- In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120°
a) Calculate the length of AB, correct to one decimal place
b) If BC is the base...(Solved)
In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120°
a) Calculate the length of AB, correct to one decimal place
b) If BC is the base of the triangle, calculate correct to one decimal place
i. The perpendicular height of the triangle
ii. The area of the triangle
iii. The size of angle ACB
Date posted: November 15, 2019. Answers (1)
- Solve the following simultaneous equations
X2 + y2 = 16
Y – 2X = 1(Solved)
Solve the following simultaneous equations
X2 + y2 = 16
Y – 2X = 1
Date posted: November 15, 2019. Answers (1)
- A straight line passes through the point (-3, -4) and is perpendicular to the line where equation is 3x + 2y = 11 and intersects...(Solved)
A straight line passes through the point (-3, -4) and is perpendicular to the line where equation is 3x + 2y = 11 and intersects the x-axis and y-axis at points A and B respectively. Find the length AB.
Date posted: November 15, 2019. Answers (1)
- Expand and simplify the expression (2x2 – 3y3)2 + 12x2y3.(Solved)
Expand and simplify the expression (2x2 – 3y3)2 + 12x2y3.
Date posted: November 15, 2019. Answers (1)
- Given that Cos(x -20)° = Sin(2x + 32)° and x is an acute angle, find Tan (x – 4)°.(Solved)
Given that Cos(x -20)° = Sin(2x + 32)° and x is an acute angle, find Tan (x – 4)°.
Date posted: November 15, 2019. Answers (1)
- Write down four inequalities which fully describe the un-shaded region R in the figure S below.(Solved)
Write down four inequalities which fully describe the un-shaded region R in the figure S below.
Date posted: November 15, 2019. Answers (1)
- Given that Log a = 0.30 and Log b = 0.48: find the value of Log b2/a.(Solved)
Given that Log a = 0.30 and Log b = 0.48: find the value of Log b2/a.
Date posted: November 15, 2019. Answers (1)
- Evaluate using square, cubes and reciprocal tables.(Solved)
Evaluate using square, cubes and reciprocal tables.
Date posted: November 15, 2019. Answers (1)
- Given that and that x is an integer, find the sum of the smallest and the largest values of x.(Solved)
Given that 
and that x is an integer, find the sum of the smallest and the largest values of x.
Date posted: November 15, 2019. Answers (1)
- Simplify(Solved)
Simplify 
Date posted: November 15, 2019. Answers (1)
- Without using a calculator, evaluate.(Solved)
Without using a calculator, evaluate.
Date posted: November 15, 2019. Answers (1)
- (a) Evaluate: 540936 – 726450 ÷ 3
b) Write the total value of the digit in thousands place of the result obtained in (a) above(Solved)
(a) Evaluate: 540936 – 726450 ÷ 3
b) Write the total value of the digit in thousands place of the result obtained in (a) above
Date posted: November 15, 2019. Answers (1)
- The data shows the ages of some biological students in Kasa university.
(a) On the grid provided draw a cumulative frequency curve for the data.
(b)...(Solved)
The data shows the ages of some biological students in Kasa university.
(a) On the grid provided draw a cumulative frequency curve for the data.
(b) Use the graph in (a) above to determine:
(i) The median
(ii) The quartile deviation.
(iii) The percentage of students whose age lies in the range of 24years to 30 years
Date posted: November 15, 2019. Answers (1)
- The acceleration of a body moving along a straight line is (2t – 1)m/s2 and its velocity is vm/s after t seconds.
(i) If the initial...(Solved)
The acceleration of a body moving along a straight line is (2t – 1)m/s2 and its velocity is vm/s after t seconds.
(i) If the initial velocity of the body is 4m/s , express v in terms of t .
(ii) Find the velocity of the body after 4 seconds
(iii) Calculate the time taken to attain the maximum velocity.
(iv) The distance covered by the body to attain maximum velocity.
Date posted: November 15, 2019. Answers (1)
- A varies directly as M and inversely as the square root of Q. Given that A = 280,and M = 40 when Q = 16:
(a)...(Solved)
A varies directly as M and inversely as the square root of Q. Given that A = 280,and M = 40 when Q = 16:
(a) find A when Q = 9 and M =36
(b) Find the value of M when A = 400 and Q = 0.64.
(c) if Q is increased by 26%band M decreased by 20%, find the percentage change in A.
Date posted: November 15, 2019. Answers (1)
- (a) Using mid - ordinate rule, estimate the area under the curve y = x2 – 2, using six strips between x =2 , x...(Solved)
(a) Using mid - ordinate rule, estimate the area under the curve y = x2 – 2, using six strips between x =2 , x = 8 and x-axis
(b) (i) Use integration to determine the exact area under the curve.
(ii) find the percentage error in calculating the area using the mid – ordinate rule.
Date posted: November 15, 2019. Answers (1)
- The equation of a curve is given by y = 2+ 2cos theta(a) Complete the table below for the function y = 2 + 2cos...(Solved)
The equation of a curve is given by y = 2+ 2cos theta
(a) Complete the table below for the function y = 2 + 2cos theta
(b) (i) On the grid draw the graph of y = 2 + 2cos theta for the range given in the table above.
(ii) State the amplitude and the period of the curve.
(c) On the same grid , plot the graph of y = tan theta for the range 900 = ? = 2700
(d) Using the graphs drawn solve the equation 2 + 2 cos theta = tan for 900 = ? = 2700
Date posted: November 15, 2019. Answers (1)
- The 1st , 7th, and 25th terms of an arithmetic progression are the first three consecutive terms of a geometrical progression. The 20th term of...(Solved)
The 1st , 7th, and 25th terms of an arithmetic progression are the first three consecutive terms of a geometrical progression. The 20th term of the arithmetic progression is 22. Find:
1.(i) The first term and the common difference of the arithmetic progression.
(ii) The sum of the first 20 terms of the arithmetic progression.
2.(i) The 7th term of the geometric progression.
(ii) the sum of the first six terms of them geometric progression.
Date posted: November 15, 2019. Answers (1)
- ABCDEFGH is a cube of 12cm.
(a) Find:
(i) AC
(ii) EC
(b) The angle between EC and the plane ABCD.
(c) The angle between the plane...(Solved)
ABCDEFGH is a cube of 12cm.
(a) Find:
(i) AC
(ii) EC
(b) The angle between EC and the plane ABCD.
(c) The angle between the plane EBCH and BCGF
Date posted: November 15, 2019. Answers (1)
- Two circles of radii 4cm and 8cm are positioned in such way that theirs centres are 15cm apart as shown below. Find x.(Solved)
Two circles of radii 4cm and 8cm are positioned in such way that theirs centres are 15cm apart as shown below. Find x.
Date posted: November 15, 2019. Answers (1)