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

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1.

Solve for x if 404_{five }= 150_{x}

7

6

9

8

2.

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

£60,000

£84,000

£48,000

£24,000

3.

If 301_{ a }= 193_{10}, the value of a is

7

5

8

6

4.

Evaluate 313_{4} – 131_{4} + 333_{4}

1121 base 4

1311 base 4

1312 base 4

211 base 4

5.

The universal set U contains all integers. Subsets of U are defined as P = {x : x ≤ 3} Q = {x : -5 < x < 12} R = {x : -2 ≤ x < 5} P ∩ (Q ∪ R)' is

{x< -4}

{}

{-4

{x<0}

6.

The lowest common multiple of the prime numbers between 1 and 10 is

105

35

210

70

7.

Which of the following fractions is less than one quarter?

14/55

3/11

21/80

17/70

8.

If (x_{2})^{3} = 11011_{2}, the value of x is

100

101

11

10

9.

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}

10.

A grocer sells an article for £54 at a profit of 8%. What is her percentage profit or loss if she sells the same article for £44?

18.5% loss

12% loss

12% profit

18.5% profit

11.

The universal set U contains all integers. Subsets of U are defined as P = {x : x ≤ 3} Q = {x : -5 < x < 12} R = {x : -2 ≤ x < 5} P ∩ Q = ?

an infinite set

{-4, -3, -2, -1, 0, 1, 2, 3}

{0, 1, 2, 3}

{1, 2, 3}

12.

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%?

$140,000

$80,000

$100,000

$160,000

13.

If 45% of the Nigerian naira (N) is equal to 35% of a foreign currency $, the conversion rate of $ to N is $1 =

N 20/9

N 7/9

N 9/7

N 20/7

14.

What is the value of 5410_{6 }- 2535_{6 }

2431 base 6

4135 base 7

3241 base 6

3141 base 7

15.

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

4132 base 5

3213 base 5

3123 base 5

413 base 5

16.

A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. The ratio of the area of the rectangle to that of the square is

2 : 3

4 : 3

3 : 2

3 : 4

17.

A number of chocolates were shared out among three children Kafeel, Tara and Kameel in the ratio 2:3:4 respectively.

If Kameel got 8, how many sweets were shared out?

12

18

36

24

18.

The number 101.011_{2} converted to base ten is equal to

4.250

2.200

3.125

5.375

19.

If 641_{x }+ 156_{x }= 807x, the number base x is

10

9

11

8

20.

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

16

20

15

14

21.

Divide the L.C.M of 36, 54 and 90 by their H.C.F

15

20

45

30

22.

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)

58

32

108

8

23.

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

W252 base 6

W225 base 6

W352 base 6

W315 base 6

24.

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