DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 217)
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Problem 1 :
In the xy-plane above, the parabola y = –kx2 + 1 intersects the x- and y-axes at the points A, B and C. If ΔABC is an equilateral triangle, what is the value of k?
Solution :
Problem 2 :
In the xy-plane above, line ℓ is tangent to the graph of circle O and the value of sin∠ORP is 0.6. If the area of ΔOPR is 54, what is the radius of the circle?
Solution :
Problem 3 :
In the xy-plane above, points O, P and Q lie on the graph of y = 2x2. If the area of triangle OPQ is 54, what is the length of PQ?
Solution :
Problem 4 :
The figure above shows three isosceles right triangles with sides of length 4, a and 25 respectively. If points A, B and C lie on ℓ, what is the value of a?
Solution :
Problem 5 :
If a + 2b = 1/2 and a – 2b =1/3, what is the value of 6a2 – 24b2?
A) 1/3
B) 1/2
C) 1
D) 2
Solution :
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