Question

1. A bag contains 4 blue and 8 black balls. What is the probability in decimal of picking a black ball at random from the bag?

2. A bag contains 12 green, 4 red and 8 yellow balls. What is the probability expressed in percentage of picking yellow ball from the bag?

3. Maakua throws a die once. What is the probability of getting an even number?. Express your answer as a ratio.

4. Cards are numbered from 10 to 20. If two cards are picked at random one after the other with replacement. What is the probability in decimal of picking the first card which is an odd number?

5. Abag contains 4 red and6 black balls. A ball is selected at random from the bag after which it is replaced and a second ball selected. Using a tree diagram, what is the probability that: the first ball selected is red

6. the second ball selected is red if the first ball was also red. Express your answer in decimal.

7. the second ball selected is black if the first ball Was red. Express your answer in percentage.

8. (a) Using a pair of compasses and ruler only, Construct triangle ABC Such that |AB|=1Ocm, angle ABC = 30o and |BC| =8cm. Measure angle ACB. Construct a perpendicular rom C to meet line AB at D. Measure CD. (b) Calculate the area of triangle ABC

9. Using a ruler and a pair of compasses only: (a) Construct triangle ABC in which
|AB| = 6cm, | AC] = 10cm and

| BC| = 8cm. Measure <ABC.

Let the bisectors meet at O.

(b) Construct the perpendicular bisector (mediator) of AB and BC

(c) Construct a circle with centre O and radius |OA”|.

(d) Measure the radius of the circle.

10. Construct a triangle ABC such hat |AB| = 9cm, angle BAC = 60° and angle ABC = 45°.
Construct a line from the point C perpendicular to AB and let it meet AB at P. Measure |CP| and |AP| (b) What is the value of angle ACP?

11. Eight men can do a piece of work in 12 days. How long will 6 men take to do the same work if they work at the same rate?

12. A driver takes 30 minutes to complete a journey when he travels at 60km/h, How long will it take to complete the same distance at 50km/h

13. Three (3) pipes take 60 minutes to water the garden. How will it take 6 pipes to water the same portion of garden?

14. Five tickets of fare cast GHZ125.00. How much would 25 ticket cost, at the same rate?

15. Three boys weeded a piece of land in 4 hours. How long would it take 18 boys to weed the same piece of land weeding at the same rate?

16. If 5 men paint a wall in 10 hours, how many hours will 8 men paint the same wall, working at the same rate?

17. It takes 6 men, 9 hours to dig a hole 30m deep. How long would it take 10 men to dig the hole if they work at the same rate?

18. Each students of JHS 2 received GH120.00 from the M.C.E. If there are 384 students in the class, what is the total amount of money collected?

19. There are 9 columns in classroom. Each column has 15 s seats. How many seats are there in the class?

20. A farm has 56 rows of mango trees. If there are 180 trees in each row, What is the total number of trees in the farm?

21. Mr. Badu received 900 notes from the bank. If the value of each note is GH50.00, what is the total amount of money received by Mr. Badu?

22.Aku receives GH¢2,700.00 a month as salary. How much will she receive as salary in one year?

23. A library has 176 shelves. In each shelf there are 350 books. How many books are there in the library?

24. Our heat beats in about 72 times in a minute. How many times will it beat an hour?

25. A truck has 230 crates of Fanta. If each crate has 24 bottles of Fanta, what is the total number of fata bottles in the truck?

26. A group of 376 students went on an excursion, Each student paid GH350.00 at t the gate. What is the total amount of money collected at the gate?

Find the simple interest on GH600.00 saved for 2 years 8 months at 5A truck has 230 crates of Fanta. If each crate has 24 bottles of Fanta, what is the total number of fata bottles in the truck?
A group of 376 students went on an excursion, Each student paid GH350.00 at t the gate. What is the total amount of money collected at the gate?
Find the simple interest on GH600.00 saved for 2 years 8 months at 5% per annum

Answer 1

[AI-generated answer — Bot GPT 3.5]

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