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mathematics

class VII

#### Key Concepts

hundredth part, fraction into percentage, ratio into percentage, percentage into ratio, decimal into percentage, word problems

#### essential questions

1. What types of real-world situations can be represented fractions, decimals, and percents? Why aren’t integers appropriate for those situations?
2. How does converting between fraction/decimal/percent help make numbers more manageable?
3.When is fraction the most convenient representation? Decimal? Percent?
4. What is the significance of a unit rate?
5. When is a visual representation a helpful problem solving technique?

#### Remembering:

1. Convert each of the following fraction into percentage: a) 47/100   b) 9/20  c) 3/8   d) 5/15  e) 120/400
2. Convert each of the following into fraction: a) 32%  b) 6 1/4%   c) 45.9%   d) .0056%   e) 25.78%
3. Express each of the following as ratio: a) 43%  b) 36%  c) 58%  d)9.5%  e) 125%
4.  Convert each of the following ration into percentage: a) 4:5    b)20:140  c) 30:240  d) 1:2   e) 3:7
5. Convert each into decimal form:  a) 35%   b) 78%  c) 58.7%   d) 0.45%  e).89%
6.  Convert each of the following decimals into a percentage:  a)  0.7    b) 39.65   c) 0.089  d)1.23  e) 35.97

#### understanding:

1. Find: a) 34 % of 25     b) 28.5% of 50    c) 35% of 90   d) 8.5% of 220   e) 25% of 1000
2. Find: a) 25% of Rs 76  b) 35% of 70Kg    c) 42% of 770 litres   d) 73% of 1460 Kg   e) 89% of 890
3.  A basket contains 250 eggs. If 15% of the eggs are rotten, how many eggs are rotten?
4. Mr Byom saves 25% of his salary. If he receives Rs 25000 per month as his salary, how much amount is he actually saving?
5. Fill in the blanks:  a) 3:4= (___)%     b) 0.75%= (___)%  c) 6%= (____) in decimals

#### Application:

1. Find the number whose 13% is 65
2. If 3% of x is 9, find x.
3. What amount is 20% less than Rs 60?
4. In an examination, 95% of the total examine passed. If the number of failure is 28, how many examines were there? What number passed?
5. In an election, there were two candidates A and B. The total number of voters in this constituency was 60,000 and 80% of total votes were polled. If 60% of the polled voted were cast in favor of A, how many votes were received by B?
6. An ore contains 5% copper. How much ore is required to obtain 400 g of copper?
7. 70% of the students in a school are boys. If the number of girls is 240, how many boys are there in the school? a) 420   b) 560  c) 630  d) 480
8. Fill in the blanks:   a) If x decrease by 40% gives 135, then x=____          b) (11% of x)- (7% of x)=18, then x=____

#### Analysis:

1. The value of car decrease annually by 20%. If the present value of car is Rs 450,000 what will be its value after 2 years?
2. Due to an increase in the price of sugar by 25%, by how much percent must a householder decrase the consumption of sugar so that there is no increase in the expenditure on sugar?
3. If 11% of a number exceeds 7% of the number of the number by 18, the number is   a) 72   b) 360  c) 450  d) 720
4. The population of a town increases 10% annually.if its present population is 60,000, what will be its population after 2 years?
5. What percent of 1 day is 36 minutes?
6. On reducing the value of chair by 6% it becomes Rs 658. The original value of the chair is: a) Rs 750   b) Rs 720  c) Rs 500  d) Rs 700
7. A number decreased by 40% gives 135. The number is :a) 175  b) 200 c) 250  d) 225
8. A’s income is 25% more than B. How many percent is B’s income less than that of A?