1. Probability of picking a black ball = 8/12 = 2/3 = 0.67
2. Probability of picking a yellow ball = 8/24 = 1/3 = 33.33%
3. Probability of getting an even number = 3/6 = 1/2
4. Probability of picking an odd number = 5/11 ≈ 0.45
5. Probability of first ball selected is red = 4/10 = 2/5 = 0.4
Probability of second ball selected is red given the first ball was red = 4/10 = 0.4
Probability of second ball selected is black given the first ball was red = 6/10 = 0.6
8. Angle ACB can be measured using the sine rule.
Area of triangle ABC = (1/2) * 10 * 8 * sin(30°) = 20cm²
9. The angle ABC can be measured using the cosine rule.
The radius of the circle can be measured using the Pythagorean theorem.
10. CP can be measured using trigonometry.
Angle ACP can be calculated using the properties of triangles.
11. Work done = Number of men * Number of days
8 * 12 = 6 * x
x = (8 * 12) / 6 = 16 days
12. Time taken = Distance / Speed
30 minutes = Distance / 60 km/h
Distance = 30 minutes * 60 km/h = 30 km
Time taken at 50 km/h = 30 km / 50 km/h = 0.6 hours or 36 minutes
13. 3 pipes take 60 minutes to water the garden.
6 pipes will take = 60 minutes / 3 = 20 minutes to water the same portion of the garden.
14. Cost of 1 ticket = 125 / 5 = 25
Cost of 25 tickets = 25 * 25 = GH625
15. Time taken = Number of boys / Time taken
18 boys will take = 4 hours / 3 = 1.33 hours or 1 hour and 20 minutes
16. Time taken = Number of men / Time taken
8 men will take = 10 hours * 5 / 8 = 6.25 hours or 6 hours and 15 minutes
17. Time taken = Number of men * Time taken
10 men will take = 6 * 9 / 10 = 5.4 hours or 5 hours and 24 minutes
18. Total amount collected = Number of students * Amount per student = 384 * 120 = GH46080.00
19. Total number of seats = Number of columns * Number of seats per column = 9 * 15 = 135 seats
20. Total number of trees = Number of rows * Number of trees per row = 56 * 180 = 10080 trees
21. Total amount received = Number of notes * Value per note = 900 * 50 = GH45000
22. Salary in one year = 2700 * 12 = GH32400
23. Total number of books = Number of shelves * Number of books per shelf = 176 * 350 = 61600 books
24. Heartbeats per hour = 72 * 60 = 4320
25. Total number of Fanta bottles = Number of crates * Number of bottles per crate = 230 * 24 = 5520 bottles
26. Total amount collected at the gate = Number of students * Amount per student = 376 * 350 = GH131600
27. Simple interest = (Principal * Rate * Time) / 100
= (600 * 5 * 2.67) / 100 = GH80.10