O-Level E-Maths: a four-question revision diagnostic
Set aside 15 minutes. Show working before reading the answers. For each error, record whether it came from choosing the method, using a number, converting a unit or checking the result. Repeat the missed skill with different numbers tomorrow.
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Question 1
Share $96 in the ratio 5:3.
My method: ____________________
My working: ____________________
My check: ____________________
Question 2
A jacket sells for $72 after a 20% discount. Find the original price.
My method: ____________________
My working: ____________________
My check: ____________________
Question 3
Travel 30 km at 60 km/h, then 30 km at 40 km/h. Find the average speed.
My method: ____________________
My working: ____________________
My check: ____________________
Question 4
A bag contains four green and two yellow counters. Draw two without replacement. Find the probability that both are yellow.
My method: ____________________
My working: ____________________
My check: ____________________
Worked answers
Answer 1
- Total parts = 8; each part is $12.
- The shares are $60 and $36. Check the total and the ratio.
Answer 2
- 0.80 × original = 72.
- Original = 72/0.80 = $90. Taking 20% off $72 would use the wrong base.
Answer 3
- Total time = 30/60 + 30/40 = 1.25 h.
- Average speed = 60/1.25 = 48 km/h.
Answer 4
- First yellow: 2/6. Second yellow after that draw: 1/5.
- Probability = 2/6 × 1/5 = 1/15.
My next revision step
| Question | First mistake | What I will check next time |
|---|---|---|
| 1 | ____________ | ____________ |
| 2 | ____________ | ____________ |
| 3 | ____________ | ____________ |
| 4 | ____________ | ____________ |
Read the complete revision lessons
Scope and review
Official 2026 syllabus. Original AI-assisted practice; selected numerical results and their displayed working are automatically checked. This does not verify every explanation. No teacher review or exam-board endorsement is claimed.