NECO SSCE - General Mathematics - 2008

x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?

Awọn alaye Idahun

The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.

Awọn alaye Idahun

The graph of cumulative frequency distribution is known as

Awọn alaye Idahun

If 5x - 3 = 4x - 7, what is the value 6x?

Awọn alaye Idahun

If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?

Awọn alaye Idahun

Find the value of log\(_{\sqrt{3}}\) 81

Awọn alaye Idahun

The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes

Awọn alaye Idahun

If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.

Awọn alaye Idahun

The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test?

Awọn alaye Idahun

2 bags of sugar at N_x per bag are mixed with 3 bags of sugar at N_y per bag. What is the cost in N of the mixture per bag?

Awọn alaye Idahun

If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).

Awọn alaye Idahun

If y + \(\frac{1}{y}\) = 9, evaluate y² + \(\frac{1}{y^2}\)

Awọn alaye Idahun

Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

Awọn alaye Idahun

Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7

Awọn alaye Idahun

The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?

Awọn alaye Idahun

Increase 135 in the ratio 3:5

Awọn alaye Idahun

Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number

Awọn alaye Idahun

The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone

Awọn alaye Idahun

A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = \(\frac{22}{7}\))

Awọn alaye Idahun

Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y)

Awọn alaye Idahun

A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?

Awọn alaye Idahun

A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?

Awọn alaye Idahun

If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula

Awọn alaye Idahun

Given that x² + y² + k = 60 and x = \(\sqrt{10}\) when y = 4 , find the value of k.

Awọn alaye Idahun

x2 ${}^2$ + y2 ${}^2$ + k = 60

(?10)2 ${}^2$ + (4)2 ${}^2$ + k = 60

k + 10 + 16 = 60

k =  60 - 26

k = 34

Which of the following angular inequalities defines an obtuse angle?

Awọn alaye Idahun

In proving the congruence of two triangles, which of the following is not important?

Awọn alaye Idahun

Find y if sin y = cos 48°

Awọn alaye Idahun

The median of a distribution can be estimated from

Awọn alaye Idahun

P = {x:(x - 2)(x + 3) (x - 4)(x + 5) = 0}. The elements in P are

Awọn alaye Idahun

A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?

Awọn alaye Idahun

which of the following properties is/are common to parallelograms and rectangles?
I. all angles are right angles
II. the diagonals are equals.
III. the opposite sides are equal and parallel.

Awọn alaye Idahun

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

Awọn alaye Idahun

Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?

Awọn alaye Idahun

Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°

Awọn alaye Idahun

Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))

Awọn alaye Idahun

Simplify the expression:  \(Log_{4}16\) +  \(Log_{3}27\) + \(Log_{8}4096\) 

Awọn alaye Idahun

T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)

Awọn alaye Idahun

Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.

Awọn alaye Idahun

Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

Awọn alaye Idahun