Elective Maths 19
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Question 1 of 20
1. Question
A committee consisting of 1 girl and 2 boys is to be formed out of 5 boys and 6 girls. In how many ways can this be done?
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Question 2 of 20
2. Question
In how many ways can 3 books be selected from 9 different books?
Â
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Question 3 of 20
3. Question
Given that
, find the value of n.
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Question 4 of 20
4. Question
If
find the value of r.
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Question 5 of 20
5. Question
A class consists of eight boys and seven girls. A team of three boys and two girls is to be selected from the class. Find the number of possible teams.
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Question 6 of 20
6. Question
A class consists of eight boys and seven girls. A team of three boys and two girls is to be selected from the class. If a particular boy and girl must be on the team, find the number of possible teams.
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Question 7 of 20
7. Question
In calculating the mean of 8 numbers, a girl mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean.
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Question 8 of 20
8. Question
If standard deviation of the numbersX1, the X2, standardX3 and X4 is 1.71, find the standard deviation of 3x 1,3x 2, 3x 3 and 3x 3.
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Question 9 of 20
9. Question
The ages in years of five members of a club are 14, 12, 13, 11 and 15. Calculate the standard deviation of their ages.
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Question 10 of 20
10. Question
The ages (in years) of five girls are 6, 8, 6, 5 and 10. Calculate the standard deviation of their ages.
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Question 11 of 20
11. Question
The mean of the eight numbers 4, 6, 4, 7, x, x+1, 8 and 2 is 5. Find x.
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Question 12 of 20
12. Question
Find the variance of the numbers 9, 3, 8, 8, 9, 8, 9 and 18.
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Question 13 of 20
13. Question
Four groups of students, consisting of 10, 15, 18 and 22 individuals, have mean heights of 1.60, 1.57, 1.46 and 1.52 meters respectively. Calculate the mean height of all the students.
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Question 14 of 20
14. Question
The image of a point P under a translation by the vector 221 – 9j is P'(10,10). Find the coordinates of P.
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Question 15 of 20
15. Question
Q'(3,5) is the image of Q under a linear transformation, T-. Find the coordinates of Q.
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Question 16 of 20
16. Question
A linear transformation T is defined by T: (x, y)
(2x – y, 3x+2y). Find the image of
(2, – 4) under T.CorrectIncorrect -
Question 17 of 20
17. Question
In a translation in the plane, the image of P(5,2) is P'(7,3). Find the image of Q(-3,0) under the translation.
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Question 18 of 20
18. Question
In a translation in the plane, the image of P(5,2) is P'(7,3). Find the image of Q(-3,0) under the translation.
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Question 19 of 20
19. Question
The point (-1 ,- 2) is reflected in the line x=2 and then rotated anticlockwise through 2700 about the origin. Find its image.
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Question 20 of 20
20. Question
Determine the image of the point (q, – q) under a clockwise rotation through 900 about the origin.
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