Mathematics Paper 2C

The length and width of a rectangular piece of paper were measured as 60 cm and 12 cm respectively. Determine the relative error in the calculation of its area.

• 0.1

• 0.5

• 0.05

• 0.01

An arc 11 cm long, subtends an angle of 70° at the centre of a circle. Calculate the length, correct to one decimal place, of a chord that subtends an angle of 90° at the centre of the same circle.

• 9 cm

• 11.7 cm

• 12 cm

• 12.7 cm

In the figure below, O is the centre of the circle. A, B, C and D are points on the circumference of the circle. Line AB is parallel to line DC and angle ADC = 55°. Determine the size of angle ACB.

• 20⁰

• 35⁰

• 90⁰

• 125⁰

Eleven people can complete 3/5 of a certain job in 24 hours. Determine the time in hours, correct to 2 decimal places, that 7 people working at the same rate can take to complete the remaining job.

• 37.71 hours

• 24.41 hours

• 25.14 hours

• 36.71 hours

The length and width of a rectangular signboard are (3x +12) cm and (x — 4) cm respectively. If the diagonal of the signboard is 200 cm, determine its area.

• 10,192 cm²

• 10,752 cm²

• 11,520

• 4,032 cm²

Use the expansion of (x — y)⁵ to evaluate (9.8)⁵ correct to 4 decimal places.

• 90,342.0797

• 90,452.0979

• 90,407.9197

• 90,352.0797

The diameter of a circle, centre O has its end points at M(-1, 6) and N(5,-2). Find the equation of the circle in the form x² + y² + ax + by = c where a, b and c are constants.

• x² + y² - 4x - 4y = 17

• x² + y²+ 4x + 4y = 17

• x² + y² - 4x +4y = 17

• x² + y² + 4x- 4y = 17

Find the value of x given that log (x - 1) + 2 = log (3x + 2) + log 25.

• 2

• -6

• 4

• 6

In a nomination for a committee, two people were to be selected at random from a group of 3 men and 5 women. Find the probability that a man and a woman were selected.