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.
Which of the following is not an equation of a circle?
3x\(^2\) +3y\(^2\) + 5x + 7y =5
x\(^2\) + y\(^2\) + 5x + 4y = 0
5x\(^2\) + 5y\(^2\) - 16 = 0
x\(^2\) - y\(^2\) + 3x - 5y = 2
Correct answer is D
No explanation has been provided for this answer.
In how many ways can the letters of the word MEMBER be arranged?
720
360
180
90
Correct answer is C
No. of ways = \(\frac{6!}{2!2!}\)
= \(\frac{6 \times 5 \times 4 \times 3 \times 2!}{2 \times 1 \times 2!}\)
= 180 ways
0.50 square units
0.51 square units
0.53 square units
0.54 square units
Correct answer is C
Area = \(\frac{1}{2} \times 1.33 \times 0.8\)
= 0.53 square unit
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
x\(^2\) + y\(^2\) + 10x + 8y + 25 =0
x\(^2\) + y\(^2\) +10x - 8y - 25 = 0
x\(^2\) + y\(^2\) - 10x + 8y + 25 =0
x\(^2\) + y\(^2\) -10x - 8y - 25 = 0
Correct answer is C
(x - h)\(^2\) + (y - k)\(^2\) = r\(^2\)
x\(^2\) - 2hx + y\(^2\) - 2ky + h\(^2\) + k\(^2\) = r\(^2\)
x\(^2\) - 2(3)x + y\(^2\) - 2(-4) y + 5\(^2\) + (-4)\(^2\) = r\(^2\)
x\(^2\) - 10x + y\(^2\) + 8y + 25 + 16 = r\(^2\)
x\(^2\) - 10x + y\(^2\) + 8y + 41 = r\(^2\)
at point (5,0)
5\(^2\) - 10(5) + 0\(^2\) + 8(0) + 41 = r\(^2\)
25 - 50 + 41 = r\(^2\)
16 = r\(^2\)
r = \(\sqrt{16}\)
= 4
x\(^2\) + y\(^2\) - 10x + 8y + 25 = 0
Find the nth term of the linear sequence (A.P) (5y + 1), ( 2y + 1), (1- y),...
(8 + 3n)y + 1
8y + 3n + 1
(8 - 3n)y + 1
8y - 3n + 1
Correct answer is C
Tn = a + (n - 1)d
Tn = 5y + 1 (n - 1) -3y
Tn = 5y + 1 - 3ny + 3y
Tn = 8y - 3ny + 1
Tn = (8 - 3n) y + 1