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JAMB questions for "Mathematics :: Number and Numeration"
Q1

Given that log2 = 0.3010, log7 = 0.8451. Evaluate log 112.

A

3.1461

B

2.5441

C

2.1461

D

2.0491

E
Q2
In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers?
A
20
B
15
C
10
D
5
E
Q3
Express the product of 0.21 and 0.34 in standard form
A
7.14 10-4
B
7.14 10-3
C
7.14 10-2
D
7.14 10-1
E
Q4
Find r if 6r78 = 5119
A
6
B
5
C
3
D
2
E
Q5
A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in measurement?
A
0.80%
B
0.40%
C
0.25%
D
0.01%
E
Q6
At what rate will the interest on ₦400 increase to ₦24 in 3 years reckoning in simple interest?
A
5%
B
4%
C
3%
D
2%
E
Q7
If P : q = 2/3 : 5/6 and q : r = 3/4 : 1/2, find P:q:r
A
10 : 15 : 24
B
9 : 10 : 15
C
12 : 15 : 10
D
12 : 15 : 16
E
Q8
Simplify ( 3/4 of 4/9 91/2) 15/19
A
1/36
B
1/25
C
1/5
D
1/4
E
Q9
Which Mathematics Question Paper is given to you
A
Type A
B
Type B
C
Type C
D
Type D
E
Q10
Rationalize (2√3 + √5)/(√5 -√3)
A
3√15 +11
B
(3√15 + 11)/ 2
C
3√15 - 11
D
(3√15 - 11)/ 2
E
Q11
Evaluate (81/16) -1/4 X 2-1
A
1/6
B
1/3
C
3
D
6
E
Q12

Subtract 164189 from 186309

A

11219

B

 

21129

 

C

 

21139

 

D

 

22119

 

E
Q13

If 55x = 52 x = 7710, find x

A

5

B

6

C

7

D

10

E
Q14

Simplify 71/12 - 43/4 + 21/2

A

4

B

41/6

C

45/6

D

51/6

E
Q15

Evaluate 81.81 + 99.44) / (20.09 + 36.16) correct to 3 significant figures

A

6.21

B

3.22

C

2.78

D

2.13

E
Q16

A man bought second - hand photocopy machine for ₦34,000. He serviced it at a cost of ₦2,00 and then sold it at a profit of 15%. What was the selling price?

A

₦37 550

B

₦40 400

C

₦41 400

D

₦42 400

E
Q17

A student spent 1/5 of his allowances on books, 1/3 of the remainder on food and kept the rest for contingencies. What fraction was kept?

A

7/15

B

8/15

C

2/3

D

4/5

E
Q18

Solve 52(x-1) x 5x+1 = 0.04

A

1/3

B

1/4

C

-1/5

D

-1/3

E
Q19

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

A

3.4471

B

2.4471

C

1.4471

D

1.4071

E
Q20

If P = √rs³/t, express r in terms of p, s and t.

A

p²t/s³

B

 

p³t/s³

 

C

 

p³t/s²

 

D

 

pt/s³

 

E
Q21

If x = {n² + 1 : n is a positive integer and 1 ≤ n ≤ 5}, y = {5n : n is a positive integer and 1 ≤ n ≤ 5}, find x ∩ y.

A

{5, 10}

B

{5, 10, 15}

C

{2, 5, 10}

D

{5, 10, 15, 20}

E
Q22

Simplify 5 + √7/ 3 + √7

A

17 - √7

B

4 - √7

C

15 + √7

D

7 -  √7

E
Q23

Add 11012, 101112 and 1112

A

1110112

B

1101102

C

1010112

D

1010102

E
Q24

If 125x = 2010, find x.

A

2

B

3

C

4

D

5

E
Q25

Express 123456 to 3 significant figures

A

123000

B

124000

C

125000

D

126000

E
Q26

Calculate the simple interest on ₦7500 for 8 years at 5% per annum.

A

₦3000

B

₦600

C

₦300

D

₦150

E
Q27

A bookseller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books, how many customers has he altogether?

A

30

B

40

C

50

D

60

E
Q28

If logx1/2 64 = 3, find the value of x

A

4

B

16

C

32

D

64

E
Q29

Simplify 16-1/2 x 4-1/2 x 271/3

A

3/8

B

2/3

C

3/4

D

3/2

E
Q30

Evaluate (3/8 ÷ 1/2 - 1/3) / (1/8 x 2/3 + 1/3)

A

1/4

B

1/3

C

1/2

D

1

E
Q31

The cost of kerosene per litre increases from ₦60 to ₦85. What is the percentage rate of increase?

A

42%

B

41%

C

40%

D

25%

E
Q32

Find the value of x for which 2(32x-1) = 162

A

5/2

B

3/2

C

2/5

D

1/2

E
Q33

Simplify 3/5 + (2/7 x 4/3 + 4/9)

A

4/5

B

7/10

C

6/7

D

21/6

E
Q34

If log102 = x, express log10 12.5 in therms of x

A

2(1 + x)

B

2 + 3x

C

2(1 - x)

D

2 - 3x

E
Q35

A man made a profit of 5% when he sold an article for ₦60,000.00. How much would he have to sell the article to make a profit of 26%?

A

₦68,000

B

₦72,00

C

₦65,000

D

₦71,820

E
Q36

Given: P = {1, 3, 5, 7, 9, 11} and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q.

A

P n Q = Ø

B

P c Q 

C

Q c P

D

P = Q

E
Q37

Evaluate 1011²2 - 101²2

A

1100002

B

 

1102

 

C

 

11000002

 

D

 

110002

 

E
Q38

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets ₦600 and Lawal ₦800. How old is Lawal?

A

20 years

B

16 years

C

14 years

D

12 years

E
Q39

If X = {all perfect squares less than 40} and 

   Y = {all odd numbers from 1 to 15}, find X∩ Y.

A

{3, 9}

B

{9}

C

(9, 25}

D

{1,9}

E
Q40

The cost of renovating a 6m square room is ₦540. What is the cost of renovating a 9m square room?

A

₦720

B

₦810

C

₦1,620

D

₦1,215

E
Q41

Convert 22324 to a number in base six.

A

5406

B

2546

C

5536

D

4506

E
Q42

Calculate the logarithm to base 9 of 3-4 x 92 x (81)-1

A

0

B

2

C

-4

D

-2

E
Q43

Find the tax on an income of ₦20,000 if no tax is paid on the first ₦10,000 and tax is paid at ₦50 in ₦1000 0n the next ₦5000 and at ₦55 in ₦1,000 on the remainder. 

A

₦525

B

₦552

C

₦255

D

₦500

E
Q44

Simplify: (25)-1/2 x (27)1/3 + (121)-1/2 x (625)-1/4

A

14/5

B

9/11

C

3/275

D

34/55

E
Q45

Compute 1100112 + 111112

A

10100102

B

10010102

C

10001102

D

10001002

E
Q46

Simplify (7/9 - 2/3)  ÷ (1/3 + 2/5 ÷ 4/5)

A

11/12

B

5/6

C

2/15

D

1/5

E
Q47

If (k2)8 x 36 = 35(k4)5, what is the value of k?

A

2

B

4

C

1

D

3

E
Q48

Rationalize  2/6-5 √3

A

-12/39 + 10 √3/39

B

12/39 -10√3/39

C

-12/39 -10√3/39

D

12/39 + 10 √3/39

E
Q49

Simplify √12 - √3 / √12 + √3

 

A

1/3

B

1

C

0

D

3/5

E
Q50

If the interest of ₦150.00 for 2½ years is ₦4.50, find the interest of ₦250.00 for 6 months at the same rate.

A

₦15.00

B

₦1.50

C

₦18.00

D

₦7.50

E
Q51

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

A

2

B

0

C

3

D

1

E
Q52

The Venn diagram below shows a class of 40 students with the games they play. How many of the students play two games only?

A

16

B

4

C

19

D

15

E
Q53

Evalute 81¾ - 271/3/ 3 x 23

A

1

B

1/8

C

3

D

1/3

E
Q54

Find the value of m if 13m + 24m = 41m

A

5

B

2

C

6

D

8

E
Q55

If U = {x/x is a positive integer less than 10} and P = {x/x is prime factor of 30}, find the complement of P.

A

{1,4,7,8,9}

B

{1,2,4,7,8,9}

C

{1,2,4,5,7,8,9,}

D

{1,4,6,7,8,9}

E
Q56

A father decide to give 20% of his monthly income to his children as their allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the fathers monthly income if the second child got ₦3 000?

A

₦50 000

B

₦33 000

C

60 000

D

₦45 000

E
Q57

If log102 = 0.3010 and log103 = 0.4771, evaluate log104.5

A

0.4771

B

0.3010

C

0.6532

D

0.9542

E
Q58

Simplify 3½ - (21/3 x 11/4) + 3/5

A

111/60

B

11/60

C

211/60

D

21/60

E
Q59

In how many ways can 6 coloured chalks be  arranged if 2 are of the ame colour?

A

120

B

240

C

360

D

60

E
Q60

Find the value of t if the standard deviation o0f 2t, 3t,4t,5t, and 6t is √2.

A

3

B

1

C

4

D

2

E