NECO SSCE - General Mathematics - 2008

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.

I and II

I and III

II and III

III

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Triangles And Polygons (WAEC)

Circles

Triangles And Polygons

Tazama Jibu

Swali 8 Ripoti

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.

Maelezo ya Majibu

Soma maelezo ya somo kwenye Variation (JAMB)

Soma maelezo ya somo kwenye Areas (WAEC)

Variation

Areas

Tazama Jibu

Swali 9 Ripoti

The median of a distribution can be estimated from

Barchart

Cumulative frequency curve

Frequency polygon

Pictorial

Pie chart

Maelezo ya Majibu

Soma maelezo ya somo kwenye Representation Of Data (JAMB)

Soma maelezo ya somo kwenye Permutation And Combination (JAMB)

Soma maelezo ya somo kwenye Measures Of Location (JAMB)

Representation Of Data

Permutation And Combination

Measures Of Location

Tazama Jibu

Swali 10 Ripoti

Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

$\frac{8}{9}$

$\frac{1}{4}$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Indices (WAEC)

Indices

Tazama Jibu

Swali 11 Ripoti

The graph of cumulative frequency distribution is known as

an ogive

a histogram

a frequency polygon

relative frequency

none

Maelezo ya Majibu

Soma maelezo ya somo kwenye Euclidean Geometry (JAMB)

Euclidean Geometry

Tazama Jibu

Swali 12 Ripoti

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

-5,-2, 3, 4

-5, -3, 2, 4

-5, -3, -2,4

-4, -3, -2, 5

2, 3, 4, 5

Maelezo ya Majibu

Tazama Jibu

Swali 13 Ripoti

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

two sides and the included angles

two angles and a side

three sides

three angles

right angle, hypotenuse and another side

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Indices (WAEC)

Soma maelezo ya somo kwenye Angles And Intercepts On Parallel Lines (WAEC)

Soma maelezo ya somo kwenye Triangles And Polygons (WAEC)

Circles

Indices

Angles And Intercepts On Parallel Lines

Triangles And Polygons

Tazama Jibu

Swali 14 Ripoti

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

(44 + 3$\sqrt{3}$) ÷ 83

(44 + 2$\sqrt{3}$) ÷ 83

(44 - 3$\sqrt{3}$) ÷ 83

(44 - 4$\sqrt{3}$) ÷ 83

(44 - 2$\sqrt{3}$) ÷ 83

Maelezo ya Majibu

Soma maelezo ya somo kwenye Surds (radicals) (WAEC)

Surds (radicals)

Tazama Jibu

Swali 15 Ripoti

Find y if sin y = cos 48°

21°

24°

42°

48°

102°

Maelezo ya Majibu

Soma maelezo ya somo kwenye Sine, Cosine And Tangent Of An Angle (WAEC)

Soma maelezo ya somo kwenye Circles (WAEC)

Sine, Cosine And Tangent Of An Angle

Circles

Tazama Jibu

Swali 16 Ripoti

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?

2.5

6.25

6.52

7.5

Maelezo ya Majibu

Tazama Jibu

Swali 17 Ripoti

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

271.5cm²

135.8cm²

96.0cm²

48.0cm²

33.9cm²

Maelezo ya Majibu

Soma maelezo ya somo kwenye Areas (WAEC)

Soma maelezo ya somo kwenye Angles (WAEC)

Areas

Angles

Tazama Jibu

Swali 18 Ripoti

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

N750.00

N2,500.00

N2,538.00

N3,288.00

N4,038.00

Maelezo ya Majibu

Soma maelezo ya somo kwenye Representation Of Data (JAMB)

Soma maelezo ya somo kwenye Modular Arithmetic (WAEC)

Soma maelezo ya somo kwenye Financial Arithmetic (WAEC)

Representation Of Data

Modular Arithmetic

Financial Arithmetic

Tazama Jibu

Swali 19 Ripoti

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

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Number Bases (WAEC)

Soma maelezo ya somo kwenye Areas (WAEC)

Solution Of Linear Equations

Number Bases

Areas

Tazama Jibu

Swali 20 Ripoti

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

0.015

39.81

Maelezo ya Majibu

Tazama Jibu

Swali 21 Ripoti

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?

$\frac{(2x + 3y)}{5}$

$\frac{(x + y)}{2}$

$\frac{x}{2} +\frac{y}{3}$

$\frac{(x + y)}{5}$

$\frac{(3x + 2y)}{5}$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Tazama Jibu

Swali 22 Ripoti

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?

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{4}{15}$

$\frac{1}{5}$

$\frac{2}{15}$

Maelezo ya Majibu

Tazama Jibu

Swali 23 Ripoti

Which of the following angular inequalities defines an obtuse angle?

0° < x < 90°

0° ≤ x > 180°

90° < x < 180°

90° ≤ x < 180°

90° > x < 180°

Maelezo ya Majibu

Soma maelezo ya somo kwenye Linear Inequalities (WAEC)

Linear Inequalities

Tazama Jibu

Swali 24 Ripoti

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

1.5

6.3

6.30

12.6

Maelezo ya Majibu

Soma maelezo ya somo kwenye Variation (WAEC)

Soma maelezo ya somo kwenye Progression (JAMB)

Variation

Progression

Tazama Jibu

Swali 25 Ripoti

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?

N2,500.00

N5,000.00

N12,500.00

N27,500.00

N125,000.00

Maelezo ya Majibu

Soma maelezo ya somo kwenye Ratio, Proportions And Rates (WAEC)

Soma maelezo ya somo kwenye Areas (WAEC)

Ratio, Proportions And Rates

Areas

Tazama Jibu

Swali 26 Ripoti

Increase 135 in the ratio 3:5

225

216

143

140

Maelezo ya Majibu

Soma maelezo ya somo kwenye Modular Arithmetic (WAEC)

Soma maelezo ya somo kwenye Ratio, Proportions And Rates (WAEC)

Modular Arithmetic

Ratio, Proportions And Rates

Tazama Jibu

Swali 27 Ripoti

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?

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Soma maelezo ya somo kwenye Algebraic Fractions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Algebraic Fractions

Tazama Jibu

Swali 28 Ripoti

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

14.1cm²

95.5cm²

190.9cm²

381.9cm²

763.7cm²

Maelezo ya Majibu

Tazama Jibu

Swali 29 Ripoti

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

(2A – 2bh) ÷ b

(2A – bh) ÷ h

(2A – bh) ÷ b

(A – 2bh) ÷ h

(2A – h) ÷ bh

Maelezo ya Majibu

Tazama Jibu

Swali 30 Ripoti

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

-34

-56

Maelezo ya Majibu

x $^{2}$ + y $^{2}$ + k = 60

(?10) $^{2}$ + (4) $^{2}$ + k = 60

k + 10 + 16 = 60

k = 60 - 26

k = 34

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Quadratic Equations

Tazama Jibu

Swali 31 Ripoti

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

-4

-24

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Tazama Jibu

Swali 32 Ripoti

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

$\frac{1}{10}$

$\frac{2}{5}$

$\frac{1}{2}$

$\frac{3}{5}$

$\frac{9}{10}$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Probability

Tazama Jibu

Swali 33 Ripoti

Simplify the expression: $Log_{4}16$ + $Log_{3}27$ + $Log_{8}4096$

-9

$\frac{1}{3}$

$\frac{1}{9}$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Positive And Negative Integers, Rational Numbers (WAEC)

Soma maelezo ya somo kwenye Logarithms (WAEC)

Positive And Negative Integers, Rational Numbers

Logarithms

Tazama Jibu

Swali 34 Ripoti

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

-10

-12

Maelezo ya Majibu

Tazama Jibu

Swali 35 Ripoti

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?

9.60m

6.06m

2.54m

2.53m

2.00m

Maelezo ya Majibu

Soma maelezo ya somo kwenye Loci (WAEC)

Soma maelezo ya somo kwenye Angles Of Elevation And Depression (WAEC)

Soma maelezo ya somo kwenye Coordinate Geometry (WAEC)

Loci

Angles Of Elevation And Depression

Coordinate Geometry