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.

Goodluck

1 / 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 = 5

nth = 6

nth = 3

2 / 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

5x + 7y = 20

xy = 7

3 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The base in which the operation was performed was

5

2

4

6

4 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

155cm cube

157cm cube

175cm cube

145cm cube

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find x if 132_x = 70 _eight.

6

5

3

1

6 / 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?

160 litres

225 litres

720 litres

960 litres

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 = $\frac{22}{7}$ )

513.33cm

42.67cm

14.67cm

101.33cm

8 / 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°

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

30

48

60

20

10 / 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 + 2y = 9

2x + 3y = 8

11 / 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?

16

20

4

8

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the letters LEADER be arranged?

720

144

360

72

13 / 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

a circle of radius 4cm

perpendicular to point P at 4cm

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60^o

140 degrees

100 degrees

120 degrees

10 degrees

15 / 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?

N365,217

N257,000

N410,000

N157,250

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10.3cm square

50.3cm sqaure

17.4cm square

15.7cm sqaure

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

0.81

0.0081

8.0001

0.081

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

33

32

40

36

19 / 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?

N16,200

N14,200

N8,000

N12,000

20 / 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

10cm

5cm

10.5cm

12cm

21 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

9/100

9/10000

9/10

9/1000

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10

9

7

6

23 / 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

1/2

3/8

5/16

5/8

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 4 √[(390695T− 8)½)]

T/5

5/T

2T

1/T

25 / 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

26 / 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

27 / 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?

25

30

15

50

28 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

80 degree

60 degree

50 degree

70 degree

29 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

16

8

12

10

30 / 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

42

46

47

54

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

2/15

3/28

3/24

3/21

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10%

7%

5%

8%

33 / 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.

0

2

1

3

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If x₁₀ = 23₅. Find x

14

13

15

12

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/2!2!

11!/9!2!2

11!/2!2!2!

11!/9!2 !

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

4%

3%

2%

5%

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

35%

25%

15%

10%

38 / 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)

39 / 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≤2

-2≤t≤3

-3≤t≤4

-3≤t≤1

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x = 2, y = –1

x − 0, y = 1

x = 2, y = – 1/2

x = 1, y = 1/2

41 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-2

-t

t

2

42 / 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)

(2,3,6)

(2,3,9)

(2,3,18)

43 / 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

N1,080.00

N 2,400.00

N 3,600.00

N 3,000.00

44 / 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

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

60 degrees

55 degrees

50 degree

40 degrees

46 / 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

{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}

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

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

½ , 2

1, ½

2, ½

0, 2

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If √ (2x + 2) − √x =1 ,find x.

x = 0 or 1

x = 2 twice

x = 3 or 1

x = 1 twice

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

5(2 + √3)

2(3 + √5)

3 √2 + 1

3(2 + √5)

50 / 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

18

20

16

15

51 / 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.

24cm

28cm

36cm

32cm

52 / 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?

35

10

45

30

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7.55

7.71

7.51

5.5

54 / 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, 15}

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

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

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

55 / 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.

22m

23m

25m

20m

56 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

6

5

7

3

57 / 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.

N720.00

N684.00

N756.00

N828.00

58 / 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?

2/5

1/3

1/2

3/4

59 / 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

0.03

1.0

1.03

0.07

60 / 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

N125.40K

N136.30K

N132.50K

N257.42K

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