The height of a pyramid on square base is 15cm. if the volume is 80cm^3, find the area of the square base.
- A. 8cm2
- B. 9.6cm2
- C. 16cm2
- D. 25cm2
A bicycle wheel of radius 42cm is rolled over a distance 66 meters. How many revolutions does it make?[Take \(\pi = \frac{22}{7}\)]
- A. 2.5
- B. 5
- C. 25
- D. 50
In the diagram, PQS is a circle with center O. RST is a tangent at S and ∠SOP = 96o. Find ∠PST
- A. 42o
- B. 48o
- C. 60o
- D. 66o
Given that p varies directly as q while q varies inversely as r, which of the following statements is true?
- A. r varies directly as p
- B. p varies inversely as r
- C. p varies directly as r
- D. q varies inversely as p
Find the value of x such that the expression \(\frac{1}{x}+\frac{4}{3x}-\frac{5}{6x}+1\) equals zero
- A. \(\frac{1}{6}\)
- B. \(\frac{1}{4}\)
- C. \(\frac{-3}{2}\)
- D. \(\frac{-7}{6}\)
Solve the equation \(3y^2\) = 27y
- A. y = o or 3
- B. y = 0 or 9
- C. y = -3 or 3
- D. y = 3 or 9
Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
- A. \(\frac{rk^2 + p}{m^2}\)
- B. \(\frac{rk^2+pm^2}{m^2}\)
- C. \(\frac{rk^2-p}{m^2}\)
- D. \(\frac{rk^2-p^2}{m^2}\)
Find the equation whose roots are -8 and 5
- A. \(x^2 + 13x + 40=0\)
- B. \(x^2 - 13x - 40=0\)
- C. \(x^2 - 3x +40=0\)
- D. \(x^2 + 3x - 40=0\)
Form an inequality for a distance d meters which is more than 18m, but not more than 23m
- A. 18 ≤ d ≤ 23
- B. 18 < d ≤ 23
- C. 18 ≤ d < 23
- D. d < 18 or d > 23
Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 – 9}\)
- A. \(\frac{x-1}{x-3}\)
- B. \(\frac{-2}{x+3}\)
- C. \(\frac{x-1}{x+3}\)
- D. \(\frac{4x}{x^2-9}\)
Given that (2x + 7) is a factor of \(2x^2 + 3x – 14\), find the other factor
- A. x + 2
- B. 2 - x
- C. x - 2
- D. x + 1
If x varies inversely as y and \(x = \frac{2}{3}\) when y = 9, find the value of y when \(x=\frac{3}{4}\)
- A. \(\frac{1}{18}\)
- B. \(\frac{8}{81}\)
- C. \(\frac{9}{2}\)
- D. 8
Given that \(27^{(1+x)}=9,)\ find x
- A. -3
- B. \(\frac{-1}{3}\)
- C. \(\frac{5}{3}\)
- D. 2
Given that \(x = -\frac{1}{2}and \hspace{1mm} y = 4 \hspace{1mm} evaluate \hspace{1mm} 3x^2y+xy^2\)
- A. -5
- B. -1
- C. 4
- D. 11
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
- A. 160o
- B. 140o
- C. 120o
- D. 100o
If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.
- A. \(57\frac{1}{2}^{\circ}\)
- B. \(65^{\circ}\)
- C. \(106^{\circ}\)
- D. \(120^{\circ}\)
Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle
- A. 75o
- B. 150o
- C. 160o
- D. 68o
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
- A. 30o
- B. 40o
- C. 45o
- D. 50o
Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles
- A. I and II only
- B. III only
- C. II only
- D. II and III only
The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination
- A. \(\frac{1}{10}\)
- B. \(\frac{3}{10}\)
- C. \(\frac{9}{20}\)
- D. \(\frac{2}{3}\)
Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2
- A. 1.5
- B. 1.7
- C. 1.8
- D. 1.9