Mathematics

Calculate the volume of the regular three-dimensional figure drawn below, where < ABC = 90° (a right-angled triangle).

A. 394 cm³ B. 425 cm³ C. 268 cm³ D. 540 cm³ Correct Answer: Option D D. 540 cm³

5 years ago

In the circle below, with centre O and radius 7 cm. Find the length of the arc AB, when < AOB = 57°.

A. 5.32 cm B. 4.39 cm C. 7.33 cm D. 6.97 cm Correct Answer: Option D D. 6.97 cm

5 years ago

The histogram above represents the number of candidates who did Further Mathematics examination in a school. How many candidates scored more than 40?

A. 100 B. 79 C. 150 D. 90 Correct Answer: Option C C. 150

5 years ago

The table below is the distribution of data with mean equals to 3. Find the value of y.

Mark 1 2 3 4 5 Frequency  2y-2 y-1 3y-4 y-3 6-2y A. 5 B. 2 C. 3 D. 6…

5 years ago

Find the equation of a line perpendicular to the line 4y = 7x + 3 which passes through (-3, 1)

A. 7y + 4x + 5 = 0 B. 7y - 4x - 5 = 0 C. 3y - 5x…

5 years ago

Find the distance between the points C(2, 2) and D(5, 6).

A. 13 units B. 7 units C. 12 units D. 5 units Correct Answer: Option D D. 5 units

5 years ago

Differentiate 2x/sinx with respect to x.

A. 2cotxsecx(1+tanx) B. 2cscx−xcotx C. 2xcscx+tanx D. 2cscx(1−xcotx) Correct Answer: Option D D. 2cscx(1−xcotx)

5 years ago

If 2x² + x – 3 divides x – 2, find the remainder.

A. 7 B. 3 C. 5 D. 6 Correct Answer: Option A A. 7

5 years ago

Find the polynomial if given q(x) = x² – x – 5, d(x) = 3x – 1 and r(x) = 7.

A. 3x³ - 4x² - 14x + 12 B. 3x² + 3x - 7 C. 3x³ + 4x² + 14x -…

5 years ago

Determine the values for which x²−7x+10 ≤ 0

A. 2 ≤ x ≥ 5 B. -2 ≤ x ≤ 3 C. -2 ≤ x ≥ 3 D. 2…

5 years ago
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