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

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1.

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

32

36

34

38

2.

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

2.200

4.250

3.125

5.375

3.

Find y if (y_{3})^{2} = 301_{4}

22

21

11

12

4.

Ebuka sold a radio set to Jenny at a profit of 10% and Jenny sold it for $2612.50 at a loss of 5%. The cost of the radio to Ebuka was

$2488

$2272

$2500

$2375

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 = ?

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

an infinite set

{0, 1, 2, 3}

{1, 2, 3}

6.

Solve for y in the following equation given in base two:

11(y + 101) = 1000y

110

111

11

10

7.

A worker's salary on appointment is £30,000 per annum. At an annual increment rate of 10%, his salary at the beginning of the third year is

£36,300

£39,000

£36,000

£39,930

8.

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

61 base 7

641 base 7

16 base 7

146 base 7

9.

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

{3, 5, 6}

{3}

{1, 2, 4}

{1, 2, 3, 4}

10.

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

£24,000

£84,000

£48,000

11.

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

11

10

8

9

12.

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

20

40

36

72

13.

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

£520.00

£540.00

£500.00

£480.00

14.

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

4

23

53

49

15.

The sum of the prime numbers between 40 and 50, divided by the sum of the prime numbers between 1 and 6 is

8.4

9.0

18.0

13.1

16.

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} Q ∪ R = ?

Q

P

R

R'

17.

If (1Y14)_{5} = 184_{10}, the value of Y is

3

2

4

0

18.

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

15

14

20

16

19.

Solve for x if (5x)_{7} = 37_{10}

3

6

2

4

20.

After getting a pay rise of 20%, a man's new annual salary is N21,600. His salary before the pay rise was

N17,700

N18,000

N16,680

N17,280

21.

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

W315 base 6

W352 base 6

22.

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

N42,000

N32,000

N24,000

N56,000

23.

A motorist drives Lagos to Abuja at an average speed of 80km/hr and immediately returns from Abuja to Lagos through the same route at an average speed of 50 km/hr. The average speed for the round trip journey is

53.3km/hr

65.0km/hr

62.5km/hr

60.0km/hr

24.

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

{2, 4, 6}

{3, 5, 6}

{1, 2, 4}

{1, 2, 3, 4, 5, 6}

25.

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?