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5-a-day: Monday, November 2

Grades 11 and 12 (Years 12 and 13 in England)

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Date

Score/ 5

  1. Question 1

    A geometric series has sum to infinity 28 and common ratio 1/2. Find the first term.

    Answer

  2. Question 2

    For f(x) = x² − 2x, simplify (f(x + h) − f(x))/h.

    • A. 2x − 2
    • B. 2xh + h²
    • C. 2x + h − 2
    • D. 2x + h² − 2

  3. Question 3

    A chord cuts off a minor segment of a circle of radius 4 cm. The chord subtends 70° at the centre. Find the area of the segment to 1 decimal place.

    Answer

  4. Question 4

    A data set has correlation coefficient r = −0.82. How would you describe the correlation?

    • A. Strong negative
    • B. Moderate negative
    • C. Little or no linear correlation

  5. Question 5

    An arc of length 5.7 cm lies on a circle of radius 3 cm. Find the angle it makes at the centre, in radians.

    Answer

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