Onion prices increase from an average price of Rs. 10 per kg to Rs 16 per kg. What is the percentage of increase?

A salesman receives a commission of 8% of his sales of industrial equipment each week. If he sold 25,000 rupees worth of equipment last week, what was his commission.

A woman earned Rs. 2,50,000 last year. This year her earning increased by 15%. What is her earning this year?

A motor driven pump discharges 560 litres of water in 2.5 minutes. How long would it take to discharge 10900 litre of water.

A man uses 25 litres of paint to paint 20m^2 of a roof. How many litres of paint will he need to paint 320m^2 of the roof?

A cylindrical container holds 5000 litres of oil when filled to a depth of 8 meter. How many gallons are there when the level is 3 1/2 meter?

If a lady earns Rs 140 if she works for 7 days. How much does she earn if she works for 4 days?

Suppose we need 10 eggs to bake 4 cakes. How many eggs will we need to bake 24 cakes.

Which of the following pair of variables are directly proportional and inversely proportional.

i)Things bought and money spent.

ii)Number of persons employed to unload a truck and time required to complete the work.

iii)Length of the rectangle and area of the rectangle.

iv)Number of homework and time required to finish it.

Write 3 statements apart from the ones given here, that involve proportion. Find the corresponding ratio statements wherever possible.

Divide:

i)24.1 ÷ 5

ii)3.5 ÷ 3

In the context of multiplication of two whole numbers it is true that “the product is always greater than two numbers”. Is this statement true for decimal numbers? Justify your answer.

Suppose you want to plant carrots, spinach and tomatoes in a field. You decide that the carrots and tomatoes should each take up the same amount of space, but that you want double space for spinach as you do for carrots and tomatoes. You have a field of 32 m2 and you want to find how many square metres of field will have to be set aside for each type of vegetables. How will you use ratios to solve this problem?

A recipe for cooking of 1 cup of a sweet dish uses 1 cup of ghee and 3 cups of sugar and 2 cups of besan. Find the ratio of the ingredients. Suppose we want to make 4 cups of sweet dish, then how much of each ingredient would be needed.

The ratio of the number of boys to girls in a school is 7:3. If the school has 1500 students, how many girls and boys are there in the school? How many more girls would need to enroll if the school authorities want the ratio of the number of boys to girls to be 1:1.

Rekha and Sabitha want to get their house painted. They have 35.75 litres of paint. The 3 bedrooms together need 17.75 litres of paint, the dining room needs 9 litres, the lounge needs 10.25 litres and the kitchen and the bathroom both together need 1.75 litres each. Do they have enough paint? If so, how much paint is left over? If not, how much more must they buy?

In the following problems round off the amount which was actually used.

i)A person’s electric bill was computed from the meter reading in March which is Rs. 872.3252. What amount might have actually counted for calculating the total bill?

ii)A person calculated his/her monthly deduction for housing loan and income tax deduction using a calculator. He/she calculated the amount to be deducted as 4070.6952 what amount would actually be deducted?

There are 16 girls and 14 boys in a class. What is the ratio of girls and boys in the class?

Round off the decimal numbers to the required decimal place given in the bracket.

i)0.756432 (2 places)

ii)1.95248 (2 places)

iii)18.279769 (3 places)

iv)29.409444 (2 places)

v)331.7550091 (3 places)

Round off the decimal number 2.73975241 to three places.

An estate worth Rs. 7,37,28120 was to be equally divided among five members. A sixth member was then found who was also entitled to an equal share of the estate. How much less did each of the original five members receive.

i)1.3 ÷ 3

ii)29.6 ÷ 99 

iii)123.573 ÷ 137.4 

iv)25.5 ÷ 12.75 

v)14.15 ÷ 100

vi)8.36 ÷ 100

vii)8.36 ÷ 1000

viii)4183 ÷ 1000

Solve the following problems mentally using the rule for multiplication.

0.1 X 5

0.01 X 5

0.001 X 5

0.6 X 0.3

0.2 X 0.14

Find the product of the following:

i) 316.25 × 1.062

ii) 0.09 × 50

A person’s expenses for February (in Rupees) is as given below.

 Rent for his flat 1520.00

 Food 865.00

 Water and Electricity 432.70

 Clothing 169.50

 Telephone 210.00

 Entertainment 85.00

 Petrol 600.00

 Car loan payment 390.00

If the person earns a net salary of Rs.60,000 per year. Does she/he earn enough to meet her/his February expenses? If so, how much money can she/he save at the end of February?

i) Add 134.06 + 231.065 + 3.0421 + 46.0348

ii) Subtract Rs. 316.0325 from Rs. 1418.04

A diet permits a daily intake of 1.67 quarters of liquid a day; 0.375 quarters and 0.750 quarters of liquid are used for two meals. Determine the remaining amount of liquid that may be taken during the day.

Subtract 9.587 from 27.005.

A wooden top is 1.725 cm thick. It is covered with a plastic top of thickness 0.0625 cm. Find the total thickness of the top.

Find the sum of 7.426, 46.9 and 80.85.

Replace ? with > or < in order to obtain the correct inequality.

a)34.012 ? 34.102

b)0.002 ? 0.003

Arrange the following numbers in ascending order.

2.15, 32.6, 0.58691, 108.01, 2.003.

A car takes 8 hours to cover some distance at an average speed of 60 km per hour. How much time will it take to cover the same distance at an average speed of 45 km per hour?

Give two situations in which you come across ratios.

A piece of meat weighs 25.6 kilograms. before it is cooked and 23.2 kilograms after cooking. Determine the percentage weight lost in cooking.

What percentage of 250 is 50?

A car speedometer registers 52 kilometre per hour. The actual car speed is 55 kilometres per hour. Find the percent of error correct to two decimal places.

The power output of a motor is 58 horse power. If 7.6% of the power is used to overcome friction and other losses, what horse power is available under a full load?

Find 7.5% of 20

Find 16% of 1218 square feet.

In the following figures shade the area corresponding to the percentages given below it.

Write the percent of the whole that the shaded area of the figure represents in each case.

If 20 people finish the job in 12 days, in how many days 6 people can finish the same job?