JAMB MATHEMATICS PAST QUESTIONS

Name: JAMB MATHEMATICS PAST QUESTIONS - 2022 | School Portal NG
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JAMB MATHEMATICS PAST QUESTIONS - 2022

JAMB MATHEMATICS PAST QUESTIONS

JAMB MATHEMATICS PAST QUESTIONS

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.

Goodluck

1 / 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?

170 degrees

117 degrees

123 degrees

137 degrees

2 / 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 + 2y = 9

2x + 3y = 8

2x + y = 9

3 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Convert 0.04945 to two significant figures

0.049

0.49

0.050

Convert 0.04945 to two significant figures

4 / 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

5 / 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

1.03

1.0

0.07

0.03

6 / 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

2.6cm

3.5cm

7.0cm

3.6cm

7 / 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		1	2	3	4	5
Frequency	1	2	7	5	4	3

What is the median mark?

1

3

2

4

8 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

0.0081

8.0001

0.81

0.081

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

-2

-t

2

t

10 / 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?

20

15

25

30

11 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x ≤ -1, x ≥ 4

-1 ≤ x ≤ 4

x ≤ -1, o ≤ x ≤ 4

x ≤ 4

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

6

3

7

5

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q $\cap$ T?

(2,3)

(2,3,9)

(2,3,6)

(2,3,18)

14 / 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?

30

10

35

45

15 / 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

N16,200

N12,000

N8,000

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

4

20

8

16

17 / 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}

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

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

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

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3(2 + √5)

3 √2 + 1

5(2 + √3)

2(3 + √5)

19 / 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

-2≤t≤3

-3≤t≤2

-3≤t≤1

-3≤t≤4

20 / 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.

36cm

32cm

24cm

28cm

21 / 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°

48.6°

13°

56.3°

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MACICITA be arranged?

8!/3!2!

8!

8!/2!2!2!

8!/2!

23 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year.

N684.00

N720.00

N828.00

N756.00

24 / 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)

25 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If the mean of 4, y, 8 and 10 is 7. Find Y?

7

9

6

10

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

5.5

7.71

7.55

7.51

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x = 7 or 1

x = 7 or 0

x = 5 or 1

x = 7 or − 2

28 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The probabilities that John and James pass an examination are $\frac{3}{4}$ and $\frac{3}{5}$ respectively. Find the probability of both boys failing the examination.

1/10

2/10

11/20

9/20

29 / 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.

3

2

0

1

30 / 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.

N820

N676.50

N4,920

N1,640

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

40 degrees

60 degrees

55 degrees

50 degree

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, Find the value of < ROP

95 degrees

70 degrees

110 degrees

85 degrees

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the gradient of the line joining the points (3, 2) and (1, 4)

3/2

-1

2/1

3/2

34 / 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

17.1cm square

37.3cm sqaure

27.2cm square

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The volume of a cone (s) of height 6cm and base radius 5cm is

155cm cube

175cm cube

145cm cube

157cm cube

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

₦ 40,000

₦ 35, 000

₦ 25,000

₦ 20,000

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

420Km

405Km

210Km

200Km

38 / 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

46

47

54

42

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

296cm square

592cm square

1920cm square

148cm square

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

₦ 4,700

₦ 5,000

₦ 4,000

₦ 4,900

41 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man bought a car for N800 and sold it for N520. Find his loss per cent

35%

10%

25%

15%

42 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

15x + 17y = 90

7x + 5y = 70

xy = 7

5x + 7y = 20

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 4 √[(390695T− 8)½)]

T/5

2T

5/T

1/T

44 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

How many sides has a regular polygon whose interior angles are 120°each

4

3

5

6

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

{3, 4, ⅓}

{1, 3, ⅓}

{⅓, 1, 2}

{}

46 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify √30 × √40

20 √3

10 √3

15 √3

5 √3

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x − 0, y = 1

x = 1, y = 1/2

x = 2, y = – 1/2

x = 2, y = –1

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

1.354

1.761

2.549

1.861

49 / 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°

210°

045°

240°

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find x if 132_x = 70 _eight.

5

6

3

1

51 / 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?

70

54

42

20

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

What is the loci of a distance 4cm from a given point P?

A straight line of length 4cm

a circle of diameter 4cm

perpendicular to point P at 4cm

a circle of radius 4cm

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The area of an ellipse is 132cm².The length of its major axis is 14cm.Find the length of it minor axis

10.5cm

12cm

10cm

5cm

54 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

16

22

17

20

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

148m

382m

282m

248m

56 / 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?

6

3

4

5

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

What is the place value of 9 in the number 3.0492?

9/10000

9/100

9/1000

9/10

58 / 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		1	2	3	4	5
Frequency	1	2	7	5	4	3

What is the probability of selecting a student from the group that scored 2 or 3

6/11

5/22

1/11

7/22

59 / 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

14

16

12

10

60 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The sum of the interior angles of a polygon is a given as 1080^o. Find the number of the sides of the polygon.

8

5

7

6

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