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Mathematics Past Questions

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

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 11

waec 2020

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ

A200\(^o\)

B100\(^o\)

C120\(^o\)

D90\(^o\)

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Question 12

waec 2020

Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon

A30

B36

C24

D18

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Question 13

waec 2020

The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid?

A10cm

B6cm

C8cm

D7cm

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Question 14

waec 2020

If tan y is positive and sin y is negative, in which quadrant would y lie?

AFirst and third only

BFirst and second only

CThird only

DSecond only

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Question 15

waec 2020

Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?

A₦(xy + 10)

B₦(x + 10y)

C₦(10x + y)

D₦10(x + y)

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Question 16

waec 2020

A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.

A76.11\(^o\)

B53.67\(^o\)

C52.40\(^o\)

D51.32\(^o\)

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Question 17

waec 2020

In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT)

A\(\frac{1}{\sqrt{3}}\)

B\(\frac{\sqrt{3}}{2}\)

C\(\sqrt{3}\)

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

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Question 18

waec 2020

Simplify; \(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)

A\(\frac{a - b + c}{ab}\)

B\(\frac{ab - bc - ac}{ab}\)

C\(\frac{a^2 - b^2 + ac}{ab}\)

D\(\frac{a^2 - b^2 - ac}{ab}\)

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Question 19

waec 2020

A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.

A5y\(^2 - 16y - 380 = 0\)

B5y\(^2 - 24y - 380 = 0\)

C5y\(^2 - 16y - 330 = 0\)

D5y\(^2 + 24y - 324 = 0\)

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Question 20

waec 2020

The expression \(\frac{5x + 3}{6x (x + 1)}\) will be undefined when x equals

A{0, 1}

B{0, -1}

C{-3, -11}

D{-3, 0}

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Question 21

waec 2020

Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3)

Ay = \(\frac{2}{3} x - 3\)

By = \(\frac{2}{3} x - 2\)

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

Dy = \(\frac{-2}{3} x\)

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Question 22

waec 2020

In the diagram, PQ // SR. Find the value of x

A34

B46

C57

D68

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Question 23

waec 2020

A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.

A280 cm\(^2\)

B166 cm\(^2\)

C140 cm\(^2\)

D83 cm\(^2\)

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Question 24

waec 2020

Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?

A1:00 pm

B12:00 noon

C11:00 am

D10:00 am

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Question 25

waec 2020

Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z

Ax = \(\frac{6y}{z}\)

Bx = \(\frac{12y}{z}\)

Cx = \(\frac{3y}{z}\)

Dx = \(\frac{3y}{2z}\)

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Question 26

waec 2020

Find the quadratic equation whose roots are \(\frac{1}{2}\) and -\(\frac{1}{3}\)

A3x\(^2\) + x + 1 = 0

B6x\(^2\) + x - 1 = 0

C3x\(^2\) + x - 1 = 0

D6x\(^2\) - x - 1 = 0

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Question 27

waec 2020

Make m the subject of the relation k = \(\sqrt{\frac{m - y}{m + 1}}\)

Am = \(\frac{y + k^2}{k^2 + 1}\)

Bm = \(\frac{y + k^2}{1 - k^2}\)

Cm = \(\frac{y - k^2}{k^2 + 1}\)

Dm = \(\frac{y - k^2}{1 - k^2}\)

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Question 28

waec 2020

Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

Ax > \(\frac{7}{22}\)

Bx < \(\frac{7}{22}\)

Cx > \(\frac{-7}{27}\)

Dx < \(\frac{-7}{27}\)

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Question 29

waec 2020

The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio.

D16

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Question 30

waec 2020

The implication x \(\to\) y is equivalent to?

A~ y \(\to\) ~ x

By \(\to\) ~ x

C~ x \(\to\) ~ y

Dy \(\to\) x

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