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Mathematics Past Questions

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45 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

45 questions

Question 1 of 20 45 total questions

Question 1

jamb 1984

XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.

A5\(\sqrt{3}\)cm

B3\(\sqrt{5}\)cm

C3\(\sqrt{3}\)cm

D5cm

E6cm

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Question 2

jamb 1984

In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is

A67\(\frac{1}{2}\)^o

B22\(\frac{1}{2}\)^o

C33\(\frac{1}{2}\)^o

D45^o

E90^o

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Question 3

jamb 1984

In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP

A4cm

B16cm

C9cm

D14cm

EImpossible, insufficient data

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Question 4

jamb 1984

Find the x co-ordinates of the points of intersection of the two equations in the graph

A1, 1

B0, 4

C0,0

D4, 0

E4, 9

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Question 5

jamb 1984

In the figure, determine the angle marked y

A66^o

B110^o

C26^o

D70^o

E44^o

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Question 6

jamb 1984

In the figure, QRS is a line, PSQ = 35o, SPR = 30o and O is the centre of the circle. Find OQP.

A35^o

B30^o

C130^o

D25^o

E65^o

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Question 7

jamb 1984

In the figure, PQRSTW is a regular hexagon. QS intersects RT at V. Calculate TVS

A60^o

B90^o

C120^o

D30^o

E80^o

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Question 8

jamb 1984

Find the area of the shaded portion of the semicircular figure.

A\(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)

B\(\frac{r^2}{4}(2 \pi - 3 \sqrt{3})\)

C\(\frac{1}{2}r^2 \pi\)

D\(\frac{1}{8}r^2 \sqrt{3}\)

E\(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)

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Question 9

jamb 1984

Using \(\bigtriangleup\)XYZ in the figure, find XYZ

A29^o

B31^o

C31^o 20'

D31^o 18'

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Question 10

jamb 1984

What is the volume of this regular three dimensional figure?

A160cm²

B48cm²

C120cm²

D40cm²

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Question 11

jamb 1984

Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below
\(\begin{array}{c|c} \text{Class boundary in cm} & \text{frequency} & \\\hline 3.35 - 3.45 & 3\\ 3.45 - 3.55 & 6\\ 3.55 - 3.65 & 7\\ 3.65 - 3.75 & 4\end{array}\)
What is the mean diameter of the copper spheres?

A3.40cm

B3.58cm

C3.56cm

D3.62cm

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Question 12

jamb 1984

If sin \(\theta\) = \(\frac{x}{y}\) and 0^o < 90^o then find \(\frac{1}{tan\theta}\)

A\(\frac{x}{\sqrt{y^2 - x^2}}\)

B\(\frac{y}{x}\)

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

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

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Question 13

jamb 1984

The larger value of y for which (y - 1)² = 4y - 7 is

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Question 14

jamb 1984

Two fair dice are rolled. What is the probability that both show up the same number of points.

A\(\frac{1}{36}\)

B\(\frac{7}{36}\)

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

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

E\(\frac{1}{6}\)

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Question 15

jamb 1984

A right circular cone has a base radius r cm and a vertical angle 2y^o. The height of the cone is

Ar tan y^o cm

Br sin y^o cm

Cr cot y^o cm

Dr cos y^o cm

Er cosec y^o cm

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Question 16

jamb 1984

The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?
\(\begin{array}{c|c} Score(n) & Frequency(f)\\\hline 3 & 30\\ 4 & 32\\ 5 & 30\\ 6 & 35\\8 & 20 \end{array}\)

A30

B32

C55

D62

E92

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Question 17

jamb 1984

If pq + 1 = q² and t = \(\frac{1}{p}\) - \(\frac{1}{pq}\) express t in terms of q

A\(\frac{1}{p - q}\)

B\(\frac{1}{q - 1}\)

C\(\frac{1}{q + 1}\)

D1 + 0

E\(\frac{1}{1 - q}\)

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Question 18

jamb 1984

Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)

A(x² - 1)(x + 2)

Bx²(x + 2)

C² + 34

D\(\frac{3x^2 - 1}{(x - 1)}\)

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Question 19

jamb 1984

If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is

A\(\frac{3x + 1}{x - 1}\)

B\(\frac{3x^2 - 1}{(x - 1)}\)²

Cx\(\frac{3x - 2}{1 - x}\)

D\(\frac{3x^2 - 1}{(x - 1)}\)

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Question 20

jamb 1984

The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is \(\frac{1}{5}\), find the value of x

A24cm

B20cm

C28cm

D7cm

E\(\frac{88}{7}\)

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