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

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1. The smallest number by which 180 can be multiplied to obtain a perfect square is

2

5

4

3

2. 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

3. 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?

36

12

18

24

4. 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 = ?

R'

Q

R

P

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

105

70

35

210

6. The sum of prime numbers between 1 and 15 is

41

42

39

40

7. 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

8. Evaluate 313_{4} – 131_{4} + 333_{4}

1121 base 4

211 base 4

1312 base 4

1311 base 4

9. Find the number bases x and y from the following simultaneous equations 25_{x }- 23_{y }= 8_{10}

34_{x} - 32_{y }= 36_{10}

x=6, y=4

x = 3, y = 4

x = 2, y = 1

x = 10, y = 15

10. 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

12

15

8

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

3.125

4.250

5.375

2.200

12. 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

{-4

{x<0}

{}

{x< -4}

13. 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

60.0km/hr

53.3km/hr

65.0km/hr

14. If X = (a, b, c), Y = (a, b, c, d, e) and Z = (a, b, c, d, e, f, g) then (X∪Y)∩(X∪Z) is

(a, b, c)

()

(a, b, c, d, e, f, g)

(a, b, c, d, e)

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

find A/M : B/N

15:8

8:15

3:10

10:3

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

23

4

53

49

17. A school has 43 students in class 3A and 47 students in 3B. The average score in a test is 55 for class 3A and 60 for class 3B. The average score for both classes, correct to one decimal place, is

57.6

57.8

58.1

57.5

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

11(y + 101) = 1000y

110

10

11

111

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

3213 base 5

413 base 5

4132 base 5

3123 base 5

20. The value of (111_{2})^{2}, expressed in base 2 is

111111

110011

110001

100011

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

13.1

18.0

8.4

9.0

22. 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

$2375

$2272

$2488

$2500

23. Convert 69_{10 }to a number in base two

1010001

1001101

1000101

100101

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

4135 base 7

3141 base 7

3241 base 6

2431 base 6

25. The journey from Southampton to London usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed in km/hr is