FUTO Mathematics 2015/2016 Day 4 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)

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

P varies directly as the square of Q and inversely as R. If P = 36 when Q = 3 and R = 4, find P when Q = 5 and R = 2

A.72
B.100
C.90
D.200
E.125

A cone is formed by bending a sector of a circle having an angle of 210°. Find the radius of the base of the cone. If the diameter of the circle is 12cm.

A.7.00cm
B.1.75cm
C.21cm
D.3.5cm
E.2.21cm

Find the 9^th term of the arithmetic progression 18, 12, 6, 0, -6 ....

A.-54
B.-30
C.30
D.42
E.54

Evaluate log₁₀25 + log₁₀32 - log₁₀8

A.0.2
B.2
C.100
D.409
E.4

Express 0.00562 in standard form

A.5.62 x 10^-3
B.5.62 x 10^-2
C.5.62 x 10²
D.5.62 x 10³
E.3

An Arc of length 22cm subtends an angle O at the center of the circle. What is the value of O if the radius of the circle is 15cm?(take π = 22/7)

A.70°
B.84°
C.96°
D.156°
E.168°

P and Q are fixed points and X is a variable point which moves so that angles PXQ = 45°. What is the focus of X?

A.a pair of straight lines parallel to PQ
B.The perpendicular bisector of angle PXQ
C.an arc of a circle
D.a circle with diameter PQ
E.the bisector of angle PXQ

What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 17

A.x
B.x-1
C.c+1
D.no common factor
E.2x + 1