Secondary 3, Mathematics Worksheet 4 – TBC, ans & format issue
There are a total of 11 questions.
Time Limit: 90 minutes (1 1/2 hour)
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Completed:
a) 11 questions already input into LMS (including sub questions).
b) categorized
c) marks allocation – ok – amended
d) time limit – 1.5 hours – ok
e) model answers and workings / explanations – provided on PDF (problem: refer to followup for details)
To follow up:
a) review and determine if format (open answer / essay) / presentation is appropriate. Because of diagrams, this cannot be using text entry or unless, there are particular ones which would like to change format to fill in the blanks or multiple choice so as to minimize marking works for teachers.
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Question 1 of 37
1. Question
1 point(s)Solve the following:
A bag contains 5 red marbles, 2 green marbles and 3 blue marbles. A marble is picked at random. Find the probability that it is red.
CorrectIncorrect 
Question 2 of 37
2. Question
1 point(s)Solve the following:
A bag contains 5 red marbles, 2 green marbles and 3 blue marbles. A marble is picked at random. Find the probability that it is blue
CorrectIncorrect 
Question 3 of 37
3. Question
2 point(s)Solve the following:
A bag contains 5 red marbles, 2 green marbles and 3 blue marbles. A marble is picked at random. Find the probability that it is red or blue
CorrectIncorrect 
Question 4 of 37
4. Question
2 point(s)Solve the following:
A bag contains 5 red marbles, 2 green marbles and 3 blue marbles. A marble is picked at random. Find the probability that it is neither red or blue
CorrectIncorrect 
Question 5 of 37
5. Question
2 point(s)Solve the following:
Bag A contains 4 black balls and 2 white balls. Bag B contains 3 black balls and 5 white balls. If a ball is taken at random from each bag, find the probability that both balls are black
CorrectIncorrect 
Question 6 of 37
6. Question
2 point(s)Solve the following:
Bag A contains 4 black balls and 2 white balls. Bag B contains 3 black balls and 5 white balls. If a ball is taken at random from each bag, find the probability that both balls are of the same colour
CorrectIncorrect 
Question 7 of 37
7. Question
1 point(s)Solve the following:
Bag A contains 4 black balls and 2 white balls. Bag B contains 3 black balls and 5 white balls. If a ball is taken at random from each bag, find the probability that the two balls are of different colours
CorrectIncorrect 
Question 8 of 37
8. Question
1 point(s)Solve the following:
A card is selected at random from 20 cards numbering from 1 to 20.
Find the probability that the number on the card is even
CorrectIncorrect 
Question 9 of 37
9. Question
1 point(s)Solve the following:
A card is selected at random from 20 cards numbering from 1 to 20.
Find the probability that the number on the card is divisible by 3
CorrectIncorrect 
Question 10 of 37
10. Question
2 point(s)Solve the following:
A card is selected at random from 20 cards numbering from 1 to 20.
Find the probability that the number on the card is even and divisible by 3
CorrectIncorrect 
Question 11 of 37
11. Question
2 point(s)Solve the following:
A card is selected at random from 20 cards numbering from 1 to 20.
Find the probability that the number on the card is even
CorrectIncorrect 
Question 12 of 37
12. Question
1 point(s)Solve the following:
A box contains identical balls numbered from 1 to 50 inclusive. A ball is drawn at random. Find the probability that the ball drawn contains only a single digit
CorrectIncorrect 
Question 13 of 37
13. Question
2 point(s)Solve the following:
A box contains identical balls numbered from 1 to 50 inclusive. A ball is drawn at random. Find the probability that the ball drawn contains at least one digit 3
CorrectIncorrect 
Question 14 of 37
14. Question
2 point(s)Solve the following:
A box contains identical balls numbered from 1 to 50 inclusive. A ball is drawn at random. Find the probability that the ball drawn has a sum of its digits greater than 9
CorrectIncorrect 
Question 15 of 37
15. Question
2 point(s)Solve the following:
There are 5 green and 4 yellow counters in a bag. A counter is drawn at random, replaced before another counter is drawn. Find the probability that both counters are green
CorrectIncorrect 
Question 16 of 37
16. Question
2 point(s)Solve the following:
There are 5 green and 4 yellow counters in a bag. A counter is drawn at random, replaced before another counter is drawn. Find the probability that at least one counter is yellow
CorrectIncorrect 
Question 17 of 37
17. Question
2 point(s)Solve the following:
There are 5 green and 4 yellow counters in a bag. A counter is drawn at random, replaced before another counter is drawn. Find the probability that both counters are of the same colour
CorrectIncorrect 
Question 18 of 37
18. Question
1 point(s)Solve the following:
There are 5 green and 4 yellow counters in a bag. A counter is drawn at random, replaced before another counter is drawn. Find the probability that both counters are of different colours
CorrectIncorrect 
Question 19 of 37
19. Question
2 point(s)Solve the following:
Amanda has 3 pairs of red socks, 2 pairs of black socks and 5 pairs of white socks. She has 4 pairs of black pants and 1 pair of white pants. She selects a pair of socks and a pair of pants at random. Find the probability that she selects
a red pair of socks and a black pair of pants.CorrectIncorrect 
Question 20 of 37
20. Question
2 point(s)Solve the following:
Amanda has 3 pairs of red socks, 2 pairs of black socks and 5 pairs of white socks. She has 4 pairs of black pants and 1 pair of white pants. She selects a pair of socks and a pair of pants at random. Find the probability that she selects
a pair of socks and a pair of pants which are of the same colour.CorrectIncorrect 
Question 21 of 37
21. Question
1 point(s)Solve the following:
Three fair coins are tossed. Find the probability of getting 3 heads
CorrectIncorrect 
Question 22 of 37
22. Question
2 point(s)Solve the following:
Three fair coins are tossed. Find the probability of getting 2 heads and 1 tail
CorrectIncorrect 
Question 23 of 37
23. Question
2 point(s)Solve the following:
Three fair coins are tossed. Find the probability of getting at least 1 tail
CorrectIncorrect 
Question 24 of 37
24. Question
2 point(s)Solve the following:
A bag contains 3 green marbles, 5 red marbles and 1 brown marble. Two marbles are drawn at random from the bag, one after the other and are not replaced. Find the probability that the first marble drawn is green.
CorrectIncorrect 
Question 25 of 37
25. Question
2 point(s)Solve the following:
A bag contains 3 green marbles, 5 red marbles and 1 brown marble. Two marbles are drawn at random from the bag, one after the other and are not replaced. Find the probability that both marbles are of the same colour.
CorrectIncorrect 
Question 26 of 37
26. Question
1 point(s)Solve the following:
A bag contains 3 green marbles, 5 red marbles and 1 brown marble. Two marbles are drawn at random from the bag, one after the other and are not replaced. Find the probability that both marbles are of different colours.
CorrectIncorrect 
Question 27 of 37
27. Question
2 point(s)Solve the following:
A bag contains 3 green marbles, 5 red marbles and 1 brown marble. Two marbles are drawn at random from the bag, one after the other and are not replaced. Find the probability that at least one marble is red.
CorrectIncorrect 
Question 28 of 37
28. Question
1 point(s)Solve the following:
There are 12 women, 10 men, 6 girls and 8 boys in a group. A person is chosen at random from the group. Another person is chosen from the remaining people in the group. Find the probability that the first person chosen is a female.
CorrectIncorrect 
Question 29 of 37
29. Question
2 point(s)Solve the following:
There are 12 women, 10 men, 6 girls and 8 boys in a group. A person is chosen at random from the group. Another person is chosen from the remaining people in the group. Find the probability that the first person is an adult and the second is a child.
CorrectIncorrect 
Question 30 of 37
30. Question
2 point(s)Solve the following:
There are 12 women, 10 men, 6 girls and 8 boys in a group. A person is chosen at random from the group. Another person is chosen from the remaining people in the group. Find the probability that an adult is chosen on both times.
CorrectIncorrect 
Question 31 of 37
31. Question
2 point(s)Solve the following:
There are 12 women, 10 men, 6 girls and 8 boys in a group. A person is chosen at random from the group. Another person is chosen from the remaining people in the group. Find the probability that neither one of the person chosen is an adult.
CorrectIncorrect 
Question 32 of 37
32. Question
3 point(s)Solve the following:
A tin of cookies contains 5 round cookies, 4 square cookies and 1 triangular cookie. Amanda takes two cookies out randomly from the tin, one after another to eat.
Question: Draw a probability tree diagram to show the possible outcomes and their probabilities.
CorrectIncorrect 
Question 33 of 37
33. Question
3 point(s)Solve the following:
A tin of cookies contains 5 round cookies, 4 square cookies and 1 triangular cookie. Amanda takes two cookies out randomly from the tin, one after another to eat.
Question: Calculate the probability that
(i) the triangular cookie is taken out (1 mark)
(ii) no round cookie but at least one square cookie is taken out (2 marks)CorrectIncorrect 
Question 34 of 37
34. Question
1 point(s)Solve the following:
A tin of cookies contains 5 round cookies, 4 square cookies and 1 triangular cookie. Amanda takes two cookies out randomly from the tin, one after another to eat.
Question: if none of the cookies have been eaten, how many more triangular cookies must be added into the tin so that the probability of taking a triangular cookie from the tin become 2/3?
CorrectIncorrect 
Question 35 of 37
35. Question
3 point(s)Solve the following:
Marc has six 50cent coins and three 10cent coins in his pocket. He removes two coins at random from his pocket, without replacement.
Construct a probability tree diagram showing the possible outcomes and their probabilities.
CorrectIncorrect 
Question 36 of 37
36. Question
3 point(s)Solve the following:
Marc has six 50cent coins and three 10cent coins in his pocket. He removes two coins at random from his pocket, without replacement.
Find the probability that the total value of the two coins removed is
(i) 20 cents (1 mark)
(ii) 60 cents (1 mark)
(iii) $1 (1 mark)CorrectIncorrect 
Question 37 of 37
37. Question
4 point(s)Solve the following:
Marc has six 50cent coins and three 10cent coins in his pocket. He removes two coins at random from his pocket, without replacement.
Marc removes one more coin from his pocket. Find the probability that the total value of the three coins
(i) is $1.50 (2 marks)
(ii) is at most 70 cents (2 marks)CorrectIncorrect