1.
A beekeeper has 95 frames to move. Each crate holds 6 frames. How many crates are completely full, and how many crates does she need for all of them?
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Answer:
Did you know? Honeycomb cells are hexagons because that shape stores the most honey using the least wax.
2.
A hive gains 145 bees a day for 4 days. Over the same period 96 bees do not return. What is the change in the hive's population?
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Answer:
Did you know? A single worker bee makes about one twelfth of a teaspoon of honey in her whole life.
3.
There are 8 hives with 9 frames in each. The frames are shared equally between 3 beekeepers. How many frames does each beekeeper carry?
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Answer:
Did you know? Bees tell each other where flowers are by dancing in a figure of eight — the angle points the way.
4.
One jar is 1/2 full of honey. Another is 4/10 full. Which jar has more honey?
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Answer:
Did you know? Honey found sealed in Egyptian tombs was still perfectly good to eat thousands of years later.
5.
A rectangular bee garden covers 63 square metres. One side is 9 m. Find the other side and the perimeter.
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Answer:
Did you know? Bees can see ultraviolet light, so many flowers carry glowing patterns that guide them in like runway lights.
1.
A frame is 5/6 filled with honey. The beekeeper takes 3/8 of a frame's worth. What fraction of the frame is still full?
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Answer:
Did you know? A strong hive can hold more than 50,000 bees in summer, and the queen may lay 2,000 eggs a day.
2.
A harvest of 2,375 grams of honey is poured equally into 8 jars. How much goes in each jar, and how many grams are left over?
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Answer:
Did you know? Bees visit about two million flowers to make a single pound of honey.
3.
One hive produced 2.4 kg of honey and another produced 3.75 kg. What is the total?
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Answer:
Did you know? Bees keep the middle of the hive at about 35 °C all year by shivering to warm it and fanning to cool it.
4.
An apiary has 34 hives, each holding 56 frames. How many frames altogether?
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Answer:
Did you know? Beekeepers use smoke because it masks the alarm signal bees release, so the hive stays calm.
5.
A hive yields 15 kg of honey a week for 12 weeks. The beekeeper sells 45.5 kg at the market. How much is left?
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Answer:
Did you know? Honey never spoils. Its sugar draws water out of any bacteria that lands in it.
3rd Grade
1. 15 full crates; 16 crates in total.
95 ÷ 6 = 15 remainder 5. The last 5 frames still need a crate: 16.
2. Up by 484 bees.
145 × 4 = 580 gained, then 580 − 96 = 484.
3. 24 frames each.
8 × 9 = 72 frames, then 72 ÷ 3 = 24.
4. The 1/2 jar.
Tenths: 1/2 = 5/10, and 5/10 is more than 4/10.
5. Other side 7 m; perimeter 32 m.
63 ÷ 9 = 7 m. Perimeter = 9 + 7 + 9 + 7 = 32 m.
4th Grade
1. 11/24 of the frame.
24ths: 5/6 = 20/24 and 3/8 = 9/24. 20/24 − 9/24 = 11/24.
2. 296 grams per jar, 7 grams left over.
2,375 ÷ 8 = 296 remainder 7. Check: 296 × 8 = 2,368, plus 7 = 2,375. ✓
3. 6.15 kg.
Pad the shorter one: 2.40 + 3.75 = 6.15 kg.
4. 1,904 frames.
34 × 56 = (34 × 50) + (34 × 6) = 1,700 + 204 = 1,904.
5. 134.5 kg.
15 × 12 = 180 kg, then 180 − 45.5 = 134.5 kg.