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Mapping Space Around Us Quiz - CBSE Class 8 Mathematics

Free practice quiz: Mapping Space Around Us (CBSE Class 8 Mathematics). 11 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 8 Mathematics practice quiz has 11 multiple-choice questions on Mapping Space Around Us, and 11 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Cardinal Directions and Turning

The four cardinal directions are North, East, South and West, in clockwise order around a compass.
A quarter turn clockwise moves you one step forward in this order. Anticlockwise moves you one step back.
A half turn always makes you face the opposite direction, and a full turn brings you back.

Clockwise order

\[N \rightarrow E \rightarrow S \rightarrow W \rightarrow N\]

Full turn

\[\text{full turn} = 360^\circ\]

Opposite pairs

\[N \leftrightarrow S, \quad E \leftrightarrow W\]

Common mistake: Mixing up clockwise and anticlockwise, or forgetting that each new turn starts from the direction you are now facing.

Map Scale and Actual Distance

A map scale compares a distance on the map to the real distance on the ground.
If the scale is written as one part to n parts, every map length is multiplied by n to get the real length.
When both parts of a ratio scale have no units, they use the same unit.

Scale as a fraction

\[\text{Scale} = \frac{\text{map distance}}{\text{actual distance}}\]

Actual distance

\[\text{actual distance} = \text{map distance} \times n\]

Finding n

\[n = \frac{\text{actual distance}}{\text{map distance}} \text{ (same units)}\]

Common mistake: Dividing instead of multiplying, or finding n while the two distances are still in different units like cm and km.

Converting Length Units

Answers from a ratio scale come out in the map's unit, usually centimetres.
Change centimetres to metres or kilometres at the end, before writing the final answer.

cm to m

\[\text{m} = \frac{\text{cm}}{100}\]

cm to km

\[\text{km} = \frac{\text{cm}}{100\,000}\]

m to km

\[\text{km} = \frac{\text{m}}{1000}\]

Common mistake: Dividing by 1000 to change centimetres to kilometres. You must divide by 100 000.

Net Movement and Relative Position

North and South moves cancel each other. East and West moves cancel each other.
On a grid, the x-coordinate measures East and the y-coordinate measures North.
To find P from Q, subtract Q's coordinates from P's coordinates.

Net North

\[\text{net North} = \text{total North} - \text{total South}\]

Net East

\[\text{net East} = \text{total East} - \text{total West}\]

P relative to Q

\[(x_P - x_Q,\; y_P - y_Q)\]

Common mistake: Subtracting in the wrong order, which gives the position of Q from P and flips the directions.

Changing to a New Scale

The real distance stays the same when only the map scale changes.
So the map distance times n is the same on both maps. A smaller n gives a longer map distance.

Same real distance

\[d_a \times n_a = d_b \times n_b\]

New map distance

\[d_b = \frac{d_a \times n_a}{n_b}\]

Common mistake: Thinking a smaller n shrinks the drawing. A smaller n means a larger, more detailed map.

Exam tips

Draw a quick sketch with arrows for every move or turn before answering.
Write the units at every step so the final conversion is not missed.
Round only at the very last step, as the question asks.

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

Which direction would you be facing if you started facing North, turned 90 degrees clockwise, and then 180 degrees counter-clockwise?
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Answer: D. West
Starting North, a 90-degree clockwise turn takes you to East. A 180-degree counter-clockwise turn from East brings you to West.
A treasure map shows 'X marks the spot' 3cm East and 4cm North of a large oak tree. If each cm represents 2 meters, how many meters East and North is the treasure from the oak tree?
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Answer: B. 6m East, 8m North
Each cm is 2 meters. 3cm East is 3 * 2 = 6 meters East. 4cm North is 4 * 2 = 8 meters North.
Describe the location of point P relative to point Q using directions and distance if the coordinates of P are (4, 2) and Q are (1, 0). Assume each unit is 1km
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Answer: A. 3km East, 2km North
P is 4-1 = 3 units East and 2-0 = 2 units North of Q. Since each unit is 1 km, it's 3km East, 2km North.
A surveyor uses a map with a scale of 1:25000 to measure the distance between two points. The distance on the map is 12cm. What is the actual distance in kilometers, rounded to the nearest kilometer?
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Answer: B. 3km
12cm * 25000 = 300000cm = 3000m = 3km
A map uses a scale of 1:20,000. Two towns are 15 cm apart on the map. A new map is created with a scale of 1:10,000. How far apart will the same two towns be on the new map?
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Answer: B. 30cm
On the first map, the actual distance is 15cm * 20000 = 300000cm = 3km. On the new map, 300000cm / 10000 = 30cm.