Map Scale Distance Calculation Quiz for Grade 4

1. A map scale shows 1 inch = 2 miles. If two towns are 3 inches apart on the map, how many miles apart are they in real life?

2 miles

3 miles

6 miles

5 miles

To determine the real-life distance between the two towns, multiply the distance on the map (3 inches) by the scale factor (2 miles per inch). Thus, 3 inches x 2 miles/inch equals 6 miles. Therefore, the towns are 6 miles apart in reality.

Explanation

To determine the real-life distance between the two towns, multiply the distance on the map (3 inches) by the scale factor (2 miles per inch). Thus, 3 inches x 2 miles/inch equals 6 miles. Therefore, the towns are 6 miles apart in reality.

2. On a map, the scale is 1 cm = 5 km. Two cities are 4 cm apart on the map. What is the real distance between them?

5 km

9 km

20 km

10 km

To find the real distance between the two cities, multiply the distance on the map (4 cm) by the scale factor (5 km per cm). Thus, 4 cm x 5 km/cm = 20 km. This calculation shows that the actual distance between the two cities is 20 kilometers.

Explanation

To find the real distance between the two cities, multiply the distance on the map (4 cm) by the scale factor (5 km per cm). Thus, 4 cm x 5 km/cm = 20 km. This calculation shows that the actual distance between the two cities is 20 kilometers.

3. A rectangular park has a length of 8 meters and a width of 5 meters. What is its perimeter?

13 meters

26 meters

40 meters

18 meters

To find the perimeter of a rectangle, you use the formula: Perimeter = 2 × (length + width). Here, the length is 8 meters and the width is 5 meters. Thus, the perimeter is calculated as 2 × (8 + 5) = 2 × 13 = 26 meters.

Explanation

To find the perimeter of a rectangle, you use the formula: Perimeter = 2 × (length + width). Here, the length is 8 meters and the width is 5 meters. Thus, the perimeter is calculated as 2 × (8 + 5) = 2 × 13 = 26 meters.

4. What is the area of a square with sides that are 6 units long?

12 square units

24 square units

36 square units

18 square units

The area of a square is calculated by squaring the length of one of its sides. For a square with each side measuring 6 units, the area is 6 units × 6 units, which equals 36 square units.

Explanation

The area of a square is calculated by squaring the length of one of its sides. For a square with each side measuring 6 units, the area is 6 units × 6 units, which equals 36 square units.

5. A map uses the scale 1 inch = 10 miles. If a road is 50 miles long, how many inches long is it on the map?

2 inches

5 inches

10 inches

25 inches

To find the length of the road on the map, divide the actual distance by the scale factor. Since 1 inch represents 10 miles, for a 50-mile road, you calculate 50 miles ÷ 10 miles/inch = 5 inches. Thus, the road measures 5 inches long on the map.

Explanation

To find the length of the road on the map, divide the actual distance by the scale factor. Since 1 inch represents 10 miles, for a 50-mile road, you calculate 50 miles ÷ 10 miles/inch = 5 inches. Thus, the road measures 5 inches long on the map.

6. A rectangle has a length of 12 cm and a width of 4 cm. What is its area?

16 square cm

32 square cm

48 square cm

24 square cm

To find the area of a rectangle, multiply its length by its width. Here, the length is 12 cm and the width is 4 cm. Therefore, the area is calculated as 12 cm × 4 cm = 48 square cm.

Explanation

To find the area of a rectangle, multiply its length by its width. Here, the length is 12 cm and the width is 4 cm. Therefore, the area is calculated as 12 cm × 4 cm = 48 square cm.

7. On a map with scale 1 cm = 3 km, what real distance does 7 cm on the map represent?

10 km

21 km

7 km

14 km

To find the real distance represented by 7 cm on the map, multiply the map distance by the scale factor. Since 1 cm equals 3 km, 7 cm corresponds to 7 x 3 km, which equals 21 km. Thus, 7 cm on the map represents a real distance of 21 km.

Explanation

To find the real distance represented by 7 cm on the map, multiply the map distance by the scale factor. Since 1 cm equals 3 km, 7 cm corresponds to 7 x 3 km, which equals 21 km. Thus, 7 cm on the map represents a real distance of 21 km.

8. A square garden has sides of 9 meters. What is its perimeter?

18 meters

27 meters

36 meters

81 meters

The perimeter of a square is calculated by adding the lengths of all four sides. Since each side of the square garden is 9 meters, the perimeter is 4 times 9, which equals 36 meters.

Explanation

The perimeter of a square is calculated by adding the lengths of all four sides. Since each side of the square garden is 9 meters, the perimeter is 4 times 9, which equals 36 meters.

9. If a map scale is 2 inches = 8 miles, how many miles does 1 inch represent?

2 miles

4 miles

6 miles

8 miles

To find how many miles 1 inch represents, divide the total miles by the number of inches. Since 2 inches equal 8 miles, 1 inch equals 8 miles divided by 2, which is 4 miles. Thus, each inch on the map represents 4 miles in reality.

Explanation

To find how many miles 1 inch represents, divide the total miles by the number of inches. Since 2 inches equal 8 miles, 1 inch equals 8 miles divided by 2, which is 4 miles. Thus, each inch on the map represents 4 miles in reality.

10. A rectangular field is 15 meters long and 10 meters wide. What is its area?

50 square meters

150 square meters

25 square meters

100 square meters

To find the area of a rectangle, multiply its length by its width. In this case, the length is 15 meters and the width is 10 meters. Therefore, the area is calculated as 15 meters × 10 meters, which equals 150 square meters.

Explanation

To find the area of a rectangle, multiply its length by its width. In this case, the length is 15 meters and the width is 10 meters. Therefore, the area is calculated as 15 meters × 10 meters, which equals 150 square meters.

11. On a map, the scale shows 1 cm = 4 km. A distance of 32 km in real life equals how many centimeters on the map?

4 cm

8 cm

16 cm

12 cm

To convert the real-life distance of 32 km to the map scale, divide 32 km by the scale factor of 4 km per cm. This calculation (32 km ÷ 4 km/cm) results in 8 cm, indicating that a distance of 32 km is represented as 8 cm on the map.

Explanation

To convert the real-life distance of 32 km to the map scale, divide 32 km by the scale factor of 4 km per cm. This calculation (32 km ÷ 4 km/cm) results in 8 cm, indicating that a distance of 32 km is represented as 8 cm on the map.

12. The perimeter of a triangle is the sum of all three sides. If a triangle has sides of 5 cm, 7 cm, and 6 cm, what is its perimeter?

12 cm

18 cm

21 cm

15 cm

To find the perimeter of a triangle, you add the lengths of all its sides. For this triangle, the sides are 5 cm, 7 cm, and 6 cm. Adding these together: 5 + 7 + 6 = 18 cm, which gives the total perimeter.

Explanation

To find the perimeter of a triangle, you add the lengths of all its sides. For this triangle, the sides are 5 cm, 7 cm, and 6 cm. Adding these together: 5 + 7 + 6 = 18 cm, which gives the total perimeter.