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P1 Hong Kong Coins: Paper 3 Challenge
P1 Hong Kong Coins: Paper 3 Challenge
This paper puts coins into multi-step settings: total divided by quantity for unit price, splitting bills, saving targets, how many items fit with change left, and making an amount with the fewest pieces.
Direct answers Answers: 1 $2.50 each; 2 $24.50 change; 3 $12.00; 4 $18.90 each; 5 15 days, 40 dollars in 8 days; 6 8 books with $4.00 left; 7 $15.00; 8 4 pieces; 9 45 dollars; 10 no, notes are fine.
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: P1 Hong Kong Coins |
| Level | P1 |
02 Questions (10 items)
- FoundationA box of 12 eggs costs 30 dollars. What is the average price of one egg?
- FoundationThree packs of biscuits cost 8 dollars 50 cents each. What is the change from 50 dollars?
- FoundationRice costs 24 dollars per kilogram. What does half a kilogram cost?
- IntermediateTwo friends split a bill of 37 dollars 80 cents equally. How much does each pay?
- IntermediateSaving 5 dollars a day, how many days are needed for 75 dollars, and how much is saved in 8 days?
- ChallengeHow many 12-dollar books can 100 dollars buy, and what is left over?
- IntermediateThree items cost 4 dollars 20 cents, 3 dollars 80 cents and 7 dollars. What is the total?
- ChallengeUsing 10, 5 and 2 dollar pieces, what is the fewest needed to make 19 dollars?
- ChallengeFive 2-dollar coins, three 5-dollar notes and two 10-dollar notes are worth how much?
- Error redoError clinic: someone says change can only be given in coins. Is that right? Give an example.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | $2.50 each. 3000 divided by 12 is 250 cents. | Total divided by quantity gives the unit price. |
| 2 | $24.50 change. 850 times 3 is 2550, and 5000 minus 2550 is 2450 cents. | Multiply for the total, then subtract from the payment. |
| 3 | $12.00. 2400 divided by 2 is 1200 cents. | Half a kilogram costs half the price. |
| 4 | $18.90 each. 3780 divided by 2 is 1890 cents. | Splitting equally means dividing by two. |
| 5 | 15 days, and 40 dollars in 8 days. 7500 divided by 500 is 15. | Divide the target by the daily saving to get the number of days. |
| 6 | 8 books with $4.00 left. 10000 divided by 1200 is 8 remainder 400. | The whole-number part of the quotient is the number of books. |
| 7 | $15.00. 420 plus 380 plus 700 is 1500 cents. | Convert all three to cents, add, and carry every 100. |
| 8 | 4 pieces: 10 plus 5 plus 2 plus 2 is 19. | Take the largest value first and top up with smaller ones. |
| 9 | 45 dollars. 2 times 5 is 10, 5 times 3 is 15, 10 times 2 is 20, and the three totals add to 45. | Total each group, then add the three totals. |
| 10 | No. Change can be given in notes, for example paying 60 dollars for a 40-dollar item can return one 20-dollar note. | Change only has to add up to the right value; notes are fine. |
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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