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

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1.

The number 83_{ten}, converted to base seven is

641 base 7

61 base 7

146 base 7

16 base 7

None

2.

How long will it take for a sum of money invested at 8% simple interest to double the original sum?

8 yrs

10.5 yrs

12.5 yrs

12 yrs

None

3.

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%?

$100,000

$80,000

$140,000

$160,000

None

4.

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

None

5.

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?

24

36

18

12

None

6.

In a test taken by 40 boys and x girls, the mean scores were 5.5 and 6 respectively for the boys and girls. If the total score was 412, the value of x is

38

32

36

34

None

7.

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

None

8.

The number 110101_{2} converted to base ten equals to_{}

23

4

49

53

None

9.

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

{2, 3}

{2, 4}

{3, 4}

{1, 2}

None

10.

If 101_{2} x P_{2 }= 11110_{2}, find the value of P

101

10

110

11

None

11.

The simple interest rate per annum at which a sum of N10,000 accumulates to N12,400 in three years is

17/2%

11%

8%

9%

None

12.

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

10

100

11

101

None

13.

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

2431 base 6

3141 base 7

4135 base 7

3241 base 6

None

14.

33 of the students in a grade 9 class play either football or table tennis. If 22 students play football and 18 play table tennis, how many students play football only?

15

17

11

7

None

15.

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

20

40

30

None

16.

The profit on a business was shared between two partners Tolu and Gbemi in the ratio 3 : 4. If Gbemi received N8,000 more than Tolu, the profit was

N56,000

N42,000

N24,000

N32,000

None

17.

Evaluate 11010_{2 }- 11011_{2 }+ 10011_{2}

11000 base 2

1001 base 2

11001 base 2

10010 base 2

None

18.

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

3 : 4

3 : 2

4 : 3

2 : 3

None

19.

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

20

14

15

16

None

20.

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 = ?

{1, 2, 3}

{0, 1, 2, 3}

an infinite set

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

None

21.

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

5 : 1

10 : 3

3 : 1

9 : 4

None

22.

If R = {2, 4, 6, 7} and S = {1, 2, 4, 8} find R∪S

{4}

{2,7}

{}

{1, 2, 4, 6, 7, 8}

None

23.

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

£105

£95

£92.50

None

24.

The baking recipe for a piece of brownie cake is given as 1.5 cups of sugar and 3.5 cups of flour. If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, the number of cups of sugar used is

20

15

8

12

None

25.

A sum of £50,000 was invested by two partners in a project which yielded £90,000. If the profit was shared in the ratio 3 : 5, the difference between the amounts received by the partners is