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Place Value

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

Download free place value worksheets (PDF), GCSE maths past paper questions and worked solutions for Place Value (1G). 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 Maths Genie, Corbett Maths, Maths Takeaway, Dr Austin, Maths4EveryOne, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

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

Free Place Value PDF Worksheets & Answers

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GCSE Maths Grade 1 Revision Notes & Method

Guide to Place Value: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

The position of a digit in a number determines its place value: Thousands (1000), Hundreds (100), Tens (10), Units (1), Tenths (0.1 or 110), Hundredths (0.01 or 1100), and Thousandths (0.001).

When multiplying by 10, 100, or 1000, the digits move 1, 2, or 3 places to the left (making the number bigger). When dividing by 10, 100, or 1000, the digits move 1, 2, or 3 places to the right. Use this to adapt a given calculation.

Example 1: For the number 47 308.29, write down the value of: (a) the digit 7   (b) the digit 9

Solution:

(a) The digit 7 is in the thousands column:
• Value = 7000 (or seven thousand)
(b) The digit 9 is in the hundredths column:
• Value = 0.09 (or 9100, nine hundredths)
Answers: (a) 7000   (b) 0.09

Example 2: Given that 46 × 38 = 1748, write down the value of: (a) 4.6 × 3.8   (b) 174.8 ÷ 38

Solution:

(a) 46 is divided by 10 and 38 is divided by 10:
• Divide 1748 by 100 (10 × 10) → 17.48
(b) Since 1748 ÷ 38 = 46, and 174.8 is 10 times smaller:
• Divide 46 by 10 → 4.6
Answers: (a) 17.48   (b) 4.6
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Place Value Questions & Answers

Past Paper Example 1 GCSE Jun 2018 3F Q5 2 marks
Here are four digits.
7 3 4 9
(a) Use three of these digits to write down the largest possible 3-digit number. [1 mark]
(b) Here are four different digits. [1 mark]
+
8 2 1 6
Put one of these digits in each box to give the smallest possible answer to the sum.
You must use each digit only once.
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
9, 7, 4 gives 974 B1
Answer (a): 974
Part (b) Solution:
Put 1 and 2 in the tens columns: 16 + 28 = 44 (or 18 + 26 = 44) B1
1628+
Answer (b): 16 + 28 (or 18 + 26)
Past Paper Example 2 IGCSE Jun 2022 1FR Q1 3 marks
Here are four cards.
Each card has a number written on it.
3457
(a) Arrange the four cards to make the largest possible even number. [1 mark]
(b) Find this difference. [2 marks]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Even digit 4 at end, largest remaining in descending order: 7534 B1
Answer (a): 7534
Part (b) Solution:
Closest number is 3574 M1
3600 – 3574 = 26 A1
Answer (b): 26
Past Paper Example 3 IGCSE Nov 2023 2F Q1 4 marks
The table gives information about the weight of sugar produced by each of five countries in one year.
CountryWeight (tonnes)Japan72 900Barbados15 745Kenya592 668Gabon23 787Malaysia28 149
(a) Write the number 28 149 in words. [1 mark]
(b) Which of these five countries produced the greatest weight of sugar? [1 mark]
(c) Write down the value of the 8 in the number 23 787 [1 mark]
(d) Write the number 15 745 correct to the nearest thousand. [1 mark]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
28 149 in words C1
Answer (a): Twenty-eight thousand, one hundred and forty-nine
Part (b) Solution:
592 668 (Kenya) is largest B1
Answer (b): Kenya
Part (c) Solution:
8 is in tens column = 80 B1
Answer (c): 80
Part (d) Solution:
15 745 → 16 000 B1
Answer (d): 16 000

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