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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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50 questions

Question 1 of 20 50 total questions

Question 11

waec 2001

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that one is green and the other is blue?

A\(\frac{2}{11}\)

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

C\(\frac{8}{12}\)

D\(\frac{7}{11}\)

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Question 12

waec 2001

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that the two balls are red?

A\(\frac{5}{33}\)

B\(\frac{5}{36}\)

C\(\frac{103}{132}\)

D\(\frac{31}{36}\)

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Question 13

waec 2001

Express 25° 45' in decimal (Hint: 1° = 60')

A25.75^o

B25.55^o

C25.45^o

D25.15^o

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Question 14

waec 2001

Three observation posts P,Q and R are such that Q is due east of P and R is due north of Q. If |PQ| = 5km and |PR| = 10km, find |QR|

A5.0km

B7.5km

C7.6km

D8.7km

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Question 15

waec 2001

Given that sin \(P = \frac{5}{13}\), where p is acute, find the value of cos p - tan p

A\(\frac{79}{156}\)

B\(\frac{85}{156}\)

C\(\frac{7}{13}\)

D\(\frac{8}{1}\)

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Question 16

waec 2001

The bearing S40°E is the same as

A040^o

B050^o

C130^o

D140^o

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Question 17

waec 2001

If 2x : (x +1) = 3:2, what is the value of x?

A\(\frac{1}{2}\)

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

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Question 18

waec 2001

If \(y \propto \frac{1}{\sqrt{x}}\) and x = 16 when y = 2, find x when y = 24

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

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

C\(\frac{1}{3}\)

D\(\frac{2}{3}\)

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Question 19

waec 2001

Subtract (-y + 3x + 5z) from (4y - x - 2z)

A5y - 4x - 7z

B3y + 2x + 3z

C-5y + 4x + 7z

D2x - 5y + 3z

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Question 20

waec 2001

The graph of the curve \(y = 2x^2 - 5x - 1\) and a straight line PQ were drawn to solve the equation \(2x^2 - 5x + 2 = 0\)
What is the equation of the straight line PQ?

Ay = -1

By = 1

Cy = 3

Dy = -3

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Question 21

waec 2001

which of the following is not quadratic expression?

A\(y = 2x^2 - 5x\)

B\(y=x(x-5)\)

C\(y = x^2 - 5\)

Dy = 5(x-1)

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Question 22

waec 2001

If \(2x^2 + kx - 14 = (x+2)(2x-7)\), find the value of K

A-3

D11

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Question 23

waec 2001

if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n

A7:4

B4:3

C3:4

D4:7

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Question 24

waec 2001

If \(\frac{y-3}{2}

Ay > 7

By < -7

Cy > -7

Dy < 7

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Question 25

waec 2001

Simplify \(\frac{2x-1}{3}-\frac{x+3}{2}\)

A\(\frac{x+3}{6}\)

B\(\frac{x+8}{6}\)

C\(\frac{x-11}{6}\)

D\(\frac{x-4}{6}\)

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Question 26

waec 2001

Factorize \(6x^2 + 7x - 20\)

A(6x - 5)(x + 4)

B2(3x-5)(x+2)

C(3x+4)(2x-5)

D(3x-4)(2x+5)

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Question 27

waec 2001

Evaluate \(\frac{x^2 + x - 2}{2x^2 + x -3}\) when x = -1

A-2

B-1

C\(-\frac{1}{2}\)

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Question 28

waec 2001

Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.

Ap = 1, q = 3

Bp = 1, q = 2

Cp = -2, q = 3

Dp = 3, q = -2

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Question 29

waec 2001

A man is four times as old as his son. The difference between their ages is 36 years Find the sum of their ages

A45 years

B48 years

C60 years

D74 years

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Question 30

waec 2001

Evaluate \(\frac{1}{2}+\frac{3}{4}of\frac{2}{5}\div 1\frac{3}{5}\)

A\(\frac{15}{16}\)

B\(\frac{11}{16}\)

C\(\frac{49}{50}\)

D\(3\frac{1}{5}\)

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