Back to 5-a-day
LevelGrades 1 and 2Grades 3 and 4Grades 5 and 6Grades 7 and 8Grades 9 and 10Grades 11 and 12
DaysTodayLast 5 days
Answer keyNoneAnswersWith steps

Free to print and copy for home or class.

eurekami

5-a-day: Monday, November 2

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

Name

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

Free from eurekami.com/math/5-a-day

for the adult only

Answer key: 5-a-day: Monday, November 2

  1. 1. 14

    • a = 28 × 1/2 = 14

  2. 2. 2x + h − 2

    • (2xh + h² − 2h)/h
    • 2x + h − 2

  3. 3. 2.3

    • 70/360 × π × 4² − ½ × 4² × sin 70°
    • ≈ 2.3 cm²

  4. 4. Strong negative

    • Strong negative

  5. 5. 1.9

    • θ = 5.7 ÷ 3 = 1.9