Answer the following
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CBSE 9th Mathematics Term 2 -Revision
Answer the following questions
Section-A
1. Find the value of the polynomial 2x + 5 at x = – 3.
2. Find the volume of a sphere whose surface area is 616 sq. cm.
3. A joker’s cap is in the shape of a right circular cone with base radius 7 cm and height
24 cm. Find the area of sheet required for 10 such caps.
4. Prove that “A diagonal of a parallelogram divides it into two congruent triangles”
IGCSE CIE Mathematics Revision Sheet - 1
Marks: 48
Answer the following
1.
(a) (i) Draw the reflection of triangle T in the line x = 0. [2]
(ii) Draw the rotation of triangle T about (–2, –1) through 90° clockwise. [2]
(b) Describe fully the single transformation that maps triangle T onto triangle U. [2]
2.
(a) (i) Draw the reflection of triangle T in the line x = 0. [2]
(ii) Draw the rotation of triangle T about (–2, –1) through 90° clockwise. [2]
(b) Describe fully the single transformation that maps triangle T onto triangle U. [2]
2.
[3]b)
[3]
3.
(b) Find f -1(x). [2]
(c) Find gf(x) in its simplest form. [3]
(d) Solve the equation h-1(x) = 0.5 [1]
[1]
AB is parallel to DC.
AB = 55 m, BD = 70 m, angle ABD = 40° and angle BCD = 32°.
(a) Calculate AD [4]
(b) Calculate BC. [4]
(c) Calculate the area of ABCD. [3]
5. (i) Show that the volume of a metal sphere of radius 15 cm is 14 140 cm3, correct to 4 s.f [2]
(ii)Calculate the volume of water needed to fill the tank [3]
(iii) The sphere is removed from the tank. Calculate the depth, d, of water in the tank. [2]
6. [6]
(b) Determine whether each of the turning points is a maximum or a minimum.
Give reasons for your answers. [3]
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CBSE 8th Mathematics Worksheet - Important Questions-Linear Equations & Understanding Quadrilaterals
Answer the following
1. Solve
a)
b)
c)
d)
e)
2. Simplify
a) 0.4(3x –1) = 0.5x + 1
b) 5(x – 1) – 2(x + 8) = 0
c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
3. Solve : 5x – 3 = 3x + 7
4. The sum of three consecutive numbers is 156. Find the numbers.
5. Fifteen added to thrice a whole number gives 93. The number is __________.
6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age
7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
8. Find x
2. Simplify
a) 0.4(3x –1) = 0.5x + 1
b) 5(x – 1) – 2(x + 8) = 0
c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
3. Solve : 5x – 3 = 3x + 7
4. The sum of three consecutive numbers is 156. Find the numbers.
5. Fifteen added to thrice a whole number gives 93. The number is __________.
6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age
7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
8. Find x
9. Find the values of x and y
10. Each interior angle of a polygon is 108°. Find the number of sides of the polygon.
11. If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, find the ratio of these angles.
12. The angles of a quadrilateral are in the ratio 3 : 7 : 6 : 4. Find the angles.
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CBSE 10th Mathematics Worksheet- Quadratic Equations
In this post, you can find some most important questions from the Chapter, "Quadratic Equations".
You can print or save in PDF format. It will help you to recall your Class 10 Mathematics concepts and also helps in your Final Board Exam.
If you are looking for important questions/information from any particular chapter,kindly let me know in comments. I am happy to assist you.
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Answer the following
- Find the discriminant of the equation: 2x2 – 7x + 3 = 0
- Find the nature of roots of equation 9x2 + 12x + 4 = 0
- If 2 is a root of the equation x2 + bx +12 =0 , find the value of b and find the other root.
- Solve 3x2 + 6x + 1 =0 by method of completing perfect square
- Solve by factorisation : a 2x 2 – ( a 2b 2 + 1)x + b2= 0
- The sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64m, find the sides of the two squares.
- In a flight of 2800km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100km/hr and time increased by 30 minutes. Find the original duration of flight.
- If the price of petrol is increased by Rs.2 per litre, a person will have to buy 1 litre less petrol for Rs.1740. Find the original price of petrol at that time. (i) Why do you think the price of petrol is increasing day by day? (ii)What should we do to save petrol?
- Rs. 9000 were divided equally among a certain number of students. Amal was given the responsibility of dividing this amount among the students but 20 more students admitted to the school. Now each student got Rs.160 less. Find the original number of students? What value of Amal is depicted in the question?
- At present Rina‘s age is 2 more than the square of her daughter Hina‘s age. When Hina grows to her mother‘s present age, Rina‘s age would be one year less than 10 times the present age of Hina.Find the present ages of Rina and Hina.
- Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
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CBSE 9th Mathematics Important Questions/ Worksheet - Heron's Formula
Answer the following
1. Find the area of a triangle, two sides of which are 60 cm and 100 cm and the perimeter is 300 cm.
2. In the figure, find the area of the quadrilateral PQRS.
3. Find the cost of leveling a ground in the form of a triangle with sides 16m, 12m and 20m at Rs.4 per sq. meter.
5. An umbrella is made by stitching 10 triangular pieces of cloth of 5 different colour each piece measuring 20cm, 50cm and 50cm. How much cloth of each colour is required for one umbrella? (Use√6 = 2.45)
7. A park in the shape of a quadrilateral ABCD has C = 90°. AB = 18 m, BC = 24 m, CD = 10 m and AD = 16 m. How much area does it occupy?
8. Anu has a piece of land which is in the shape of a rhombus (see fig.) She wants her daughter and son to work on the land and produce different crops. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonal is 160 m, how much area each of them will get for their crops?
9. 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 getting?
10. Find the height of a trapezium in which parallel sides are 25 cm 77 cm and non-parallel sides and 26 cm and 60 cm. Given the area of the trapezium as 1644 cm^2
9. 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 getting?
10. Find the height of a trapezium in which parallel sides are 25 cm 77 cm and non-parallel sides and 26 cm and 60 cm. Given the area of the trapezium as 1644 cm^2
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CBSE 9th Mathematics Important Questions/ Worksheet - Lines and Angles
Answer the following
1. If an angle differs from its
complement by 10°, find the angle
2. The supplement of an angle is
one third of itself. Determine the angle and its supplement.
3. Two complementary angles are
such that two times the measure of one is equal to three times measure of the
other. Find the measure of the large angle.
4. If x : y : z = 5 : 4 : 6. if
XOY is a straight line find the values of x, y and z
5. If AB║DF, AD║FG, ∠BAC = 65°, ∠ACB = 55°. Find ∠FGH
6. AB║ED
and ∠ABC = 30°, ∠EDC = 70° then find x°
7. If lines AB, CD and EF
intersect at O. Find the measures of ∠AOC, ∠DOE and ∠BOF
9. In the given figure, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.
10. Find x and y in the following
figure.
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