1.
A depot receives 136 fluid bags on each of 5 carts. During the day, 214 bags are sent on to be cleaned. How many bags are still at the depot?
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Answer:
Did you know? Lymph nodes are little filter stations. You have hundreds of them, tucked in your neck, armpits, and behind your knees.
2.
The depot must move 150 sample vials. Each carrier tube holds 8 vials. How many carrier tubes are needed so that every vial is carried?
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Answer:
Did you know? Lymph is a clear fluid that washes through your body picking up germs and waste, then drops them at a node to be cleaned.
3.
One depot logs 312 arrivals in the morning and 288 in the afternoon. The arrivals are shared equally among 6 filtering stations. How many arrivals does each station handle?
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Answer:
Did you know? When you are fighting a cold, the nodes in your neck can swell and feel like little peas — that is them working hard.
4.
One filter cartridge is 2/3 full. Another is 5/6 full. Which cartridge holds more? How do you know?
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Answer:
Did you know? Lymph does not have a pump like the heart. It is squeezed along by your muscles, which is one more reason moving around keeps you healthy.
5.
A rectangular filter pad has an area of 56 square cm. One side measures 7 cm. How long is the other side? What is the perimeter of the pad?
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Answer:
Did you know? Your biggest lymph organ is the spleen, up under your left ribs. It filters your blood and stores defender cells ready for a fight.
1. GUIDED
One fluid sample weighs 3.45 kg. Another weighs 2.8 kg. What is their total weight, and how much heavier is the first sample than the second?
Line up the points, and pad the short one: 2.8 becomes
Total: 3.45 + 2.80 = Difference: 3.45 − 2.80 =
Answer:
Did you know? An adult body carries about 2 litres of lymph, moving quietly through its own network of vessels alongside the blood.
2.
A store of plasma is 5/6 full. Over one day, 1/4 of the full store is used. How much is left?
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Answer:
Did you know? Plasma is the pale liquid that carries your blood cells. Take the cells out and more than half of your blood is left over.
3.
A depot has 36 shelves, and each shelf holds 48 sample boxes. How many sample boxes is that in total?
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Answer:
Did you know? Lymph vessels reach almost every corner of your body — laid end to end they would run much farther than you might guess.
4.
A team must pack 2,575 vials into crates of 6. How many crates are completely full, and how many vials are left over?
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Answer:
Did you know? The largest lymph vessel, the thoracic duct, empties its cleaned fluid back into a big vein near your collarbone — a round trip finished.
5.
A depot processes 1,845 samples in 5 hours, at a steady rate. At that same rate, how many would it process in 7 hours? Those samples are boxed in 8s — how many full boxes is that, and how many samples are left over?
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Answer:
Did you know? Your lymph system doubles as a highway for defender cells — they ride from node to node, patrolling for anything that does not belong.
3rd Grade
1. 466 bags still at the depot.
136 × 5 = 680, then 680 − 214 = 466. Multiply first, subtract second.
2. 19 carrier tubes.
150 ÷ 8 = 18 remainder 6. Those 6 spare vials still need a tube, so round up to 19. "18" is one step short.
3. 100 arrivals per station.
312 + 288 = 600, then 600 ÷ 6 = 100. Add the two parts of the day first, then split. Dividing 312 by 6 alone forgets the afternoon.
4. The 5/6 cartridge.
Sixths: 2/3 = 4/6 vs 5/6, so 5/6 holds more — but only once the sixths make them fair to compare.
5. Other side 8 cm; perimeter 30 cm.
56 ÷ 7 = 8 cm (the missing side). Perimeter = 2 × (7 + 8) = 30 cm. Gives area, asks perimeter — divide for the side, don't halve.
4th Grade
1. Total 6.25 kg; the first is heavier by 0.65 kg.
Write 2.8 as 2.80 and line up the points. 3.45 + 2.80 = 6.25; 3.45 − 2.80 = 0.65. The padding is the whole trick — 3.45 + 2.8 done ragged gives 3.73 or 6.53.
2. 7/12 of the store.
Twelfths: 5/6 = 10/12, 1/4 = 3/12. 10/12 − 3/12 = 7/12. Unlike denominators, no scaffold — and a subtraction this time.
3. 1,728 sample boxes.
36 × 48 = (36 × 40) + (36 × 8) = 1,440 + 288 = 1,728. Two-by-two: the second partial row shifts one column left.
4. 429 full crates, 1 vial left over.
2,575 ÷ 6 = 429 remainder 1. Check: 429 × 6 + 1 = 2,575. ✓ The question asks for both the full count and the leftover.
5. 2,583 samples — 322 full boxes, 7 left over.
Rate first: 1,845 ÷ 5 = 369 per hour. Then 369 × 7 = 2,583. Then 2,583 ÷ 8 = 322 r 7. Check: 322 × 8 + 7 = 2,583. ✓