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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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49 questions

Question 1 of 20 49 total questions

Question 11

waec 2002

In the diagram O and O' are the centres of the circles radii 15cm and 8cm respectively. If PQ = 12cm, find |OO'|.

A8.46cm

B19.04cm

C20.81cm

D26.16cm

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Question 12

waec 2002

The upper quartile of the distribution is

A30

B27.5

C25

D17.75

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Question 13

waec 2002

The range of the distribution is

A50

B30

C25

D15

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Question 14

waec 2002

The median of the distribution is

A25

B17.5

C15

D12.5

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Question 15

waec 2002

A number is selected at random from the set Y = {18, 19, 20, . . . 28, 29}. Find the probability that the number is prime.

A\(\frac{1}{4}\)

B\(\frac{3}{11}\)

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

D\(\frac{3}{4}\)

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Question 16

waec 2002

The base diameter of a cone is 14cm, and its volume is 462 cm³. Find its height. [Taken \(\pi = \frac{22}{7}\)]

A3.5cm

B5cm

C7cm

D9cm

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Question 17

waec 2002

The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. lf the area of the trapezium is 105 cm\(^2\), find the perpendicular distance between the parallel sides.

A5cm

B7cm

C10cm

D15cm

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Question 18

waec 2002

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

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

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

C\(\frac{3-x}{1-x^2}\)

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

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Question 19

waec 2002

For what values of x is the expression \(\frac{3x-2}{4x^2+9x-9}\) undefined?

A\(\frac{-3}{4} \hspace{1mm}or \hspace{1mm}3\)

B\(\frac{-2}{3} \hspace{1mm}or \hspace{1mm}-3\)

C\(\frac{2}{3} \hspace{1mm}or \hspace{1mm}3\)

D\(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)

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Question 20

waec 2002

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY

A34^o

B13.36^o

C44^o

D46^o

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Question 21

waec 2002

Which of the following is represented by the above sketch?

Ay = x² + x - 6

By = x² - x - 6

Cy = x² - x + 6

Dy = x² + x + 6

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Question 22

waec 2002

If (-3, -4) is a point on the line y = mx + 2 find the value of m.

A-2

B\(\frac{7}{4}\)

D\(\frac{8}{3}\)

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Question 23

waec 2002

Find the nth term of the sequence 4, 10, 16 ,...

A2(3n- 1)

B2(2 + 3 ^n-1)

C2 ⁿ + 2

D2(3n+2)

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Question 24

waec 2002

From the diagram, find the bearing of Q from P.

A236^o

B214^o

C146^o

D124^o

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Question 25

waec 2002

If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?

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

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

D-1

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Question 26

waec 2002

The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?

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Question 27

waec 2002

Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl

A18km

B13.4km

C13km

D10.4km

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Question 28

waec 2002

If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.

D-5

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Question 29

waec 2002

The length, in cm, of the sides of a right angled triangle are x, (x+2) and (x+1) where x > 0. Find , in cm, the length of its hypotenuse

C13

D17

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Question 30

waec 2002

The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x-axis at P and R and the y-axis at Q.

When \(y = 3\frac{1}{3}\), what is the positive value of x?

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

B\( 2\frac{1}{5}\)

C\( 1\frac{1}{5}\)

Dzero

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