The grades of 36 students in a class test are as shown in the pie chart. How many student has excellent?
- A. 7
- B. 8
- C. 9
- D. 12
find the length XZ in the triangle
- A. \(\sqrt{7m}\)
- B. \(\sqrt{6m}\)
- C. \(\sqrt{5m}\)
- D. \(\sqrt{3m}\)
In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
- A. 3
- B. 4
- C. 5
- D. 6
In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS
- A. 70o
- B. 55o
- C. 40o
- D. 35o
In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG, and FH are chords. If < FHG = 42ΒΊ and < EFH = 34ΒΊ, calculate < HEG.
- A. 34o
- B. 42o
- C. 52o
- D. 76o
the shaded portion in the graph is represented by
- A. y + x - x \(\leq\) 0, y - x \(\leq\) 0
- B. y - x + x, 3 \(\leq\) 0, y - x \(\geq\) 0
- C. y + x - 3 \(\geq\) 0, y + x \(\leq\) 0
- D. y - x + x3 \(\geq\) 0, y + x \(\leq\) 0
The table above shows the frequency distribution of the ages (in years) of pupils in a certain secondary school. What percentage of the total number of pupils is over 15 years but less than 21 years?
- A. 35%
- B. 45%
- C. 50%
- D. 60%
The diagram above is the graph of y = x2, the shaded area is
- A. 64 square units
- B. 128/3 square units
- C. 64/3 square units
- D. 32 square units
Find the value of l in the frustrum above
- A. 5cm
- B. 6cm
- C. 7cm
- D. 8cm
In the figure above, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
- A. 3
- B. 4
- C. 5
- D. 6
In the diagram above, EFGH is a cyclic quadrilateral in which EH//FG, EG and FH are chords. If β FHG = 42o and β EFH = 34o, calculate β HEG
- A. 34o
- B. 42o
- C. 52o
- D. 76o
In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.
- A. 70o
- B. 55o
- C. 40o
- D. 35o
Find the length XZ in the triangle above.
- A. β7 m
- B. β6 m
- C. β5 m
- D. β3 m
The shaded portion in the graph above is represented by
- A. y + x - x3 β₯ 0, y - x β€ 0
- B. y - x + x3 β₯ 0, y - x β€ 0
- C. y + x - x3 β€ 0, y + x β₯ 0
- D. y - x + x3 β€ 0, y + x β₯ 0
If the minimum value of y = 1 + hx – 3x2 is 13, find h.
- A. 13
- B. 12
- C. 11
- D. 10
Find the value of x for which the function y = x3 – x has a minimum value.
- A. \(-\sqrt{3}\)
- B. \(-\sqrt{\frac{3}{3}}\)
- C. \(\sqrt{\frac{3}{3}}\)
- D. \(\sqrt{3}\)
Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)
- A. \(\frac{-10}{3}\)
- B. 7
- C. 9
- D. 11
What is the derivative of t2 sin (3t – 5) with respect to t?
- A. 6t cos (3t - 5)
- B. 2t sin (3t - 5) - 3t2 cos (3t - 5)
- C. 2t sin (3t - 5) + 3t2 cos (3t - 5)
- D. 2t sin (3t - 5) + t2 cos 3t
Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.
- A. 81 Ο cubic units
- B. 36 Ο cubic units
- C. 18 Ο cubic units
- D. 9 Ο cubic units
Evaluate: \(\int^{z}_{0}(sin x – cos x) dx \hspace{1mm}
Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)
- A. \(\sqrt{2 +1}\)
- B. \(\sqrt{2 }-1\)
- C. \(-\sqrt{2 }-1\)
- D. \(1-\sqrt{2}\)