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

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

11(y + 101) = 1000y

10

111

11

110

2. In a Year 12 class of 45 students, every student has to offer either Chemistry or Economics or both. If 25 students offer Chemistry while 34 offer Economics, how many students offer both subjects?

11

20

15

14

3. 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

62.5km/hr

65.0km/hr

53.3km/hr

60.0km/hr

4. If U = {5, 6, 7, 8}, P ={6, 7} and Q = {6, 8}, then, (P∩Q)' is

{6, 7}

{5, 6, 7}

{5, 7, 8}

{5, 8}

5. The prime factors of 1260 are

2,3,5,7

2,5,9

2,3,7,9

2,7,9

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

32

38

36

34

7. If 101010_{2 }= x_{10 }+ 1111_{2,} the value of x is

32

19

13

27

8. The ratio of the price of a tin of milk to that of a packet of sugar is m : p. If the price of milk now goes up by 25% while that of sugar goes up by 15%, the new ratio of the prices is

25m : 23p

23m : 25p

3p : 5m

5p : 3m

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

3241 base 6

2431 base 6

4135 base 7

3141 base 7

10. GATE Academy registers 300 candidates for an examination. 180 of the candidates offer Economics and 70 offer Geography. 80 candidates offer neither Economics nor Geography. The number of candidates offering both Economics and Geography is

60

40

50

30

11. 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%

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

8 yrs

12.5 yrs

10.5 yrs

12 yrs

13. 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?

7

11

6

8

14. If P = {3, 1, 0, 5}; Q = {2, 3, 8, 1, 4} and R = {7, 6, 5}, then P ∩ Q ∩ R is

{0}

{ }

{1}

{1,3,5}

15. 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 : 2

3 : 4

2 : 3

4 : 3

16. If R = {x : x² = 16, x > 5}, then R is equal to

{0}

{}

{5}

0

17. If E = {k, m, n, p, r}, X = {k, m, n, r}, and Y = {k, n, p},

find X' ∩ Y'

{p, r, s, n}

{k, m, n}

{m, n}

{}

18. 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

N792

N990

N858

N715

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

{2, 3}

{1, 2}

{2, 4}

{3, 4}

20. The smallest length of a rod which can be cut into exactly equal sections, each of either 30cm or 36cm in length is

90cm

540cm

180cm

360cm

21. 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

N56,000

N24,000

N32,000

22. 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% profit

12% loss

18.5% profit

23. 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

19

11

14

16

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