MATHS MAGIC

Thursday, 9 May 2019

Holidays homework for class VI

Friday, 3 May 2019

Wednesday, 1 May 2019

CLASS 10 MATHS HOLIDAY HOMEWORK

Sunday, 28 June 2015

Why do we need math? Because it puts us on a narrow path. Even though it sometimes makes you swell up in wrath. To most, Math just causes you stress, But thats not the case. Its a workers base, Math is in every place. Math doesn't have a realistic face, But when it is used, It leaves a remarkable trace!

Wednesday, 3 October 2012

LINEAR EQUATION IN TWO VARIABLES CLASS 9

1. Find four different solutions of the equation x+2y=6.

2. Find two solutions for each of the following equations:
(i) 4x + 3y = 12
(ii) 2x + 5y = 0
(iii) 3y + 4=0

3. Write four solutions for each of the following equations:
(i) 2x + y = 7
(ii) πx + y = 9
(iii) x = 4y.

4. Given the point (1, 2), find the equation of the line on which it lies. How many such equations are there?

5. Draw the graph of the equation
(i) x + y = 7
(ii) 2y + 3 = 9
(iii) y - x = 2
(iv) 3x - 2y = 4
(v) x + y - 3 = 0

6. Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
(ii) x - y = 2
(iii) y = 3x
(iv) 3 = 2x + y
(v) x - 2 = 0
(vi) x + 5 = 0
(vii) 2x + 4 = 3x + 1.

7. If the point (3, 4) lies on the graph of the equation 3y=ax+7, find the value of ‘a’.

8. Solve the equations 2x + 1 = x - 3, and represent the solution(s) on
(i) the number line,
(ii) the Cartesian plane.

9. Draw a graph of the line x - 2y = 3. From the graph, find the coordinates of the point when
(i) x = - 5
(ii) y = 0.

10. Draw the graph of y = x and y = - x in the same graph. Also, find the coordinates of the point where the two lines intersect.

Linear Equation in two variables class IX

Wednesday, 12 September 2012

HERON'S FORMULA FOR CLASS IX

1. Find the area of an equilateral triangle one of whose sides measure a cm, using heron’s formula

2.Find the area of a triangle, two sides of which are 18cm, and 10cm and the perimeter is 42cm

3. An isosceles triangle has perimeter 30cm and each of the equal sides is 12cm. Find the area of the triangle

4. Sides of a triangle are in the ratio 12: 17: 25 and its perimeter is 540 cm. Find its area

5. A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be grazing

6. Two parallel sides of a trapezium are 60 cm and 77 cm and the other sides are 25 cm 26 cm. find the area of the trapezium

7. Two parallel sides of a trapezium are 120cm and 154cm and other sides are 50cm and 52cm. Find the area of the trapezium

8. The perimeter of a right triangle is 12 cm and its hypotenuse is 5 cm. Find its area

9. The lengths of two adjacent sides of a parallelogram are 51cm and 37cm and one of its diagonal is 20cm.Find Its area

10. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26cm, 28cm and 30cm and the parallelogram stands on the same base 28cm, find the height of the parallelogram

11. Find the area of a quadrilateral ABCD in which AB = 3cm, BC = 4cm, CD = 6cm, DA = 5cm and diagonal AC = 5cm

12. Find the area of a quadrilateral PQRS if PQ = 8cm, QR = 6cm, RS = 14cm, PS = 16cm and diagonal PR= 10cm

13. Find the semi-perimeter of a triangle whose sides are 26cm, 28cm and 30cm

14.The perimeter of a triangle is 240cm. If two of its sides are 78cm and 50cm. Find the length of perpendicular on the sides of length 50cm from opposite vertex

CH- POLYNOMIALS for class IX

1) Find the zeros of the polynomial (a) x² + 7x + 10 (b) x² – 25

2) Using factor theorem, Show that (a - b) is the factor of a (b²-c²) +b (c²-a²) +c (a²-b²)

3) Factorize: (a) 4√3x² + 5x - 2√3 (b) 21x² – 2x + 1/21 (c) 9(2a – b)² – 4(2a – b) –13

4) Factorize: a) 999² - 1 b) (10.2)³ c) 1002 X 998

5) Factorize: a) x³ – 3x² – 9x – 5 b) x³ + 7x² – 21x – 27

6) Factorise: (a) 3x² + 27y² + z² - 18xy +6 √3yz -2 √3zx (b) 27 x³ + 125y³ ( c) (2a – 3b + c )²

(d) [x – 1/x y]³ (e) x⁴ y⁴ – x y

(f) 8x³ – (2x – y)³ (g) 27 a⁶ - 1

7) For what value of a is 2x³ + ax² + 11x + a + 3 exactly divisible by (2x – 1)

8) If x – 2 is a factor of a polynomial f(x) = x⁵ – 3x⁴ – ax³ + 3ax² + 2ax +4, then find the value of a

9) Find the value of a and b so that x² – 4 is a factor of ax⁴ + 2x³ – 3x² + b x – 4

10) Find the value of a and b so that polynomial x³ – ax² -13x + b is exactly divisible by (x-1) as well as (x+3)

11) The polynomial x³ – mx² +4x + 6 when divided by (x+2) leaves remainder 14 find the value of m

12) If the polynomial ax³ + 3x² -13 and 2x³ – 5x + a when divided by (x – 2) leave the same remainder, find the Value of “a”

13) If both (x – 2) and (x – ½) are factors of px² + 5x + r, show that p = r

14) If f(x) = x⁴ – 2x³ + 3x² – ax + b is divided by x-1 and x+1 the remainders are 5 and 19 respectively, then find a and b

15) Show that x + 1 and 2x – 3 are factors of 2x³ – 9x² + x + 12

16) By using suitable identity, find the value of:

(a) (-6)³ + 13³+ (-7)³ (b) (-21)³ + (28)³ (c) (9.8)³ – (11.3)³ + (1.5)³ (d) (8/15)³ + (-1/3)³ + (-1/5)³

17) Find the remainder when f(x) = 4x³ – 12x² + 14x – 3 is divided by g(x) = x – 1

18) Find the remainder when x⁵¹ + 51 is divided by x + 1

20) Find the remainder when x³ – px² + 6x – p is divided by (x–p)

21) Find the value of x³ + y³ + 15xy – 125 when x + y = 5

22) Find the value of p³ – q³ , if p – q = 5/7 and p q = 7/3

23) If a + b + c =8, a² + b² + c² = 30. Find the value of a b + b c + c a

24) If 2x + 3y = 13 and x y = 6 then, find 8x³+ 27y³

25) Find the value of a³+b³+c³–3abc, when a+b+c=8 and ab+bc+ca=25

26) Find the value of x³ + y³ + z³ – 3xyz, if x+y+z = 12 and x² + y² + z² =70

27) If x + y + z = 1, x y + y z + z x = -1 and xyz = -1, find the value of x³ + y³ +z³

28) If (a + b)² = 2a² + 2b², show that a = b

29) If (a + b + c) = 0, then prove that a³ + b³ + c³ = 3abc

30) Prove that 2x³ +2y³ + 2z³ – 6xyz =(x + y + z) [(x – y )² + ( y – z )² + ( z – x )² ]

31) Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given 25a² – 35a + 12

32)Simplify : (a + b + c )² + (a – b + c )² + ( a + b - c)²

33)What must be subtracted from 4x⁴ – 2x³ – 6x² + x – 5, so that the result is exactly divisible by 2x² + x - 1

34)Find the dimensions of a cuboid, whose volume is 2py² + 6py - 20p

35) If p(x) = x² – 4x + 3, evaluate p (2) – p (-1) + p (1/2)

CH- NUMBER SYSTEM CLASS IX

Tuesday, 7 February 2012

Test of algebra and linear equation

Algebra

Sunday, 5 February 2012

Q .Solve and check the solution in following LINEAR EQUATIONS :-

Thursday, 1 December 2011

ACTIVITY

AIM:- To understand the concept of generalization of arithmetic problems

MATERIAL REQUIRED

1) 1)Toothpicks or matchsticks

2) 2) Fevicol

No. of L’s	1	2	3	4	30	n
No. of matchsticks used	2	4	6	8	60	2n

No. of huts	1	2	3	4	n
No. of matchsticks used	6	11	16	21	5n+1

Activity

AIM-To verify vertically opposite angle are equal

Material Required –

1) Origami sheet

2) Scissors

3) Geometry box

Procedure

1) Draw vertically opposite angle on origami sheet ( angle1,angle3) and (angle2,angle4)

2) Cut angle 2 and paste it on angle 4

3) Angle2 covers angle4 exactly

4) Therefore angle2=angle4

5) Similarly angle 1= angle3

RESULT- Vertically opposite angles are equal

Tuesday, 15 November 2011

ALGEBRA PRACTICE WORKSHEET

Pythagoras theorem Assignment

Mathematics assignment for class VII

Pythagoras theorem

1. A 10 m long ladder is leaning against a wall. The bottom of the ladder is 6 m

from the base of where the wall meets the ground. At what height from the ground does the top of the ladder lean against the wall?The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

Ans 10feet

2. Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?

Ans 15 inches

3. If the legs of an isosceles right triangle are 5 inches long, approximate the length of the hypotenuse to the nearest whole number.

Ans 7 is nearest whole number

4. Town A is 9 miles from town B, and 12 miles from town C. A road connects towns B and C directly. Find the length of this road.

Ans 15 mile

5. Lisa drives her car 5 km south and then 12 km east. How far is she from her starting point?

Ans 13 km

6. Dick rides his bike 8 km south and then 15 km west. How far is he from his starting point?

Ans 17 km

7. If a leg of a triangle is 7 ft long, and another leg is 24 ft long, what is the length of the hypotenuse?

Ans 25 ft

8. A garden is in the shape of a square of sides 90 feet9. Find the height of an equilateral triangle of 20 cm.

Friday, 19 August 2011

TANGRAM

http://www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/7_Tangrams/index.html