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Mathematics Past Questions

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

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 1

jamb 1998

The bar chart shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. If the pass mark was 5, what percentage of the pupils failed the test?

A59.4%

B50.0%

C41.7%

D25.0%

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Question 2

jamb 1998

The pie chart shows the monthly expenditure pf a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

AN1000

BN2000

CN3000

DN4000

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Question 3

jamb 1998

A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60° on the circumference of he circle. Find the length of the chord

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

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

D\(\sqrt{3}\)cm

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Question 4

jamb 1998

In the diagram, QTR is a straight line and < PQT = 30°. Find the sin of < PTR

A\(\frac{8}{15}\)

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

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

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

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Question 5

jamb 1998

TQ is tangent to circle XYTR, < YXT = 32o, RTQ = 40o. find < YTR

A108^o

B121^o

C140^o

D148^o

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Question 6

jamb 1998

In the figure, PQST is a parallelogram and TSR is a straight line. If the area of \(\bigtriangleup\)QRS is 20cm2, find the area of the trapezium PQRT.

A35cm²

B65cm²

C70cm²

D140cm²

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Question 7

jamb 1998

In diagram, PQ || ST and < PQR = 120º, < RST = 130º, find the angle marked x

A50

B65

C70

D80

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Question 8

jamb 1998

In the diagram, PR is a diameter of the circle PQRS. PST and QRT are straight lines. Find QRS

A20^o

B25^o

C30^o

D35^o

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Question 9

jamb 1998

The shaded area represents

Ax \(\leq\) 0, y \(\leq\) 0, 2y + 3x \(\leq\) 6

Bx \(\geq\) 0, y \(\geq\) 3, 3x + 2y \(\geq\) 6

Cx \(\geq\) 2, y \(\geq\) 0, 3x + 2y \(\leq\) 6

Dx \(\geq\) 0, y \(\geq\) 0, 3x + 2y \(\geq\) 6

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Question 10

jamb 1998

In the venn diagram, the shaded region is?

A(P \(\cap\) Q) \(\cup\) R

B(P \(\cap\) Q) \(\cap\) R

C(P \(\cap\) Q¹) \(\cap\) R

D(P \(\cap\) Q¹) \(\cup\) R

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Question 11

jamb 1998

For what value of x does 6 sin (2x - 25)o attain its maximum value in the range 0o \(\leq\) x \(\leq\) 180o

A12\(\frac{1}{2}\)

B32\(\frac{1}{2}\)

C57\(\frac{1}{2}\)

D147\(\frac{1}{2}\)

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Question 12

jamb 1998

If x, y can take values from the set (1, 2, 3, 4), find the probability that the product of x and y is not greater than 6

A\(\frac{5}{8}\)

B\(\frac{5}{16}\)

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

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

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Question 13

jamb 1998

In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively of winning the gold in the football event. What is the probability that either team will win the gold?

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

B\(\frac{7}{15}\)

C\(\frac{11}{15}\)

D\(\frac{13}{15}\)

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Question 14

jamb 1998

A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to \(\frac{2}{5}\)

B20

C24

D40

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Question 15

jamb 1998

Find the positive value of x if the standard deviation of the numbers 1, x + 1, 2x + 1 is \(\sqrt6\)

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Question 16

jamb 1998

Find the variance of the numbers k, k+1, k+2,

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

Ck + 1

D(k + 1)²

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Question 17

jamb 1998

\(\begin{array}{c|c} \text{Average hourly earnings(N)} & 5 - 9 & 10 - 14 & 15 - 19 & 20 - 24\\ \hline \text{No. of workers} & 17 & 32 & 25 & 24\end{array}\)

Estimate the mode of the above frequency distribution

A12.2

B12.27

C12.9

D13.4

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Question 18

jamb 1998

If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number

A19

B18

C13

D12

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Question 19

jamb 1998

find the equation of the curve which passes through by 6x - 5

A6x² - 5x + 5

B6x² + 5x + 5

C3x² - 5x - 5

D3x² - 5x + 3

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Question 20

jamb 1998

Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

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

B\(\pi\) - 2

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

D\(\pi\) + 2

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