class 8th Science force and pressure

 Question 1.

Calculate the pressure if 300N force is exerted on the box and the area of contact is 100 cm².

Question 2.
If 200N force exerted on the top of the box and area of contact is 5 m². Calculate the pressure.

Question 3.
How can a force effect the objects?

Question 4. 

What is pressure? What happens to the pressure when area on which it is applied increases?

Question 5. 

We observe that the wheels of buses and trucks are broader than the wheels of car or scooters. Why?

Question 6.

Why do mountaineers suffer from nose bleeding at high altitudes?

Question 7. 

How does the medicine enter a dropper?

Question 8.

Why are the slings of school bags broad?

Question 9.
What do you understand by atmospheric pressure. Explain giving example.

Question 10.

What will happen to the human body if the atmospheric pressure suddenly becomes zero?

Class 8th factorisation questions

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