"Number and Numeration" question number distribution across years

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Mathematics index on skoool nigeria

JAMB questions for "Mathematics :: Number and Numeration"

Q1

Given that log^{2} = 0.3010, log^{7} = 0.8451. Evaluate log 112.

A

3.1461

B

2.5441

C

2.1461

D

2.0491

E

**Answer:** D

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

**Answer:** A

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

**Answer:** C

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

**Answer:** A

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

**Answer:** D

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

**Answer:** C

Q9

Which Mathematics Question Paper is given to you

A

Type A

B

Type B

C

Type C

D

Type D

E

**Answer:** A

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

**Answer:** B

Q12

Subtract 16418_{9} from 18630_{9}

A

1121_{9}

B

2112_{9}

C

2113_{9}

D

2211_{9}

E

**Answer:** D

Q14

Simplify 7^{1}/_{12 -} 4^{3}/_{4} + 2^{1}/_{2}

A

4

B

4^{1}/_{6}

C

4^{5}/_{6}

D

5^{1}/_{6}

E

**Answer:** C

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

**Answer:** B

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

**Answer:** C

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

**Answer:** B

Q19

If log_{10}2 = 0.3010 and log_{10}7 = 0.8451, evaluate log_{10}280

A

3.4471

B

2.4471

C

1.4471

D

1.4071

E

**Answer:** B

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

**Answer:** A

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

**Answer:** A

Q23

Add 1101_{2}, 10111_{2} and 111_{2}

A

111011_{2}

B

110110_{2}

C

101011_{2}

D

101010_{2}

E

**Answer:** C

Q25

Express 123456 to 3 significant figures

A

123000

B

124000

C

125000

D

126000

E

**Answer:** A

Q26

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

A

₦3000

B

₦600

C

₦300

D

₦150

E

**Answer:** A

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

**Answer:** B

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

**Answer:** D

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

**Answer:** A

Q32

Find the value of x for which 2(3^{2x-1}) = 162

A

5/2

B

3/2

C

2/5

D

1/2

E

**Answer:** A

Q34

If log_{10}2 = x, express log_{10} 12.5 in therms of x

A

2(1 + x)

B

2 + 3x

C

2(1 - x)

D

2 - 3x

E

**Answer:** D

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

**Answer:** D

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

**Answer:** A

Q37

Evaluate 1011²_{2} - 101²_{2}

A

110000_{2}

B

110_{2}

C

1100000_{2}

D

11000_{2}

E

**Answer:** C

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

**Answer:** B

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

**Answer:** D

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

**Answer:** B

Q41

Convert 2232_{4} to a number in base six.

A

540_{6}

B

254_{6}

C

553_{6}

D

450_{6}

E

**Answer:** D

Q42

Calculate the logarithm to base 9 of 3^{-4} x 9^{2} x (81)^{-1}

A

0

B

2

C

-4

D

-2

E

**Answer:** D

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

**Answer:** C

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

**Answer:** D

Q45

Compute 110011_{2} + 11111_{2}

A

1010010_{2}

B

1001010_{2}

C

1000110_{2}

D

1000100_{2}

E

**Answer:** A

Q47

If (k2)_{8} x 3_{6} = 3_{5}(k4)_{5}, what is the value of k?

A

2

B

4

C

1

D

3

E

**Answer:** A

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

**Answer:** C

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

**Answer:** B

Q51

If 321_{4} is divided by 23_{4} and leaves a remainder r, what is the value of r?

A

2

B

0

C

3

D

1

E

**Answer:** A

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

**Answer:** D

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

**Answer:** D

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

**Answer:** A

Q57

If log_{10}2 = 0.3010 and log_{10}3 = 0.4771, evaluate log_{10}4.5

A

0.4771

B

0.3010

C

0.6532

D

0.9542

E

**Answer:** C

Q58

Simplify 3½ - (2^{1}/_{3} x 1^{1}/_{4}) + ^{3}/_{5}

A

1^{11}/_{60}

B

1^{1}/_{60}

C

2^{11}/_{60}

D

2^{1}/_{60}

E

**Answer:** A

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

**Answer:** C

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

**Answer:** B