X REAL NO & POWER & ACID BASE :ASSIGNMENT 6

X  REAL NO & POWER & ACID BASE :ASSIGNMENT 6

1.       [1]Why  13/120  is a non–terminating  rational number

2.       [1]Explain why 7 × 11 × 17 + 34 and is a composite numbers.                                         

3.       [1]Show that 12 ⁿ cannot end with the digit 0  for any natural number n.  

4.       [2]Use Euclid’s division algorithm to find the HCF of :  867 and 255

5.       [2]Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers. 510 and 92

6.       [3]Ramu, a book seller has  370 books of Maths and 130 books of English. He wants these to stack in such a fashion that each stack has sae number of books and they take least area of cupboard. What is the number of books can be places in each stack for this purpose

7.       [3]An army contingent of  356 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?    

8.        [1]Consider the 6ⁿ , where n is a natural number. Verify whether there is any value of n for which 6ⁿ can be divided by 7.

9.       [2]Find the LCM and HCF of the following integers by applying the prime factorization method.   27, 21 and 32

10.    [3]Four ribbons measuring 14 m, 18 m, 22 m and 26 m respectively are to be cut into least number of pieces of equal length. What is the length of each piece?          

11.    [3]Find the largest positive integers that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively.

12.    [4]Use Euclid’s division lemma to show that the cube of any +tive integer is of the form 9m, 9m + 1 or 9m – 1.

13.    [2]Prove that the following numbers are irrational :

(i) √3      (ii) 6+√2            (iv) 7√5  (v) 2– 3√11       (viii) √ 6

14.    [2]Use Euclid's division algorithm to show that any positive odd integer is of the form

4q + 1 or 4q + 3, where q  is some integer              

15.    [1]Name three mineral acids and Organic acids. Are these weak or strong ?

16.    [2]What are indicators? Name 2 natural and 2 synthetic indicators. How do these changes colours when acrted with acidic or basic substances? Mention.

17.    [2]Can hydrogen ion exist independantely? If not in what form does it exist?

18.    [1]Why does an aqueous solution of an acid conduct electricity?

19.    [2]Why a substance is acidic or basic in nature? What happens to these when these are dissolved in water ?

20.    [1]Why does dry HCl gas does not change the colour of a dry blue litmus paper?

21.    [2]Illustrate an activity to show that only substances that can disassociate its hydrogen ion can conduct electricity and not all .

22.    [2]An electric heater is rated 2kW, 220 V . If a fuse is to be connected to it; should it be 5A or 15 A. Find.

23.    [3] A bulb is rated as 220 V, 200 W. What is its resistance? Four such bulbs burn for 5 hours. What is the electrical energy consumed in kilowatt-hour?

IX : CELL & POLY : TEST 4

IX : CELL & POLY : TEST 4                                            M: 23      S: 24

1.        [1] Full form of ATP.

2.       [2,2,1] Write short note on (a) Nucleus   (b) Plasma membrane (c) Cytoplasm

3.       [2] Why are lysosomes known as suicide bags ?

4.       [1] What would happen if dried raisins are kept in tap water for 10 minutes? Give reason for your answer.

5.       [5] What  is osmosis  ? What  happens to a cell when it is placed in hypotonic, isotonic  and hypertonic solutions respectively. State two points of differences between osmosis  and diffusion. What  is plasmolysis ?

6.       [2,2] Draw  and  label prokaryotic cell.  In what  ways  is it different from  a eukaryotic cell ? (Write  any  two  differences)

7.       [2]  Write  the  composition of a chromosome.   Name  the  part  of a cell where it is formed.

8.       [1,1,2] Which organelle is known as the powerhouse of the cell ? Why ? Draw its labeled diagram ?

9.       [12] Fatorize

a) 25x² + 4y² + 16z² + 20xy – 16yz – 40xz

b) 2x² + y² + 8z² – 2xy + 4 yz – 8xz

c) 27 – 125a³ – 135a + 225a²                                    d) 8x² + 30x – 8   

(e) 18 m² – 8n²                                                          g )  27x³ + y³ + z³ – 9xyz  

10.    [3] If x + 2y + 5 = 0, then find the vslue of  x³ + 8y³ - 30xy + 125

11.    [3] Without actually calculating the cubes, find the value of each of the following:

(i) (–12)³ + (7)³ + (5)³                             (ii) (997) ³                           (iii)    995 x 1005

12.    [3] If  p + q + 10 = 6 , then find the values of     p  ³ +  q³ – 12 pq  + 64  

13.    [1] The coefficient of  x² in ( 3x² – 3x ) (4x + 7 ) is .

14.    [1] Find  the zeros of  x² – 5x – 6

X : Life Processes & Word Problems : Test 4

X : Life Processes & Word Problems  : Test 4             M: 23    S: 20

1.       [3] A two digit number is such that the ten's digit exceeds twice the unit's digit by 2 and the number obtained by inter-changing the digits is 5 more than three times the sum of the digits. Find the two digit number.        

2.       [3] A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

3.       [2] Ram can row a boat 8 km downstream and return in 1 hour 40 minutes. If the speed of the stream is ,2km/h, find the speed of the boat in still water.

4.       [3] An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the trains.

5.       [3] Three years ago, Tom was thrice as old as Robert. Seven years hence, Tom will be twice as old as Robert will be men. Find their present ages.

6.       [3] In a class test ,the sum of Ram’s marks in Hindi and English is 30. Had he got 2 marks more in  Hindi and 3 less in English the product of the marks would have been 210. Find her marks in the two subjects

7.       [3] Rs 9,000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.

8.       [3] A & B are 80 km a part. A cars start from A & B. If they move in same directions  they meet in the 8 hrs & if in opposite direction , meet in 1 hr & 20 minutes find their speeds.

9.       [2] Describe the structure and functioning of nephrons.

10.    [4] Draw a diagram of the human urinary system and label it          

[ A ] (i) Kidney  (ii) Ureter (iii) Urinary Bladder (iv) Urethra                                

11.     [3] Two metallic wires A and B of the same  material are connected in parallel . Wire a has length l and radius r , wire B has a length 2l and radius 2 r . Calculate the ratio of the equivalent of wire A .

12.    [2] How is an ammeter and voltmeter connected in a circuit to measure current and voltage flowing through it ?

13.    [1]What is meant by the potential difference between two points is 1 V?

14.    [1] A current of 0.5 A is drawn by a filament of an electric bulb for 5 minutes. Find the amount of electric charge that flows through the circuit.                    

15.    [1] How much work is done in moving a charge of 2 C across two points having a pot .diff. of 12 V?

16.    [3] A 4W resistance wire is doubled on it. Calculate the new resistance of the wire.

17.    [3] Two metallic wires A and B of the same material are connected in parallel. Wire A has  length l and radius r, wire B has a length l /2and radius 3r. Compute the ratio of the total  resistance of parallel combination and the resistance of wire A.