Advanced level 2023 northwest regional mock pure mathematics with statistics 1
Advanced level 2023 northwest regional mock pure mathematics with statistics 1
VX A–polynomial 12 2)leaves ’ the X2(remainder x-1)_:3(^+2) when divided by fl(x) sslx-2′ 2 *^ then«(-i;=
B-8
10*
A 1
B 0
C 8
C 3
D 0
‘Tmtorwhichthefunction
of: , o s> < j i
-1.
:1jT X”iy The^’value L—
(2m
h(x) 88[
2 if the roots of the equation 2×2 — -~’x 3 — 0 are a and /?
then the value ofa*f3+aB* is:
A-i
s continuousis:
2x~
£
63
B A 3
8
B 4
C —
02
8 C 5
3. Given are8: that 5* = the values of a and 6 127?Aah^20 10alue of(^i732)(l08481) is:
L
log2
D (]og2)0£g31_ .
of the first n Terms ot a sequence is~(3n -f }j
V. ; */ —
B a=-2,i>=3
2, b–3
D n= 1
,
__
4 Given dratthe function f is 5uch that t(—v)= f(x). a true
statement,s:
A the graphofy=ffr)issymmetrical about the line
v= 0
B thegraph ofy= f(v)is symmetrical aboutthe line
v=x.
C tire graph ofy=f(*)’is symmetrical aboutthe origin
D me graphofy= f(r) is symmetrical
aboutthex= 0
% 9
*
C a –
13. The sum
The 10*term ofthe sequence is:
A 32
B 29
C 126
D 155
TTTtelSitiOTRdefined on tne set {1. 2, 3} as R=
‘
{(1,1).f2,2).(2.3),(3.2)} is:
A reflexive
B transitive
C symmetric
D anti-symmetric
The numberof arrangement ofthe letters ofthe word
BANANA inwhich the A‘s are together is:
A 60
3 4S
C 24
D 12
16. A family consists of a father, mother and four children.The
number of ways a friend can invite three members ofthis
family to aparty if at least one parent must be invited is:
A 4’
B 12
C 16
D 20
5. 2(33)-r 33 —
A 63+33
3 39
C 2(36)
D 34
15
–
i
.
s!
6. The function g(x)=.r3+3.x- — 9.r+10 is strictly
increasing withintherange:
A ]-» —3*U[lf +=of
B j-3.II
C 3-00. —3]U]1, +=oi
D[-3. 1]
> i;;! !
7. Givendie twostarements z?and q where
p:NgwalivesinDouala
q:NgwaspeaksFrench
Hiepropesidon~!tisnoxtruethatNgwa speaksFrench and
does net 1he k? Dousis*in symbolic form is;
A q A-p
B-{-qVp)
C — qA— p
D -($A—p)
!4
Ilia#
i
W-:
• i
i’
-!
17. An arc of a circle of radius 4cm subtends an angle of 60°ai
the centre of the circle.The length of the arc is:
A 4.19cm
B 8.34cm
C 16.76cm
E> 23.13cm
i• ’ -‘ r
ivr.
i’
S Thecoefficientofme tenr* inx4 irs the expansion of
\ Xf
A -960
. B-120
C 120
D 960
sin2S
IS.
t-cosUf*
A tand
B cot6
C 2tan6
! D cos8
