FUTO Mathematics 2006/2007 Past Questions

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

Factorize the following expression:
2X² + X - 15

A.(2x + 5) (x -3)
B.(2x - 5) (X + 3)
C.(2X - 5) (X - 3)
D.(2x -3)(x + 5)
E.(2X + 5) (X + 3)

Simplify 36^1/2 x 1/64^1/2 X 5⁰

A.3/4
B.1/24
C.2/3
D.1 1/2
E.7 1/2

Simplify 125^1/30

A.350
B.35
C.1/35
D.1/350
E.0

If 3loga + 5loga o= log64. What is a?

A.4
B.6
C.8
D.16
E.32

Evaluate (101.2)² - (100.5)²

A.1
B.2.02
C.20.02
D.141.19
E.20.20

Simplify log6 + log12

A.√4
B.-1
C.0
D.1
E.4

Express 0.00562 in standard form

A.5.62 x 10^-3
B.5.62 x 10^-2
C.0.562 x 10^-2
D.5.62 x 10³
E.5.62 x 10⁴

Simplify $$\frac{log √27}{log81}$$

A.1/6
B.3/8
C.1/2
D.3/4
E.2/3

If 3^2x = 27, what is x?

A.1/6
B.1.5
C.4.5
D.18
E.405

For what value of the expression (y + 2)(y² - 3y - 10) of y is the equation undefined

A.y = 0
B.y = 2
C.y = 3
D.y = 5
E.y = 10

Simplify [(1/4) - 1]^1/2

A.1/6
B.1/4
C.2
D.2
E.8

Given that 1/3log₁₀P = 1, find the value of p.

A.3
B.1/10
C.10
D.100
E.1000

Express the product of 0.06 and 0.09 in standard form

A.5.4 x 10^-3
B.5.4 x 10²
C.5.4 x 10^-1
D.7.5 x 10^-2
E.7.5 x 10^-3

Evaluate 0.009 ÷ 0.0012. Leaving your answer in standard form.

A.7.4 x 10²
B.7.5 x 10^-1
C.7.5 x 10^-2
D.7.5 x 10^-3
E.7.5 x 10³

Solve the equation 3a + 10 = a²

A.a = 5 or a = 2
B.a = -5 or a = 2
C.a = 10 or a = 0
D.a = 5 or a = -2
E.a = -5 or a = -2

The population of a village is 5846. Express this number to three significant figures.

A.5850
B.584
C.5840
D.585
E.584

If cos 60 = 1/2. Which of the following angles has cosine of 1/2?

A.30°
B.120°
C.150°
D.210°
E.330°

Factorize 35 - 2b - b²

A.(35 - 2b)(b - 1)
B.(7 + b)(5 - b)
C.(3 + 7b)(5 - b)
D.(35 - b)(3b + 7)
E.(7 + b)(5 + b)

A ladder 9m long, leans against a vertical wall making an angle of 64° with the horizontal ground. Calculate, correct one decimal place, how far the foot of the ladder is from the wall.

A.4.0m
B.0.8m
C.7.1m
D.8.1m
E.18.5m

If the second fourth terms of a geometrical progression are 8 and 32 respectively. What is the sum of the first four terms?

A.28
B.40
C.48
D.60
E.68