then
Col A: Side length of the pentagon
Col B: Side length of equilateral triangle
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