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

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

(2,3,18)

(2,3,6)

(2,3)

(2,3,9)

2 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

1/8a

1/4a

3 / 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

N365,217

N157,250

4 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-1 ≤ x ≤ 4

x ≤ -1, x ≥ 4

x ≤ -1, o ≤ x ≤ 4

x ≤ 4

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

9/100

9/1000

9/10

9/10000

6 / 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

₦ 35, 000

₦ 40,000

₦ 20,000

₦ 25,000

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = $\frac{22}{7}$ )

14.67cm

42.67cm

513.33cm

101.33cm

8 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the value of < OTQ

115 degrees

230 degrees

55 degrees

65 degrees

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7.51

5.5

7.55

7.71

10 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/9!2!2

11!/2!2!

11!/2!2!2!

11!/9!2 !

11 / 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

N828.00

N756.00

N720.00

12 / 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)

2x + 2y = 9

x + 2y = 8

2x + 3y = 8

2x + y = 9

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

1.354

2.549

1.861

1.761

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 4 √[(390695T− 8)½)]

1/T

5/T

T/5

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

5.40%

1.0%

2.5%

16 / 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, 2, 3, 5, 6, 8, 12, 15}

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

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

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

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given U = {xx is a positive integer less than 15} and P = {xx is even number from 1 to 14}. Find the compliment

{1, 3, 5, 7, 9, 11, 13}

{2, 3, 5, 7, 9, 11, 13}

{1, 3, 5, 7, 9, 11, 13, 15}

{2, 3, 5, 7, 11, 15}

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10.2

11.3

11.2

19 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

5(2 + √3)

3 √2 + 1

3(2 + √5)

2(3 + √5)

20 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The venn diagram shows a class of 50 students with the games they play. How many students play only two games

21 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

148cm square

1920cm square

296cm square

592cm square

22 / 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?

23 / 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?

4000

1000

2000

3000

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If duty is levied at 25%, find the duty to be added to a bill of N80.

N80

N150

N100

N20

25 / 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

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-2

-t

27 / 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.

28 / 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

29 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms

nth = 4

nth = 6

nth = 5

nth = 3

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify √30 × √40

20 √3

10 √3

15 √3

5 √3

31 / 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)

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

0.081

0.0081

8.0001

0.81

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find at which rate per annum simple interest N525 will amount to N588 in 3 years

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x = 7 or − 2

x = 5 or 1

x = 7 or 1

x = 7 or 0

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60^o.

(12 + 4π)cm

(12 + 6π)cm

(24 + 6 π)cm

(24 + 4π)cm

36 / 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?

20%

32%

60%

25%

37 / 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

38 / 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

13°

56.3°

48.6°

46.8°

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H

2.4

40 / 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

N1,640

N4,920

N676.50

41 / 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

42 / 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?

43 / 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?

44 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2

N132.50K

N125.40K

N136.30K

N257.42K

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

46 / 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.

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the simple interest on N325 in 5years at 3% per annum.

N15.75K

N50.10K

N48.75K

N75.50K

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

An arc subtends an angle of 30^o at the centre of a circle radius 12cm. Calculate the length of the arc.

2πcm

9πcm

6πcm

3πcm

49 / 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

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells 2/3 of her share to Taiwo for N720.00. Find the value of the store

N 3,000.00

N1,080.00

N 2,400.00

N 3,600.00

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If x + y = 90 simplify (sinx + siny)²−2sinx siny

-1

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If x₁₀ = 23₅. Find x

54 / 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?

N15,000

N40,000

N36,000

N44,000

55 / 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

1.03

0.03

56 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

1, ½

0, 2

2, ½

½ , 2

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10%

58 / 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

22m

20m

23m

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

15.7cm sqaure

10.3cm square

17.4cm square

50.3cm sqaure

60 / 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≤1

-3≤t≤4

-3≤t≤2

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