NECO SSCE - General Mathematics - 2008

Swali 1 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 2 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 3 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 4 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 5 Ripoti

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.

1, 2

2, 2

2, 3

3, 2

3,3

Maelezo ya Majibu

Soma maelezo ya somo kwenye Sequence And Series (WAEC)

Sequence And Series

Tazama Jibu

Swali 6 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 7 Ripoti

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

9a + 16a²

9a – 16a²

3a + 16a²

3a - 16a²

a - 16a²

Maelezo ya Majibu

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

Surds (radicals)

Tazama Jibu

Swali 8 Ripoti

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

262.5

945

970

995

1822.9

Maelezo ya Majibu

Soma maelezo ya somo kwenye Fractions, Decimals And Approximations (WAEC)

Soma maelezo ya somo kwenye Financial Arithmetic (WAEC)

Fractions, Decimals And Approximations

Financial Arithmetic

Tazama Jibu

Swali 9 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 10 Ripoti

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

-10

-12

Maelezo ya Majibu

Tazama Jibu

Swali 11 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 12 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

Tazama Jibu

Swali 13 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 14 Ripoti

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

1 : 04

3 : 07

9 : 49

0.086111111

27 : 343

Maelezo ya Majibu

Soma maelezo ya somo kwenye Volumes (WAEC)

Soma maelezo ya somo kwenye Modular Arithmetic (WAEC)

Volumes

Modular Arithmetic

Tazama Jibu

Swali 15 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 16 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 17 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 18 Ripoti

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

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Soma maelezo ya somo kwenye Measures Of Dispersion (JAMB)

Probability

Measures Of Dispersion

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

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

3x² + 11x + 21 = 0

2x² + 11x + 21 = 0

2x² - 11x – 21 = 0

3x² - 11x - 21 = 0

x² - 11x – 21 = 0

Maelezo ya Majibu

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Quadratic Equations

Tazama Jibu

Swali 21 Ripoti

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

7cm

22cm

28cm

49cm

154cm

Maelezo ya Majibu

Soma maelezo ya somo kwenye Modular Arithmetic (WAEC)

Soma maelezo ya somo kwenye Financial Arithmetic (WAEC)

Modular Arithmetic

Financial Arithmetic

Tazama Jibu

Swali 22 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 23 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 24 Ripoti

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?

10cm

6cm

5cm

3cm

1cm

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Circles

Tazama Jibu

Swali 25 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 26 Ripoti

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