J maths 16

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

The bar chart above shows the marks obtained by students in a mathematics test.
How many students in all took the test?

Factorize k² - 2kp + p².

Make \(S\) the subject of the formula:

\(p = s + \dfrac{sm^2}{nr}\)

If \( N = \dfrac{P}{2} \left(\dfrac{T_1 - T_2}{T_1}\right) \),
find \(P\) when \(N = 12\), \(T_1 = 27\) and \(T_2 = 24\).

The table below shows the frequency distribution of marks obtained by a group of students.
If the total mark is 48, find the value of \(y\).

The nth term of the sequence 3, 9, 27, 81.... is

Rationalize (√6−√4) / (√6+√4)

If the mean of 4, y, 8 and 10 is 7. Find y?

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

Evaluate \(\frac{27^{\tfrac{1}{3}} - 8^{\tfrac{2}{3}}}{16^{\tfrac{2}{4}} \times 2}\)
(The fractions are on exponential.)

The venn diagram below shows a class of 40 students with the games they play. How many of the students play two games only?

(0.8×0.43×0.031)/(0.05×0.72×0.021) correct to four significant figures.

If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

An arc subtends an angle of 30 degrees at the centre of a circle radius 12cm. Calculate the length of the arc.

The sum of the interior angles of a polygon is a given as 1080 degrees. Find the number of the sides of the polygon.

OGIVE is constructed using

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140 degrees, find, correct to the nearest cm, the length of the chord MN.

In the cyclic quadrilateral above . Find <PRO

An arc of the length 16πcm subtends an angle of 80 degrees at the centre of the circle. Find the radius of the circle.

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

Calculate the perimeter of a sector of a circle of radius 9cm and angle 36 degrees.

From the cyclic quadrilateral above, find < TSV

Simplify \(1 - \left(\tfrac{1}{7} \times 3\tfrac{1}{2}\right) \div \tfrac{3}{4}\)

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45 degrees

Simplify \(\dfrac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form.

Evaluate \(\int (\sin x - 5x^2)\,dx\)

Find the derivative of \(y = \left(\tfrac{1}{3}x + 6\right)^2\)

From the diagram above. Find the fraction of the shaded position?

Evaluate \(\int_{0}^{\tfrac{\pi}{2}} \sin x \, dx\)

The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics?

If \(x_{10} = 23_{5}\). Find \(x\).

In the diagram above, \( l_{1} \) is parallel to \( l_{2} \). Find the value of \(\angle PMT\).

From the diagram above, find the required roots/region of x.

From the diagram above, Find the value of < ROP

The curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base π = 22/7

Find \(\dfrac{dy}{dx}\). If \(y = 3x^3 + 2x^2 + 3x + 1\)

If \(y = 2x^3 + 6x^2 + 6x + 1\), Find \(\dfrac{dy}{dx}\)

Evaluate (12.02×20.06) / (26.04×60.06), correct to three significant figures.

The table below shows the scores and their frequencies:

From the table above, find the median.

∫(cos4x + sin3x)dx

Find \(\dfrac{dy}{dx}\), if \(y = \dfrac{2}{3}x^3 - \dfrac{4}{x}\)

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q∩T?

Solve for x and y respectively
3x - 5y = 9
6x - 4y = 12

Given U = {x is a positive integer less than 15} and P = {x is even number from 1 to 14}. Find the compliment.

If the 2nd term of a G.P is 8/9 and the 6th term is 4(½). Find the common ratio.

Determine the mean score of the student that took the mathematics test?