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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

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Question 441

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 442

waec 2017

In the diagram, NQ//TS,

A110\(^o\)

B130\(^o\)

C140\(^o\)

D150\(^o\)

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Question 443

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 444

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 445

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 446

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 447

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 448

waec 2017

In the diagram, XY is a straight line.

A60\(^o\)

B90\(^o\)

C100\(^o\)

D120\(^o\)

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Question 449

waec 2017

The diagram shows a circle centre O. if

A12\(^o\)

B15\(^o\)

C29\(^o\)

D34\(^o\)

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Question 450

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 451

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 452

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 453

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 454

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 455

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 456

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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Question 457

waec 2017

Make x the subject of the relation d = \(\sqrt{\frac{6}{x} - \frac{y}{2}}\)

Ax = \(\frac{6 + 12}{d^2 + y}\)

Bx = \(\frac{12}{d^2 - y}\)

Cx = \(\frac{12}{y} - 2d^2\)

Dx = \(\frac{12}{2d^2 + y}\)

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Question 458

waec 2017

The roots of a quadratic equation are \(\frac{-1}{2}\) and \(\frac{2}{3}\). Find the equation.

A\(6x^2 - x + 2 = 0\)

B\(6x^2 - x - 2 = 0\)

C\(6x^2 + x - 2 = 0\)

D\(6x^2 + x + 2 = 0\)

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Question 459

waec 2017

Find the 6th term of the sequence \(\frac{2}{3} \frac{7}{15} \frac{4}{15}\),...

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

B-\(\frac{1}{5}\)

C-\(\frac{1}{15}\)

D\(\frac{1}{9}\)

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Question 460

waec 2017

Simplify the expression \(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\)

A\(a^2 - b^2\)

B\(b^2 - a^2\)

C\(a^2b - ab^2\)

D\(ab^2 - a^2b\)

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