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Mathematics Past Questions

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

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94 questions

Question 1 of 20 94 total questions

Question 31

jamb 2023

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

A217\(^o\)

B323\(^o\)

C037\(^o\)

D053\(^o\)

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Question 32

jamb 2023

If D = \(\begin{bmatrix}2& -1&3\\4&1&2\\1&-3&1\\\end{bmatrix}\)

Find |D|

A16

B14

C-23

D-37

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Question 33

jamb 2023

A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there is to be a majority of women?

A60

B15

C66

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Question 34

jamb 2023

The ages of students in a small primary school were recorded in the table below.

Age	5 - 6	7 - 8	9 -10
Frequency	29	40	38

Estimate the mean

A7.7

B7.5

C7.8

D7.6

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Question 35

jamb 2023

Evaluate the following limit: \(lim_{x\to2} \frac {x^2 + 4x - 12}{x^2 - 2x}\)

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Question 36

jamb 2023

At simple interest, a man made a deposit of some money in the bank. The amount in his bank account after 10 years is three times the money deposited. If the interest rate stays the same, after how many years will the amount be five times the money deposited?

A15 years

B25 years

C20 years

D30 years

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Question 37

jamb 2023

Find the value of t, if the distance between the points P(–3, –14) and Q(t, –5) is 9 units.

C- 3

D- 2

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Question 38

jamb 2023

If \(\frac {3 - \sqrt 3}{2 + \sqrt 3} = a + b\sqrt 3\), what are the values a and b?

Aa = 9, b = -5

Ba = 5, b = 9

Ca = 9, b = 5

Da = -5, b = 9

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Question 39

jamb 2023

Divide 1101001\(_{two}\) by 101\(_{two}\)

A11101\(_{two}\)

B111\(_{two}\)

C10111\(_{two}\)

D10101\(_{two}\)

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Question 40

jamb 2023

If a car runs at a constant speed and takes 4.5 hrs to run a distance of 225 km, what time will it take to run 150 km?

A2 hrs

B4 hrs

C3 hrs

D1 hr

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Question 41

jamb 2023

The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36\(^o\). Find ∠PQR

A72\(^0\)

B36\(^0\)

C144\(^0\)

D54\(^0\)

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Question 42

jamb 2023

Solve for x: 3(x – 1) ≤ 2 (x – 3)

Ax ≤ -3

Bx ≥ -3

Cx ≤ 3

Dx ≥ 3

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Question 43

jamb 2023

Make x the subject of the formula: y = \(\frac {3x - 9c}{4x + 5d}\)

Ax = \(\frac {-(9c - 5dy)}{4y - 3}\)

Bx = \(\frac {9c + 5dy}{4y - 3}\)

Cx = \(\frac {9c - 5dy}{4y - 3}\)

Dx = \(\frac {-(9c + 5dy)}{4y - 3}\)

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Question 44

jamb 2023

The area A of a circle is increasing at a constant rate of 1.5 cm\(^2s^{-1}\). Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm\(^2\).

A0.200 cms\(^{-1}\)

B0.798 cms\(^{-1}\)

C0.300 cms\(^{-1}\)

D0.299 cms\(^{-1}\)

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Question 45

jamb 2023

The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.

Adodecagon

Benneadecagon

Cicosagon

Dhendecagon

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Question 46

jamb 2023

The population of a village decreased from 1,230 to 1,040 due to breakout of an epidemic. What is the percentage decrease in the population?

A15.44%

B15.43%

C15.42%

D15.45%

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Question 47

jamb 2023

Evaluate \(\int_0^1 4x - 6\sqrt[3] {x^2}dx\)

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

B- \(\frac{8}{5}\)

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

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

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Question 48

jamb 2023

Let '*' and '^' be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).

A-49

B64

C113

D15

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Question 49

jamb 2023

Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)

C2\(^0\)

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

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Question 50

jamb 2023

How many different 8 letter words are possible using the letters of the word SYLLABUS?

A(8 - 1)!

B\(\frac{8!}{2!}\)

C\(\frac{8!}{2! 2!}\)

D8!

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