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JAMB MATHEMATICS PAST QUESTIONS

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1 / 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

2 / 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

123 degrees

117 degrees

137 degrees

3 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

3/2

2/1

-1

4 / 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.

5 / 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

6 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

15%

10%

35%

25%

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10%

8 / 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 3,600.00

N 2,400.00

9 / 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}

10 / 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

10 degrees

140 degrees

120 degrees

100 degrees

11 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If x₁₀ = 23₅. Find x

12 / 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.

9/20

2/10

11/20

1/10

13 / 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%

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

16 / 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?

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

18 / 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

-3≤t≤4

-2≤t≤3

-3≤t≤1

19 / 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

5/16

1/2

3/8

20 / 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?

3000

2000

4000

1000

21 / 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

22 / 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

23 / 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 = 2, y = – 1/2

x = 2, y = –1

x = 1, y = 1/2

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

2.4

25 / 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

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

27 / 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)

28 / 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°

46.8°

56.3°

48.6°

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 = 5

nth = 3

nth = 6

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3(2 + √5)

2(3 + √5)

3 √2 + 1

5(2 + √3)

31 / 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?

3/4

1/3

1/2

2/5

32 / 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

101.33cm

14.67cm

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

60 degrees

50 degree

40 degrees

55 degrees

34 / 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?

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, Find the value of < ROP

85 degrees

70 degrees

110 degrees

95 degrees

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given T = { even numbers from 1 to 12 }
N = {common factors of 6, 8 and 12}
Find T ∩ N

{2}

{2, 3, 4}

{3, 4, 6}

{2, 3}

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

157cm cube

175cm cube

155cm cube

145cm cube

38 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

40 / 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.

282m

148m

248m

382m

41 / 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

24cm

36cm

32cm

42 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

(24 + 4π)cm

(12 + 6π)cm

(12 + 4π)cm

(24 + 6 π)cm

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

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

45 / 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

0.07

1.03

1.0

46 / 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)

(2,3,9)

(2,3)

(2,3,6)

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

50 degree

70 degree

80 degree

60 degree

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

1.761

1.354

2.549

1.861

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

9/10

9/100

9/10000

9/1000

50 / 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?

N8,000

N14,200

N16,200

N12,000

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/2!2!2!

11!/9!2!2

11!/9!2 !

11!/2!2!

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MACICITA be arranged?

8!/2!2!2!

8!/3!2!

8!/2!

53 / 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, 5, 6, 7, 8, 9, 12, 15}

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

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

54 / 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}

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If √ (2x + 2) − √x =1 ,find x.

x = 3 or 1

x = 1 twice

x = 2 twice

x = 0 or 1

56 / 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

N257.42K

N125.40K

N136.30K

N132.50K

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10.2

11.2

11.3

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	0	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

1/11

7/22

5/22

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

40cm

52cm

43cm

15cm

60 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the x and y intercepts of the graph of 3x - z $\leq$ 9

(-3, 9)

(-3, -9)

(-3, 0)

(3, -9)

Your score is

JAMB MATHEMATICS PAST QUESTIONS (UTME)

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