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

Simplify 0.000215 x 0.000028 and express your answer in standard form.

A

6.03 x 109

B

6.02 x 109

C

6.03 x 10-9

D

6.02 x 10-9

E
Q2

If 50% is the pass mark, how many students passed the test?

A

100

B

85

C

80

D

70

E
Q3

A car uses one litre of petrol for every 14km. If one litre of petrol costs ₦63.00, how far can he car go with ₦900.00 worth of petrol?

A

420km

B

405km

C

210km

D

200km

E
Q4

Correct 0.002473 to 3 significant figures

A

0.002

B

0.0024

C

0.00247

D

0.0025

E
Q5

Simplify: 11/2 + 21/3 x 3/4 - 1/2

A

-21/3

B

-21/4

C

21/8

D

23/4

E
Q6

The sum of 2 consecutive whole numbers is 5/6 of their product, find the numbers.

A

3,4

B

1,2

C

2,3

D

0,1

E
Q7

Simplify: 2√3 - 6/√3 + 3/√27

A

1

B

1/3√3

C

2√3 - 52/3

D

6√3 - 17

E
Q8

The subtraction below is in base seven. Find the missing number

 5  1 6   2                                                                                                                                                                                 -2  6  4  4                                                                                                                                                                          -------------                                                                                                                                                                             2  *  1  5                                                                                                                                                                         -------------

A

2

B

3

C

4

D

5

E
Q9

The nth term of the sequence: -2, 4, -8, 16, ... is given by

A

Tn = 2n

B

Tn = (-2)n

C

Tn = (-2n

D

Tn = n²

E
Q10

Bola sold an article for ₦6,900.00 and made a profit of 15%. If he sold it for ₦6,600.00 he would make a

A

profit of 13%

B

loss of 12%

C

profit of 10%

D

loss of 5%

E
Q11

Simplify: (31/2) ÷ (5/6 - 2/3)

A

11/4

B

81/2

C

35

D

47

E
Q12

In a particular year, the exchange rate of Naira (₦) varies directly with the Dollar ($). If ₦1122 is equivalent to $8, find the naira equivalent of $36

A

₦8976

B

₦5049

C

₦140.25

D

₦31.17

E
Q13

If log 2 = x, log3 = y and log 7 = z, find, in terms of x, y and z, the value of log (28/3).

A

2x+y-z

B

2x+z-y

C

x+y-2z

D

x+z-y

E
Q14

Arrange the following numbers in descending order of magnitude: 22three, 34five, 21six,

A

21six, 22three, 34five

B

21six, 34five, 22three

C

22three, 34five, 21six

D

 34five, 21six, 22three

E
Q15

Find the value to which ₦3000.00 will amount in 5 years at 6% per annum simple interest.

A

₦3,900.00

B

₦3,750.00

C

₦3,600.00

D

₦3,300.00

E
Q16

Express the square root of 0.000144 in the standard form.

A

1.2 x 10-4

B

1.2 x 10-3

C

1.2 x 10-2

D

1.2 x 10-1

E
Q17

Two sets are disjoint if.

A

they are both empty

B

the union is an empty set

C

their intersection is an empty set

D

one of them is a subset of the other

E
Q18

Find bottles of Fanta and two packets of biscuits cost Gh ¢ 6.00. Three bottles of Fanta and four packets of biscuits cost Gh ¢ 5.00. Find the cost of a bottle of Fanta.

A

Gh¢ 0.50

B

Gh¢ 1.00

C

Gh¢ 1.50

D

Gh¢ 5.00

E
Q19

Express 2.7864 x 10-3 to two significant figures.

A

0.28

B

0.27

C

0.0028

D

0.0027

E
Q20

Simplify: 1/2 √32 - √18 + √2

A

0

B

√2

C

2√2

D

4√2

E
Q21
If x% of 240 equals 12, find x
A
x = 1
B
x =3
C
x = 5
D
x = 7
E
Q22

Evaluate (3.2)² - (4.8)²/3.2 + 4.8

A

-0.08

B

-1.60

C

-10.24

D

-12.80

E
Q23

Find the product of 0.0409 and 0.0021 leaving your answer in the standard form.

A

8.6 x 10-6

B

8.6 x 10-5

C

8.6 x 10-4

D

8.6 x 105

E
Q24

Simplify: √50 + 10/√2

A

10

B

10√2

C

20

D

20√2

E
Q25

P naira invested for 4 years at r% simple interest per annum yeilds 0.36 Pnaira interest. Find the value of r.

A

11/9

B

14/9

C

9

D

11

E
Q26

Convert 425 to a base three numeral

A

2013

B

2103

C

2113

D

2223

E
Q27

A trader bought 100 tubers of yam at 5 for ₦350.00. She sold them in sets of 4 for ₦290.00. Find her gain percent.

A

3.6%

B

3.5%

C

3.4%

D

2.5%

E
Q28

If 2n = 128, find the value of (2n-1)(5n-2)

A

5(106)

B

2(106)

C

5(105)

D

2(105)

E
Q29

Simplify log√8/ log4 - log2

A

2/3

B

1/2log2

C

3/2

D

log2

E
Q30

Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?

A

25

B

30

C

35

D

45

E
Q31

A train travels 60k in M minutes. if its average speed is 400km per hour, find the value of M.

A

15

B

12

C

10

D

9

E
Q32

Evaluate (111two)² and leave your answer in base two2

A

111001two

B

110001two

C

101001two

D

10010two

E
Q33

Find the LCM of 2³ x 3 x 5², 2 x 3² x 5

A

2² x 3³ x 5²

B

2³ x 3³ x 5

C

2² x 3² x 5²

D

2³ x 3³ x 5²

E
Q34

Simplify (0.3 x 105) ÷ (0.4 x 107), leaving your answer in the standard form

A

7.5 x 10-4

B

7.5 x 10-3

C

7.5 x 10-2

D

7.5 x 10-1

E
Q35

3√45 - 12√5 + 16 √20, leaving your answer in surd form.

A

29√5

B

14√15

C

12√15

D

11√5

E
Q36

The area of a square field is 110.25m². Find the cost of fencing it round at ₦75.00 per meter.

A

₦1,575.00

B

₦3,150.00

C

₦4,734.30

D

₦8,268.75

E
Q37

Find the value of an if log10 σ + log10 σ² = 0.9030

A

4.0

B

2.0

C

1.6

D

0.0

E
Q38

A messenger was paid ₦2.50 an hour during the normal working hours and 4.00 hour during overtime. If he received ₦31.00 for 10hours work, how many hours are for overtime?

A

2

B

3

C

4

D

6

E
Q39

At what rate per cent per annum will ₦520.00 yeild a simple interest of ₦39.00 in three years?

A

4%

B

31/2 %

C

3%

D

21/2%

E
Q40

If there were visitors in all, find the value of x

A

5

B

4

C

3

D

2

E
Q41

How many people took at least two kinds of food?

A

10

B

12

C

15

D

17

E
Q42

Evaluate (0.13)³ correct to three significant figures

A

0.00219

B

0.00220

C

0.00300

D

0.00390

E
Q43

Simplify: 11011two - 1101two

A

101000two

B

1100two

C

1110two

D

1011two

E
Q44

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

A

9/10000

B

9/1000

C

9/100

D

9/10

E
Q45

If the simple interest on a sum of money invested at 3% perannum for  21/2 years is ₦123, find the principal.

A

₦676.50

B

₦820

C

₦1,640

D

₦4,920

E
Q46

A machine valued at ₦20,000 depreciates by 10% every year. What will be the value of the machine at end of two years?

A

₦16,200

B

₦14,200

C

₦12,000

D

₦8,000

E
Q47

Find the value of k

A

0.5

B

1

C

1.5

D

2

E
Q48

Find the value of P

A

2

B

4

C

10

D

25

E
Q49

If loga270 - loga10 + loga1/3 = 2. What is the value of a ?

A

3

B

4

C

5

D

6

E
Q50

A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price.

A

1:4

B

1:5

C

3:4

D

4:5

E
Q51

Find the nth term of the sequence 5,10,20,40,80,...

A

5 x 2n+1

B

2 x 5n-1

C

5 x 2n-1

D

5 x 5n-1

E
Q52

If P = {1,3,5,7,9} and Q = {2,4,6,8,10} are subsets of a universal set. U = {1,2,3,4,5,6,7,8,9,10}. What are the elements of P' ∩ Q'?

A

{1,3,5,7,9}

B

{2,4,6,8,10}

C

Φ

D

{1,2,6,8,9,10}

E
Q53

20/ 5√28 - 2√63

A

5√7/7

B

5√5/7

C

7√5/5

D

7√7/5

E
Q54

Correct 0.04.945 to two significant figures.

A

0.040

B

0.049

C

0.050

D

0.049

E
Q55

Simiplify: 5/√3 - 3/√2

A

1/6 (5√3 - 3√2)

B

1/6 (15√3 - 6√2)

C

1/6 (3√2 - √23)

D

1/6 (10√3 - 9√2)

E
Q56

Evaluate, correct to the nearest whole number. 71/2 - (21/2 + 3) ÷ 33/2

A

33

B

8

C

7

D

0

E
Q57

Simplify the expression log1018 - log102.88 + log1016

A

31.12

B

3.112

C

2

D

1

E
Q58

Convert 101101two to a number in base ten.

A

61

B

46

C

45

D

44

E
Q59

log9 x = 1.5, find x.

A

36

B

27

C

24.5

D

13.5

E
Q60

A sequence is given by 21/2, 5, 71/2, ....  . If the nth term is 25, find n.

A

9

B

10

C

12

D

15

E