JAMB UTME - Mathematics - 1979

Vraag 1 Verslag

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

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

c = \(\frac{2d - 5 - abd}{ad}\) Juist antwoord

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

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

Antwoorddetails

Lees lesnotitie op Change Of Subject Of A Formula/Relation (WAEC)

Lees lesnotitie op Solution Of Linear Equations (WAEC)

Change Of Subject Of A Formula/Relation

Solution Of Linear Equations

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Vraag 2 Verslag

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 Juist antwoord

Antwoorddetails

Lees lesnotitie op Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Bekijk antwoord

Vraag 3 Verslag

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

6x² + xy - 15y² + 4z² + 11xz - 7yz Juist antwoord

6x² + 3xy - 15y² + 4z²

6x² + 3xy - y² + 4z²

6x² + 3xy - 15y + z²

Antwoorddetails

Lees lesnotitie op Algebraic Expressions (WAEC)

Algebraic Expressions

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Vraag 4 Verslag

(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 Juist antwoord

\(\frac{1}{3}\)k² sq. units

\(\frac{8}{9}\)k² sq. units

\(\frac{7}{9}\)k² sq. units

\(\frac{2}{3}\)k² sq. u

Antwoorddetails

Lees lesnotitie op Simple Operations On Algebraic Expressions (WAEC)

Simple Operations On Algebraic Expressions

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Vraag 5 Verslag

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 Juist antwoord

Antwoorddetails

Bekijk antwoord

Vraag 6 Verslag

PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o find < QRS

75^o

37\(\frac{1}{2}\)^o

127\(\frac{1}{2}\)^o

105^o Juist antwoord

Antwoorddetails

Lees lesnotitie op Circles (WAEC)

Circles

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Vraag 7 Verslag

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

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

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

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

\(\frac{43}{5}\) Juist antwoord

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

Antwoorddetails

Lees lesnotitie op Percentages (WAEC)

Lees lesnotitie op Fractions, Decimals, Approximations And Percentage (JAMB)

Lees lesnotitie op Surds (radicals) (WAEC)

Lees lesnotitie op Financial Arithmetic (WAEC)

Percentages

Fractions, Decimals, Approximations And Percentage

Surds (radicals)

Financial Arithmetic

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Vraag 8 Verslag

Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)

\(\frac{1}{6}\) Juist antwoord

\(\frac{13}{20}\)

\(\frac{11}{30}\)

\(\frac{9}{4}\)

\(\frac{5}{3}\)

Antwoorddetails

Lees lesnotitie op Fractions, Decimals And Approximations (WAEC)

Lees lesnotitie op Algebraic Expressions (WAEC)

Lees lesnotitie op Ratio, Proportions And Rates (WAEC)

Fractions, Decimals And Approximations

Algebraic Expressions

Ratio, Proportions And Rates

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Vraag 9 Verslag

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. Juist antwoord

13.33 meter/sec.

Antwoorddetails

Lees lesnotitie op Integration (JAMB)

Lees lesnotitie op Simple Operations On Algebraic Expressions (WAEC)

Integration

Simple Operations On Algebraic Expressions

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Vraag 10 Verslag

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

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

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

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

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

Antwoorddetails

Lees lesnotitie op Algebraic Expressions (WAEC)

Algebraic Expressions

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Vraag 11 Verslag

In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is

125^o

120^o

115^o

110^o Juist antwoord

10^o

Antwoorddetails

Bekijk antwoord

Vraag 12 Verslag

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

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

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

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

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

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

Antwoorddetails

Lees lesnotitie op Surds (radicals) (WAEC)

Surds (radicals)

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Vraag 13 Verslag

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 Juist antwoord

x = 2, y = -3

Antwoorddetails

Lees lesnotitie op Quadratic Equations (WAEC)

Quadratic Equations

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Vraag 14 Verslag

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

2 x 10^-5

2 x 10^-1

2 x 10¹ Juist antwoord

2 x 10^-4

Antwoorddetails

Lees lesnotitie op Positive And Negative Integers, Rational Numbers (WAEC)

Lees lesnotitie op Number Bases (WAEC)

Positive And Negative Integers, Rational Numbers

Number Bases

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Vraag 15 Verslag

One of the following statements is wrong. Which is it?

If a triangle is equiangular then it is also equilateral

If a triangle is equilateral then it is also then it is also equiangular

If two triangles are similar then they are also congurent Juist antwoord

The sum of the interior angles of any triangle is 180 degrees

Antwoorddetails

Lees lesnotitie op Triangles And Polygons (WAEC)

Triangles And Polygons

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Vraag 16 Verslag

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 Juist antwoord

3 roots with two equal and the third different

3 roots all equal

only one root

Antwoorddetails

Lees lesnotitie op Progression (JAMB)

Lees lesnotitie op Quadratic Equations (WAEC)

Progression

Quadratic Equations

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Vraag 17 Verslag

A cylinder of height h and radius r is open at one end. Its surface area is

2\(\pi\)rh

\(\pi\)r²h

2\(\pi\)rh + \(\pi\)r² Juist antwoord

2\(\pi\)rh + 2\(\pi\)r²

Antwoorddetails

Lees lesnotitie op Volumes (WAEC)

Lees lesnotitie op Lengths And Perimeters (WAEC)

Volumes

Lengths And Perimeters

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Vraag 18 Verslag

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 Juist antwoord

45^o

25^o

Antwoorddetails

Lees lesnotitie op Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

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Vraag 19 Verslag

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 Juist antwoord

Antwoorddetails

Lees lesnotitie op Probability (WAEC)

Lees lesnotitie op Linear Inequalities (WAEC)

Probability

Linear Inequalities

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Vraag 20 Verslag

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2

x = -8, y = 1

x = -2, y = 4

x = \(\frac{-34}{27}\), y = \(\frac{73}{27}\) Juist antwoord

x = 7, y = -9

Antwoorddetails

Lees lesnotitie op Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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Vraag 21 Verslag

In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

3\(\sqrt{2}\)

2\(\sqrt{3}\) Juist antwoord

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

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

Antwoorddetails

Bekijk antwoord

Vraag 22 Verslag

In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

60cm²

65cm²

72cm²

144cm² Juist antwoord

156cm²

Antwoorddetails

Bekijk antwoord

Vraag 23 Verslag

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

x = 0 or 2

x = -2 or 4 Juist antwoord

x = 2

x = -4

x = 2 or 4

Antwoorddetails

Lees lesnotitie op Quadratic Equations (WAEC)

Quadratic Equations

Bekijk antwoord

Vraag 24 Verslag

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 Juist antwoord

Antwoorddetails

Lees lesnotitie op Sequence And Series (WAEC)

Sequence And Series

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Vraag 25 Verslag

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% Juist antwoord

+100%

Antwoorddetails

Bekijk antwoord

Vraag 26 Verslag

(3.2)² - (1.8)² equals

7.0 Juist antwoord

2.56

13.48

2.0

0.07

Antwoorddetails

Lees lesnotitie op Indices (WAEC)

Indices

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Vraag 27 Verslag

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 Juist antwoord

N24000

N8000

Antwoorddetails

Lees lesnotitie op Ratio, Proportions And Rates (WAEC)

Lees lesnotitie op Financial Arithmetic (WAEC)

Ratio, Proportions And Rates

Financial Arithmetic

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Vraag 28 Verslag

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

8 Juist antwoord

Antwoorddetails

Lees lesnotitie op Indices (WAEC)

Indices

Bekijk antwoord

Vraag 29 Verslag

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

\(\sqrt{2239cm}\)

\(\sqrt{2}\) x 2239cm

\(\frac{\sqrt{3}}{2}\) 2239cm

\(\sqrt{3}\) x 2239cm Juist antwoord

4478cm

Antwoorddetails

Lees lesnotitie op Euclidean Geometry (JAMB)

Euclidean Geometry

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Vraag 30 Verslag

If O is the centre of the circle, < POS equls

70^o

75^o

105^o

140^o

150^o Juist antwoord

Antwoorddetails

Lees lesnotitie op Circles (WAEC)

Lees lesnotitie op Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

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Vraag 31 Verslag

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 Juist antwoord

Antwoorddetails

Lees lesnotitie op Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

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Vraag 32 Verslag

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 Juist antwoord

Antwoorddetails

Bekijk antwoord

Vraag 33 Verslag

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

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

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

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

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

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

Antwoorddetails

Lees lesnotitie op Number Bases (WAEC)

Lees lesnotitie op Surds (radicals) (WAEC)

Number Bases

Surds (radicals)

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Vraag 34 Verslag

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

5^{2x + 1}

5^{x + 1}

5^-5 Juist antwoord

5²

5³

Antwoorddetails

Lees lesnotitie op Number Bases (WAEC)

Lees lesnotitie op Modular Arithmetic (WAEC)

Number Bases

Modular Arithmetic

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Vraag 35 Verslag

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

20^o

40^o Juist antwoord

60^o

80^o

100^o

Antwoorddetails

Lees lesnotitie op Indices (WAEC)

Indices

Bekijk antwoord

Vraag 36 Verslag

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 Juist antwoord

\(\frac{\pi}{2}\)cm²

\(\frac{\pi}{3}\)cm²

\(\pi\)cm²

Antwoorddetails

Lees lesnotitie op Circles (WAEC)

Circles

Bekijk antwoord

Vraag 37 Verslag

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 Juist antwoord

12\(\pi\)cm³

\(\frac{38}{3}\)\(\pi\)cm³

\(\frac{40}{3}\)\(\pi\)cm³

\(\frac{32}{33}\)\(\pi\)cm³

Antwoorddetails

Lees lesnotitie op Volumes (WAEC)

Lees lesnotitie op Areas (WAEC)

Volumes

Areas

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Vraag 38 Verslag

If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is

5544m²

1386m²

132m²

264m²

693m² Juist antwoord

Antwoorddetails

Lees lesnotitie op Coordinate Geometry (WAEC)

Lees lesnotitie op Angles (WAEC)

Coordinate Geometry

Angles

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Vraag 39 Verslag

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

45 Juist antwoord

Antwoorddetails

Lees lesnotitie op Number Bases (WAEC)

Lees lesnotitie op Number Bases (JAMB)

Number Bases

Bekijk antwoord

Vraag 40 Verslag

A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?

20 and 45

100 and 150

45 and 65

35 and 75

20 and 60 Juist antwoord

Antwoorddetails

Lees lesnotitie op Solution Of Linear Equations (WAEC)

Lees lesnotitie op Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

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Vraag 41 Verslag

In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20^o. What is the size of

70^o

90^o

80^o Juist antwoord

40^o

60^o

Antwoorddetails

Lees lesnotitie op Circles (WAEC)

Circles

Bekijk antwoord

Vraag 42 Verslag

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 Juist antwoord

All of the above

Antwoorddetails

Lees lesnotitie op Linear Inequalities (WAEC)

Lees lesnotitie op Inequalities (JAMB)

Linear Inequalities

Inequalities

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Vraag 43 Verslag

What is log₇(49^a) - log₁₀(0.01)?

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

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

7^2a + 2

2a + 2 Juist antwoord

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

Antwoorddetails

Lees lesnotitie op Logarithms (WAEC)

Logarithms

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Vraag 44 Verslag

After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?

N330

n396.75

N300 Juist antwoord

N293.25

N360

Antwoorddetails

Lees lesnotitie op Percentages (WAEC)

Lees lesnotitie op Positive And Negative Integers, Rational Numbers (WAEC)

Lees lesnotitie op Financial Arithmetic (WAEC)

Percentages

Positive And Negative Integers, Rational Numbers

Financial Arithmetic

Bekijk antwoord

Vraag 45 Verslag

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

1.3979

2.3979

1.6021 Juist antwoord

2.6021

Antwoorddetails

Lees lesnotitie op Logarithms (WAEC)

Logarithms

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Vraag 46 Verslag

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 Juist antwoord

Antwoorddetails

Lees lesnotitie op Fractions, Decimals And Approximations (WAEC)

Lees lesnotitie op Ratio, Proportions And Rates (WAEC)

Fractions, Decimals And Approximations

Ratio, Proportions And Rates

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Vraag 47 Verslag

Find x in the diagram below.

3\(\sqrt{3}\)

\(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\) Juist antwoord

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

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

Antwoorddetails

Lees lesnotitie op Modular Arithmetic (WAEC)

Lees lesnotitie op Surds (radicals) (WAEC)

Modular Arithmetic

Surds (radicals)

Bekijk antwoord

Vraag 48 Verslag

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

20sq.cm

100sq.cm

25sq.cm Juist antwoord

16sq.cm

36sq.cm

Antwoorddetails

Lees lesnotitie op Mensuration (JAMB)

Lees lesnotitie op Measures Of Dispersion (JAMB)

Lees lesnotitie op Lengths And Perimeters (WAEC)

Mensuration

Measures Of Dispersion

Lengths And Perimeters

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Vraag 49 Verslag

In the figure, PQ is parallel to SQ ; QS bisets < PSQ, < PQS is 65^o and < RPS is 20^o. What is the size of < PRS?

45^o

35^o

40^o

30^o Juist antwoord

42^o

Antwoorddetails

Bekijk antwoord

Vraag 50 Verslag

x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?

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

3\(\frac{3}{5}\)

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

1\(\frac{1}{5}\)

Antwoorddetails

Lees lesnotitie op Variation (WAEC)

Lees lesnotitie op Variation (JAMB)

Variation

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