A level south west regional mock gce 2022 further mathematics 1
A level south west regional mock gce 2022 further mathematics 1
A particle of mass 3 m is attached to one end of a
light elastic string of natural length 2a and modulus
2mg, whose other end is fixed to some point O. If
the particle is allowed to fall from rest at O, then its
acceleration when the extension in the string is a m
The value of P(1 < x < 2) is A) – B) — ’ 27 C) f D> 3
IS
A) i2
B) 2g
D) “
2g
13 If the random variable X is such that
X~£(100, 0.2), then the normal approximation to
X is
18 A group G has subgroups {a,b},{a,b,c,d , f ] and
{a, d,e}. The least possible order of the group is
A) 10
B) 15
C) 30
D) 6
A) X ~ N ( 2Q,0.2)
B) X ~N ( 20,20)
C) X ~N ( 20, 16)
D) X~ yV(100, 0.2)
14 The variance of a poison distribution is 4. The
probability of having exactly 5 successes is
19 A mapping 6 : {G, *) -> ( H , »), with g, gx, g2 G
G, is a group homomorphism if
A) e{g ) = e{ h ), h e l l
B) 9 (g x * g 2 ) = 9( g\) ° Q { g 2 )
c) 0 { g x * g z ) = 6(g x ° 9 2 )
D) 6 ( g ) = h, h e H
20 Given the group ( Z4,+4) where Z4 = {0,1,2,3}
and +4 means addition modulo 4, the inverse of
the element 3 is
15 A particle executes simple harmonic motion
between two points which are 10 meters apart such
that its speed, when it is 4 meters from the centre of
its path is 6ms_1. The period of motion of the
