PracticeMap Scales and Proportions1. Express each of the following scales in the form 1 : n, where n is a whole number.(a) 4 cm represents 100 m(b) 6 cm represents 1200 m

(c) 5 cm : 20 km

(d) 8 cm : 0.1 km

2. The scale of a map is 1 : 250000. Find the actual distance, in kilometres, between two countries if their distance apart on the map is 12.5 cm.3. A map is drawn to a scale of 1 : 500. If the actual area of a lake is 640 m2, find its area, in square centimetres, represented on the map.4. A bus can carry 24 passengers. How many passengers can 7 such buses carry?5. It is given that y is directly proportional to x. When x = 4, y = 12. Find(a) an equation connecting x and y,

(b) the value of y when x = 7.5,

(c) the value of x when y = 6.

6. In the following table, q is directly proportional to p.p2456x

q48101214

Find(a) an equation connecting p and q,

(b) the value of x.

7. 4 horses consume a large bale of hay in 2 days. How many days will a horse take to finish the same bale of hay?8. It is given that q is inversely proportional to p. When p = 6, q = 3. Find(a) an equation connecting p and q,

(b) the value of p when q = 15,(c) the value of q when p = 10.

9. In the following table, b is inversely proportional to a.a234610

b181296x

Find

(a) an equation connecting a and b,(b) the value of x.End of PracticePage 1 of 2