Robinson Tuition
Grade 5 · Foundation and Higher · free GCSE maths worksheet

Error intervals from rounding

Writing 2.5 <= x < 3.5 style intervals.

15 original questions, 34 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

The mass of a parcel is 340 g, correct to the nearest 10 g.

Complete the error interval for the mass, m grams, of the parcel.

....... ≤ m < .......

2 marks
Show answer
335 ≤ m < 345
2

The length of a pencil is 27 cm, correct to the nearest centimetre.

Complete the error interval for the length, L cm, of the pencil.

....... ≤ L < .......

2 marks
Show answer
26.5 ≤ L < 27.5
3

The attendance at a football match is 5600, correct to the nearest 100

Complete the error interval for the attendance, n.

....... ≤ n < .......

2 marks
Show answer
5550 ≤ n < 5650
4

The length of a ribbon is 7.5 m, correct to the nearest half metre.

Complete the error interval for the length, L metres, of the ribbon.

  ....... ≤ L < .......

2 marks
Show answer
7.25 ≤ L < 7.75
5

The mass of a cat is 8.3 kg, correct to 1 decimal place.

Complete the error interval for the mass, w kg, of the cat.

....... ≤ w < .......

2 marks
Show answer
8.25 ≤ w < 8.35
6

Ali says the crowd at a rugby match was 600, correct to the nearest 100.

Bea says the crowd at a different match was 600, correct to the nearest 10.

  1. Write down the error interval for the crowd Ali describes.
  2. Write down the error interval for the crowd Bea describes.
  3. Whose figure tells you the crowd size more accurately? Give a reason.
4 marks
Show answer
a) 550 ≤ n < 650 b) 595 ≤ n < 605 c) Bea, her error interval is narrower
7

The time taken for a ball to roll down a ramp is 4.70 seconds, correct to 2 decimal places.

Complete the error interval for the time, t seconds.

....... ≤ t < .......

2 marks
Show answer
4.695 ≤ t < 4.705
8

A bag of flour has a mass of 1.5 kg, correct to the nearest 0.1 kg.

  1. Write down the error interval for the mass, m kg, of the flour.
  2. Could the actual mass of the flour be exactly 1.55 kg? Give a reason for your answer.
3 marks
Show answer
a) 1.45 ≤ m < 1.55 b) No, 1.55 is the upper bound and is not included (it would round to 1.6)
9

A number d is truncated to 1 decimal place.

The result is 12.4

Complete the error interval for d.

....... ≤ d < .......

2 marks
Show answer
12.4 ≤ d < 12.5
10

A digital scale shows the weight of a suitcase as 52 kg.

The scale truncates the weight to a whole number of kilograms.

Complete the error interval for the weight, w kg, of the suitcase.

....... ≤ w < .......

2 marks
Show answer
52 ≤ w < 53
11

A number x is 470, correct to 2 significant figures.

Complete the error interval for x.

....... ≤ x < .......

2 marks
Show answer
465 ≤ x < 475
12

A number y is 0.08, correct to 1 significant figure.

Complete the error interval for y.

....... ≤ y < .......

2 marks
Show answer
0.075 ≤ y < 0.085
13

A number k is 15.0, correct to 3 significant figures.

Complete the error interval for k.

....... ≤ k < .......

2 marks
Show answer
14.95 ≤ k < 15.05
14

A number p is truncated to 2 decimal places.

The result is 7.26

Complete the error interval for p.

....... ≤ p < .......

2 marks
Show answer
7.26 ≤ p < 7.27
15
  1. Write down the reciprocal of 0.4
  2. A number q is rounded to 2 significant figures.

    The result is 2.5

    Complete the error interval for q.

    ....... ≤ q < .......

3 marks
Show answer
a) 2.5 b) 2.45 ≤ q < 2.55

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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