consider the statements:
P = All students offering Literature(L) also offer History(H);
Q = Students offering History(H) do not offer Geography(G).
Which of the Venn diagram correctly illustrate the two statements?
- A. A
- B. B
- C. C
- D. D
In △LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\).
Find the area of △LMN
- A. 60cm\(^2\)
- B. 48cm\(^2\)
- C. 24cm\(^2\)
- D. 30cm\(^2\)
The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.
- A. 20cm
- B. 60cm
- C. 40cm
- D. 30cm
A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of #22,800.00 was paid as import duty, calculate the cost of the engine.
- A. #60,000.00
- B. #120,000.00
- C. #24,000.00
- D. #18,000.00
make u the subject in x =\(\frac{2u-3}{3u + 2}\)
- A. u = \(\frac{2x + 3}{3x - 2}\)
- B. u = \(\frac{2x - 3}{3x - 2}\)
- C. u = \(\frac{2x + 3}{2 - 3x}\)
- D. u = \(\frac{2x + 3}{3x + 2}\)
The sum of the interior angles of a regular polygon with k sides is (3k-10) right angles. Find the size of the exterior angle?
- A. 60°
- B. 40°
- C. 90°
- D. 120°
In the diagram, ∠ABC and ∠BCD are right angles, ∠BAD = t and ∠EDF = 70°. Find the value of t.
- A. 70°
- B. 165°
- C. 140°
- D. 110°
If 4x+2y=16 and 6x-2y=4 , find the value of (y-x).
- A. 8
- B. 2
- C. 4
- D. 6
Simplify 2√7- \(\frac{14}{√7} + \frac{7}{√21}\)
- A. \(\frac{√21}{21}\)
- B. 7\(\frac{√21}{21}\)
- C. \(\frac{√21}{3}\)
- D. 3√21
The circumference of a circular track is 9km. A cyclist rides round it a number of times and stops after covering a distance of 302km. How far is the cyclist from the starting point?
- A. 5km
- B. 6km
- C. 7km
- D. 3km
If 16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1 – x)}\), find the value of x.
- A. -4
- B. 4
- C. 1
- D. -1
Mensah is 5 years old and joyce is thrice as old as mensah. In how many years will joyce be twice as old as Mensah?
- A. 3 years
- B. 10 years
- C. 5 years
- D. 15 years
What number should be subtracted from the sum of 2 \(\frac{1}{6}\) and 2\(\frac{7}{12}\) to give 3\(\frac{1}{4}\)?
- A. \(\frac{1}{3}\)
- B. 1\(\frac{1}{2}\)
- C. 1\(\frac{1}{6}\)
- D. \(\frac{1}{2}\)
Factorize 6pq-3rs-3ps+6qr
- A. 3(r -p)(2q + s)
- B. 3(p + r)( 2q - 2q - s)
- C. 3(2q - s)(p + r)
- D. 3(r - p)(s - 2q)
if p = {-3<x<1} and Q = {-1<x<3}, where x is a real number, find P n Q.
- A. 0
- B. -3, -2, -1, 0 and 1
- C. -2, -1 and 0
- D. -1, 0 and 1
Find the 5th term of the sequence 2,5,10,17….?
- A. 22
- B. 24
- C. 36
- D. 26
If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.
- A. 3m + n
- B. m + 3n
- C. 4mn
- D. 3mn
Simplify: (11\(_{two}\))\(^2\)
- A. 1001\(_2\)
- B. 1101\(_2\)
- C. 101\(_2\)
- D. 10001\(_2\)
correct 0.007985 to three significant figures.
- A. 0.0109
- B. 0.0800
- C. 0.00799
- D. 0.008