Proportional Reasoning-1 MATHS - Proportional Reasoning-1

The following figure shows a small portion of a long brick wall with patterns made using coloured bricks. Each wall continues this pattern throughout the wall. What is the ratio of grey bricks to coloured bricks? Try to give the ratios in their simplest form.

Give 3 ratios that are proportional to 4 : 9.

The 10 coin is an alloy of copper and nickel called 'cupro-nickel'. Copper and nickel are mixed in a 3:1 ratio to get this alloy. The mass of the coin is 7.74 grams. If the cost of copper is ₹906 per kg and the cost of nickel is ₹1,341 per kg, what is the cost of these metals in a ₹10 coin?

A tractor can plough the same area of a field 4 times faster than a pair of oxen. A farmer wants to plough his 20-acre field. A pair of oxen takes 6 hours to plough an acre of land. How much time would it take if the farmer used a pair of oxen to plough the field? How much time would it take him if he decides to use a tractor instead?

Look at the following rectangles. Which rectangles are similar to each other? You can verify this by measuring the width and height using a scale and comparing their ratios.

Let us draw some human figures. Measure your friend’s body—the lengths of their head, torso, arms, and legs. Write the ratios as mentioned below -

Circle the following statements of proportion that are true.
24 : 8 :: 9 : 3

Circle the following statements of proportion that are true.
12 : 18 :: 28 : 12

Circle the following statements of proportion that are true.
21 : 6 :: 35 : 10

Circle the following statements of proportion that are true.
7 : 12 :: 12 : 7

Circle the following statements of proportion that are true.
8 : 3 :: 24 : 6