Mathletics - K2_probability_statistics_teacher - Answer.pdf

Probability and Statistics  T e ac h

er

Book  - Ser ies K  2  -

P(A)

Mathlecs Instant Workbooks

Copyright ©

Probability and statistics Topic Test Instructions

PART A This part consists of 10 multiple-choice questions Each question is worth 1 mark Attempt ALL questions Calculators are NOT to be used Fill in only ONE CIRCLE for each question

Time allowed: 15 minutes

Total marks = 10 Marks

1

From a pack of 52 cards, one card is drawn at random. Find the probability of  drawing a diamond. A

 2

6

B

1 3

1

C

2

D

2

3

1

1 6

B

2 3

1

C

3

D

2

1

4

6

B

7

C

D

8

9

1

10

B

20

C

D

30

40

1

6

B

7

C

D

8

9

1

6

B   4.538

C

4

1

D

8

1

D

4

1

D

5

7

B

9

C

4

The median of the numbers 6, 4, 9, 7, 4, 2, 8, is A

10

1

Find the range of the set of scores 8, 9, 12, 7, 9, 11, 8, 9, 5, 13, 7, 9. A

9

1

4

For the following set of scores, 3, 1, 4, 6, 5, 5, 7, 3, 4, 5, 4, 5, 7, the mode is A

8

4

The test marks of 10 students are 5, 9, 5, 7, 3, 7, 8, 7, 9, 7. What is the modal mark? A

7

3

D

For the set of scores, 10, 20, 50, 10, 60, what is the difference between the mean and the mode? A

6

13

1

C

For the set of scores, 5, 8, 3, 1, 9, 5, 6, 7, find the range. A

5

2

In a single throw of two dice, find the probability of throwing a double. A

4

13

B

In a single throw of one die, find the probability of throwing an odd number. A

3

1

8

B

6

C

5

The mean of the numbers 8, 10 and x is the same as the mean of the numbers 6, 8, 10 and 12. Find the value of x. A

6

B

9

C

D

10

12

Total marks achieved for PART A

Probability and statistics Mathletics Instant Workbooks – Series K 2 Copyright © 3P Learning

1

10

ii

Probability and statistics Topic Test Instructions

PART B

This part consists of 15 questions Each question is worth 1 mark Attempt ALL questions Calculators may be used

Time allowed: 20 minutes

Total marks = 15

Questions

Answers only

Marks

yellow.

___________________

1

 2

 blue.

___________________

1

3

not white.

___________________

1

A bag contains 3 yellow, 2 blue and 4 white balls. If a ball is drawn at random, find the probability that it is: 1

A coin is tossed three times and the results noted. Use a tree diagram to find the probability of: 4

three tails.

___________________

1

5

two tails and one head in any order.

___________________

1

6

at least one tail.

___________________

1

A pair of dice is rolled simultaneously. Find the probability of getting: 7

a double five.

___________________

1

8

any double.

___________________

1

9

a score greater than 9.

___________________

1

10

at least one six on the uppermost face of a die.

___________________

1

11

the sum of the two numbers rolled being 11.

___________________

1

12

two even numbers.

___________________

1

Use your calculator to find the mean and standard deviation, correct to one decimal place, for the following sets of scores. 13

8, 9, 6, 9, 7, 6, 6

___________________

1

14

12, 14, 9, 6, 1, 12

___________________

1

15

25, 33, 26, 56, 44, 41, 33, 25

___________________

1

Total marks achieved for PART B

Probability and statistics Mathletics Instant Workbooks – Series K 2 Copyright © 3P Learning

15

iii

Answers – Probability and statistics 1 PAGE 41 1 c

4 d 15

3 5

1 4

a

1 2

b 3 5

e 0 f

1 d 13

3 4

e

1 26

5 a 0 b 1 c

1 3

d 1 e

c

1 2

f

1 3

2 a 1 3

2 3

b

f 1 6 a

c

1 3

3 a

4 b 7

3 7

c

1 6

1 7

1 2

b

2 d 0 e 3

c 4 f 7

d 0 e

1 2

1 3

f

2 5

4 a

2 4 7 7 a b c 7 11 11

1 3

b

2 3 d 11 11

1 11

e 0 f

2 1 PAGE 42

a

1 8

1 PAGE 43 3

a

5 18

1 PAGE 44 4

a

3 8

b

5 18

b

7 8

c

2 3

c

1 3

5 9

2

4 25

2 a 12 b 1 6

c

d

5 18

e

1, 1

2, 1

3,1

4,1

5,1

6 ,1

1, 2

2, 2

3, 2

4, 2

5, 2

6 ,2

1, 3

2, 3

3, 3

4, 3

5, 3

6 ,3

1, 4

3, 4

3, 4

4, 4

5, 4

6 ,4

1, 5

2, 5

3, 5

4, 5

5, 5

6 ,5

1, 6

2, 6

3, 6

4, 6

5, 6

6 ,6

1

d

3 10

3 a

2

3 20

3 a

51 380

b

1 10

c

3 5

c

3 190

1 8

4 a

d

b

3 8

c

e

27 95

f

51 190

f

1 6

g

1 6

h

1 9

d

1 12

e

3 rolling one die 4

1 4

5

1 4

6 rolling one die

1 36

b

3 8

68 95

c

2 a

1 6

b

1 12

1 2

d

5 11

4 a 1 4

i

1 2

e

1 12

b

f 3 11

11

j

1 8

k 0

36

PAGE 45 5

1

2

24

2a

A

B

b 1

2

5

2

A B 1 15 3 2 6 9 4 12 5

15 10

24

P( BA)

=

7 13

P

1 3

=

P

=

78 10 11 13 14

3a

A

(1,1) (2,2)   (5,5) (3,3) (4,4) (6,6)

3 5

P

=

b

B

odd

(4,6)

(2,1) (1,2)

18

(6,4)

2 9

 4