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Revision Exam-style Questions For Studies Test

1 . (a)Express f (x) = x2 – 6x + 13 in the kind f (x) = (x – h)2 + t, where h and t are to be decided. (b)Hence, or otherwise, write down the coordinates in the vertex from the parabola with equation con – x2 – 6x + 14. (Total 5 marks)

2 . The plan shows the graph in the function sumado a = ax2 + bx + c.

Complete the table below to show if each manifestation is confident, negative or perhaps zero. Expression|positive|negative|zero

a|||

c|||

b2 – 4ac|||

b|||

(Total some marks)

several. The plan shows the parabola con = (7 – x)(l + x). The points A and C would be the x-intercepts as well as the point M is the optimum point.

Discover the heads of A, B and C.

(Total 5 marks)

some. Find the sum with the arithmetic series

17 + 27 + 37 &... + 417.

(Total 5 marks)

five. Consider the arithmetic sequence 2, 5, 8, eleven,.....

(a)Find u101.

(3)

(b)Find the value of n so that este = 152.

(3)

(Total 6 marks)

6. Gwendolyn added the multiples of 3, from 3 to 3750 and found that 3 & 6 + 9 & … & 3750 = s.

Compute s.

(Total 6 marks)

7. Locate the pourcentage of a5b7 in the expansion of (a + b)12. (Total 4 marks)

almost 8. Find the definition of containing x10 in the expansion of (5 + 2x2)7. (Total 6th marks)

being unfaithful. The second term of an arithmetic sequence is 7. The sum with the first several terms of the math sequence can be 12. Find the 1st term, a, and the common difference, d, of the series. (Total four marks)

15. Consider the arithmetic series 2 + 5 + 8 +....

(a)Find a manifestation for Sn, the total of the first n conditions. (b)Find the importance of n which is why Sn = 1365.

(Total 6 marks)

11. Find the quantity to infinity of the geometric series

(Total several marks)

doze. The 1st and fourth terms of the geometric series are 18 and correspondingly. Find

(a)the sum in the first n terms of the series;

(4)

(b)the sum to infinity with the series.

(2)

(Total six marks)

13. Find the coefficient of x7 inside the expansion of (2 & 3x)10, providing your response as a...

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