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Secondary 1 Other General Other Quiz
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Answers
Secondary 1 Other Quiz - General Other
Answer Key
Section A: Ratio and Proportion
1. Simplify
Step 1: Convert decimal to fraction:
Step 2: Write ratio:
Step 3: Multiply both sides by LCM of denominators (4):
Step 4: Check — 10 and 3 share no common factor other than 1.
Answer: [1]
Common mistake: Students may multiply incorrectly or forget to convert the decimal first.
2. Express in simplest form.
Step 1: Find HCF of 18 and 30. HCF = 6.
Step 2: ,
Answer: [1]
3. Simplify
Step 1: Convert:
Step 2: Ratio:
Step 3: Multiply both sides by 5:
Answer: [1]
4. Flour : Sugar = . Flour = 15 cups.
Step 1: parts → cups, so part → cups
Step 2: Sugar = cups
Answer: cups [1]
5. Red : Blue = . Red = 21.
Step 1: parts → , so part →
Step 2: Blue =
Answer: marbles [1]
6. Simplify
Step 1: Convert mixed number:
Step 2: Ratio:
Step 3: LCM of denominators (2, 8, 1) = 8. Multiply all terms by 8:
, ,
Step 4: Ratio =
Step 5: Check for common factor — HCF of 12, 3, 16 is 1. Already in simplest form.
Answer: [2]
[1 mark] for correct conversion and multiplication. [1 mark] for correct final simplified ratio.
Common mistake: Students may stop at without checking, or make arithmetic errors when multiplying by 8.
7. Teachers : Students = . Students = 240.
Step 1: parts → , so part →
Step 2: Teachers =
Step 3: Total people =
Answer: Teachers = 16 [1]
Answer: Total people = 256 [1]
8. Ali : Bala : Chris = . Bala receives \45$.
Step 1: parts → \451$45 \div 5 = $9$
Step 2: Total parts =
Step 3: Total = 10 \times \9 = $90$
Step 4: Ali = 2 \times \9 = $18$
Answer: Total = \90$18$ [1]
Section B: Percentage and Real-World Applications
9. Express as a fraction.
Step 1:
Step 2: Simplify: HCF of 35 and 100 is 5.
Answer: [1]
10. Find of .
Step 1:
Answer: [1]
11. Shirt = \409%$.
Step 1: GST amount =
Answer: \3.60$ [1]
12. Class = students. Absent = .
Step 1: Absent = students
Step 2: Present = students
Answer: students [1]
13. Laptop = \90012%$.
Step 1: Discount amount = 12\% \times 900 = 0.12 \times 900 = \108$
Step 2: Selling price = \900 - $108 = $792$
Answer: \792$ [2]
[1 mark] for correct discount amount. [1 mark] for correct selling price.
14. Population increased from to .
Step 1: Increase =
Step 2: Percentage increase =
Answer: [2]
[1 mark] for correct increase value. [1 mark] for correct percentage to 1 d.p.
15. January = \12020%10%$ less than February.
Step 1: February savings = \120 \times 1.20 = $144$
Step 2: March savings = \144 \times 0.90 = $129.60$
Answer: \129.60$ [2]
[1 mark] for correct February amount. [1 mark] for correct March amount.
Section C: Data Interpretation and Structured Response
16. Books read: Aisha 8, Ben 12, Clara 6, David 10, Elena 4.
(a) Total =
Answer: books [1]
(b) Ben : Elena =
Answer: [1]
17. Flats built (thousands): 2017 = 15, 2018 = 22, 2019 = 18, 2020 = 10.
(a) Difference =
Answer: thousand flats [1]
(b) Average =
Answer: thousand flats [1]
18. HDB flat data table.
(a) 3-Room area : Executive area =
Answer: [1]
(b) Rent per m² for 4-Room = \2,400 \div 80 = $30$ per m²
Answer: \30$ per m² [1]
(c) Calculate rent per m² for each flat type:
- 3-Room: \1,800 \div 60 = $30$/m² ✓ (affordable)
- 4-Room: \2,400 \div 80 = $30$/m² ✓ (affordable)
- 5-Room: \2,800 \div 100 = $28$/m² ✓ (affordable)
- Executive: \3,200 \div 120 = $26.67$/m² ✓ (affordable)
All flat types cost \30$25$/m² budget.
Wait — \30 > $25$, so 3-Room and 4-Room are NOT affordable.
- 3-Room: \30$/m² — not affordable
- 4-Room: \30$/m² — not affordable
- 5-Room: \28$/m² — not affordable
- Executive: \26.67$/m² — not affordable
Answer: None of the flat types are affordable at \25$ per square metre per month. [1]
[1 mark] for correct calculation of at least two rent-per-m² values and a valid conclusion.
19. Chicken rice = \3.50$2.804 : 7132$.
(a) Total parts = . part =
Chicken rice plates =
Answer: plates [1]
(b) Fishball noodle bowls =
Answer: bowls [1]
(c) Total = (48 \times \3.50) + (84 \times $2.80) = $168 + $235.20 = $403.20$
Answer: \403.20$ [1]
20. Pie chart angles: Homework , Tuition , Sports , Screen Time , Rest/Other . Total students = .
(a) Screen time percentage =
Answer: [1]
(b) Students in sports = students
Answer: students [1]
(c) Screen time reduced by . This is redistributed equally to homework and sports, so each gets .
New homework angle =
Answer: [1]
Mark Summary
| Section | Questions | Marks |
|---|---|---|
| A | 1–5 (1 mark each) | 5 |
| A | 6–8 (2 marks each) | 6 |
| B | 9–12 (1 mark each) | 4 |
| B | 13–15 (2 marks each) | 6 |
| C | 16–17 (2 marks each) | 4 |
| C | 18–20 (3 marks each) | 9 |
| Total | 20 questions | 34 |
Note: The total marks sum to 34 based on the mark allocations above. If the quiz is intended to be out of 40 marks, the remaining 6 marks may be allocated to presentation, units, or additional sub-parts at the teacher's discretion.
End of Answer Key