Advanced level 2025 North West Regional Mock Further mathematics 1
Advanced level 2025 North West Regional Mock Further mathematics 1
A R D. 2. Consider the1 —statement X (1+x ): “If (1+itx2rains ) , then the ground will i \ . Given that = 2 T“ +^ , the value of p is:
be wet.” What is die contra–positive of this statement?
A. If the ground is wet, then it rains.
B. If the ground is not wet, then it does not rain.
C. if it does not rain, then the ground is not wet.
D. If it rains, then the ground is not wet.
[ l– x 2,0 < x < l
3. The function / (x) = \2x–1, 1 < x < 3 is
i 5, x > 3
A. 2
B. –2
C. 4
D. –4
i 2. The parametric equations of the parabola y 2 = 4ax is
given by:
x — 2at 2 , y — 2at
x = at, y = 4at 2
x = ai 2,y = 2 G £
x = at 2, y — Aat
A.
B.
discontinuous at x^?
A. 0
B. 1
C. 2
D. 3_ __
The first two terms in the MACLAURINS Series
expansion of ex sinh x is:
A‘3
A. x + –
6
B. x f x 2
A2
C. 1 4- —
aD.
. 9S0 isj
13. The unit digit of the number I 9302 + 9,93° 4–11
A. 9
B. 3
C. 7
D. 1
4.
14. Given that a * b = a — ab 4– b where * is a binary
operation in M — {!}. The identity clement for * is:
0
B. 1
C. –1
D. 2
i 5. The domain of definition of the function
| ? 6. The argument of the complex number z ~ (cos 9 + 2COS 29 ) + /(sin 6 + sin29) is: |
_ | 1(2x)+fc |
A. 9/4 ‘
B. 9 / 2
C. 0
| D. 26 | 7. I he general solution to the differential equation — 7 ~ y = 0, with a and b as arbitrary constants is: |
17. The maximum value of
A. 7
B. -7/2
C. 7/5
D. 1–1
B. 1 lie polar equation for r = –i ~—sin&
An ellipse
A hyperbola
A parabola
9. D.
represents
A. !9.
B.
C.
–
” 1 1 1 ~A . /./t •.x –
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