JAMB MATHEMATICS PAST QUESTIONS (UTME) – Certifications Exam Prep

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JAMB MATHEMATICS PAST QUESTIONS

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Attempt 60 questions that will be selected from our question bank. You have 2 hours to answer all questions.

These questions are drawn from different years of JAMB past questions

You can retake the exams as many times as possible.

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1 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)

x + 2y = 8

2x + y = 9

2x + 3y = 8

2x + 2y = 9

2 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much tax does he pay each year?

3 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

1/8a

1/4a

4 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Divide the L.C.M of 48, 64 and 80 by their H.C.F

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

15/17

9/17

8/15

12/17

6 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The pie chart shows the monthly expenditure of 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?

1000

3000

4000

2000

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

½ , 2

0, 2

2, ½

1, ½

8 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/9!2!2

11!/2!2!2!

11!/9!2 !

11!/2!2!

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

60 degree

80 degree

50 degree

70 degree

10 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Factorize completely x² + 12xy + y + 3x + 3y - 18

(x - y - 6)(x - y + 3)

(x + y - 6)(x + y + 3)

(x - y + 6)(x - y - 3)

(x + y + 6)(x + y -3)

11 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the required roots/region of x

x ≤ -1, o ≤ x ≤ 4

x ≤ 4

x ≤ -1, x ≥ 4

-1 ≤ x ≤ 4

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From a point R, 300m north of P, a man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree

026°

045°

210°

240°

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The sum of two numbers is 5; their product is 14. Find the numbers.

x = 7 or 0

x = 5 or 1

x = 7 or 1

x = 7 or − 2

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

An arc of the length 16 $π$ cm subtends an angle of 80^o at the centre of the circle. Find the radius of the circle.

28cm

32cm

24cm

36cm

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

47.1cm square

37.3cm sqaure

27.2cm square

17.1cm square

19 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

60 degrees

50 degree

40 degrees

55 degrees

20 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

7.51

7.55

7.71

5.5

21 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X?

117 degrees

137 degrees

170 degrees

123 degrees

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A car dealer bought a second-hand car for of 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

25%

32%

20%

60%

23 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3(2 + √5)

2(3 + √5)

5(2 + √3)

3 √2 + 1

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Solve x² − 2x − 3 = 0

x = 2 or 1

x = 3 or -1

x = 1 or 0

x = 1 or 2

25 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Convert 0.04945 to two significant figures

0.050

0.49

0.049

Convert 0.04945 to two significant figures

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base
π = 22/7

3.6cm

3.5cm

2.6cm

7.0cm

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Age in years	7	8	9	10	11
No of pupils	4	13	30	44	9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

46.8°

13°

56.3°

48.6°

28 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the range of values of t which satisfies the inequality.

2t − 1 $\leq$ 3 and 2− t $\geq$ 5

-3≤t≤1

-3≤t≤4

-3≤t≤2

-2≤t≤3

29 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

11.2

10.2

11.3

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

720 litres

160 litres

960 litres

225 litres

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MACICITA be arranged?

8!/2!2!2!

8!/2!

8!/3!2!

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

1.0

0.07

0.03

1.03

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

N410,000

N257,000

N157,250

N365,217

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If √ (2x + 2) − √x =1 ,find x.

x = 3 or 1

x = 2 twice

x = 1 twice

x = 0 or 1

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

592cm square

148cm square

296cm square

1920cm square

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the letters LEADER be arranged?

360

720

144

38 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the value of < OTQ

65 degrees

55 degrees

115 degrees

230 degrees

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

N40,000

N44,000

N36,000

N15,000

41 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A cylindrical tank has a capacity of 3080m³. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

25m

23m

20m

22m

42 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The base in which the operation was performed was

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

xy = 7

7x + 5y = 70

15x + 17y = 90

5x + 7y = 20

44 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark	0	1	2	3	4	5
Frequency	1	2	7	5	4	3

What is the median mark?

46 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the value of x and y if (27^x ÷ 81^x+2y = 9 ,x + 4y = 0

x = 1, y = 1/2

x − 0, y = 1

x = 2, y = –1

x = 2, y = – 1/2

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

n a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

N14,200

N8,000

N12,000

N16,200

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

10%

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (0.09)² and give your answer correct to 4 significant figures

8.0001

0.081

0.0081

0.81

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y}

225

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given that Z = {1,2,4,5} what is the power of set Z?

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

54 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

17.4cm square

50.3cm sqaure

15.7cm sqaure

10.3cm square

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

{1, 5, 6, 7, 8, 9, 12, 15}

{2, 4, 5, 9, 12, 15}

{1, 2, 3, 5, 6, 8, 12, 15}

{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

56 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

1/2

3/4

2/5

1/3

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation

58 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If the simple interest on a sum of money invested at 3% per annum for 2 and half years is N123, find the principal.

N1,640

N820

N676.50

N4,920

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

5/8

1/2

5/16

3/8

60 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

1.861

1.354

1.761

2.549

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