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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 1921

waec 1988

The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname

What is the probability that the surname of a child picked at random from the class begins with either O or A?

A5/8

B7/8

C9/16

D14/25

E39/40

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Question 1922

waec 1988

The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. How many candidates scored at most 30%?

A15,000

B20,000

C25,000

D35,000

E60,000

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Question 1923

waec 1988

The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. Find the total number of candidates that sat for the examination

A80,000

B120,000

C250,000

D260,000

E270,000

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Question 1924

waec 1988

If Q = (all perfect squares less than 30) and P = (all odd numbers from 1 to 10). Find Q ∩ P.

A(1, 4, 9, 16, 25)

B(1, 3, 4, 5, 7, 9, 16, 25)

C(1, 3, 5, 7, 9)

D(1, 9)

EΦ

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Question 1925

waec 1988

Cotonou and Niamey are on the same line of longitude and Niamey is 7^o north of Cotonou. If the radius of the earth is 6400km, how far is Niamey north of Cotonou along the line of longitude, correct to the nearest kilometer? [Take π = 22/7]

A391km

B503km

C782km

D1006km

E2012km

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Question 1926

waec 1988

In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?

A135^o

B105^o

C90^o

D75^o

E60^o

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Question 1927

waec 1988

A rope of length 18m is used to form a sector of a circle of radius 3.5m on a school playing field. What is the size of the angle of the sector, correct to the nearest degree?

A33^o

B40^o

C90^o

D180^o

E270^o

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Question 1928

waec 1988

In the diagram above, O is the centre of the circle through points L, M and N, if ∠MLN = 74o and ∠MNL = 39o, calculate ∠LON.

A67^o

B100^o

C113^o

D126^o

E134^o

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Question 1929

waec 1988

A cone is made from a sector of circle of radius 14cm and angle of 90^o. What is the area of the curved surface of the cone? (Take x = 22/7)

A22cm²

B38.5cm²

C77cm²

D154cm²

E308cm²

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Question 1930

waec 1988

Which of the regions P, Q, R, S and T satisfies the following 0 < y < 1, y < x + 2, x < 0

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Question 1931

waec 1988

Abidjan is 4^o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370km, how far is Abidjan west of Accra, correct to the nearest kilometer? [Take π = 22/7]

A222km

B445km

C890km

D5005km

E10010km

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Question 1932

waec 1988

IN the diagram above, LK/PQ, reflex angle KLM = 241° and ∠QPM = 89°. What is the value of ∠LMP?

A30^o

B61^o

C89^o

D119^o

E150^o

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Question 1933

waec 1988

Which of the following is a correct method for constructing an angle of 60^o at Q?

AI only

BII only

CIII only

DI and II only

EII and III only

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Question 1934

waec 1988

Factorize 5y\(^2\) + 2ay - 3a\(^2\)

A(5y - a) (y + 3a)

B(5y + a) (y - 3a)

C5y² + a (2y - 3a)

D(y - a) (5y + 3a)

E(y + a) (5y - 3a)

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Question 1935

waec 1988

In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o
What is ACB?

A147^o

B127^o

C65^o

D53^o

E37^o

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Question 1936

waec 1988

Find the product xy if, x, 3/2, 6/7, y are in G.P

A24/49

B4/7

C9/7

D7/4

E21/8

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Question 1937

waec 1988

Evaluate log₁₀6 + log₁₀45 - log₁₀27 without using logarithm tables

C1.1738

D1.3802

E10

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Question 1938

waec 1988

A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
By what number will you multiply your answer in 22 above to determine the capacity of the tank in liters?

A1/10

C10

D100

E1000

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Question 1939

waec 1988

A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
If the tank is completely filled with water, how many cubic metres can it hold?

A66m³

B84m³

C132m³

D168m³

E264m³

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Question 1940

waec 1988

What is the probability of having an odd number in a single toss of a fair die?

A1/6

B1/3

C1/2

D2/3

E5/6

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