"Number and Numeration" question number distribution across years

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Mathematics index on skoool nigeria

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 10^{9}

B

6.02 x 10^{9}

C

6.03 x 10^{-9}

D

6.02 x 10^{-9}

E

**Answer:** D

Q2

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

A

100

B

85

C

80

D

70

E

**Answer:** B

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

**Answer:** D

Q4

Correct 0.002473 to 3 significant figures

A

0.002

B

0.0024

C

0.00247

D

0.0025

E

**Answer:** C

Q5

Simplify: 1^{1}/_{2} + 2^{1}/_{3} x ^{3}/_{4} - ^{1}/_{2}

A

-2^{1}/_{3}

B

-2^{1}/_{4}

C

2^{1}/_{8}

D

2^{3}/_{4}

E

**Answer:** D

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

**Answer:** C

Q7

Simplify: 2√3 - 6/√3 + 3/√27

A

1

B

^{1}/_{3}√3

C

2√3 - 5^{2}/_{3}

D

6√3 - 17

E

**Answer:** B

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

**Answer:** A

Q9

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

A

T_{n} = 2^{n}

B

T_{n} = (-2)^{n}

C

T_{n} = (-2n^{ }) ^{}

D

T_{n} = n²

E

**Answer:** B

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

**Answer:** C

Q11

Simplify: (3^{1}/_{2}) ÷ (^{5}/_{6} - ^{2}/_{3})

A

1^{1}/_{4}

B

8^{1}/_{2}

C

35

D

47

E

**Answer:** D

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

**Answer:** B

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

**Answer:** B

Q14

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

A

21_{six}, 22_{three}, 34_{five}

B

21_{six}, 34_{five}, 22_{three}_{}

C

22_{three, }34_{five}, 21_{six}

D

_{ }34_{five}, 21_{six, }22_{three}

E

**Answer:** D

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

**Answer:** A

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

**Answer:** C

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

**Answer:** C

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

**Answer:** B

Q19

Express 2.7864 x 10^{-3} to two significant figures.

A

0.28

B

0.27

C

0.0028

D

0.0027

E

**Answer:** C

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

**Answer:** B

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 10^{5}

E

**Answer:** B

Q25

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

A

1^{1}/_{9}

B

1^{4}/_{9}

C

9

D

11

E

**Answer:** C

Q26

Convert 42_{5} to a base three numeral

A

201_{3}

B

210_{3}

C

211_{3}

D

222_{3}

E

**Answer:** C

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

**Answer:** C

Q28

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

A

5(10^{6})

B

2(10^{6})

C

5(10^{5})

D

2(10^{5})

E

**Answer:** D

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

**Answer:** C

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

**Answer:** B

Q32

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

A

111001_{two}

B

110001_{two}

C

101001_{two}

D

10010_{two}

E

**Answer:** B

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

**Answer:** D

Q34

Simplify (0.3 x 10^{5}) ÷ (0.4 x 10^{7}), 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

**Answer:** B

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

**Answer:** A

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

**Answer:** B

Q37

Find the value of an if log_{10} σ + log_{10} σ² = 0.9030

A

4.0

B

2.0

C

1.6

D

0.0

E

**Answer:** C

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

**Answer:** C

Q39

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

A

4%

B

3^{1}/_{2} %

C

3%

D

2^{1}/2%

E

**Answer:** D

Q41

How many people took at least two kinds of food?

A

10

B

12

C

15

D

17

E

**Answer:** D

Q42

Evaluate (0.13)³ correct to three significant figures

A

0.00219

B

0.00220

C

0.00300

D

0.00390

E

**Answer:** B

Q43

Simplify: 11011_{two} - 1101_{two}

A

101000_{two}

B

1100_{two}

C

1110_{two}

D

1011_{two}

E

**Answer:** C

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

**Answer:** B

Q45

If the simple interest on a sum of money invested at 3% perannum for 2^{1}/_{2} years is ₦123, find the principal.

A

₦676.50

B

₦820

C

₦1,640

D

₦4,920

E

**Answer:** C

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

**Answer:** A

Q49

If log_{a}270 - log_{a}10_{ }+_{ }log_{a}1/3 = 2. What is the value of a ?

A

3

B

4

C

5

D

6

E

**Answer:** A

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

**Answer:** D

Q51

Find the n^{th} term of the sequence 5,10,20,40,80,...

A

5 x 2^{n+1}

B

2 x 5^{n-1}

C

5 x 2^{n-1}

D

5 x 5^{n-1}

E

**Answer:** C

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

**Answer:** C

Q53

^{20}/ _{5√28 - 2√63}

A

^{5√7}/_{7}

B

^{5√5}/_{7}

C

^{7√5}/_{5}

D

^{7√7}/_{5}

E

**Answer:** A

Q54

Correct 0.04.945 to two significant figures.

A

0.040

B

0.049

C

0.050

D

0.049

E

**Answer:** C

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

**Answer:** D

Q56

Evaluate, correct to the nearest whole number. 7^{1}/_{2} - (2^{1}/_{2} + 3) ÷ ^{33}/_{2}

A

33

B

8

C

7

D

0

E

**Answer:** C

Q57

Simplify the expression log_{10}18 - log_{10}2.88 + log_{10}16

A

31.12

B

3.112

C

2

D

1

E

**Answer:** C

Q60

A sequence is given by 2^{1}/_{2}, 5, 7^{1}/_{2}, .... . If the n^{th} term is 25, find **n**.

A

9

B

10

C

12

D

15

E

**Answer:** B