RATIO

1) Give the following ratios in the simplest forma) 2 :10b) 3 : 9 : 36c) 5 : 125 : 20d) 10 : 25 : 60e) 2500 : 600 f) 40 : 1600

2) Express the ratios in the form 1 : na) 2 : 6b) 5 : 30 c) 2 : 100d) 22 : 550e) 45 : 360f) 50 : 550

3) Express the ratios in the form n : 1a) 12 : 5b) 30 : 2c) 4 : 5d) 2 : 10e) 15 : 3f) 200 : 4

4) Divide the quantity in the given ratios.a) $ 40 (3 : 5)b) 250 m (14 : 11)c) $117 ( 2 : 3 : 8)d) 180 kg (1: 5 : 6)e) 184 min (2 : 3 : 3)f) 5000cm (5 : 2 : 1)

5) When $ 143 is divided in the ratio 2 : 4 : 5, what is the difference between the largest and the smallest share.

6) Divide 180 kg in the ratio 1 : 2 : 3 : 4.

7) If 58 of the children in a school are boys, what is the ratio of boys to girls

8) A man and women shares a prize of $ 1000 between them in the ratio 1 : 4. How much did each of them get?

9) Amy, Ben and Claude shared a sum of money in the ratio 1 : 3 : 2. If Ben got $ 500 how much did Amy and Claude receive?

10) Sam planted RED, BLUE and YELLOW flowers in the ratio 2 : 5 : 3. If she planted 500 plants, how much of each colour did she plant?

INCREASE AND DECREASE BY A GIVEN RATIO

1) Increase the quantity in the given ratios.a) 100 (8 : 5)b) 25 (5 : 2)c) 360 (9 : 4)

2) Decrease the quantity in the given ratios.a) 60 (2 : 3)b) 1400 (4 : 5)c) 650 (1 : 6)

3) A photograph 8cm by 6cm is enlarged by a ratio of 11 : 4. What are the dimensions of the new print?

4) A photocopier enlarges in the ratio 7 : 4. What would be the new size of a diagram 16 cm by 12 cm?5) The triangle of base 8cm and height 4 cm is reduced by the ratio of 1 : 2.

a) Calculate the reduced base and height of the triangle.b) Calculate the area of the original triangle.c) Calculate the area of the reduced triangle.d) Calculate the ratio by which the areas of the triangle is reduced.

6) A cuboid with dimensions 7cm by 4 cm by 2 cm is enlarged by a ratio of 3 : 1.a) Calculate the enlarged dimensions of the cuboid.b) Calculate the volume of the original cuboid.c) Calculate the volume of the reduced cuboid.d) Calculate the ratio by which the volume of the cuboid is enlarged.

DIRECT PROPORTION

1) A machine prints four books in 10 minutes. How many will it print in 2 hours?2) A farmer plants five apple trees in 25 min. if he continues to work at a constant rate, hoe long will it

take him to plan 200 trees?3) A television set uses 3 units of electricity in 2 hours. How many units will it use in 7 hours?4) A brick layer lays 1500 bricks in an 8 hour day. Assuming he continues to work at the same rate,

calculate:a) How many bricks he would expect to lay in a five days.b) How long to the nearest hour it would take him to lay 10 000 bricks.

5) A machine used to paint white lines on a road uses 250 liters of paint for each 8km of road marked. Calculate:

a) How many liters of paint would be needed for 200 km of road?b) What length of road could be marked with 4000 liters of paint?

INVERSE PROPORTION

1) A teacher shares sweets among 8 students so that they each get 6 each. How many sweets would they each have got had there been 12 students?

2) Six people can dig a hole in 8 hours.a) How long would it take 12 people?b) How many people would it take to dig the hole in 3 hours?

3) A train travelling at 100 km/h takes 4 hours for a journey. How long would it take a train travelling at 60 km/h?

4) A worker in a sugar factory packs 24 cardboard boxes with 15 bags of sugar in each. If he had boxes which held 18 bags of sugar each, how many fewer boxes would be needed?

5) A swimming pool is filled in 30 hours by two identical pumps. How much quicker would it be filled if five similar pumps were used instead?