## Maths Handwritten Notes in Hindi PDF Free Download

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### Math Questions Answers

Q 1. Which is greater than 4?

(a) 5,

(b) -5,

(c) -1/2,

(d) -25.

Solution:

5 greater than 4.

Answer: (a)

Q 2. Which is the smallest?

(a) -1,

(b) -1/2,

(c) 0,

(d) 3.

Solution:

The smallest number is -1.

Answer: (a)

Q 3. Combine terms: 12a + 26b -4b – 16a.

(a) 4a + 22b,

(b) -28a + 30b,

(c) -4a + 22b,

(d) 28a + 30b.

Solution:

12a + 26b -4b – 16a.

= 12a – 16a + 26b – 4b.

= -4a + 22b.

Answer: (c)

Q 4. Simplify: (4 – 5) – (13 – 18 + 2).

(a) -1,

(b) –2,

(c) 1,

(d) 2.

Solution:

(4 – 5) – (13 – 18 + 2).

= -1-(13+2-18).

= -1-(15-18).

= -1-(-3).

= -1+3.

= 2.

Answer: (d)

Q 5. What is |-26|?

(a) -26,

(b) 26,

(c) 0,

(d) 1

Solution:

|-26|

= 26.

Answer: (b)

Q 6. Multiply: (x – 4)(x + 5)

(a) x2 + 5x – 20,

(b) x2 – 4x – 20,

(c) x2 – x – 20,

(d) x2 + x – 20.

Solution:

(x – 4)(x + 5).

= x(x + 5) -4(x + 5).

= x2 + 5x – 4x – 20.

= x2 + x – 20.

Answer: (d)

Q 7. Factor: 5×2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

Solution:

5×2 – 15x – 20.

= 5(x2 – 3x – 4).

= 5(x2 – 4x + x – 4).

= 5{x(x – 4) +1(x – 4)}.

= 5(x-4)(x+1).

Answer: (a).

Q 8. Factor: 3y(x – 3) -2(x – 3).

(a) (x – 3)(x – 3),

(b) (x – 3)2,

(c) (x – 3)(3y – 2),

(d) 3y(x – 3).

Solution:

3y(x – 3) -2(x – 3).

= (x – 3)(3y – 2).

Answer: (c).

Q 9. Solve for x: 2x – y = (3/4)x + 6.

(a) (y + 6)/5,

(b) 4(y + 6)/5,

(c) (y + 6),

(d) 4(y – 6)/5.

Solution:

2x – y = (3/4)x + 6.

or, 2x – (3/4)x = y + 6.

or, (8x -3x)/4 = y + 6.

or, 5x/4 = y + 6.

or, 5x = 4(y + 6).

or, 5x = 4y + 24.

or, x = (4y + 24)/5.

Therefore, x = 4(y + 6)/5.

Answer: (b).

Q 10. Simplify:(4×2 – 2x) – (-5×2 – 8x).

Solution:

(4×2 – 2x) – (-5×2 – 8x)

= 4×2 – 2x + 5×2 + 8x.

= 4×2 + 5×2 – 2x + 8x.

= 9×2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Q 11. Find the value of 3 + 2 • (8 – 3)

(a) 25,

(b) 13,

(c) 17,

(d) 24,

(e) 15.

Solution:

3 + 2 • (8 – 3)

= 3 + 2 (5)

= 3 + 2 × 5

= 3 + 10

= 13

Answer: (d)

Q 12. Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

Solution:

33/4 ÷ 4 pounds.

= (4 × 3 + 3)/4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that 1 pound = 16 ounces.

Therefore, 15/16 pounds = 15/16 × 16 ounces.

= 15 ounces.

Answer: 15 ounces.

Q 13. Factor: 16w3 – u4w3

Solution:

16w3 – u4w3.

= w3(16 – u4).

= w3(42 – ((u2)2).

= w3(4 + u2)(4 – u2).

= w3(4 + u2)(22 – u2).

= w3(4 + u2)(2 + u)(2 – u).

Answer: w3(4 + u2)(2 + u)(2 – u).

Q 14. Factor: 3x4y3 – 48y3.

Solution:

3x4y3– 48y3.

= 3y3(x4 – 16).

= 3y3[(x2)2 – 42].

= 3y3(x2 + 4)(x2 – 4).

= 3y3(x2 + 4)(x2 – 22).

= 3y3(x2 + 4)(x + 2)(x -2).

Answer: 3y3(x2 + 4)(x + 2)(x -2)

Q 15. What is the radius of a circle that has a circumference of 3.14 meters?

Solution:

Circumference of a circle = 2πr.

Given, the circumference = 3.14 meters.

Therefore,

2πr = Circumference of a circle

or, 2πr = 3.14.

or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].

or, 6.28r = 3.14.

or, r = 3.14/6.28.

or, r = 0.5.

Answer: 0.5 meter.

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**Math Questions Answers**

Q 1. What is the highest common factor of the numbers 30 and 132?

Answer – 6

Q 2. Our measurement of time is based on which number system? (A popular maths quiz question for students!)

Answer – The Sexagesimal Number System.

Q 3. 123+4-5+67-89 = ?

Answer – 100

Q 4. From the number 0 to the number 1000, the letter “A” appears only in?

Answer – 1000 (One Thousand).

Q 5. If 1=3, 2=3, 3=5, 4=4, and 5=4, what is 6=?

Answer – 3

Q 6. Which number is the equivalent to 3^(4)/3^(2)?

Answer – 9

Q 7. Using only the process of addition, how to add eight 8’s to get the final number of 1000?

Answer – 888+88+8+8+8=1000

Q 8. What is the year 1982 in Roman Numerals?

Answer – MCMLXXXII

Read: Frequently asked GRE math questions you should know!

Q 9. What is next in the following number series: 256, 289, 324, 361 . . . ?

Answer – 400

Q 10. Three people in a room tell lies for 1/3rd of their time. A coin flip is conducted with the three of them, and all of them say it is “heads.” What is the probability that the coin actually has the “head” face up? (Probability is a concept often tested in maths quiz questions!)

Answer – 8/9

Q 11. At a Christmas party, everyone shook hands with everyone else. There were a total of 66 handshakes that happened during the party. How many people were present?

Answer – 12

Q 12. What is the value of Pi to four individual decimal places?

Answer – 3.1416

How to study abroad- test scores

Do not spend more than 1 minute on a specific question. Timing yourself this way while solving questions will help you better manage your time on test day.

Q 13. What does 6 raise to the power of 0 equal?

Answer – 1

Q14. What is the name of a triangle that has two sides of the same length?

Answer – Isosceles

Q 15. How many vertices are present on a cube?

Answer – 8

Q 16. An object is thrown into the air. After a while, it falls back to the Earth. The flight path of the object traces what shape?

Answer – A parabola.

Q 17. Adding the numbers between 1 to 100 consecutively (1+2+3+4+…) gives you what final answer?

Answer – 5050

Q 18. What is a flat image that can be easily displayed in 3D called? (Some maths quiz questions may be based on the application of principles.)

Answer – A hologram.

Q 19. -1.43, 1 >, 3/14, .09, and 5,643.1 have one thing in common. What is that?

Answer – These numbers are not integers.

Q 20. All natural numbers are whole numbers. However, not all whole numbers can be considered natural – True or False?

Answer – True.

Q 21. You are given a 3-digit number. The second digit of this number is four times bigger than the third digit. The first digit of the number is 3 less than the second digit. What is the number?

Answer – 141

Q 22. Solve the following equation: -15 + (-5x)=0.

Answer – -3

Q 23. A car is traveling at the rate of 75 kilometers per hour. How many meters is the car traveling in one minute?

Answer – 1250 meters per minute.

Q 24. What is the rounded-off value of 6488 cakes to the nearest 100 cakes? (Application maths quiz questions such as this are designed to test basic mathematical understanding.)

Answer – 6500 cakes.

Q 25. How many hours are there in a year (rounded to the nearest hour)?

Answer – 8760 hours.

bodmas rule-math

Making a note of the most important concepts will ensure that you spend your practice time effectively.

Q 26. A man is currently 4 times older than his son. In 10 years, the man will be three times older than his son. What is the man’s age presently?

Answer – 80

Q 27. Which prime number is closest to 100?

Answer – 101

Q 28. Which number is best represented in binary as 100?

Answer – 4

Q 29. What 3 numbers result in the same answer when they are added or multiplied altogether?

Answer – 1, 2, and 3.

Q30. Sarah read a novel in 20 days. She made it a habit to read 16 pages every day for the first 15 days. She then started reading 18 pages every day for the last 5 days. How many pages was the book? (In maths quiz questions such as these, a firm foundation in basics can help you arrive at the right answer.)

Answer – 330 pages.

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