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Mathematics Past Questions

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

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Past Questions

50 questions

Question 1 of 20 50 total questions

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

jamb 2004

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

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Question 15

jamb 2004

Find P, if 451₆ - P₇ = 305₆

A62₇

B116₇

C611₇

D142₇

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Question 16

jamb 2004

If 6logx2 - 3logx3 = 3log50.2, find x.

A8/3

B4/3

C3/4

D3/8

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Question 17

jamb 2004

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive?

A8/15

B11/25

C12/25

D13/25

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Question 18

jamb 2004

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

A96 cm

B324 cm

C36 cm

D144 cm

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Question 19

jamb 2004

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

A2/3

B1/3

C3/4

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Question 20

jamb 2004

Factorize completely ac - 2bc - a\(^2\) + 4b\(^2\)

A(a - 2b)(c - a - 2b)

B(a - 2b)(c + a +2b)

C(a - 2b)(c - a + 2b)

D(a - 2b)(c + a - 2b)

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