Class 10 th maths A P

 Que 1 How many two digits numbers are divisible by 3? 

 Que 2 For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P. ?

 Que 3 Find the 9th term from the end (towards the first term) of the A. P. 5, 9, 13, …………., 185.

 Que 4 In an A.P., if the common difference (d) = – 4 and the seventh term (a7) is 4, then find the first term.

 Que 5 Find how many integers between 200 and 500 are divisible by 8. 

 Que 6 Find the sum given below:
         7 + 10 + 13 + …….. + 46

 Que 7 If the 9th term of an A.P. is zero, then show that its 29th term is doable of its 19th term.

 Que 8 How many terms of the A.P. 18, 16, 14, ………… be taken so that their sum is zero?

 Que 9 Find the sum of first 8 multiples of 3.

 Que 10 Which term of the sequence 114, 109, 104, ……, is first negative term?

 Que 11 Find the sum of n terms of the series
         (4−1n)+(4−2n)+(4−3n ) + ……….

 Que 12 If mth term of an A.P. is 1n and nth term is 1m, then find the sum of its first mn terms

 Que 13 If the sum of first m terms of an A.P. is the same as the sum of its n terms, show that the sum of its first (m + n) terms is zero.

 Que 14 If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.

 Que 15 The sum of first 16 terms of an AP is 112 and sum of its next fourteen terms is 518.                  Find   theAP.

 Que 16 The first term of an A.P. is 3, the last term is 83 and the sum of all its terms is 903. Find            the number of terms and the common difference of the A.P. 

 Que 17 If the sum of first m terms of an A.P. is the same as the sum of its n terms, show that               the  sum of its first (m + n) terms is zero. 

Class 4th Maths Measurement extra question

 Q.1 Arjun had 1 litre of Limca, Anu had 2l 500ml of Frooti and Aman had 5l 750ml of Coke. Find the total amount of the cold drink.

 Q.2 Ram runs a tea-stall. For making 1 cup of tea, he uses 30 ml of milk. How much milk will be needed to make 100 cup of teas?

 Q.3 Rina’s bottle holds 1 litre of water, she drank 230ml from it and her friend Gopal drank 175 ml. Find the amount of water left?

 Q.4 Amna’s grandmother was ill. The doctor gave her a bottle with 250ml of medicine. She has to take the medicine every morning for 10 days. How many millilitres of medicine does she have to take every morning?

 Q.5 Ritu has to take 3 injections in a day for 5 days. Quantity of medicine in 1 injection is 5 ml. Find out the following – a) How much medicine will she need for one day? b) How much medicine is needed in all for 5 days?

 Q.6 Babbu filled 4l 350ml of water in a bucket, 2 litre and 600ml of water was used. Find the quantity of water left?

 Q.7    2 litre and 600 ml of juice is poured equally in 7 glasses. Find the quantity of juice in each glass.

 Q.8 A bottle can hold 300 ml of milk. How many such bottles can be filled from 5 litre of milk?

 Q.9 There is a small can of 260ml of hair oil. If there are 259 cans ,find the total quantity of hair oil. 

 Q.10 A pot can store 20 litre of water. How many times we need to fill the pot, with a mug having a capacity of 250 ml?  

Class 6th Maths Decimal extra ques

 Que 1 Write the following in decimals.

Que 2 Write the following as decimals.
(a) Three tens and eight-tenths
(b) Fifteen point seven

Que 3 Write as fractions in lowest form.
(a) 0.15
(b) 20.25

(c) 3.8

(d) 13.9

(e) 21.2

Que 4 Express the following as rupees using decimals:
(a) 9 paise
(b) 635 paise

Que 5 Write each of the following as decimals:

Que 6 Write the following decimals in their expanded form:
(a) 28.65
(b) 112.05
(c) 36.38
(d) 0.512

Que 7 Express each of the following in terms of litres (L) using decimals:
(a) 625 mL
(b) 760 mL
(c) 11 L 125 mL
(d) 7 L 350 mL

Que 8 Write 3.03, 2.75 and 2.5 in ascending order.

Que 9 Mr. Ranjan purchased 15.500 kg rice, 25.750 kg flour and 3.250 kg sugar. Find the total weight of his purchases. Is it 50 kg or less? If less, how much less?

Que 10 Find: 0.29 + 0.36

Que 11 Show 3.1 on the number line.

Que 12 Subtract the sum of 114.753 and 70.14 from the sum of 93.12 and 212.15.

Que 13 Express the following as cm using decimals.

(a) 2 millimetre

(b) 30 millimetre

(c) 116 millimetre

(d) 4 cm 2 millimetre

Que 14 Which is greater between both terms?

(a) 0.3 or 0.4 

(b) 0.07 or 0.02 

c) 3 or 0.8 

(d) 0.5 or 0.05 

(e) 1.23 or 1.2 

(f) 0.099 or 0.19 

Que 15 Nasreen bought a 3-metre and 20-centimetre cloth for her shirt and 2 metres 5-centimetre cloth for her trousers. Find the total length of cloth that was bought by her.

Class 10th maths REAL NUMBER

QUE 1 HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27, find the other number.

QUE 2 Find LCM of numbers whose prime factorisation are expressible as 3 × 52 and 32 × 72 

QUE 3 Find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively. 

QUE 4 Prove that 2 + 3√5 is an irrational number.

QUE 5 Show that 3√7 is an irrational number. 

QUE 6 Explain why (17 × 5 × 11 × 3 × 2 + 2 × 11) is a composite number? 

QUE 7 whether 4n can end with the digit 0 for any natural number n?

QUE 8 Prove that √5 is irrational and hence show that 3 + √5 is also irrational.

QUE 9Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after what time will they next toll together?

QUE 10 Two tankers contain 850 liters and 680 liters of petrol. Find the maximum capacity of a container which can measure the petrol of each tanker in the exact number of times. 

QUE 11 There are 104 students in class X and 96 students in class IX in a school. In a house examination, the students are to be evenly seated in parallel rows such that no two adjacent rows are of the same class.

a) Find the maximum number of parallel rows of each class for the seating arrange¬ment.
(b) Also, find the number of students of class IX and also of class X in a row.
(c) What is the objective of the school administration behind such an arrangement?

QUE 12 Amita, Sneha, and Raghav start preparing cards for all persons of an old age home. In order to complete one card, they take 10, 16 and 20 minutes respectively. If all of them started together, after what time will they start preparing a new card together?

QUE 13 If two positive integers x and y are expressible in terms of primes as x = p2q3 and y = p3q, what can you say about their LCM and HCF. Is LCM a multiple of HCF? Explain.

Class 10th Triangles Imp ques

Class 8th Algebraic Expression Ncert

NCERT Exempler class 8 comparing quantities

 Que1 Shyama purchases a scooter costing Rs. 36450 and the rate of sales tax is 9%, then the total amount paid by her is

(a) Rs. 36490.50 (b) Rs. 39730.50
(c) Rs. 36454.50 (d) Rs. 33169.50

Que 2 A sum is taken for two years at 16% per annum. If interest is .compounded after every three months, the number of times for which interest is charged in 2 yrs is
(a) 8 (b) 4 (c) 6 (d) 9

 Que 3 Avinash bought an electric iron for Rs. 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought

Rs. 1200. On the transaction, he has a
(a) profit of Rs. 75 (b) loss of Rs. 75 (c) profit of Rs. 30 (d) loss of Rs. 30

Que 4 ………………….is charged on the sale of an item by the government and is added to the bill amount.

 Que 5 In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ……………….

Que 6 Abida bought 100 pens at the rate of Rs. 3.50 per pen and pays a sales tax of 4%. The total amount paid by Abida is .

Que 7 The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

Que 8  In 1975, the consumption of water for human use was about 3850 cu km/yr. It increased to about 6000 cu km/yr in the year 2000.
Find the per cent increase in the consumption of water from 1975 to 2000. Also, find the annual per cent increase in consumption
(assuming water consumption increases uniformly).

Que 9 Babita bought 160 kg of mangoes at Rs 48 per kg. She sold 70% of the mangoes at Rs 70 per kg and the remaining mangoes at Rs 40 per kg. Find Babita’s gain or loss per cent on the whole dealing.

Que 10 The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?

Que 11 Ashima sold two coolers for rs 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

Que 12 A dining table is purchased for Rs 3200 and sold at a gain of 6%. If a customer pays sales tax at the rate of 5%. How much does the customer pay in all for the table?

Conservation of Plants and Animals class 8

 Que:1 Why is the conservation of biodiversity important ?

Que 2 How can we proptect wildlife?

Que 3 What do you mean by biosphere reserve?

Que 4 Explain how deforestation associated with global warming?

Que 5 How does deforestation lead to  frequenr flood and drought?

Que 6  What is Red Data Book?

Que 7  What is the major threat to survival of organism?

Que 8  Name the part of earth which supports the biodiversity.

Que 9  Give examples of two endemic flora

Que 10  Name the plant found in Satpura forest.

Que 11.  How do we protect wildlife?

Que 12  What do you mean by migration? Write causes of migration.

Que 13  What do you meant by Forest Conversation Act?

Que 14  Name two threatened wild animals.

Que 15  What is the tiger Project? When it was launched? 

Chemical effects of electric current class 8th Science

1. What do you mean by gold plating?

2.What happens when electrodes are immersed in water and a current is passed?

3.Why tap water is always good conductors?

4.Explain the functioning of a LED.

5.Is it possible for an electric tester to detect weak current also, if no how can we detect weak current flowing in a circuit?

6.What do you mean by electrolysis and electrolytes?

7.In case of fire before the fireman used the water hoses, they shut off the main electrical supply of the area, why so?

8.In which case the compass needle will deflect more: by testing sea water or by testing drinking water?

9.Show that lemon juice and vinegar are good conductors of electricity.

10.The ordinary water can conduct electricity while distilled water does not. Explain why.

11. What is chemical effect of electricity? Give some examples of chemical effects.

12.Explain the process of electroplating, along with its advantages and uses.

13.Prepare a tester to test conduction based on magnetic effect of the electricity.

Class 8th Comparing Quantities Ncert

 Que :1 Convert the following ratios to percentages:

(a) 3 : 4
(b) 2 : 3

Que 2 : A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

Que 3: If Chameli had ₹ 600 left after spending 75% of her money, how much did she have in the beginning?

Que 4: A man got a 10% increase in his salary. If his new salary is ₹ 1,54,000, find his original salary.

Que 5: The cost of an article was ₹ 15,500. ₹ 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article.

Que 6: A VCR and TV were bought for ₹ 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss per cent on the whole transaction.

QUe 7: A milkman sold two of his buffaloes for ₹ 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.

Que 8: The price of a TV is ₹ 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.

Que 9: I purchased a hair-dryer for ₹ 5,400 including 8% VAT. Find the price before VAT was added.

Que 10: Kamala borrowed ₹ 26,400 from a Bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

Que 11: Find the amount and the compound interest on ₹ 10,000 for 1

12 years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?

Que 12: The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.
(i) Find the population in 2001.
(ii) What would be its population in 2005?

Que 13: A scooter was bought at ₹ 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.