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P3 Introduction to Decimals: Paper 3 Challenge
P3 Introduction to Decimals: Paper 3 Challenge
This paper asks for reasoning and application: build the largest one-place decimal from two digits, count the one-place decimals between 3.7 and 4.2, then cost three pens, carry in an addition, subtract from 10, step by 0.1 nine times, compare heights and masses, and correct an ordering slip. Answers and notes are included.
Direct answers Items 01 to 03 cover the largest decimal, counting between two numbers and unit price times quantity, 04 to 06 cover carrying, subtracting from 10 and a +0.1 sequence, 07 to 09 apply decimals to height, mass and difference, and 10 corrects skipping tenths.
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)
- FoundationUsing the digits 5 and 2, make the largest one-place decimal with one digit before and one after the point. What is it?
- FoundationHow many one-place decimals lie strictly between 3.7 and 4.2?
- FoundationA pen costs $4.5. How much do three pens cost?
- IntermediateWhat is 2.6 plus 3.7?
- IntermediateWhat is 10 minus 3.6?
- IntermediateStarting at 0.2 and adding 0.1 nine times, what number do you reach?
- ChallengeMing is 1.4 m tall and his brother is 0.3 m taller. How tall is the brother?
- ChallengeA box of biscuits weighs 0.8 kg. What is the mass of five boxes?
- ChallengeWhat is the difference between 5.4 and 4.5?
- Error redoCorrect this: after 3.6 the next two one-place decimals are 3.7 and 4.0.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 5.2. | Put the larger digit in the ones place and 2 in tenths, giving 5.2. |
| 2 | 4. | They are 3.8, 3.9, 4.0 and 4.1, so 4 in all. |
| 3 | $13.5. | 45 tenths times 3 make 135 tenths, that is $13.5. |
| 4 | 6.3. | 6 tenths plus 7 tenths make 13 tenths: write 3 and carry 1, then 2 plus 3 plus 1 make 6, giving 6.3. |
| 5 | 6.4. | Treat 10 as 100 tenths; take away 36 tenths and 64 tenths remain, that is 6.4. |
| 6 | 1.1. | 0.2 is 2 tenths; adding 9 tenths gives 11 tenths, which is 1.1. |
| 7 | 1.7 m. | 14 tenths plus 3 tenths make 17 tenths, that is 1.7 m. |
| 8 | 4.0 kg. | 8 tenths times 5 make 40 tenths, that is 4.0 kg. |
| 9 | 0.9. | 54 tenths minus 45 tenths leave 9 tenths, that is 0.9. |
| 10 | Wrong. After 3.6 come 3.7, 3.8 and 3.9, and only then 4.0; the digits 3.8 and 3.9 cannot be skipped. | Count every tenth, so 4.0 only follows 3.9. |
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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