Home   >  Worksheets   >  GCSE questions by topic   >  Rounding

Rounding

Free Printable Rounding PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 1)

Download free rounding worksheets (PDF), GCSE maths past paper questions and worked solutions for Rounding (1H). This is a Grade 1 number topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from MathsLinks, Maths Genie, Corbett Maths, Maths Made Easy, Dr Austin, Maths4EveryOne, Metatutor, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our rounding revision notes and worked examples with diagrams, try real GCSE past paper rounding questions with step-by-step solutions, or download a PDF of all rounding worksheet links.

Free Rounding PDF Worksheets & Answers

Grade 1 • Topic 1H
Resource Questions Answers
Rounding questions & answers
Qs Ans
GCSE past paper questions & solutions
Qs Ans
Graded exam questions & solutions
Qs Ans
Practice Questions & answers
Qs Ans
Textbook Exercise & answers
Qs Ans
MME worksheet & model answers
Qs Ans
Practice grid / worksheet & answers
Qs Ans
KS2 SATs questions & solutions
Qs Ans
Topic worksheet & worked solutions
Qs Ans
Practice questions & answers
Qs Ans
Practice questions & answers
Qs Ans
GCSE topic booklet & answers
Qs Ans
PMT (Edxl)
Edexcel GCSE topic questions & solutions
Qs Ans
PMT (AQA)
AQA GCSE topic questions & solutions
Qs Ans
PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
Qs Ans
Interactive 10-question revision grid
Grid
Online topic notes & examples
Page
Interactive online lesson & practice
Page
Self-marking online worksheet
Page
GCSE Maths Grade 1 Revision Notes & Method

Guide to Rounding: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

To round any number, find the target accuracy column and draw a vertical cut-off line immediately to its right. Look at the decider digit just after the line: if it is 5 or more (5, 6, 7, 8, 9), round the target digit up by 1; if it is 4 or less (0, 1, 2, 3, 4), keep the target digit the same.

For decimal places (d.p.), count digits after the decimal point. For significant figures (s.f.), start counting from the very first non-zero digit on the left, and use placeholder zeros for whole numbers if needed to keep the place value.

Example 1: Round 64 839 to:
(a) the nearest 100   (b) 2 significant figures

Solution:

(a) Hundreds digit is 8: 64 8 | 39
• Decider digit is 3 (< 5), so 8 stays 8 → 64 800
(b) 2nd s.f. is 4 (thousands): 64 | 839
• Decider is 8 (≥ 5), round 4 up to 5 and fill zeros → 65 000
Answers: (a) 64 800   (b) 65 000

Example 2: Round 0.07854 to:
(a) 2 decimal places   (b) 2 significant figures

Solution:

(a) 2nd digit after point is 7: 0.07 | 854
• Decider is 8 (≥ 5), so 7 rounds up to 8 → 0.08
(b) First non-zero digit is 7, so 2nd s.f. is 8: 0.078 | 54
• Decider is 5 (≥ 5), so 8 rounds up to 9 → 0.079
Answers: (a) 0.08   (b) 0.079
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Rounding Questions & Answers

Past Paper Example 1 IGCSE Nov 2020 1F Q1 3 marks
The table gives information about the amount of crude oil, in barrels, produced per day by each of six countries in 2015
CountryCrude oil produced per day(number of barrels)Australia322 300Congo269 000Gabon213 300South Sudan220 000Thailand248 200Vietnam333 400
(a) Write down the name of the country that produced the least number of barrels of crude oil. [1 mark]
(b) Work out the difference between the number of barrels of crude oil produced by Vietnam and the number of barrels of crude oil produced by Australia. [1 mark]
(c) Write 248 200 correct to the nearest thousand. [1 mark]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Least is 213 300 = Gabon B1
Answer (a): Gabon
Part (b) Solution:
333 400 − 322 300 = 11 100 B1
Answer (b): 11 100 barrels
Part (c) Solution:
248 200 → 248 000 B1
Answer (c): 248 000
Past Paper Example 2 IGCSE Specimen 2F Q5 6 marks
Here are some facts about JFK International Airport.
Land covered1997 hectaresTotal runway length14 kilometresDistance to Texas2875 kilometresDistance to California4725 kilometres
(a) Write down the value of the 2 in the number 4725 [1 mark]
(b) Write the number 1997 correct to the nearest thousand. [1 mark]
(c) How much further? [2 marks]
(d) Change 14 kilometres into miles.
Use 8 kilometres = 5 miles.
[2 marks]
Worked Solution & Mark Scheme (6 marks)
Part (a) Solution:
20 B1
Answer (a): 20 (or 2 tens)
Part (b) Solution:
2000
Answer (b): 2000
Part (c) Solution:
4725 – 2875 = 1850 km M1 A1
Answer (c): 1850 kilometres
Part (d) Solution:
(14 ÷ 8) × 5 = 8.75 miles M1 A1
Answer (d): 8.75 miles
Past Paper Example 3 IGCSE Jan 2019 1FR Q1 3 marks
The table gives information about the lengths of five canals.
Name of canalLength (km)Danube-Black Sea95.6Kiel98.4Manchester58.3Panama77.1Suez193.3
(a) Which of these canals has the least length? [1 mark]
(b) Write 77.1 correct to the nearest 10 [1 mark]
(c) How many years old was the Kiel Canal on June 20th 2000? [1 mark]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Manchester
Answer (a): Manchester
Part (b) Solution:
80
Answer (b): 80
Part (c) Solution:
2000 − 1895 = 105 B1
Answer (c): 105 years

← 1G Place Value

Back to GCSE questions by topic

1J Negative numbers →