Error intervals

Mark scheme and answers · Total marks: 50

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Question 1 [1 mark]

9.5 ≤ x < 10.5

Mark scheme
  • A [1] — cao 9.5 ≤ x < 10.5

Accept algebraically equivalent correct forms.

Question 2 [1 mark]

7 ≤ y < 8

Mark scheme
  • A [1] — cao 7 ≤ y < 8

Accept algebraically equivalent correct forms.

Question 3 [1 mark]

0.1 ≤ d < 0.2

Mark scheme
  • A [1] — cao 0.1 ≤ d < 0.2

Accept algebraically equivalent correct forms.

Question 4 [1 mark]

7.9995 ≤ c < 8.0005

Mark scheme
  • A [1] — cao 7.9995 ≤ c < 8.0005

Accept algebraically equivalent correct forms.

Question 5 [1 mark]

195 g ≤ m < 205 g

Mark scheme
  • A [1] — cao 195 g ≤ m < 205 g

Accept algebraically equivalent correct forms.

Question 6 [1 mark]

4.5 cm ≤ l < 5.5 cm

Mark scheme
  • A [1] — cao 4.5 cm ≤ l < 5.5 cm

Accept algebraically equivalent correct forms.

Question 7 [1 mark]

20.5 °C ≤ T < 21.5 °C

Mark scheme
  • A [1] — cao 20.5 °C ≤ T < 21.5 °C

Accept algebraically equivalent correct forms.

Question 8 [1 mark]

29500 ≤ p < 30500

Mark scheme
  • A [1] — cao 29500 ≤ p < 30500

Accept algebraically equivalent correct forms.

Question 9 [1 mark]

3.5 cm ≤ l < 4.5 cm

Mark scheme
  • A [1] — cao 3.5 cm ≤ l < 4.5 cm

Accept algebraically equivalent correct forms.

Question 10 [1 mark]

207 cm³ ≤ V < 273 cm³

Mark scheme
  • A [1] — cao 207 cm³ ≤ V < 273 cm³

Accept algebraically equivalent correct forms.

Question 11 [2 marks]

0.9985 ≤ g < 0.9995

Mark scheme
  • A [2] — cao 0.9985 ≤ g < 0.9995

Accept algebraically equivalent correct forms.

Question 12 [2 marks]

6 ≤ y < 7

Mark scheme
  • A [2] — cao 6 ≤ y < 7

Accept algebraically equivalent correct forms.

Question 13 [2 marks]

7.76 ≤ x+y < 7.78

Mark scheme
  • A [2] — cao 7.76 ≤ x+y < 7.78

Accept algebraically equivalent correct forms.

Question 14 [2 marks]

14.5 ≤ x < 15.5

Mark scheme
  • A [2] — cao 14.5 ≤ x < 15.5

Accept algebraically equivalent correct forms.

Question 15 [2 marks]

2.495 kg ≤ m < 2.505 kg

Mark scheme
  • A [2] — cao 2.495 kg ≤ m < 2.505 kg

Accept algebraically equivalent correct forms.

Question 16 [2 marks]

247.5 ml ≤ V < 252.5 ml

Mark scheme
  • A [2] — cao 247.5 ml ≤ V < 252.5 ml

Accept algebraically equivalent correct forms.

Question 17 [2 marks]

3.35 cm ≤ l < 3.45 cm

Mark scheme
  • A [2] — cao 3.35 cm ≤ l < 3.45 cm

Accept algebraically equivalent correct forms.

Question 18 [2 marks]

245 ml ≤ c < 255 ml

Mark scheme
  • A [2] — cao 245 ml ≤ c < 255 ml

Accept algebraically equivalent correct forms.

Question 19 [2 marks]

9.95 cm ≤ h < 10.15 cm

Mark scheme
  • A [2] — cao 9.95 cm ≤ h < 10.15 cm

Accept algebraically equivalent correct forms.

Question 20 [2 marks]

5.8 cm ≤ h < 6.2 cm

Mark scheme
  • A [2] — cao 5.8 cm ≤ h < 6.2 cm

Accept algebraically equivalent correct forms.

Question 21 [2 marks]

4.4435 ≤ x-y < 4.4445

Mark scheme
  • A [2] — cao 4.4435 ≤ x-y < 4.4445

Accept algebraically equivalent correct forms.

Question 22 [2 marks]

0.00045 ≤ k < 0.00055

Mark scheme
  • A [2] — cao 0.00045 ≤ k < 0.00055

Accept algebraically equivalent correct forms.

Question 23 [2 marks]

7.355 ≤ x < 7.365

Mark scheme
  • A [2] — cao 7.355 ≤ x < 7.365

Accept algebraically equivalent correct forms.

Question 24 [2 marks]

20.6 cm ≤ P < 21.0 cm

Mark scheme
  • A [2] — cao 20.6 cm ≤ P < 21.0 cm

Accept algebraically equivalent correct forms.

Question 25 [2 marks]

87.75 cm² ≤ A < 104.75 cm²

Mark scheme
  • A [2] — cao 87.75 cm² ≤ A < 104.75 cm²

Accept algebraically equivalent correct forms.

Question 26 [2 marks]

3.989 cm ≤ r < 3.996 cm

Mark scheme
  • A [2] — cao 3.989 cm ≤ r < 3.996 cm

Accept algebraically equivalent correct forms.

Question 27 [2 marks]

19.53125π cm³ ≤ V < 20.833375π cm³

Mark scheme
  • A [2] — cao 19.53125π cm³ ≤ V < 20.833375π cm³

Accept algebraically equivalent correct forms.

Question 28 [2 marks]

3.92 cm³ ≤ V < 4.08 cm³

Mark scheme
  • A [2] — cao 3.92 cm³ ≤ V < 4.08 cm³

Accept algebraically equivalent correct forms.

Question 29 [2 marks]

3.14 ≤ y < 3.15

Mark scheme
  • A [2] — cao 3.14 ≤ y < 3.15

Accept algebraically equivalent correct forms.

Question 30 [2 marks]

57.5 mph ≤ s < 62.5 mph

Mark scheme
  • A [2] — cao 57.5 mph ≤ s < 62.5 mph

Accept algebraically equivalent correct forms.