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5-a-day: Monday, November 2
Grades 11 and 12 (Years 12 and 13 in England)
Name
Date
Score/ 5
Question 1
A geometric series has sum to infinity 28 and common ratio 1/2. Find the first term.
Answer
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
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
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
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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