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Mathematics Past Questions

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

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Past Questions

90 questions

Question 1 of 20 90 total questions

Question 11

waec 1997

Solve the inequality 3x - 8 ≥ 5x

Ax ≤ 4

Bx ≥ 1

Cx ≤ -4

Dx ≤ -1

Ex < 2

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Question 12

waec 1997

The interior angles of a pentagon are 126^o, 114^o, y, 92^o and 83^o. Find the value of y.

A85^o

B95^o

C105^o

D115^o

E125^o

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Question 13

waec 1997

From the diagram above, which of the following is true?

Aa +b + x =180

Ba = b + x

Ca – b = 180 - x

Da + b = x + 180

Ea – b = x - 180.

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Question 14

waec 1997

PQRS and GHRS are parallelograms on the same base SR and between the same parallel straight line PH and SR. Which of the following is true?

AΔ PGS = Δ QHR

BParallelogram PQRS = Δ QHR

CTrapezium PQXS = Δ QHR

DΔ PGS = Parallelogram GHRS

EParallelogram PQRS = Parallelogram GHRS

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Question 15

waec 1997

Which of the following statements is/are true when two straight lines intersect?
I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary

AII only

BI and III only

CII and III only

DI, II and III

EI and II

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Question 16

waec 1997

In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x

A2cm

B3cm

C4cm

D5cm

E6cm

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Question 17

waec 1997

Which of the following is not necessarily sufficient for the construction of a triangle?

AThree sides

BTwo sides and an included angle

CTwo sides and a right angle

DTwo sides and an angle

ETwo angles and a side.

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Question 18

waec 1997

The diagram above is a triangle XYZ whose area is 23.5cm². XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.

A34^o

B35^o

C36^o

D37^o

E40^o

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Question 19

waec 1997

Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]

A3.9cm

B12.6cm

C25.2cm

D38.4cm

E124.5cm

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Question 20

waec 1997

The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume

A48cm³

B6Ocm³

C96cm³

D120cm³

E24Ocm³

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Question 21

waec 1997

Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π

A64πcm²

B12Oπcm²

C184πcm²

D200πcm²

E32Oπcm²

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Question 22

waec 1997

The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium

A21cm²

B4Ocm²

C8Ocm²

D150cm²

E300cm²

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Question 23

waec 1997

Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).

A6400πkm

B6400km/π

C3200πkm

D3200km

E3200km/π

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Question 24

waec 1997

In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ

A9cm

B12cm

C14cm

D19.85cm

E23cm

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Question 25

waec 1997

If x varies over the set of real numbers, which of the following is illustrated in the diagram above?

A-2 ≤ x < 3

B-2 < x ≤ 3

C-2 < x < 3

D-2 ≤ x ≤ 3

Ex ≥ 3

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Question 26

waec 1997

P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9

A729/16

D16/9

E4/3

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Question 27

waec 1997

Make q the subject of the relation t = √(pq/r - r\(^2\)q)

Aq = \(\frac{rt^2}{(p - r^3)}\)

Bq = \(\frac{t^2}{(p - r^2)}\)

Cq = \(\frac{rt}{(p - r^3)}\)

Dq = \(\frac{(p - r^3)}{rt^2}\)

Eq = rt\(^2\)(p - r\(^3\))

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Question 28

waec 1997

Solve the equations: 4x -y = 11; 5x + 2y = 4.

Ax = 6, y = 13

Bx = -2, y = -3

Cx = -2, y = 3

Dx = 2, y = -3

Ex = 2, y = 3.

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Question 29

waec 1997

Which of the following equations has its roots as 4 and -5?

Ax² + 4x - 20 = 0

Bx² + x + 20 = 0

Cx² - x + 20 = 0

Dx² + x - 20 = 0

Ex² - x - 20 = 0

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Question 30

waec 1997

Solve me equation: 2/3 (x + 5) = 1/4(5x - 3)

A1¹/₇

B1⁸/₂₃

D4³/₇

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