1.
Four patients — A, B, C, and D — have fevers. B is hotter than A. C is cooler than A. D is hotter than B. List all four from hottest to coolest.
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Answer:
Did you know? A fever is your body turning up its own heat on purpose. Many germs breed badly once things get warm.
2.
On a balance, 2 ice packs weigh exactly the same as 5 cloths. One ice pack weighs 200 grams. How much does one cloth weigh?
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Answer:
Did you know? A cool cloth on the forehead does not "cure" a fever — it just helps you feel comfortable while your body does the work.
3.
A single germ splits into 2 every 20 minutes. If there is 1 germ at 8:00, how many germs are there at 9:00? Careful — it is not just adding on.
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Answer:
Did you know? Some bacteria really can split every 20 minutes. One becomes two, two become four — that is how a few turn into millions overnight.
4.
A ward has 20 beds in a row. Every 2nd bed gets a thermometer. Every 5th bed gets a water jug. How many beds have both? How many have neither?
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Answer:
Did you know? Rest is one of the best fever treatments there is — while you sleep, your body pours energy into fighting the germ.
1.
Three nurses — Sara, Bilal, and Noor — each work one ward: fever, surgery, or intake. Sara does not work fever. Bilal works intake. Who works each ward?
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Answer:
Did you know? Hospitals sort patients the moment they arrive — the sickest are seen first, not whoever came through the door first.
2.
Two labelling machines share a batch of vials. Machine A can label the whole batch alone in 20 minutes. Machine B can label the same batch alone in 30 minutes. Running together, how long do they take? Think about how much each does in one minute.
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Answer:
Did you know? Labs label everything twice — one error on a vial can send the wrong result to the wrong patient, so nothing is left to memory.
3.
A lab has a 7-litre jug, a 4-litre jug, and a tap. Neither jug has any marks. Using only these, how can you measure out exactly 1 litre? Write the steps.
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Answer:
Did you know? Medicine doses are measured to the millilitre. For a small child, a spoonful too much or too little can matter a great deal.
4.
A patient's temperature is read once a day for 3 days. The three readings are whole numbers that go down one at a time (like 20, 19, 18), and they add up to 111. What were the three readings?
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Answer:
Did you know? A healthy body sits near 37°C. A reading drifting back down toward it, day by day, is a sign the fever is breaking.
3rd Grade
1. D, B, A, C — hottest to coolest.
D > B (D hotter than B). B > A. A > C (C cooler than A). Chain the links: D > B > A > C. Building it one comparison at a time beats holding all four at once.
2. 80 grams.
2 ice packs = 2 × 200 = 400 g, and that equals 5 cloths. So one cloth = 400 ÷ 5 = 80 g. The trap is dividing 200 by 5 — that weighs one ice pack's worth, not two.
3. 8 germs.
It doubles, it does not add 2. 8:00 = 1, 8:20 = 2, 8:40 = 4, 9:00 = 8. Three splits in the hour. Adding 2 each time gives 4 — the classic slip.
4. 2 beds have both; 8 beds have neither.
Thermometers: 2, 4, 6 … 20 = 10 beds. Jugs: 5, 10, 15, 20 = 4 beds. Both (multiples of 10): 10 and 20 = 2. Marked altogether: 10 + 4 − 2 = 12, so 20 − 12 = 8 bare.
4th Grade
1. Bilal — intake; Sara — surgery; Noor — fever.
Bilal is given intake. Sara can't do fever, and intake is taken, so Sara = surgery. That leaves fever for Noor. Start from the fact you're handed (Bilal), then eliminate.
2. 12 minutes.
In one minute A does 1/20 of the batch, B does 1/30. Together: 1/20 + 1/30. Sixtieths: 3/60 + 2/60 = 5/60 = 1/12 each minute. So the whole batch takes 12 minutes. Faster than either alone — the sanity check.
1 litre — fill the 4, pour into the 7, fill the 4 again and top up the 7; 1 litre stays in the small jug.
Fill the 4-L jug and pour it into the 7-L jug (7 now holds 4). Fill the 4-L jug again and pour into the 7-L until it is full — the 7 only needs 3 more, so 1 litre is left in the 4-L jug. Any route that ends at exactly 1 is right.
4. 38, 37, 36.
Three in a row centre on the middle one: 111 ÷ 3 = 37. So the readings are 38, 37, 36. Check: 38 + 37 + 36 = 111. ✓ Guessing-and-checking works too, but the middle-number shortcut is the point.