**How Is Two Thirds Of A Number Calculated** – Two-thirds squared of a number equals 17. Then find the number. 8. (a) Given PS = 5 cm and SM = 8 cm. △ Find the area of PQN 1 in the following figure, PS = 5cm and SM = 8cm. Calculate the area of △PQN. (Answer: 20 cm²)

Question 1 Views: 5, 130 56. For a two-digit number, the sum of the digits is 11. The number created by changing the digits of that number is 45 larger than the original number. Find the original number

## How Is Two Thirds Of A Number Calculated

Question 2 Views: 5,454 If a p a q = ( a p ) q , prove that p ( q − 2 ) + q ( p − 2 ) = 0

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Question 3 Views: 5, 390 Find the value of x and y. If the inverse of the matrix (2 x 5 7 9) is the matrix (9-5 y 4), calculate the x and y values.

Question 4 Views: 5, 245 In the given figure, let O be the center of the circle. If ∠ POS = 6 0 ∘ , find the value of △ QSR. In the given figure, O is the center of the circle. If overparen}=overparen}overparen}=overparen} and △ POS = 6 0 ∘ , find the value of 4QSR. Answer: 3 0 ∘3. In the combined English and Physics exam: 7. If the price of sugar increases by 25%, 36% of candidates said in English; 28% in Physics and related fields 1 2 9, meaning (1) percent of candidates passed both exams. a) the total number of cards in proportion. 4. In a joint examination of the subjects mathematics and chemistry. 84% of candidates pass in mathematics, 76% in chemistry and B h ∘ fatod in both subjects. Find: (i) the percentage of failed candidates. (i) Subsequently, 340 candidates passed the examination. check? By what percentage is B’s income less than A’s? 6. Mona is 20% younger than Neetu. By what percentage is Neetu older than Mona? 50 percent more than number three. Percentage of first number sec number? EXERCISE 7 (C) 1. A bag contains 8 red balls, 11 blue balls and 40 percent less than the third number. What percentage is the prime number x? 6 green balls. Find the number of blue balls in the bag. 2. Mohan receives ₹1,350 from Geeta and ₹650 from Rohit. What percentage of the money Mohan gets from Geeta and Rohit does Rohit get? In each subject, one percent of the grades is paid as income tax and the remaining 75% is paid for clothes rent, food, 9. A is 25% older than B. What percentage of B’s clothes, etc. How much money is left less than A? Man? 10. (i) Multiply 180 by 25%. 4. A number initially increases by 20% and (ii) 140 decreases by 18%. This reduces the number by 10 percent. Find the total change in number as 11. The elections featured three candidates who received 29,200, 58,800 and 72,000 votes. Find the percentage. The number of votes won is 5. One number increases by 10 percent and the candidate. This increases the number by another 20 percent. What is the sum in 12? (i) An amount that increases by 23%? becomes 861; Find the number 6. In 2003, the output of a factory (ii) A fell from 16 percent to 25 percent. But in 2004 there are 798; Find the number (production) increased by 40% compared to the beginning of 2004. Count 13. The price of sugar has increased by 20%. B) What percentage of production consumption should be proposed in these two years? Reduce your sugar intake so it stays the same?

Question 3 Results: 5, 711 Find the value of 6/ ( 5 − 3 ), where 3 = 1.732 and 5 = 2.236

Question 4 Average score: 5,712 ABCD is a square and BD is one of its diagonals; as shown in the picture. Find the area of square ABCD.4.8 sq.m. Units 3.6 sqm 10 sqm units. 16 square meter units. the units

### Fraction Of A Quantity Worksheet

Question 1 Views: 5,098 EXERCISE 3.2 1 If x − y = 8 and x y = 5, find x 2 + y 2 . 2 If x + y = 10 and x y = 21, find 2 (x2 + y 2). If 3 2 a + 3 b = 7 and ab = 2, find 4 a 2 + 9 b 2 . 4 3 x − 4 If y = 16 and x y = 4, find the value of 9 x 2 + 16 y 2 . 5 If x + y = 8 and x − y = 2, find the value of 2 x 2 + 2 y 2 . Add 2 (x 2 + y 2 ) = ( x + y ) 2 + ( x – y ) 2 . 6 If a 2 + b 2 = 13 and ab = 6, find (i) a + b (ii) a – b. 7 If a + b = 4 and ab = − 12, find (i) a − b (ii) a 2 − b 2 . 8 If p − q = 9 and pq = 36, evaluate (i) p + q (ii) p 2 − q 2 . 9 If x + y = 6 and x − y = 4, find (i) x 2 + y 2 (ii) x y. Addition (ii) 4 x y = (x + y) 2 – (x – y) 2. 10 If x − 3 = x 1 , find the value of x 2 + x 2 1 . Add x − 3 = x 1 ⇒ x − x 1 = 3. 11 If x + y = 8 and x y = 3 4 3, (i) x − y (ii) 3 ( x 2 + y 2 ) values (iii) 5 ( x 2 + y 2 ) + find. 4 (x – y). 12 If x 2 + y 2 = 34 and x y = 10 2 1 , find the value of 2 (x + y) 2 + (x − y) 2 . 13 If a – b = 3 and ab = 4, find a 3 – b 3. 14 2 If a − 3 b = 3 and ab = 2, find the value of 8 a 3 – 27 b 3. 15 If x + x 1 = 4, find (i) x 2 + x 2 1 (ii) x 4 + x 4 1 (iii) x 3 + x 3 1 (iv) x 16 values x − x 1 = 5, find the value of x 4 + x 4 1. 17 If x − x 1 = 5, find the values of (i) x 2 + x 2 1 (ii) x + x 1 (iii) x 3 + x 3 1 . 18 If x + x 1 = 6, find (i) x − x 1 (ii) x 2 − x 2 1 . 19 If x + x 1 = 2, prove that x 2 + x 2 1 = x 3 + x 3 1 = x 4 + x 4 1 .

Question 2 Views: 5, 746 For the given expression to be a perfect square, the middle term must be equal to 2 ( 3 a )( 5 b ), which is 30 ab, which is not the case. So it’s not a perfect framework. In the equation, the squared term of 36 is negative, so it is not a perfect square. 4 x 4 + 36 x 2 + 81 = (2 x 2) + 2 ⋅ (2 x 2) (9) + (9) 2.

Question 3 Views: 5, 957 122 x 2 − 9 x + 10 = 0 (i) if x ∈ N (ii) x ∈ Q .

Question 4 Views: 5, 264 An isosceles triangle with a side of 6 cm is inscribed in a circle. Find the radius of the circle