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Mathematics Past Questions

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

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 1

waec 2017

In the diagram, RPS is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR

A24\(^o\)

B42\(^o\)

C48\(^o\)

D66\(^o\)

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Question 2

waec 2017

The graph of y = \(ax^2 + bx + c\) is shown oon the diagram. Find the minimum value of y

A-2.0

B-2.1

C-2.3

D-2.5

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Question 3

waec 2017

Find the value of m in the diagram

A72\(^o\)

B68\(^o\)

C44\(^o\)

D34\(^o\)

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Question 4

waec 2017

The diagonal of a square is 60 cm. Calculate its peremeter

A20\(\sqrt{2}\)

B40\(\sqrt{2}\)

C90\(\sqrt{2}\)

D120\(\sqrt{2}\)

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Question 5

waec 2017

A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angles of depression of the boat from point of observation

A36.87\(^o\)

B39.70\(^o\)

C51.34\(^o\)

D53.13\(^o\)

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Question 6

waec 2017

In the diagram, NQ//TS,

A110\(^o\)

B130\(^o\)

C140\(^o\)

D150\(^o\)

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Question 7

waec 2017

In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.

A\(\frac{2}{9}\)

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

C\(\frac{5}{9}\)

D\(\frac{7}{9}\)

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Question 8

waec 2017

Marks	0	1	2	3	4	5
Frequency	7	4	18	12	8	11

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, find the first quartile

A1.0

B1.5

C2.0

D2.5

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Question 9

waec 2017

Marks	0	1	2	3	4	5
Frequency	7	4	18	12	8	11

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution

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Question 10

waec 2017

In the diagram, PQ and PS are tangents to the circle O. If PSQ = m,

A103\(^o\)

B123\(^o\)

C133\(^o\)

D143\(^o\)

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Question 11

waec 2017

The diagram shows a circle O. If < ZYW = 33\(^o\) , find < ZWX

A33\(^o\)

B57\(^o\)

C90\(^o\)

D100\(^o\)

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Question 12

waec 2017

In the diagram, XY is a straight line.

A60\(^o\)

B90\(^o\)

C100\(^o\)

D120\(^o\)

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Question 13

waec 2017

The diagram shows a circle centre O. if

A12\(^o\)

B15\(^o\)

C29\(^o\)

D34\(^o\)

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Question 14

waec 2017

Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n \(\oplus 4\))

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Question 15

waec 2017

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take\(\frac{22}{7}\)]

A7.83\(m^2\)

B32.29\(m^2\)

C50.29\(m^2\)

D82.50\(m^2\)

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Question 16

waec 2017

Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

A2.2

B3.4

D4.2

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Question 17

waec 2017

If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate

AN2,500.00

BN2,600.00

CN4,500.00

DN4,600.00

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Question 18

waec 2017

Two bottles are drawn with replacement from a crate containing 8 Coke, 12 Fanta, and 4 Sprite bottles. What is the probability that the first is coke and the second is not coke?

A\(\frac{1}{12}\)

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

C\(\frac{2}{9}\)

D\(\frac{3}{8}\)

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Question 19

waec 2017

Given that t = \(2 ^{-x}\), find \(2 ^{x + 1}\) in terms of t.

A\(\frac{2}{t}\)

B\(\frac{t}{2}\)

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

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Question 20

waec 2017

Consider the statements: p it is hot, q: it is raining

Which of the following symbols correctly represents the statement "It is raining if and only if it it is cold"?

Ap \(\iff\) \(\sim\)q

Bp \(\iff\) q

C\(\sim\)p \(\iff\) \(\sim\)q

Dq \(\iff\) \(\sim\)p

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