If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when

u = 2 and v = 6, find a relationship between u, v, w.

• A. uvw = 16(u + v)
• B. 16uv = 3w(u + v)
• C. uvw = 12(u + v)
• D. 12uvw = u + v

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

• A. 240°
• B. 150°
• C. 60°
• D. 270°

If g(x) = x² + 3x find g(x + 1) - g(x)

• A. (x + 2)
• B. 2(x + 2)
• C. (2x + 1)
• D. (x² + 4)

Factorize completely 81a\(^4\) - 16b\(^4\)

• A. (3a + 2b)(2a - 3b)(9a² + 4b²)
• B. (3a - 2b)(2a - 3b)(4a² - 9b²)
• C. (3a - 2b)(3a + 2b)(9a² + 4b²)
• D. (6a - 2b)(8a - 3b)(4a³ - 9b²)

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

• A. −2/7
• B. 7/6
• C. −6/7
• D. 2

factorize m³ - m² + 2m - 2

• A. (m² + 1)(m - 2)
• B. (m - 1)(m + 1)(m + 2)
• C. (m - 2)(m + 1)(m - 1)
• D. (m² + 2)(m - 1)

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

• A. 25 ways
• B. 10 ways
• C. 15 ways
• D. 20 ways

What is the n-th term of the sequence 2, 6, 12, 20...?

• A. 4n - 2
• B. 2(3^{n - 1})
• C. n² + n
• D. n² + 3n + 2

Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?

• A. 2/3
• B. 1/2
• C. 1/3
• D. 1/4

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

• A. 25
• B. 19
• C. 18
• D. 17