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P3 Introduction to Decimals: Paper 4 Error Clinic
P3 Introduction to Decimals: Paper 4 Error Clinic
This paper gathers the decimal items pupils most often get wrong: comparing, carrying, borrowing, unit conversion and skipping tenths. Decide first, then read the answer and the note.
Direct answers Answers: 1 false (0.9 is 0.1 short of 1); 2 it is 1.2; 3 the digit is 3; 4 3.2; 5 6.1; 6 6 jiao; 7 1.0; 8 1.2; 9 120 centimetres; 10 it should be 3.7 and 3.8.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P3 Introduction to Decimals |
| Level | P3 |
02 Questions (10 items)
- FoundationTrue or false: 0.9 is greater than 1.
- FoundationWhat is wrong with “0.7 + 0.5 = 0.12”, and what is the correct answer?
- FoundationWhich digit of 0.35 is in the tenths place?
- IntermediateWork out 5.0 minus 1.8.
- IntermediateWork out 2.4 plus 3.7.
- IntermediateHow many jiao and fen are there in 0.6 dollars?
- ChallengeWork out 0.25 + 0.75 and state how the result compares with 1.
- ChallengeA pen costs 0.4 dollars. How much do 3 pens cost?
- ChallengeHow many centimetres are there in 1.2 metres?
- Error redoError clinic: “the next two one-place decimals after 3.6 are 3.7 and 4.0”. What is wrong?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | False. 0.9 is smaller than 1 by 0.1; it needs 0.1 more to reach 1. | The whole-number part 0 is smaller than 1, so 0.9 must be less than 1. |
| 2 | Writing 12 tenths as 0.12 is the slip. Twelve tenths make 1.2, so 1 is carried to the units place. | When tenths add up to ten or more, carry one to the units place instead of copying 12. |
| 3 | 3. The first digit after the point is the tenths place, so 0.35 has 3 tenths and 5 hundredths. | Count from the decimal point: tenths first, then hundredths. |
| 4 | 3.2. Treat 5.0 as 50 tenths and 1.8 as 18 tenths; 50 minus 18 leaves 32 tenths, which is 3.2. | Line up the points and borrow one from the units place. |
| 5 | 6.1. Four tenths plus seven tenths make eleven tenths: write 1 and carry 1, then 2 + 3 + 1 = 6. | Keep the points aligned and carry when the tenths reach ten. |
| 6 | 6 jiao and 0 fen, that is 60 fen in total. | One dollar is 10 jiao or 100 fen, so multiply by 10 and by 100. |
| 7 | 1.0, which equals 1. Twenty-five hundredths plus seventy-five hundredths make one hundred hundredths. | The hundredths add up to exactly one whole. |
| 8 | 1.2 dollars. Three times four tenths make twelve tenths, which is 1.2. | Multiply as whole numbers first, then place the decimal point. |
| 9 | 120 centimetres. One metre is 100 centimetres, and 1.2 times 100 is 120. | Multiply by 100, moving the point two places to the right. |
| 10 | Wrong. After 3.6 come 3.7 and 3.8; 3.8 and 3.9 cannot be skipped and 4.0 only comes after 3.9. | One-place decimals step by 0.1, so 3.8 and 3.9 must be counted. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
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