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Original practice tasks · Math · Class 6

Scale and units — tasks with solutions

Start with the easier exercises and work your way up. Every task has a hint and a full step-by-step solution — try it on your own first, then unlock the solution and compare.

Easy

9

Medium

18

Hard

11

Task 1 · easy

1:100 scale plan

On a 1:100 scale, the distance is 3 cm. How long is it really?

Hint and solution →

Task 2 · easy

Distance on the map

On a 1:50,000 scale map, the distance is 4 cm. How many kilometers is that in fact?

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Task 3 · medium

Reality per map

The actual distance of 7.5 km is shown on a scale of 1:250,000. How many centimeters does an episode have on the map?

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Task 4 · medium

Peace Plan

The room is 5 m long. How much cm is he gonna have on a 1:50 scale?

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Task 5 · medium

Select a scale

5 cm on the set corresponds to 2.5 m in fact. What's the scale?

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Task 6 · medium

Car model

The car is 3 m long. The model was made on a 1:20 scale. What's the length of the model in cm?

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Task 7 · hard

Magnification scale

The figure on the scale of 3:1 detail is 12 cm. What's its actual dimension?

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Task 8 · hard

Field and linear scale

The figure on the scale 1:10 has a field of 12 cm2. What is the field corresponding to the actual figure in cm2?

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Task 9 · hard

Route in metres

On a 1:20 000 scale, the route is 7.5 cm long. How many meters does it actually have?

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Task 10 · hard

Check scale score

On a scale of 1:100,000, someone thought that 2 cm on the map was 200 km. Rate the result and enter the correct one.

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Task 11 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 3 cm. Ile to metrów w terenie?

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Task 12 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 4 cm. Ile to metrów w terenie?

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Task 13 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 5 cm. Ile to metrów w terenie?

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Task 14 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 6 cm. Ile to metrów w terenie?

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Task 15 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 7 cm. Ile to metrów w terenie?

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Task 16 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 8 cm. Ile to metrów w terenie?

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Task 17 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 9 cm. Ile to metrów w terenie?

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Task 18 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 10 cm. Ile to metrów w terenie?

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Task 19 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 2 cm. Ile to metrów w terenie?

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Task 20 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 3 cm. Ile to metrów w terenie?

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Task 21 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 4 cm. Ile to metrów w terenie?

Hint and solution →

Task 22 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 5 cm. Ile to metrów w terenie?

Hint and solution →

Task 23 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 6 cm. Ile to metrów w terenie?

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Task 24 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 7 cm. Ile to metrów w terenie?

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Task 25 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 8 cm. Ile to metrów w terenie?

Hint and solution →

Task 26 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 9 cm. Ile to metrów w terenie?

Hint and solution →

Task 27 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 10 cm. Ile to metrów w terenie?

Hint and solution →

Task 28 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 2 cm. Ile to metrów w terenie?

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Task 29 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 3 cm. Ile to metrów w terenie?

Hint and solution →

Task 30 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 4 cm. Ile to metrów w terenie?

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Task 31 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 5 cm. Ile to metrów w terenie?

Hint and solution →

Task 32 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 6 cm. Ile to metrów w terenie?

Hint and solution →

Task 33 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 7 cm. Ile to metrów w terenie?

Hint and solution →

Task 34 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 8 cm. Ile to metrów w terenie?

Hint and solution →

Task 35 · easy

Skala mapy

Na mapie w skali 1:1000 odcinek ma 9 cm. Ile to metrów w terenie?

Hint and solution →

Task 36 · medium

Skala mapy

Na mapie w skali 1:5000 odcinek ma 10 cm. Ile to metrów w terenie?

Hint and solution →

Task 37 · medium

Skala mapy

Na mapie w skali 1:10000 odcinek ma 2 cm. Ile to metrów w terenie?

Hint and solution →

Task 38 · hard

Skala mapy

Na mapie w skali 1:100 odcinek ma 3 cm. Ile to metrów w terenie?

Hint and solution →

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