FUTO Mathematics 2014/2015 Day 2 Past Questions

Practice each question, then open it to see the full details.

Simplify $$\frac{2^{n+1} - 2^{n-1}}{2^{n+1} - 2^n}$$

A.2/3
B.7/2
C.9/2
D.3/2
E.2/5

Find the value of x if 3(2^x) = 24.

A.5
B.2
C.7
D.8
E.3

Find the value of K if the remainder when 3x³ + Kx² - 11x + 12 is divided by x-2 is 16.

A.-1/2
B.1/2
C.2/3
D.3/2
E.2/5

If a = 1/(2 - √3) and b = 1/(2 + √3), find the value of a² + b²

A.17
B.14
C.9
D.7
E.12

The product of 3 numbers in geometric progression is 720 find the second term.

A.12
B.7
C.5
D.9
E.11

The sum of 3 numbers in arithmetic progression is 12 and the sum of their squares is 66, find the possible values of the common difference.

A.2 or 1/3
B.3 or 3/4
C.5 or 3/4
D.3 or 5/2
E.2 or 7

If sin A = $${\frac45}$$ and cos B = $$\frac{12}{13}$$, find the value of sin (A + B)

A.63/65
B.23/11
C.61/67
D.5/13
E.12/13

Simplify $$\frac{\frac{2\frac45\times1\frac17}{3\frac19}}{3\frac35}$$

A.7/2
B.3/5
C.5/7
D.4/9
E.2/7

How much will N200,000 amount to at 12% simple interest over 4 years

A.N396,000
B.N296,000
C.N196,000
D.N396,0000
E.N29,000

Find the arithmetic mean of 8, 3, 5, 12 and 10.

A.7.5
B.9.3
C.7.6
D.11.5
E.13.5