NECO SSCE - General Mathematics - 2002

The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m³ (leave your answer in standard form)?

3.9 × 10^-1m³

3.9 × 10^-2m³

3.9 × 10^-3m³

3.9 × 10^-4m³

3.9 × 10^-5m³

Maelezo ya Majibu

Tazama Jibu

Swali 10 Ripoti

What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

312cm\(^2\)

96cm\(^2\)

36cm\(^2\)

24cm\(^2\)

12cm\(^2\)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Volumes (WAEC)

Soma maelezo ya somo kwenye Areas (WAEC)

Volumes

Areas

Tazama Jibu

Swali 11 Ripoti

A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is

x² + 3x + 4 = 0

8x² + 10x + 3 = 0

8x² +12x – 3 = 0

8x² + 10x-3.= 0

8x² + 12x + 3 = 0

Maelezo ya Majibu

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Quadratic Equations

Tazama Jibu

Swali 12 Ripoti

The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

1.52m

1.53m

1.54

1.55m

1.56m

Maelezo ya Majibu

Tazama Jibu

Swali 13 Ripoti

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

1.995 × 10³

1.95 × 10²

1.95 × 10¹

1.95 × 10^-2

1.95 × 10^-3

Maelezo ya Majibu

Soma maelezo ya somo kwenye Number Bases (WAEC)

Soma maelezo ya somo kwenye Number Bases (JAMB)

Number Bases

Tazama Jibu

Swali 14 Ripoti

If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?

\(\frac{1}{\sqrt{3}}\)

\(\frac{2}{\sqrt{3}}\)

\(\frac{1}{2}\)

\(\frac{\sqrt{3}}{2}\)

\(\sqrt{3}\)

Maelezo ya Majibu

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

Sine, Cosine And Tangent Of An Angle

Tazama Jibu

Swali 15 Ripoti

The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

\(\frac{27}{125}\)

\(\frac{9}{25}\)

\(\frac{72}{125}\)

\(\frac{76}{125}\)

\(\frac{81}{125}\)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Probability

Tazama Jibu

Swali 16 Ripoti

What must be added to 3x² - 5x to make it a perfect square?

\(\frac{36}{25}\)

\(\frac{25}{36}\)

-\(\frac{25}{36}\)

-\(\frac{5}{6}\)

-\(\frac{6}{5}\)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Simple Operations On Algebraic Expressions (WAEC)

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Simple Operations On Algebraic Expressions

Quadratic Equations

Tazama Jibu

Swali 17 Ripoti

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

T = (a²s² – 1)

T = (a²s²– 1) ÷ a

T = a ÷ (a² - s²)

T = a ÷ (a²s² – 1)

T = (as – 1)²

Maelezo ya Majibu

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Algebraic Expressions

Tazama Jibu

Swali 18 Ripoti

Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

7cm

15cm

22cm

26cm

30cm

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Number Bases (JAMB)

Soma maelezo ya somo kwenye Triangles And Polygons (WAEC)

Circles

Number Bases

Triangles And Polygons

Tazama Jibu

Swali 19 Ripoti

Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

\(\frac{17}{30}\)

\(\frac{65}{102}\)

\(\frac{25}{34}\)

\(\frac{102}{75}\)

\(\frac{34}{25}\)

Maelezo ya Majibu

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

Solution Of Linear Equations

Tazama Jibu

Swali 20 Ripoti

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

60m

60\(\sqrt{3}\)m

80\(\sqrt{3}\)m

120\(\sqrt{3}\)m

240m

Maelezo ya Majibu

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

Angles Of Elevation And Depression

Tazama Jibu

Swali 21 Ripoti

If sin 30° = 0.5, what is the cosine of its complement?

-0.866

-0.5

0.0.5

0.866

Maelezo ya Majibu

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

Soma maelezo ya somo kwenye Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

Tazama Jibu

Swali 22 Ripoti

Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x² - 1)]

- 3x ÷ (x² - 1)

- x ÷ (x² -1)

x ÷ (x² - 1)

(x + 1) ÷ (x² - 1)

(x + 4) ÷ (x² - 1)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Algebraic Fractions (WAEC)

Algebraic Fractions

Tazama Jibu

Swali 23 Ripoti

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

20.64m

29.48m

44.49m

49.55m

62.76m

Maelezo ya Majibu

Soma maelezo ya somo kwenye Bearings (WAEC)

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

Bearings

Angles Of Elevation And Depression

Tazama Jibu

Swali 24 Ripoti

Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?

N45.00

N42.50

N40.00

N35.50

N25.80

Maelezo ya Majibu

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

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

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

Sine, Cosine And Tangent Of An Angle

Positive And Negative Integers, Rational Numbers

Ratio, Proportions And Rates

Tazama Jibu

Swali 25 Ripoti

A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position?

3.0km

12.04km

17.2km

34.18km

36.61km

Maelezo ya Majibu

Soma maelezo ya somo kwenye Bearings (WAEC)

Soma maelezo ya somo kwenye Angles (WAEC)

Bearings

Angles

Tazama Jibu

Swali 26 Ripoti

Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

x > 3

x ≥ 3

x ≤ 3

x < 3

x ≤ -3

Maelezo ya Majibu

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

Soma maelezo ya somo kwenye Inequalities (JAMB)

Soma maelezo ya somo kwenye Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

Tazama Jibu

Swali 27 Ripoti

A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

3cm

6cm

9cm

12cm

27cm

Maelezo ya Majibu

Tazama Jibu

Swali 28 Ripoti

When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?

N4800.00

N400

N1800.00

N1500.00

N960.00

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 29 Ripoti

A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

\(\frac{4}{39}\)

\(\frac{4}{13}\)

\(\frac{5}{13}\)

\(\frac{6}{13}\)

\(\frac{9}{13}\)

Maelezo ya Majibu

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

Surds (radicals)

Tazama Jibu

Swali 30 Ripoti

One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?

\(\frac{2}{3}\)

\(\frac{3}{8}\)

\(\frac{7}{24}\)

\(\frac{1}{4}\)

\(\frac{1}{24}\)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

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

Probability

Surds (radicals)

Tazama Jibu

Swali 31 Ripoti