Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
If P=(1−234) and Q=(−2310), find PQ.
(41−29)
(−4129)
(−43−213)
(−43−29)
Correct answer is D
(1−234)\((−2310)
= ((1×−2)+(−2×1)(1×3)+(−2×0)(3×−2)+(4×1)(3×3)+(4×0))
= (−43−29)
Express 7π6 radians in degrees.
315°
210°
105°
75°
Correct answer is B
\pi = 180°
\frac{7\pi}{6} = \frac{7 \times 180}{6}
= 210°
A rectangle has a perimeter of 24m. If its area is to be maximum, find its dimension.
12, 12
6, 6
4, 8
9, 3
Correct answer is B
Perimeter = 2(l + b) = 24
l + b = 12 \implies l = 12 - b
Area = (12 - b) \times b = 12b - b^{2}
\frac{\mathrm d A}{\mathrm d b} = 12 - 2b = 0 (at maximum)
2b = 12 \implies b = 6
l = 12 - 6 = 6m
Evaluate \int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x.
-2
2
8
10
Correct answer is A
\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x
= (2x + x^{2} - x^{3})|_{1}^{2}
= (2(2) + 2^{2} - 2^{3}) - (2(1) + 1^{2} - 1^{3})
= 0 - 2 = -2
What is the coordinate of the centre of the circle 5x^{2} + 5y^{2} - 15x + 25y - 3 = 0?
(\frac{15}{2}, -\frac{25}{2})
(\frac{3}{2}, -\frac{5}{2})
(-\frac{3}{2}, \frac{5}{2})
(-\frac{15}{2}, \frac{25}{2})
Correct answer is B
Equation for a circle: (x - a)^{2} + (y - b)^{2} = r^{2}
Expanding, we have:
x^{2} - 2ax + a^{2} + y^{2} - 2by + b^{2} = r^{2}
Given: 5x^{2} + 5y^{2} - 15x + 25y - 3 = 0
Divide through by 5,
= x^{2} + y^{2} - 3x + 5y - \frac{3}{5} = 0
Comparing, we have
- 2a = -3; a = \frac{3}{2}
-2b = 5; b = -\frac{5}{2}