JAMB UTME - Mathematics - 1979

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr

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

5 Richtige Antwort

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Lies die Unterrichtsnotiz zu Sequence And Series (WAEC)

Sequence And Series

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Frage 18 Bericht

PQ is parallel to RS. Calculate the value of x.

20^o

40^o Richtige Antwort

60^o

80^o

100^o

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Lies die Unterrichtsnotiz zu Indices (WAEC)

Indices

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Frage 19 Bericht

A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man

30^o

60^o Richtige Antwort

45^o

25^o

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Lies die Unterrichtsnotiz zu Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

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Frage 20 Bericht

If \(\sqrt{3^{\frac{1}{x}}}\) = \(\sqrt{9}\) then the value of x is:

\(\frac{3}{4}\)

\(\frac{4}{3}\)

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

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

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

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Lies die Unterrichtsnotiz zu Surds (radicals) (WAEC)

Surds (radicals)

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Frage 21 Bericht

For the set of numbers 2, 3, 5, 6, 7, 7, 8

The median is greater than the mode

the mean is greater than the mode

the mean is greater than the median

the median is equal to the mean

the mean is less than the median Richtige Antwort

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Frage 22 Bericht

(3.2)² - (1.8)² equals

7.0 Richtige Antwort

2.56

13.48

2.0

0.07

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Lies die Unterrichtsnotiz zu Indices (WAEC)

Indices

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Frage 23 Bericht

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

1.1m

1.2m

0.9m

1.3m Richtige Antwort

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Lies die Unterrichtsnotiz zu Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

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Frage 24 Bericht

If y = x² - 2x - 3, Find the least value of y and corresponding value of x

x = 3, y = 3

x = 1, y = -3

x = 4, y = 1

x = 1, y = -4 Richtige Antwort

x = 2, y = -3

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Lies die Unterrichtsnotiz zu Quadratic Equations (WAEC)

Quadratic Equations

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Frage 25 Bericht

(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?

\(\frac{5}{9}\)k² sq. units Richtige Antwort

\(\frac{1}{3}\)k² sq. units

\(\frac{8}{9}\)k² sq. units

\(\frac{7}{9}\)k² sq. units

\(\frac{2}{3}\)k² sq. u

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Lies die Unterrichtsnotiz zu Simple Operations On Algebraic Expressions (WAEC)

Simple Operations On Algebraic Expressions

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Frage 26 Bericht

The solution of the equation x² - 2x = 8 is

x = 0 or 2

x = -2 or 4 Richtige Antwort

x = 2

x = -4

x = 2 or 4

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Lies die Unterrichtsnotiz zu Quadratic Equations (WAEC)

Quadratic Equations

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Frage 27 Bericht

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

\(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)

\(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{39}\)

\(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)

\(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)

\(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\) Richtige Antwort

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Lies die Unterrichtsnotiz zu Number Bases (WAEC)

Lies die Unterrichtsnotiz zu Surds (radicals) (WAEC)

Number Bases

Surds (radicals)

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Frage 28 Bericht

Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)

\(\frac{x^2 + y^2} {(x - y)^2}\)

\(\frac{2y^3} {y^2 - x^2}\) Richtige Antwort

\(\frac{3x^2 + y^2} {(2x - y)^2}\)

\(\frac{x^2 + y^2} {(x^2 - y)}\)

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Lies die Unterrichtsnotiz zu Algebraic Expressions (WAEC)

Algebraic Expressions

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Frage 29 Bericht

If x³ - 12x - 16 = 0 has x = -2 as a solution then the equaion has

x = -4 as a solution also

3 roots all different Richtige Antwort

3 roots with two equal and the third different

3 roots all equal

only one root

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Lies die Unterrichtsnotiz zu Progression (JAMB)

Lies die Unterrichtsnotiz zu Quadratic Equations (WAEC)

Progression

Quadratic Equations

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Frage 30 Bericht

The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is

1.5

0.8

1.0

1.02

1.05 Richtige Antwort

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Lies die Unterrichtsnotiz zu Probability (WAEC)

Lies die Unterrichtsnotiz zu Linear Inequalities (WAEC)

Probability

Linear Inequalities

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Frage 31 Bericht

Multiply (3x + 5y + 4z) by (2x - 3y + z)

6x² + xy - 15y² + 4z² + 11xz - 7yz Richtige Antwort

6x² + 3xy - 15y² + 4z²

6x² + 3xy - y² + 4z²

6x² + 3xy - 15y + z²

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Lies die Unterrichtsnotiz zu Algebraic Expressions (WAEC)

Algebraic Expressions

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Frage 32 Bericht

Find the value of log₁₀\(\frac{1}{40}\), given that log₁₀4 = 0.6021

1.3979

2.3979

1.6021 Richtige Antwort

2.6021

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Lies die Unterrichtsnotiz zu Logarithms (WAEC)

Logarithms

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Frage 33 Bericht

The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?

\(\frac{59300}{625}\)

\(\frac{50900}{625}\)

200% Richtige Antwort

+100%

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Frage 34 Bericht

In base ten, the number 101101 (base 2) equals

45 Richtige Antwort

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Lies die Unterrichtsnotiz zu Number Bases (WAEC)

Lies die Unterrichtsnotiz zu Number Bases (JAMB)

Number Bases

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Frage 35 Bericht

Make x the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0

c = \(\frac{2d - 5 - b}{ad}\)

c = \(\frac{2d - 5 - abd}{ad}\) Richtige Antwort

c = \(\frac{2d - 5 - ab}{ad}\)

c = \(\frac{5 - 2d - b}{ad}\)

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Lies die Unterrichtsnotiz zu Change Of Subject Of A Formula/Relation (WAEC)

Lies die Unterrichtsnotiz zu Solution Of Linear Equations (WAEC)

Change Of Subject Of A Formula/Relation

Solution Of Linear Equations

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Frage 36 Bericht

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x - 1}}\)

5^{2x + 1}

5^{x + 1}

5^-5 Richtige Antwort

5²

5³

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Lies die Unterrichtsnotiz zu Number Bases (WAEC)

Lies die Unterrichtsnotiz zu Modular Arithmetic (WAEC)

Number Bases

Modular Arithmetic

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Frage 37 Bericht

The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?

17.72 meter/sec.

21.67 meters/sec

2.5 meter/sec.

20.45 meters/sec. Richtige Antwort

13.33 meter/sec.

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Lies die Unterrichtsnotiz zu Integration (JAMB)

Lies die Unterrichtsnotiz zu Simple Operations On Algebraic Expressions (WAEC)

Integration

Simple Operations On Algebraic Expressions

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Frage 38 Bericht

In \(\bigtriangleup\)PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to PQ. Find the length of RS

4cm

32cm

\(\frac{30}{7}\)

\(\frac{40}{7}\)

4.8cm Richtige Antwort

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Frage 39 Bericht

\((1.28 \times 10^{4}) \div (6.4 \times 10^{2})\) equals

2 x 10^-5

2 x 10^-1

2 x 10¹ Richtige Antwort

2 x 10^-4

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Lies die Unterrichtsnotiz zu Positive And Negative Integers, Rational Numbers (WAEC)

Lies die Unterrichtsnotiz zu Number Bases (WAEC)

Positive And Negative Integers, Rational Numbers

Number Bases

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Frage 40 Bericht

The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was

N5000

N1800

N12000 Richtige Antwort

N24000

N8000

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Lies die Unterrichtsnotiz zu Ratio, Proportions And Rates (WAEC)

Lies die Unterrichtsnotiz zu Financial Arithmetic (WAEC)

Ratio, Proportions And Rates

Financial Arithmetic

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Frage 41 Bericht

12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?

18 Richtige Antwort

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Lies die Unterrichtsnotiz zu Fractions, Decimals And Approximations (WAEC)

Lies die Unterrichtsnotiz zu Ratio, Proportions And Rates (WAEC)

Fractions, Decimals And Approximations

Ratio, Proportions And Rates

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Frage 42 Bericht

An arc of circle of radius 2cm subtends an angle of 60^o at the centre. Find the area of the sector

\(\frac{2 \pi}{3}\)cm² Richtige Antwort

\(\frac{\pi}{2}\)cm²

\(\frac{\pi}{3}\)cm²

\(\pi\)cm²

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Lies die Unterrichtsnotiz zu Circles (WAEC)

Circles

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Frage 43 Bericht

Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < \(\frac{x + 3}{x - 1}\) < 2?

(a), (b), (c)

(c)

None of the choices Richtige Antwort

All of the above

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Lies die Unterrichtsnotiz zu Linear Inequalities (WAEC)

Lies die Unterrichtsnotiz zu Inequalities (JAMB)

Linear Inequalities

Inequalities

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Frage 44 Bericht

The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)

\(\frac{31}{15}\)

\(\frac{31}{5}\)

\(\frac{129}{5}\)

\(\frac{43}{5}\) Richtige Antwort

\(\frac{16}{5}\)

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Lies die Unterrichtsnotiz zu Percentages (WAEC)

Lies die Unterrichtsnotiz zu Fractions, Decimals, Approximations And Percentage (JAMB)

Lies die Unterrichtsnotiz zu Surds (radicals) (WAEC)

Lies die Unterrichtsnotiz zu Financial Arithmetic (WAEC)

Percentages

Fractions, Decimals, Approximations And Percentage

Surds (radicals)

Financial Arithmetic

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Frage 45 Bericht

What is log₇(49^a) - log₁₀(0.01)?

\(\frac{49^a}{100}\)

\(\frac{a}{2}\) + 2

7^2a + 2

2a + 2 Richtige Antwort

\(\frac{2a}{2}\)

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Lies die Unterrichtsnotiz zu Logarithms (WAEC)

Logarithms

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Frage 46 Bericht

Find the value of (4^{\(\frac{1}{2}\)})⁶

8 Richtige Antwort

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Lies die Unterrichtsnotiz zu Indices (WAEC)

Indices

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Frage 47 Bericht

Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0

\(\frac{1}{x}\)

\(\frac{1 - x}{x}\)

\(\frac{1 + x}{x}\) Richtige Antwort

\(\frac{1}{x - 1}\)

\(\frac{-x - 1}{1}\)

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Lies die Unterrichtsnotiz zu Algebraic Expressions (WAEC)

Lies die Unterrichtsnotiz zu Algebraic Fractions (WAEC)

Algebraic Expressions

Algebraic Fractions

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Frage 48 Bericht

A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is

\(\frac{y(y - x)}{y - x}\) cedis

\(\frac{Yy - Xx)}{y - x}\) cedis

\(\frac{Y - Xy)}{y - x}\) cedis

\(\frac{Y - X}{y - x}\) cedis

\(\frac{Y - Xx}{y - x}\) cedis Richtige Antwort

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Lies die Unterrichtsnotiz zu Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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Frage 49 Bericht

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

\(\frac{44}{3}\)\(\pi\)cm³ Richtige Antwort

12\(\pi\)cm³

\(\frac{38}{3}\)\(\pi\)cm³

\(\frac{40}{3}\)\(\pi\)cm³

\(\frac{32}{33}\)\(\pi\)cm³

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Lies die Unterrichtsnotiz zu Volumes (WAEC)

Lies die Unterrichtsnotiz zu Areas (WAEC)

Volumes

Areas

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Frage 50 Bericht