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Mathematics Past Questions

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

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129 questions

Question 1 of 20 129 total questions

Question 11

neco 2002

The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

A\(\frac{27}{125}\)

B\(\frac{9}{25}\)

C\(\frac{72}{125}\)

D\(\frac{76}{125}\)

E\(\frac{81}{125}\)

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Question 12

neco 2002

If \(\frac{t}{L}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when L = 4.5; t = 5 secs

A3.20 ms²

B11.31 ms²

C32.00 ms²

D56.57 ms²

E160.00 ms²

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Question 13

neco 2002

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

A60m

B60\(\sqrt{3}\)m

C80\(\sqrt{3}\)m

D120\(\sqrt{3}\)m

E240m

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Question 14

neco 2002

Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

A7cm

B15cm

C22cm

D26cm

E30cm

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Question 15

neco 2002

A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

A\(\frac{4}{39}\)

B\(\frac{4}{13}\)

C\(\frac{5}{13}\)

D\(\frac{6}{13}\)

E\(\frac{9}{13}\)

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Question 16

neco 2002

If sin 30° = 0.5, what is the cosine of its complement?

A-0.866

B-0.5

C0.5

D0.866

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Question 17

neco 2002

What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

A312cm\(^2\)

B96cm\(^2\)

C36cm\(^2\)

D24cm\(^2\)

E12cm\(^2\)

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Question 18

neco 2002

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

AT = (a²s² – 1)

BT = (a²s²– 1) ÷ a

CT = a ÷ (a² - s²)

DT = a ÷ (a²s² – 1)

ET = (as – 1)²

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Question 19

neco 2002

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

A9.0cm

B8.5cm

C7.2cm

D4.3cm

E3.0cm

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Question 20

neco 2002

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

A7.07cm\(^3\)

B50.0cm\(^3\)

C125.0cm\(^3\)

D353.4cm\(^3\)

E625.0cm\(^3\)

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Question 21

neco 2002

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

A1.995 × 10³

B1.95 × 10²

C1.95 × 10¹

D1.95 × 10^-2

E1.95 × 10^-3

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Question 22

neco 2002

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

A{17}

B{16, 17, 19, 20}

C{1, 4, 15, 17, 18}

D{14, 15, 16, 18, 19, 20}

E{14, 15, 16, 17, 18, 19, 20}

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Question 23

waec 2002

In the diagram, LMT is a straight line. lf O is the centre of circle LMN, OMN = 20°, LTN = 32° and |NM| = |MT|, find LNM.

A44^o

B46^o

C52^o

D70^o

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Question 24

waec 2002

Which of the following is not a rational number?

A-5

B\(\sqrt{4}\)

C\(3\frac{3}{4}\)

D\(\sqrt{90}\)

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Question 25

waec 2002

The number of goals scored by a school team in 10 netball matches are as follows: 3, 5, 7, 7, 8, 8, 8, 11, 11, 12. Find the probability that in a match, the school team will score at most 8 goals.

A\(\frac{7}{10}\)

B\(\frac{2}{5}\)

C\(\frac{3}{5}\)

D\(\frac{1}{5}\)

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Question 26

waec 2002

Given that \(p = x-\frac{1}{x} and\hspace{1mm}q = x^2 + \frac{1}{x^2}\) express q in terms of p.

A(p² + 2)

B(p - 2) ²

C(p + 2) ²

D(p² - 2)

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Question 27

waec 2002

In the diagram O is the center of the circle, ∠SOR = 64° and ∠PSO = 36°. Calculate ∠PQR

A100^o

B96^o

C94^o

D86^o

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Question 28

waec 2002

In the diagram, \(QR||TP and W\hat{P}T = 88^{\circ} \). Find the value of x

A92^o

B68^o

C67^o

D23^o

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Question 29

waec 2002

To arrive on schedule, a train is to cover a distance of 60km at 72km/hr. If it starts 10 minutes late, at what speed must it move to arrive on schedule?

A60km/hr

B80km/hr

C90km/hr

D108km/hr

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Question 30

waec 2002

Calculate and correct to two significant figures, the percentage error in approximating 0.375 to 0.4

A2.0

B2.5

C6.6

D6.7

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