Skip to main content

CBSE_NCERT_Free Question Papers For Class 7th Cbse Maths

CBSE MATH STUDY: CBSE 7th Maths Question Papers |Sample Papers

7th Ratio and Proportion

Complete the following statements using the help box:

1. The comparison of two quantities of the same kind by means of division is termed as ____.

2. The two quantities to be compared are called the ________ of the ratio.

3. The first term of the ratio is called the _________ and the second term is called the _______.

4. In a ratio, only two quantities of the __________ unit can be compared.

5. If the terms of the ratio have common factors, we can reduce it to its lowest terms by cancelling the 
_____.

6. When both the terms of a ratio are multiplied or divided by the same number (other than zero) the 
ratio remains _________ .The obtained ratios are called__________.

7. In a ratio the order of the terms is very important. (Say True or False)

8. Ratios are mere numbers. Hence units are not needed. (Say True or False)

9. Equality of two ratios is called a __________. If a,b;c,d are in proportion, thena:b::c:d .

10. In a proportion, the product of extremes =___________

Help Box:

1) Ratio 2) terms 3) antecedent, consequent 4) same 5) common terms 6) unchanged, equivalent ratios 
7) True 8) True 9) proportion 10) product of means

1. Find 5 equivalent ratios of 2:7

2. Reduce 270 : 378 to its lowest term.

3. Find the ratio of 9 months to 1 year

4. If a class has 60 students and the ratio of boys to girls is 2:1, find the number of boys and girls.

5. A ribbon is cut into 3 pieces in the ratio 3: 2: 7. If the total length of the ribbon is 24 m, find the length 
of each piece.

6. The ratio of boys to girls in a class is 4 : 5. If the number of boys is 20, find the number of girls.

7. If A : B = 4 : 6, B : C = 18 : 5, find the ratio of A : B : C.

8. A bronze statue is made of copper, tin and lead metals. It has1/10 of tin , 1/4of lead and the rest 
copper. Find the part of copper in the bronze statue.

7th Direct variation and indirect variation

In direct variation, when a given quantity (x) is changed in some ratio then the other quantity(y) is also 
changed in the same ratio. Then x/ y = constant

In Indirect variation, when a given quantity (x) is changed in some ratio then the other quantity(y) is do 
not changed in the same ratio. Then xy = constant

Þ It can be stated that if two quantities vary inversely, their product is a constant

1. Choose the correct answer

i) If the cost of 8 kgs of rice is Rs 160, then the cost of 18 kgs of rice is

(A) Rs.480 (B) Rs 180 (C) Rs 360 (D) Rs 1280

ii) If the cost of 7 mangoes is `35, then the cost of 15 mangoes is

(A) Rs 75 (B) Rs 25 (C) Rs 35 (D) Rs 50

iii) A train covers a distance of 195 km in 3 hrs. At the same speed, the distance travelled in 5 hours is

(A) 195 km. (B) 325 km. (C) 390 km. (D) 975 km.

iv) If 8 workers can complete a work in 24 days, then 24 workers can complete the same work in

(A) 8 days (B) 16 days (C) 12 days (D) 24 days

v) If 18 men can do a work in 20 days, then 24 men can do this work in

(A) 20 days (B) 22 days (C) 21 days (D) 15 days

1. If x varies directly as y, complete the given tables:
x
1
1
9
15
y
2
10
16
2. If x varies inversely as y, complete the given tables:

x
20
10
40
50

y


50

250

3. A car travels 360 km in 4 hrs. Find the distance it covers in 6 hours 30 mins at the same speed

4. 7 men can complete a work in 52 days. In how many days will 13 men finish the same work?

5. A book contains 120 pages. Each page has 35 lines . How many pages will the book contain if every 
page has 24 lines per page?

6. A car travels 60 km in 45 minutes. At the same rate, how many kilo metres will it travel in one hour?

7. A car takes 5 hours to cover a particular distance at a uniform speed of 60 km / hr. How long will it take to cover the same distance at a uniform speed of 40 km / hr?

8. 150 men can finish a piece of work in 12 days. How many days will 120 men take to finish the same work?

9. A troop has provisions for 276 soldiers for 20 days. How many soldiers leave the troop so that the provisions may last for 46 days?

10. A book has 70 pages with 30 lines of printed matter on each page. If each page is to have only 20 lines of printed matter, how many pages will the book have?

11. There are 800 soldiers in an army camp. There is enough provisions for them for 6o days. If 400 more soldiers join the camp, for how many days will the provisions last?

12. A wheel makes 48 revolutions in 3 seconds. How many revolutions does it make in 30 seconds?

7th Percentage

The word ‘Percent’ is derived from the Latin word ‘Percentum’, which means ‘per hundred’ or ‘hundredth’ or ‘out of 100’.

• Percentage also means ‘percent’.

• Symbol used for percent is %

• Any ratio x : 100 is called ‘Percent’.

1) Write the following as a percent: (i) 20:100 (ii) 100:93(iii)100/100 (iv)0.07

2) Write the following percent as a ratio: (i) 43% (ii) 17 1/2(iii) 5% (iv) 33 1/3 %

3) Write the following percent as a fraction: (i) 25% (ii) 12 1/2% 2 (iii) 33%

4) 9/10 of your blood is water. What % of your blood is not water.

5)  In a class of 35 students, 7 students were absent on a particular day. What percentages of the students were absent? 

5. Ram bought 36 mangoes. 5 mangoes were rotten. What percentage of the mangoes was rotten?

6. In a class of 50, 23 were girls and the rest were boys. What is the percentage of girls and the percentage of boys?

7. Ravi got 66 marks out of 75 in Mathematics and 72 out of 80 in Science. In which subject did he score more?

8. Express as a decimal (a) 25.7% (b) 15%

9. Find the value of (a)% 1/2 of 200. (b) 0.75% of 40 kg.

10. In 2011, the population of a town is 1,50,000. If it is increased by 10% in the next year, fi nd the 
population in 2012.

11. The percentage of literacy in a village is 47%. Find the number of illiterates in the village, if the population is 7,500.

12. Is it true? 20% of 25 is same as 25% of 20.

13. The tax in a restaurant is 1.5% of your total bill.

a) Write the tax % as a decimal. 
 b) A family of 6 members paid a bill of ` 750. What is the tax for their bill amount? 

 c) What is the total amount that they should pay at the restaurant?

14. Complete these

1) Any fraction with its denominator 100 is called __________

2)1/2 = -----------% 3) 35% = ------------ ( in fraction)

4) 0.05 = ----------------% 5)1/4 = ----- %

7th Profit and Loss

The price at which any one buys goods at the market is called the Cost Price(C.P.).

The price at which one can sell the goods at the market is called the Selling Price (S.P.).

Additional amount given or taken for CP is called the profit.

1. Choose the correct answer:

i) If the cost price of a bag is Rs. 575 and the selling price is Rs.625, then there is a profit of Rs.

(A) 50 (B) 575 (C) 625 (D) none of these

ii) If the cost price of the box is Rs.155 and the selling price is Rs.140, then there is a loss of Rs.

(A) 155 (B) 140 (C) 15 (D) none of these

iii) If the selling price of a bag is `235 and the cost price is `200, then there is a

(A) profit of Rs.235 (B) loss of Rs.3 (C) profit of Rs.35 (D) loss of Rs.200

iv) Gain or loss percent is always calculated on

(A) cost price (B) selling price (C) gain (D) loss

v) If a man makes a profit of Rs.25 on a purchase of Rs.250, then profit% is

(A) 25 (B) 10 (C) 250 (D) 225

1. Sanjay bought a bicycle for Rs. 5,000. He sold it for Rs.600 less after two years. Find the selling price and the loss percent.

2. A fruit seller bought 8 boxes of grapes at Rs.150 each. One box was damaged. He sold the remaining boxes at Rs.190 each. Find the profit / loss percent.

3. A shop keeper bought 10 bananas for `100. 2 bananas were rotten. He sold the remaining bananas at the rate of Rs. 11 per banana. Find his gain or loss % 6. A shop keeper purchased 100 ball pens for Rs. 250. He sold each pen for Rs. 4. Find the profit percent.

7. A vegetable vendor bought 40 kg of onions for Rs. 360. He sold 36 kg at Rs. 11 per
kg. The rest were sold at Rs. 4.50 per kg as they were not very good. Find his profit / loss Percent.

8. A trader mixes two kinds of oil, one costing Rs. 100 per Kg. and the other costing `80 per Kg. in the ratio 3: 2 and sells the mixture at Rs. 101.20 per Kg. find his profit or loss percent.

9. Sathish sold a camera to Rajesh at a profit of 10 %. Rajesh sold it to John at a loss of 12 %. If John paid Rs. 4,840, at what price did Sathish buy the camera?

10. The profit earned by a book seller by selling a book at a profit of 5% is Rs. 15 more than when he 
sells it at a loss of 5%. Find the Cost Price of the book.

7th Simple Interest

1. Radhika invested Rs.5,000 for 2 years at 11 % per annum. Find the simple interest and the amount received by him at the end of 2 years.

2. Find the simple interest and the amount due on Rs. 7,500 at 8 % per annum for 1 year 6 months.

3. Find the simple interest and the amount due on Rs. 6,750 for 219 days at 10 % per annum.

4. Rahul borrowed Rs. 4,000 on 7th of June 2006 and returned it on 19th August2006. Find the amount he paid, if the interest is calculated at 5 % per annum

5. Find the rate percent per annum when a principal of Rs. 7,000 earns a S.I. of Rs.1, 680 in 16 months.

6. Vijay invested Rs.10, 000 at the rate of 5 % simple interest per annum. He received Rs.11, 000 after some years. Find the number of years.

7. A sum of money triples itself at 8 % per annum over a certain time. Find the number of years.

8. A certain sum of money amounts to Rs.10, 080 in 5 years at 8 %. Find the principal

9. A certain sum of money amounts to Rs. 8,880 in 6 years and Rs. 7,920 in 4 years respectively. Find the principal and rate percent.

10. Find the principal that earns `250 as S.I. in 21/2 years at 10 % per annum.

11. In how many years will a sum of Rs. 5,000 amount to Rs.5,800 at the rate of 8 % per annum.

12. A sum of money doubles itself in 10 years. Find the rate of interest.

13. A sum of money doubles itself at 121/2 % per annum over a certain period of time. Find the number of years.

14. A certain sum of money amounts to Rs. 6,372 in 3 years at 6 % Find the principal.

15. A certain sum of money amounts to Rs. 6,500 in 3 years and Rs. 5,750 in 11/2years respectively. Find the principal and the rate percent?

16. Find the rate per cent at which, a sum of money becomes 9/4 times in 2 years.

17) If Ram needs Rs. 6, 00,000 after 10 years, how much should he invest now in a bank if the bank pays 20 % interest p.a?

Comments

  1. All kinds of questions given for better practices. There should be more topics such as Exponents, Linear equations.

    ReplyDelete
  2. Hi, thanks for providing question paper for cbse maths of class 7. It will be very helpful for students in preparation of exam. Please provide solved question paper for physics and chemistry through this blog...

    Thanks in advance....

    ReplyDelete
  3. There should be more qusetion paper for all classes for better practices

    ReplyDelete

Post a Comment

CBSE ADDA :By Jsunil Sir : Your Ultimate Destination for CBSE Exam Preparation and Academic Insights

Class 10 Chapter 02 Acid Bases and Salts NCERT Activity Explanation

NCERT Activity Chapter 02 Acid Bases and Salt Class 10 Chemistry Activity 2.1 Indicator Acid Base Red litmus No Change Blue Blue Litmus Red No change Phenolphthalein Colourless Pink Methyl Orange Pink   Yellow Indictors are substance which change colour in acidic or basic media. Activity 2.2 There are some substances whose odour changes in in acidic or basic media. These are called olfactory indicators. Like onion vanilla, onion and clove. These changes smell in basic solution. Activity 2.3 Take about 5 mL of dilute sulphuric acid in a test tube and add few pieces of zinc granules to it. => You will observe bubbles of hydrogen gas on the surface of zinc granules. Zn + H2SO4 --> ZnSO4 + H2 => Pass the Hydrogen gas through the soap solution. Bubbles formed in the soap solution as Hydrogen gas it does not get dissolved in it

Living science ratna sagar class 6 solutions

Ratna sagar living science 6 answers by jsunil. Class6 Living science solution Term-1 Living Science Solution chapter-1 Source of food Download File Living Science Solution chapter-2 Component of food Download File Living Science Solution chapter-3 Fibre to fabric Download File Living Science Sol ch-4 Sorting of material into group Download File Living Science Soln ch-5 Separation of substance Download File Living Science Solution chapter-6 Change around Us Download File Living Science Solution ch-7 Living and Non Living Download File Living Science Solution ch-8 Getting to Know Plants Download File Living Science Sol ch-9 The Body and Its movements Download File Visit given link for full answer Class6 Living science solution Term-II

Class 10 Metal and Non MetalsChapter 03 NCERT Activity Solutions

X Class 10 NCERT Activity Explanation Class 10 Metals and Non Metals Activity 3.1 Page No. 37 Take samples of iron, copper, aluminium and magnesium. Note the appearance of each sample. They have a shining surface. Clean the surface of each sample by rubbing them with sand paper and note their appearance again. They become more shiny. => Freshly cut Metal have shiny surface Activity 3.2 Page No. 37 Take small pieces of iron, copper, aluminium, and magnesium. Try to cut these metals with a sharp knife and note your observations. They are very hard to cut. Hold a piece of sodium metal with a pair of tongs and try to cut it with a knife. Sodium can be cut easily with knife. Hence K and Na are soft metal cut with knife Activity 3.3 Page No. 38 Take pieces of iron, zinc, lead and copper try to strike it four or five times with a hammer. These metals are beaten into thin sheet on hammering. This property of metal is called malleability and metals are called malleable. Activity 3.4 Page

CBSE I NCERT 10th Numerical Problem solved Reflection and reflection of light

Q. 1. A concave mirror of focal length 20cm is placed 50 cm from a wall. How far from the wall an object be placed to form its real image on the wall?  Solution: V= -50 cm F= -20cm From mirror formula 1/u = 1/f – 1/v = -1/20+ 1/50 = - 3/100  U = - 33.3 cm Therefore, the distance of the object from the wall x =  50 – u X = 50 – 33.3 = 16.7 cm. Q.2. An object is placed at a distance of 40cm from a concave mirror of focal length 15cm. If the object is displaced through a distance of 20 cm towards the mirror, By how much distance is the image displaced? Answer: Here f = - 15 cm, u = - 40 cm Now 1/f = 1/u + 1/v Then 1/v = 1/f – 1/u Or V= uf/u-f =( - 40 x -15)/25 = -24 cm Then object is displaced towards the mirror let u1 be the distance object from the Mirror in its new position. Then u1 = -(40-20) = -20cm If the image is formed at a distance u1 from the mirror then v1 = u1f/u1-f = -20X-15/-20+15 = -60 cm. = - 20 x-15/-20+15 = -60 cm. Therefor

Electricity numerical for class 10 CBSE Trend Setter 50 Problems

1. The current passing through a room heater has been halved. What will happen to the heat produced by it? 2. An electric iron of resistance 20 ohm draws a current of 5 amperes. Calculate the heat produced in 30 seconds. 3. An electric heater of resistance 8 ohm takes a current of 15 A from the mains supply line. Calculate the rate at which heat is developed in the heater. 4. A resistance of 40 ohms and one of 60 ohms are arranged in series across 220 volt supply. Find the heat in joules produced by this combination in half a minute. 5. A resistance of 25 ohm is connected to a 12 V battery. Calculate the heat energy in joules generated per minute. 6. 100 joules of heat is produced per second in a 4 ohm resistor. What is the potential difference across the resistor? 7. An electric iron is connected to the mains power supply of 220 V. When the electric iron is adjusted at minimum heating’ it consumes a power of 360 W but at ‘maximum heating’ it takes a power of 840 W. Ca