N16 Limits of accuracy and upper and lower bounds Quiz: AQA Maths, Unit 1

The 20 questions

1. A length is 12 cm to the nearest cm. What is its upper bound?

   • 12.49 cm
   • 13 cm
   • 12.5 cm
   • 11.5 cm

2. A number is 35 to the nearest 5. What is its lower bound?

   • 32.4
   • 32.5
   • 30
   • 35

3. A mass is 4.6 kg to 1 decimal place. What is its lower bound?

   • 4.55 kg
   • 4.6 kg
   • 4.56 kg
   • 4.5 kg

4. A rectangle is 3.5 cm by 2 cm, where 3.5 is to 1 decimal place and 2 is to the nearest cm. What is the lower bound of its area?

   • 5.25 cm²
   • 5.175 cm²
   • 7 cm²
   • 6.75 cm²

5. A distance is 150 m to 2 significant figures. What is its lower bound?

   • 145 m
   • 149.5 m
   • 140 m
   • 150 m

6. Four masses are each 7 kg to the nearest kg. Which statement about their total is correct?

   • The total is exactly 30 kg
   • The total is 32 kg
   • The total is 28 kg
   • The total is less than 30 kg

7. A length is 8.4 cm to 1 decimal place. What is its lower bound?

   • 8.3 cm
   • 8.35 cm
   • 8.45 cm
   • 8.34 cm

8. A mass is 0.6 kg to 1 decimal place. What is its upper bound?

   • 0.7 kg
   • 0.6 kg
   • 0.65 kg
   • 0.61 kg

9. A journey takes 3.5 hours to 1 decimal place at a steady 60 km/h. What is the least possible distance?

   • 180 km
   • 207 km
   • 215 km
   • 210 km

10. Calculate the upper bound of 2.4 + 1.6, each value given to 1 decimal place.

    • 4.2
    • 4
    • 4.05
    • 4.1

11. A value is 1.6 to 1 decimal place. What is the lower bound of 3 × 1.6?

    • 4.5
    • 4.7
    • 4.8
    • 4.65

12. A square has side 5 cm to the nearest cm. What is the lower bound of its area?

    • 25 cm²
    • 20.25 cm²
    • 20 cm²
    • 16 cm²

13. A mass is 12 g to the nearest gram and a volume is exactly 4 cm³. What is the upper bound of the density?

    • 3.5 g/cm³
    • 3 g/cm³
    • 3.25 g/cm³
    • 3.125 g/cm³

14. A value is 4.3 to 2 significant figures. Which inequality describes the value?

    • 4.25 < value ≤ 4.35
    • 4.3 ≤ value < 4.4
    • 4.2 ≤ value < 4.3
    • 4.25 ≤ value < 4.35

15. A length is 20 mm to the nearest 10 mm. What is its lower bound in cm?

    • 1.95 cm
    • 1 cm
    • 1.5 cm
    • 2 cm

16. Two whole numbers are rounded to 7 and 9. What is the lower bound of their sum?

    • 15.5
    • 15
    • 14
    • 16

17. Three masses are each 2.3 kg to 1 decimal place. Which statement about their total is correct?

    • The total is less than 6.75 kg
    • The total is exactly 6.9 kg
    • The total is less than 7.05 kg
    • The total is at least 7.05 kg

18. A value is 10.5 and another is 4.2, each to 1 decimal place. What is the lower bound of their difference?

    • 6.25
    • 5.9
    • 6.2
    • 6.3

19. A population is 1 500 000 to 2 significant figures. What is its upper bound?

    • 1 600 000
    • 1 500 000
    • 1 505 000
    • 1 550 000

20. A plank measures 120 cm to the nearest 10 cm. Which length is possible?

    • 126 cm
    • 110 cm
    • 116 cm
    • 130 cm

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