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- A tetrahedron has equilateral triangular base ABC of side 10cm.(Solved)
A tetrahedron has equilateral triangular base ABC of side 10cm. The vertex V is such that VA = VB = VC = 8cm. Calculate:
(a) The angle between the planes ABC and BCV
(b) The vertical height of the vertex V above the base ABC.
(c) Volume of the tetrahedron.
Date posted: August 20, 2019. Answers (1)
- On the grid provided below, draw the graph of y = (x + 4)(1 - 2x) for the range(Solved)
(a) On the grid provided below, draw the graph of y = (x + 4)(1 - 2x) for the range 
(b) On the same grid draw the line y + 3x = 2.
(c) Use your graph to solve the equations:
(i) (x + 4)(1 - 2x) = -5
(ii) -2 - 4x - 2x² = 0
Date posted: August 20, 2019. Answers (1)
- Two aeroplanes, T and S leave an airport A at the same time.(Solved)
Two aeroplanes, T and S leave an airport A at the same time. S flies on a bearing of 0600 at 750km/h while T flies on a bearing of 2100 at 900 km/h.
(a) Use a suitable scale, to draw a diagram showing the relative position of the aeroplanes
after two hours.
(b) Use your diagram to determine:
(i) the distance between the two aeroplanes.
(ii) the bearing of T from S.
(c) Aeroplane T later flew to the East at the same speed for one hour. Show its final position
on the diagram in (a) above.
Determine:
(i) Its final distance from A.
(ii) Its final bearing from S.
Date posted: August 20, 2019. Answers (1)
- The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges...(Solved)
The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges are each 26cm long.
Determine:
a) Height of the original pyramid.
b) Volume of the frustum.
c) Density in g/cm3 if the solid has a mass of 7.488kg
Date posted: August 20, 2019. Answers (1)
- Sketch and label the net of the prism shown below.(Solved)
Sketch and label the net of the prism shown below.
Date posted: August 20, 2019. Answers (1)
- The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1).(Solved)
The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1). Find its equation.
Date posted: August 20, 2019. Answers (1)
- In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If anglePSQ = 25o...(Solved)
In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If angle PSQ = 25o and angle POT = 120o.
a) Angle QRP
b) Angle PTO
c) Angle QPT
d) Angle QPS
c) Angle PTS
Date posted: August 20, 2019. Answers (1)
- A circle of radius 7 units has it’s centre at the point of intersection between the lines x + 2y + 1 = 0 and...(Solved)
A circle of radius 7 units has it’s centre at the point of intersection between the lines x + 2y + 1 = 0 and 2x + 3y – 3 = 0. Find the equation of the circle expressing it in the form x² + y² + yx + fy + c = 0.
Date posted: August 20, 2019. Answers (1)
- Use the tables of squares, square roots and reciprocals only to find the value of(Solved)
Use the tables of squares, square roots and reciprocals only to find the value of
Date posted: August 20, 2019. Answers (1)
- Represent the solution on a number line.(Solved)
Solve the inequalities 
hence represent the solution on a number line.
Date posted: August 20, 2019. Answers (1)
- Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.(Solved)
Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.
Date posted: August 20, 2019. Answers (1)
- Jecinta made a profit of 25% by selling a pair of shoes at kshs 1500. What percentage profit would she
have made if she sold the...(Solved)
Jecinta made a profit of 25% by selling a pair of shoes at kshs 1500. What percentage profit would she
have made if she sold the same of shoes at 1600?
Date posted: August 20, 2019. Answers (1)
- The mean of five numbers is 20. The mean of the first three numbers is 16.(Solved)
The mean of five numbers is 20. The mean of the first three numbers is 16. The fifth number is greater than the fourth by 8. Find the fifth number.
Date posted: August 20, 2019. Answers (1)
- If a = 3.2 cm b = 5.6 cm and c = 2.4cm. Find the percentage error in evaluating.
( a+ c) – b(Solved)
If a = 3.2 cm b = 5.6 cm and c = 2.4cm. Find the percentage error in evaluating.
( a+ c) – b
Date posted: August 20, 2019. Answers (1)
- Find the values of a, b and c.(Solved)
Given that 
Find the values of a, b and c.
Date posted: August 20, 2019. Answers (1)
- A form four class has 13 girls and 7 boys. The mean mark for the 13 girls is 48% while the mean mark for the...(Solved)
A form four class has 13 girls and 7 boys. The mean mark for the 13 girls is 48% while the mean mark for the whole class is 41%. Calculate the mean mark for the 7 boys.
Date posted: August 20, 2019. Answers (1)
- Solve the equation 2x² + 3x = 5 by completing the square method.(Solved)
Solve the equation 2x² + 3x = 5 by completing the square method.
Date posted: August 20, 2019. Answers (1)
- Given that 5x = 7y, find the ratio x : y(Solved)
Given that 5x = 7y, find the ratio x : y
Date posted: August 20, 2019. Answers (1)
- Find the possible values of x in the equation 9x2 = 27(2x+ 12)(Solved)
Find the possible values of x in the equation 9x2 = 27(2x+ 12)
Date posted: August 20, 2019. Answers (1)
- A car traveling at 104km/hr is 297m behind another car traveling at 71km/hr in the same direction. How long does it take the faster car...(Solved)
A car traveling at 104km/hr is 297m behind another car traveling at 71km/hr in the same direction. How long does it take the faster car to overtake the slower one?.
Date posted: August 20, 2019. Answers (1)