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Mathematics Past Questions

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

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107 questions

Question 1 of 20 107 total questions

Question 41

jamb 2015

Find x if 132_x = 70 _eight.

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Question 42

jamb 2015

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3,⅓, ⅓, 7}.

Find A∩B

A{}

B{⅓, 1, 2}

C{3, 4, ⅓}

D{1, 3, ⅓}

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Question 43

jamb 2015

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

A\( \frac{2}{15} \)

B\( \frac{3}{24} \)

C\( \frac{3}{21} \)

D\( \frac{3}{28} \)

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Question 44

jamb 2015

Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)

A\( \frac{2}{(x + 1)^2} \)

B\( \frac{2}{(x + 1)(x + 2} \)

C\( \frac{2}{(x + 1)(x + 2} \)

D\( \frac{2}{(x + 1)(x + 3} \)

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Question 45

jamb 2015

Simplify (0.09)² and give your answer correct to 4 significant figures

A0.81

B0.081

C0.0081

D8.0001

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Question 46

jamb 2015

Find the simple interest on N325 in 5years at 3% per annum.

AN48.75K

BN50.10K

CN75.50K

DN15.75K

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Question 47

jamb 2015

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

A2, ½

B½ , 2

C1, ½

D0, 2

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Question 48

jamb 2015

Factorize \( x^2 − 2x − 15 \)

A(x + 3)²

B(x + 5)(x − 3)

C(x − 5)²

D(x − 5)(x + 3)

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Question 49

jamb 2015

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

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Question 50

jamb 2015

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

A{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

B{1, 2, 3, 5, 6, 8, 12, 15}

C{2, 4, 5, 9, 12, 15}

D{1, 5, 6, 7, 8, 9, 12, 15}

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Question 51

jamb 2015

Find at which rate per annum simple interest N525 will amount to N588 in 3 years.

A3%

B2%

C5%

D4%

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Question 52

jamb 2015

If log₅20 = x, find x

A1.761

B1.354

C1.861

D2.549

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Question 53

jamb 2015

Make x the subject of the equation
s = 2 + \(\frac{t}{5} \)(x + ⅗y)

Ax = 5[(s − 2) ÷ t] - 3/5y

Bx = 25[(s − 2) ÷ t] − 3ty

Cx = [1 ÷ (s − 2)3ty]

Dx = [5(s − 2) 2 ÷ 3ty] × t

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Question 54

jamb 2015

The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100)\(^n\). Find A, if P = 126, r = 4 and n = 2.

AN132.50K

BN136.30K

CN125.40K

DN257.42K

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Question 55

jamb 2015

Find the equation of a line which is form origin and passes through the point (−3, −4)

Ay = \( \frac{3x}{4} \)

By = \( \frac{4x}{3} \)

Cy = \( \frac{2x}{3} \)

Dy = \( \frac{x}{2} \)

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Question 56

jamb 2015

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms

Anth = 3

Bnth = 4

Cnth = 5

Dnth = 6

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Question 57

jamb 2015

Solve the equation \( 3x^2 − 4x − 5 = 0 \)

Ax = 1.75 or − 0.15

Bx = 2.12 or − 0.79

Cx = 1.5 or − 0.34

Dx = 2.35 or −1.23

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Question 58

jamb 2015

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much income tax expenses does he pay each year?

A15

B50

C70

D25

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Question 59

jamb 2015

If x + y = 90 simplify \((sinx + siny)^2\)−2sinxsiny

D-1

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Question 60

jamb 2015

Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)

A17.8cm²

B15.8cm²

C75.4cm²

D54.7cm²

E\(377.0cm^{2}\)

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