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Mathematics Past Questions

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1,853 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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1,853 questions

Question 1 of 20 1,853 total questions

Question 721

waec 1996

In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ∠MTN?

A52^o

B54^o

C66^o

D72^o

E128^o

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Question 722

waec 1996

In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/

A1cm

B3cm

C3¹/₂

D5cm

E6cm

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Question 723

waec 1996

In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ∠QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP

AI only

BIII only

CI and II only

DI and III only

EI, II and III

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Question 724

waec 1996

In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT

A30^o

B35^o

C40^o

D70^o

E110^o

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Question 725

waec 1996

Which of the following is not true? You may construct a

Atriangle given all the three sides

Btriangle given one side and two angles

Ctriangle given two sides and the included angle

Dquatrilateral given all the four sides

Eparallelogram given two adjacent sides and the diagonal joining them

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Question 726

waec 1996

In the diagram above, TRQ is a straight line. Find p, if p = \(\frac{1}{3}\)(a + b + c)

A45^o

B60^o

C90^o

D120sup>o

E150^o

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Question 727

waec 1996

In the diagram above, find x correct to the nearest degree

A15^o

B25^o

C26^o

D36^o

E72^o

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Question 728

waec 1996

Each interior angle of a regular nonagon(nine sided polygon) is equal to

A160^o

B144^o

C140^o

D132^o

E36^o

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Question 729

waec 1996

How many sides has a polygon if the sum of its interior angle is 1440^o?

E10

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Question 730

waec 1996

The angle of a sector of a circle of radius 35cm is 288^o. Find the perimeter of the sector. [Take π = 22/7]

A246cm

B211cm

C141cm

D114cm

E44cm

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Question 731

waec 1996

two towns X and Y both on latitude 60^oS have longitude 27^oE and 33^oW respectively. Find to the nearest kilometers, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 10⁴km, where R is the Radius of the earth]

A28850km

B16667km

C8333km

D6667km

E3333km

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Question 732

waec 1996

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

A80cm²

B48cm²

C40cm²

D36cm²

E24cm²

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Question 733

waec 1996

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]

A503.0cm³

B300.0cm³

C250.0cm³

D226.2cm³

E150.9cm³

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Question 734

waec 1996

If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?

A1/√2

B√2 - 1

D√2

E√3

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Question 735

waec 1996

In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?

[Take π = 22/7].

A148¹/₂cm²

B77cm²

C32¹/₁₂cm²

D6⁵/₁₂cm²

E1⁵/₆cm²

View Explanation & Discuss

Question 736

waec 1996

In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60o

Use the information to answer the question below [Take π = 22/7]

What is the length of the arc PXQ?

A22cm

B18¹/₃cm

C\(\frac{11}{3}\)cm

D9¹/₆cm

E7¹/₃cm

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Question 737

waec 1996

The graph of 2y = 5x² - 3x² - 2 cuts the y axis at the point

A(1,0)

B(-2/5, 0)

C(0, -1)

D(0, -2)

E(0, 1)

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Question 738

waec 1996

The roots of a quadratic equation are -1/4 and 3. The quadratic equation is

A4x² - 13x - 3 = 0

B4x² - 11x - 3 = 0

C4x² + 11x - 3 = 0

D3x² - 11x - 3 = 0

E3x² - 11x + 3 = 0

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Question 739

waec 1996

Factorize 32x³ - 8xy²

A4(4x + y)(2x - y)

B(16x - y)(2x + y)

C8x(2x - y)

D8x(2x + y)(2x - y)

E4(2x + y)(4x - y)

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Question 740

waec 1996

Make p the subject if formula y = \(\frac{a + p}{a - p}\)

A\(p = \frac{a(y - 1)}{y + 1}\)

B\(p = \frac{2a - y}{a + y}\)

C\(p = \frac{ay}{y + 1}\)

D\(p = \frac{2y - 1}{y - 1}\)

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