Tree diagrams

Mark scheme and answers · Total marks: 60

Rate this booklet

How would you rate this worksheet overall (questions, layout, and answers together)? Tap the stars from the left up to the score you mean, then press Confirm rating. You can change your mind any time.

Average: 4.7 / 5 · sample

Question 1 [1 mark]

0.7627

Mark scheme
  • A [1] — cao 0.7627

Accept algebraically equivalent correct forms.

Question 2 [1 mark]

0.058

Mark scheme
  • A [1] — cao 0.058

Accept algebraically equivalent correct forms.

Question 3 [1 mark]

0.38

Mark scheme
  • A [1] — cao 0.38

Accept algebraically equivalent correct forms.

Question 4 [1 mark]

3

Mark scheme
  • A [1] — cao 3

Accept algebraically equivalent correct forms.

Question 5 [1 mark]

Tree diagram: first flip H (12) or T (12); second from each H (12) or T (12).

Mark scheme
  • A [1] — cao Tree diagram: first flip H (1⁄2) or T (1⁄2); second from each H (1⁄2) or T (1⁄2).

Accept algebraically equivalent correct forms.

Question 6 [1 mark]

16

Mark scheme
  • A [1] — cao 16

Accept algebraically equivalent correct forms.

Question 7 [1 mark]

425

Mark scheme
  • A [1] — cao 4⁄25

Accept algebraically equivalent correct forms.

Question 8 [3 marks]

Tree diagram with branches: first draw R (35) or B (25); second draw from each R (35) or B (25).

Mark scheme
  • A [1] — cao Tree diagram with branches: first draw R (3⁄5) or B (2⁄5); second draw from each R (3⁄5) or B (2⁄5).

Accept algebraically equivalent correct forms.

Question 9 [3 marks]

Tree diagram: Monday Rain (0.3) or No Rain (0.7); Tuesday from Rain: Rain (0.6) or No Rain (0.4); from No Rain: Rain (0.2) or No Rain (0.8).

Mark scheme
  • A [1] — cao Tree diagram: Monday Rain (0.3) or No Rain (0.7); Tuesday from Rain: Rain (0.6) or No Rain (0.4); from No Rain: Rain (0.2) or No Rain (0.8).

Accept algebraically equivalent correct forms.

Question 10 [3 marks]

0.032

Mark scheme
  • A [1] — cao 0.032

Accept algebraically equivalent correct forms.

Question 11 [2 marks]

3

Mark scheme
  • A [2] — cao 3

Accept algebraically equivalent correct forms.

Question 12 [3 marks]

0.2

Mark scheme
  • A [2] — cao 0.2

Accept algebraically equivalent correct forms.

Question 13 [2 marks]

28165

Mark scheme
  • A [2] — cao 28⁄165

Accept algebraically equivalent correct forms.

Question 14 [2 marks]

0.18

Mark scheme
  • A [2] — cao 0.18

Accept algebraically equivalent correct forms.

Question 15 [2 marks]

715

Mark scheme
  • A [2] — cao 7⁄15

Accept algebraically equivalent correct forms.

Question 16 [2 marks]

0.9375

Mark scheme
  • A [2] — cao 0.9375

Accept algebraically equivalent correct forms.

Question 17 [2 marks]

0.0394

Mark scheme
  • A [2] — cao 0.0394

Accept algebraically equivalent correct forms.

Question 18 [2 marks]

0.9025

Mark scheme
  • A [2] — cao 0.9025

Accept algebraically equivalent correct forms.

Question 19 [2 marks]

116

Mark scheme
  • A [2] — cao 1⁄16

Accept algebraically equivalent correct forms.

Question 20 [3 marks]

Tree diagram: first student French-only (725), German-only (325), both (525), neither (1025); second without replacement with adjusted probabilities.

Mark scheme
  • A [2] — cao Tree diagram: first student French-only (7⁄25), German-only (3⁄25), both (5⁄25), neither (10⁄25); second without replacement with adjusted probabilities.

Accept algebraically equivalent correct forms.

Question 21 [2 marks]

10125 or 225

Mark scheme
  • A [2] — cao 10⁄125 or 2⁄25

Accept algebraically equivalent correct forms.

Question 22 [2 marks]

11

Mark scheme
  • A [2] — cao 11

Accept algebraically equivalent correct forms.

Question 23 [2 marks]

1528

Mark scheme
  • A [2] — cao 15⁄28

Accept algebraically equivalent correct forms.

Question 24 [2 marks]

0.784

Mark scheme
  • A [2] — cao 0.784

Accept algebraically equivalent correct forms.

Question 25 [2 marks]

0.16

Mark scheme
  • A [2] — cao 0.16

Accept algebraically equivalent correct forms.

Question 26 [2 marks]

122

Mark scheme
  • A [2] — cao 1⁄22

Accept algebraically equivalent correct forms.

Question 27 [3 marks]

Tree diagram: first flip H (0.6) or T (0.4); second from each H (0.6) or T (0.4); third similarly.

Mark scheme
  • A [2] — cao Tree diagram: first flip H (0.6) or T (0.4); second from each H (0.6) or T (0.4); third similarly.

Accept algebraically equivalent correct forms.

Question 28 [2 marks]

0.0396

Mark scheme
  • A [2] — cao 0.0396

Accept algebraically equivalent correct forms.

Question 29 [2 marks]

125

Mark scheme
  • A [2] — cao 1⁄25

Accept algebraically equivalent correct forms.

Question 30 [3 marks]

710

Mark scheme
  • A [2] — cao 7⁄10

Accept algebraically equivalent correct forms.

© Maths Vault · mathsvault.uk