A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Determine the acceleration when t = 2 secs.

• A. \(4 ms^{-2}\)
• B. \(6 ms^{-2}\)
• C. \(8 ms^{-2}\)
• D. \(10 ms^{-2}\)

If there were 3 candidates at the election and one of the losers received 5/14 of the votes, what number of votes did the other loser receive ?

• a. 100,000 votes
• b. 150,000 votes
• c. 200,000 votes
• d. 250,000 votes

(a) The diagonals of a rhombus are 10.2 cm and 9.3 cm long. Calculate, correct to one decimal place, the perimeter of the rhombus.

(b) Given that \(\sin x = \frac{3}{5}, 0° < x < 90°\), find the value of \(5\cos x - 4\tan x\).

An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in the box is

• A. 11 520cm³
• B. 36 000cm³
• C. 38 200cm³
• D. 47 520cm³

Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.

• A. 7.2
• B. 6.6
• C. 3.6
• D. 3.2

The table below gives the marks scored by a group of students in a test Use the table to answer the Question belowWhat is the probability of selecting a student from the group that scored 2 or 3?

• A. \(\frac{1}{11}\)
• B. \(\frac{5}{22}\)
• C. \(\frac{7}{22}\)
• D. \(\frac{6}{11}\)

Simplify\(\frac{3x^{3}}{(3x)^{3}}\)

• A. 1
• B. \(\frac{1}{3}\)
• C. \(\frac{1}{9}\)
• D. \(\frac{1}{27}\)

Given that \(r = 2i - j\), \(s = 3i + 5j\) and \(t = 6i - 2j\), find the magnitude of \(2r + s - t\).

• A. \(\sqrt{15}\)
• B. 4
• C. \(\sqrt{24}\)
• D. \(\sqrt{26}\)

Factorize 9(x + y)² - 4(x - y)²

• A. (x + y)(5x + y)
• B. (x + y)²
• C. (x + 5y)(5x + y)
• D. 5(x + y)²

Seconds, minutes, hours are units with definite converts faction which of the following is not

• A. inch, feet, yard
• B. naira, dollar, pound
• C. centimeter, meter, kilometer
• D. centigrade, fahcuhelt, Celsius