Advanced level 2023 northwest regional mock pure mathematics with mechanics 1
Advanced level 2023 northwest regional mock pure mathematics with mechanics 1
he Ax–lpolynomial 22) leaves the x2(remainder x- -, +2) Whe”divided by «C*)=lx-2,‘ 2<x<4“’’H“(-D=•
B-8 A 1
C 8 B 0
D 0 C 3
2. If the roots of the equation’s?
then the value ofa2p+ap3i$.
A
D —a
^^pmH?-ofmfor X , 0 which x <3thejsfunction continuous is:
= 3 <x<5
~3x— 3=0 are aandfi
8
63
B 8 A 3
B 4
8 C 5
» 2 D 7
12 The value of (log332)(log481) is.
A 20
—-i f — “ i t ~
3. Given that(*+2)0r-3) X+2^ the values ofaand b
are:
B 10
A a= 2, b-3
B a=-2, 6= 3
C a= 2, b=-3
D a=-2, 6=-3
r
i°e2
n flog2)(log3)
^J^TheTsunTofthe 10th term offirst thensequence terms ofisa: sequence is~(3n+1)
A 32
B 29
C 126
D 155
14 The relationR defined on the set {1, 2, 3}asR=
‘
{(i,l),(2,2),(2,3),(3,2)} is:
A reflexive
B transitive
C symmetric
D anti-symmetric
15. Thenumber ofarrangement ofthe letters ofthe word
BANANA in which the A’s are together is:
A 60
B 48
C 24
D 12
4. Given that the function f is such that f(-x)= f(x), a true
statementis:
A the graph ofy= f(x) is symmetrical aboutthe line
y= 0
B the graph ofy= f(x)is symmetrical aboutthe line
y=x.
C the graph ofy= f(x) is symmetrical aboutthe origin
D the graph ofy= f(x)is symmetrical
aboutthex — 0
•i’
5. 2(33)+33=
A 63+33
B 39
C 2(36)
D 34
6. The function g(x)=x3+3×2 — 9x+ 10 is strictly
increasing within the range:
A ]-oo, —3[U[1, +oo[
B ]-3, 1[
C ]-«>, -3]U ]l, -hoof
D [-3, 1]
16. A family consists of a father, mother and four children.The
number of ways a friend can invite three.membersof this
family to a party if at least one parent must be invited is:
7. Given the two statements p and q where A A
p:Ngwa lives in Douala
q:Ngwa speaksFrench
The proposition“Itis nottrue thatNgwa speaks French and
does notlivein Douala” in symbolic form is:
A q p
B-(~q Vp)
C ~ q A~p
D- (q A- p)
8. The coefficient ofthe term inx4 in the expansion of
A k
B 12
C 16
D 20
17. An arc ofa circle ofradius 4cm subtends anangle of60°at
the centre ofthe circle.The length ofthe arc is:
A 4.19cm
B 8.34cm
C 16.76cm
D 25.13cm
(*–) ( 2110is: 18. •sin28
1-COS20
A tan0
B cot0
C 2tan<?
D cos0
A-960
B -120
C 120
P 960
9
– The length of the tangent from the point (—3,-“2) to th
