Welcome to your Numbers(Senior Class Math Study by Topics)

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1.

110111_{two} – X_{ten} = 10101_{two}, find X

36

24

34

16

2.

Three girls, Tireni, Jessy & Pryanka shared a packet of sweets. If Tireni received 2/5 of the sweets, Jessy received 5/9 of the remainder and Pryanka got 8 sweets. How many sweets were in the packet?

25

30

40

20

3.

If the Universal set U = {x: x is a natural number and 1 ≤ x ≤ 9} P = {x: 1 ≤ x ≤4} Q = {2, 4, 6, 8}

Find (P ∪ Q)'

{2, 3}

{6, 4, 9}

{9}

{5, 7, 9}

4.

If X = {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X∩Y)∪X are

{1, 2, 4}

{3, 5, 6}

{1, 2, 3, 4}

{3}

5.

The ratio of the age of a father to that of his son is 9 : 2. If the son is now 8 years old, the ratio of their ages in 4 years time will be

10 : 3

5 : 1

3 : 1

9 : 4

6.

P and Q are two sets such n(P ∪ Q) is 50, n(P) is 40 and n(Q) is 18. What is n(P ∩ Q)

8

58

32

108

7.

A worker is allowed 10% of her income tax free and pays 15% on the remainder. If her tax amounts to $2,970, her income is

$28,000

$20,000

$25,000

$22,000

8.

A sum of money invested at a simple interest rate R increases to 5/3 times the original sum after 5 years. The value of R is

13.3%

10.5%

6.0%

9.0%

9.

A businessman invested a total of $200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of $11,600, how much did he invest at 7%?

$80,000

$160,000

$100,000

$140,000

10.

A dealer makes a profit of 20% by selling a crate of soft soft drinks for £600.00. The cost of the crate of soft drinks to the dealer was

£500.00

£480.00

£520.00

£540.00

11.

The speed of 144 kilometres per hour, expressed in metres per second is

72

36

40

20

12.

A housewife bought five tubers yam at W34 per tuber and three oranges at W5 each where W is the currency reckoned in base six. The total amount spent by the housewife is

W315 base 6

W352 base 6

W225 base 6

W252 base 6

13.

The sum of prime numbers between 1 and 15 is

39

41

40

42

14.

If A : B = 3 : 4 and M : N = 2 : 5,

find A/M : B/N

3:10

8:15

15:8

10:3

15.

A plumber's daily wage is £80 for the first 10 days and £100 for the next 9 days. Find the daily wage for the remaining 6 working days of the month, if his average daily wage for the month is £90.80

£110

£92.50

£95

£105

16.

A school went into a sports fiesta with a contingent which includes 11 footballers and 8 sprinters. If 3 of the footballers are also sprinters, how many of the students are either footballers or sprinters

16

14

11

19

17.

Given that P = {1, 3, 4} and Q = {2, 3, 4}, then P∩Q is

{1, 2}

{2, 4}

{2, 3}

{3, 4}

18.

Two men and six boys can cut a field in 3 hours. If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2hrs?

4

8

9

6

19.

If 14_{twelve }= y_{eight, }the value of y is

20

14

15

16

20.

In a Yr 8 class of 60 students in a Nigerian school, 40 speak Hausa while 19 speak Igbo and 7 students speak both languages. How many students speak neither of the languages?

11

8

6

7

21.

The number 635_{eight}, converted to base five is

3213 base 5

3123 base 5

413 base 5

4132 base 5

22.

Two brothers Kameel and Kafeel owned a business in which the ratio of shares was 3 : 2 respectively. Kafeel later sold ½ of his share to Kameel for £12,000. The value of the business was

£24,000

£84,000

£60,000

£48,000

23.

The prime factors of 1260 are

2,5,9

2,3,7,9

2,7,9

2,3,5,7

24.

A trader sold an article for N 660.00 at a profit of 20%. In order to make a profit of 30%, the article should have been sold for