Evaluate and leave your answer to three significant figures
If and , find correct to the nearest whole number
Express and express your answer in standard form
The first term of a Geometric Progression is 6. If its common ratio is , find the 5th term
The first and last terms of an Arithmetic Progression are 6 and 153 respectively. If there are 50 terms in the sequence, find its common difference
Given that 244x = 10224, what is the positive value of x?
If 30145 = 21125 + y5, find the value of y
A shareholder bought shares worth #100,000.00 on ordinary share at #2.00 each. If a dividend of 15 kobo per share is declared, how much dividend was received?
Find the future value of an ordinary annuity of #500.00 paid yearly for 4 years at 10% per annum.
Find the determinant of the matrix
Find the sum of the first 40 even positive integers.
The first term of an Arithmetic Progression is -3. If the sixth term is 22, find the mean of the common difference and the first term
Find the perimeter of a sector of a circle with radius 7cm which subtends an angle of 1800 at the centre of the circle
Victoria went for a doctor's appointment on Monday. If her next appointment is 45 days after, which day of the week will it be?
Solve the inequality
Expand (2a + b)2 - (b - 2a)2.
If 4x2 - 12x + c is a perfect square, find the value of c.
If (a - 3) is one of the factors of a2 + 14a - 51, find the other factor
(a - 11)
(a + 17)
(a - 17)
(a + 48)
(a - 48)
Find the gradient of a straight line joining the points (-3, 0) and (0, 5).
A quadratic equation whose roots are and is
16x2 + 2x - 15 = 0
16x2 - 2x + 15 = 0
16x2 - 4x - 15 = 0
16x2 - 8x + 15 = 0
16x2 + 8x - 15 = 0
If P varies directly as and P = 6 when Q = 81, find the value of P when
What is the maximum value of y?
What is the value of y when x = 0 ?
Let p: I study hard
q: I pass physics
r: I am happy
Translate into statement
I am unhappy but I pass physics
I pass physics and I am happy
If i do not study hard, then I pass physics and I am happy
If I study hard, then I pass physics and I am happy
If I study hard, then I pass physics or I am happy
Let p : I like bread with egg.
q : I like ginger in tea
Translate "I like ginger in tea but not bread with egg" into symbol.
(2x - 1) (x + 5) = 2x2 - mx - 5, find the value of m.
Find the midpoint of a line joining the points M(4, 0) and N(3, p)
Find the equation of a line with gradient 3, passing through (1, 4)
3x - y = 1
3x - y = -2
y - 3x = 1
y - 3x = -4
y - 3x = 3
Solve the simultaneous equations:
Given that sin = , find the value of
Find the value of x in the figure below
In the figure below, is isosceles. Calculate
In the figure above, if the area of the square is 162cm2, calculate the radius of the circle.
Calculate the area of the shaded region in the figure below.
In the figure above, AOB is a diameter. Find the angle marked x
In the figure below, AD is a chord of a circle centred at O. Find
In the figure below, ABCD is a cyclic quadrilateral and O is the centre of the circle. Find
Calculate nearest to the nearest degree, the parallel of latitude in the southern hemisphere along which a journey of 320km makes a change of 210 in longitude.
(Take and R = 6400km)
The positions of two cities M and N are (140N, 300E) and (720N, 300E) respectively. How far is city N from M ?
(Take and R = 6400km)
Calculate the volume of a sphere with radius 6cm (Take = 3.14)
What is the value of x if the gradient of the line joining (-2, x) and (x, 3) is 1/4
An arc of a circle of radius 6cm subtends an angle of 450 at the centre of the circle. Find the length of the arc in terms of
Find the distance between the points C(3,3) and D(-1,5)
The bearing of a town Q from a town P is 0450. Find the bearing of P from Q
Find the mean of , , , , , , , and
Find the mode of the data below.
A farmland of 160 acres was used in planting various fruits as shown below
Use the information above to answer questions 51 to 53
Find the angle subtended by the sector for pineapples
What is the percentage of farmland used for planting oranges?
How many acres of land is used in planting guava?
Find the mean of the data below.
The probabilities of two independent events P and Q occurring are and respectively. Find the probability that none of the events will occur.
The table below shows the age distribution of students in a college. Use the information to answer questions 56 and 57
Find the probability that a student selected at random is at least 17 years old.
Find the probability that a student selected at random is either 17 or 18 years old.
x3 - x2 + x + c
x3 + x2 + x + c
3x3 - 2x2 + 2x + c
3x3 + 2x2 + 2x + c
18x3 - 4x2 + 2x + c
Find the derivative of ***
In(4x + 2) + c