Advanced level 2023 south west regional mock pure mathematics with statistics 1
Advanced level 2023 south west regional mock pure mathematics with statistics 1
iven that M = limn-»0
18. Given that 77 = 15e3f — 4 and that
at
y = 4 when t = 0, then the functir .1 y is
expressed as
— , then M
takes the value
A. 0
5e3t- 4t – 9
5e3t — 4t — 1
45e3t — 4t- 41
45e3t — At – 49
B. 00 A.
2 B.
C.
3 C.
D. 1
D.
14. Given that y — 7^x , the
derived coefficient of y with respect
to x is given as
8(74*2-5)
19. Two arithmetic means between 9 and 21
are
A. 12.17
13.17
14.16
13.16
A.
B.
B. 78* C.
8xln7
8(74*2-5);dn7
c. D.
D.
20. The sum of the first n terms of a series is
given by Sn = n(1 + 2n)ln2. The fifth term
of the series is
15. The surface area of a sphere increases
from 100,T cm2 to 100.4/r cm 2.Given that
the area of a sphere = 4/rr 2, the
approximate increase in the radius, r, of the
sphere, in cm, is
A . 9/772
B. 19/n2
C. 5/n2
D. 55ln2
0.4 n
0.01n
A. 21. Given that a court room has four access
doors, the number of ways a lawyer can
enter the court room through one door and
leave through another door is
B.
C. 0.01
D. 40 7T
2xz+1 A. 144
16. The function has asymptotes
16 —X 2 B. 16
C. 12
x =-4, x = 4 and y = -2
x — —8 and y – 0
-4, x- 4 and y
x = 8, and y -\
A. D. 7
B.
22. The number of arrangements of the letters
of the word PARALLAX which begin and end
with the letter L is
C. x –
D.
17. Using thp substitution x = sin26
transforms the integral / to the
integral with respect to 0 of
A. 3360
B. 6720
C. 720
D. 120
2
A.
23. Given that
(-1+ 2x)4 = 1- 8A’ + ax 2 + kx3 + 16 A4
the value of k is
slnO
B. 2
2sinO
cos20
C.
D. C. -24
D. – 3
