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Mathematics Past Questions

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

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135 questions

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Question 41

waec 2004

A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?

A\(\frac{5}{6}\)

B\(\frac{7}{12}\)

C\(\frac{5}{12}\)

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

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Question 42

waec 2004

Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,

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

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

D\(9\frac{3}{5}\)

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Question 43

waec 2004

Given that sin (5x - 28)^o = cos (3x - 50)^o,0 < x < 90^o, find the value of x

A14^o

B21^o

C32^o

D39^o

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Question 44

waec 2004

If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two

A1110

B10111

C11101

D111100

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Question 45

waec 2004

1. Evaluate \( 202^2_{three} - 112^2_{three}\)

A21120

B21121

C21112

D21011

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Question 46

jamb 2004

In a class of 40 students, each student offers at least one of physics and chemistry. If the number of students that offer physics is three times the number that offer both subjects, and the number that offer chemistry is twice the number that offer physics, find the number of students that offer physics only.

A25

B15

C10

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Question 47

jamb 2004

Find x and y, respectively, in the subtraction above carried out in base 5.

A2, 4

B3, 2

C4, 2

D4, 3

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Question 48

jamb 2004

Find the values of x where the curve y = x\(^3\) + 2x\(^2\) - 5x - 6 crosses the x - axis.

A-2, -1, and 3

B-2, 1 and -3

C2, -1, and -3

D2, 1, and 3

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Question 49

jamb 2004

If P = \(\begin{pmatrix} 1 & 0 & -1 \\ 3 & 4 & 5 \\ -1 & 0 & 1 \end{pmatrix}\), then |P| is

A-8

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Question 50

jamb 2004

The inverse of the matrix \(\begin{pmatrix} 2 & 1 \\ 1 & 1 \end{pmatrix}\) is

A\(\begin{pmatrix} 1 & -1 \\ -1 & 2 \end{pmatrix}\)

B\(\begin{pmatrix} 1 & -1 \\ 1 & 2 \end{pmatrix}\)

C\(\begin{pmatrix} 1 & 1 \\ 1 & 2 \end{pmatrix}\)

D\(\begin{pmatrix} -1 & 1 \\ 1 & 2 \end{pmatrix}\)

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Question 51

jamb 2004

The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?

A68%

B40%

C17%

D8%

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Question 52

jamb 2004

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

A56 cm

B22 cm

C42 cm

D44 cm

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Question 53

jamb 2004

The shaded area in the diagram above is represented by

A{(x,y) : y - 3x < -6}

B{(x,y) : y + 3x < 6}

C{(x,y) : y + 3x < -6}

D{(x,y) : y - 3x < 6}

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Question 54

jamb 2004

The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

A45^o

B75^o

C30^o

D60^o

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Question 55

jamb 2004

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

A1 : 250 000

B1 : 25 000

C1 : 500

D1 : 5 000

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Question 56

jamb 2004

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

A2 -√3

B-2 - √3

C2 + √3

D-2 + √3

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Question 57

jamb 2004

The shaded region in the Venn diagram above is

AP^c ∪ (Q ∩ R)

BP^c ∩ (Q ∪ R)

CP ∩ Q

DP^c ∩ (Q ∩ R)

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Question 58

jamb 2004

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)

A\(\frac{7}{12}\)

B\(\frac{19}{35}\)

C\(\frac{2}{25}\)

D\(\frac{19}{60}\)

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Question 59

jamb 2004

Given that \(\sqrt[3]{{4}}\)\(^{2x}\) = 16, find the value of x

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Question 60

jamb 2004

Find P, if 451₆ - P₇ = 305₆

A62₇

B116₇

C611₇

D142₇

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