Cube numbers and cube roots

Mark scheme and answers · Total marks: 40

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Question 1 [1 mark]

27

Mark scheme
  • A [1] — cao 27

Accept algebraically equivalent correct forms.

Question 2 [1 mark]

5

Mark scheme
  • A [1] — cao 5

Accept algebraically equivalent correct forms.

Question 3 [1 mark]

2

Mark scheme
  • A [1] — cao 2

Accept algebraically equivalent correct forms.

Question 4 [1 mark]

1.5

Mark scheme
  • A [1] — cao 1.5

Accept algebraically equivalent correct forms.

Question 5 [1 mark]

8

Mark scheme
  • A [1] — cao 8

Accept algebraically equivalent correct forms.

Question 6 [1 mark]

125

Mark scheme
  • A [1] — cao 125

Accept algebraically equivalent correct forms.

Question 7 [1 mark]

3

Mark scheme
  • A [1] — cao 3

Accept algebraically equivalent correct forms.

Question 8 [1 mark]

4

Mark scheme
  • A [1] — cao 4

Accept algebraically equivalent correct forms.

Question 9 [1 mark]

64000 cm³

Mark scheme
  • A [1] — cao 64000 cm³

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Question 10 [1 mark]

5 cm

Mark scheme
  • A [1] — cao 5 cm

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Question 11 [1 mark]

27 and 8

Mark scheme
  • A [1] — cao 27 and 8

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Question 12 [1 mark]

8

Mark scheme
  • A [1] — cao 8

Accept algebraically equivalent correct forms.

Question 13 [1 mark]

6

Mark scheme
  • A [1] — cao 6

Accept algebraically equivalent correct forms.

Question 14 [1 mark]

224

Mark scheme
  • A [1] — cao 224

Accept algebraically equivalent correct forms.

Question 15 [1 mark]

316

Mark scheme
  • A [1] — cao 316

Accept algebraically equivalent correct forms.

Question 16 [1 mark]

27 cm³

Mark scheme
  • A [1] — cao 27 cm³

Accept algebraically equivalent correct forms.

Question 17 [2 marks]

y = 2x

Mark scheme
  • A [2] — cao y = 2x

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Question 18 [2 marks]

125

Mark scheme
  • A [2] — cao 125

Accept algebraically equivalent correct forms.

Question 19 [2 marks]

7.42 cm

Mark scheme
  • A [2] — cao 7.42 cm

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Question 20 [3 marks]

No, because no integer cubed equals 100

Mark scheme
  • A [3] — cao No, because no integer cubed equals 100

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Question 21 [1 mark]

12

Mark scheme
  • A [1] — cao 12

Accept algebraically equivalent correct forms.

Question 22 [1 mark]

2.5

Mark scheme
  • A [1] — cao 2.5

Accept algebraically equivalent correct forms.

Question 23 [1 mark]

512 cm³

Mark scheme
  • A [1] — cao 512 cm³

Accept algebraically equivalent correct forms.

Question 24 [1 mark]

16

Mark scheme
  • A [1] — cao 16

Accept algebraically equivalent correct forms.

Question 25 [1 mark]

8

Mark scheme
  • A [1] — cao 8

Accept algebraically equivalent correct forms.

Question 26 [1 mark]

16

Mark scheme
  • A [1] — cao 16

Accept algebraically equivalent correct forms.

Question 27 [1 mark]

1.2

Mark scheme
  • A [1] — cao 1.2

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Question 28 [2 marks]

6

Mark scheme
  • A [2] — cao 6

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Question 29 [2 marks]

3 m

Mark scheme
  • A [2] — cao 3 m

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Question 30 [4 marks]

n³ - n = (n-1)n(n+1)

Mark scheme
  • A [4] — cao n³ - n = (n-1)n(n+1)

Accept algebraically equivalent correct forms.