Very Short Answer Type Questions 10 [AS1] Answer the following questions in one sentence. (i) M.P = Rs.1300, Discount = 20%. Find the discount. (ii) M.P = Rs. 900, Discount = Rs. 150. Find the SP . 11 [AS4] Answer the following questions in one sentence. A pair of shoes marked at Rs. 800. A shop gives 25% discount. Find the discount. 12 [AS4] Answer the following questions in one sentence. (i) What should be the basic price of a watch, whose price including 10% VAT is Rs. 800? (ii) What would be the sale price of a dress marked at Rs. 160 if a discount of 20% is given on it? (iii) What would be the buying price of a shirt at Rs.50, when 5% of ST (sales tax) is added on the purchase? 13(i) [AS2] Five times a number is a 400% increase in the number. If we take one fifth of the number what would be the decrease in percent? (ii) [AS2] By what percent is Rs. 3000 less than Rs. 3600? Is it the same as the percent by which Rs. 3600 is more than Rs. 3000? 14(i) [AS4] A packet of spices is marked 30% above the cost price. If the shopkeeper allows a discountof 20% on the marked price, what is his gain or loss percent? (ii) [AS4] The selling price of a toy car is Rs. 540. If the profit made by shopkeeper is 20%, what is the cost price of this toy? 15(i) [AS4] An article is sold for Rs. 748 at a loss of 6 1 %. Find its cost price. 2 (ii) [AS4] A dress with marked price Rs. 360 is sold at a discount of 10%. If the shopkeeper still makes a profit of 20%, what is the cost price of the dress? 16(i) [AS4] The price of a computer is Rs. 18, 000. ST(service tax) is charged on it at the rate of 12%. Find the amount which the customer pays. (ii) [AS4] Mr. Sharma purchased some electronic items for Rs. 972 including 8% VAT. Find their price before VAT was added. 17 [AS2] Show that two successive discounts of 20% and 10% is equal to a single discount of 28%. EXERCISE 5.2. FINDING DISCOUNTS 48
18 [AS4] The list price of a frock is Rs. 220. A discount of 20% is announced on sales. What is the amount of discount on its sale price? 19 [AS4] A washing machine with marked price Rs. 8500 is available at successive discounts of 10% and 5%. What is its selling price? EXERCISE 5.2. FINDING DISCOUNTS 49
EXERCISE 5.3 COMPOUND INTEREST 5.3.1 Key Concepts i. Simple interest is an increase on the principal. ii. Simple interest, I = PT R , where (P = Principal, T = Time, R = Rate of interest) 100 TR iii. Amount = Principal + Interest = P(1 + 100 ) . iv. Compound interest allows you to earn interest on interest. v. Amount at the end of ‘n’ years using compound interest = A = P 1 + R n. 100 vi. The time period after which interest is added to principal is called the conversion period. vii. When interest is compounded half yearly, then there are two conversion periods in a year, each after 6 months. In this case, half year rate will be half of the annual rate. 5.3.2 Additional Questions Objective Questions . 1. [AS1] The interest on Rs. 500 at 3% per annum for 3 years is (A) Rs. 503 (B) Rs. 1500 (C)Rs. 45 (D)Rs. 450 2. [AS2] The sum of money which when lent out at 9% per annum SI for 6 years gives Rs. 810 as interest is . (A) Rs. 1000 (B) Rs. 1500 (C)Rs. 1200 (D)None of these 3. [AS2] The annual installment that will discharge a debt of Rs. 4200 due in 5 years at 10% SI is . (A) Rs. 600 (B) Rs. 700 (C)Rs. 800 (D)Rs. 900 4. [AS2] The number of years in which a certain sum amounts to three times the principal at the rate of 16 2 % is . 3 (A) 12 years (B) 8 years (C)4 years (D)16 years EXERCISE 5.3. COMPOUND INTEREST 50
5. [AS2] The time in which Rs. 72 becomes Rs. 81 at 6 1 % p.a SI is . 4 (A) 112 years (B) 2 1 years 2 (C) 3 1 years (D)2 years 2 6. [AS1] The C.I on a certain sum for 2 years is Rs. 41 and S.I is Rs. 40. Then the rate per annum is . (A) 5% (B) 4% (D) 8% (C) 2 1 % 2 7. [AS1] The compound interest on Rs.1000 at 12% per annum for 1 1 years, compound annually 2 is . (A) Rs.187.20 (B) Rs.1720 (C) Rs.1910.16 (D) Rs.1782 8. [AS2] The rate percent per annum at which a sum of Rs. 7500 amounts to Rs. 8427 in 2 years, compounded annually is . (A) 4% (B) 5% (C) 6% (D) 8% 9. [AS3] The formula to find simple interest is . . (A) S.I = 100×P×R T (B) S.I = P×T ×R 100 (C) S .I = R×100 P×T (D)None of these 10. [AS3] The formula to find compound interest is n (A) C.I = P−P 1+ R 100 (B) C.I = P 1+ R n 100 (C)C.I = P+P 1+ R n 100 (D)C.I = P 1+ R n−P 100 EXERCISE 5.3. COMPOUND INTEREST 51
11. [AS4] Krishna deposits Rs. 30000 in a bank at 7% per annum. The compound interest for a certain time is Rs. 4347. The time for which Krishna deposited the money is . (A) 2 years (B) 2 1 years 2 (C)3 years (D)4 years 12. [AS4] Shilpa borrowed Rs. 2000 at 20% p.a. compounded half yearly. The amount of money she needs to discharge her debt after 1 1 years is . 2 (A) Rs. 2662 (B) Rs. 662 (C)Rs. 600 (D)Rs. 3662 Very Short Answer Type Questions 13 [AS1] Answer the following questions in one sentence. (i) Find the simple interest on Rs. 12000 at 8% p.a for 3 years. (ii) Find the compound interest when principal = Rs.1000, rate =10% per annum and time = 2 years. 14 [AS2] Answer the following questions in one sentence. (i) At what rate of simple interest on Rs. 4500 will become Rs. 5040 after 2 years? (ii) How many years will it take Rs. 8000 to earn a simple interest of Rs.1800 at 9% per annum? 15 [AS3] Answer the following questions in one sentence. (i) Let P be the principal and the rate of interest be R% per annum. If the interest is compounded annually, what is the formula to find the amount A? (ii) Write the formula to find rate ‘R’ if P is the principal, 'T' is the time period and S.I is the simple interest. (iii) Define conversion period. 16 [AS4] Answer the following questions in one sentence. (i) The present population of a town is 10000. The population of the town increases 5% annually. Find the population after 2 years. (ii) Madhu deposits Rs. 2000 in a bank at 10% per annum. Find the amount after 1 year if the interest is compounded annually. EXERCISE 5.3. COMPOUND INTEREST 52
Short Answer Type Questions 17(i) [AS1] The simple interest on a sum of money for a period of 3 years at 12% per annum is Rs. 6750. What will be the compound interest on the same sum at the same rate for the same period com- pounded annually? (ii) [AS1] Find the compound interest paid when a sum of Rs. 10, 000 is invested for 1 year and 3 months at 8 1 % per annum compounded annually. 2 18(i)[AS1] A sum taken for 1 1 years at 8% per annum is compounded half yearly. Find the number of 2 conversion times the interest is compounded and rate. (ii) [AS1] Find the compound interest on Rs. 15, 625 for 1 1 years at 8% per annum when compounded 2 half yearly. 19 [AS3] Define compound interest. Long Answer Type Questions 20 [AS1] A sum of money amounts to Rs. 2, 240 at 4% per annum simple interest in 3 years. Find the interest on the same sum for 6 months at 3 1 % per annum. 2 21 [AS1] Find the amount and the compound interest on Rs. 6,500 for 2 years, compounded annually, the rate of interest being 5% per annum during the first year and 6% per annum during the second year. 22 [AS1] Calculate compound interest on Rs. 1000 over a period of 1 year at 10% per annum, if interest is compounded quarterly. 23 [AS2] At what rate of compound interest will Rs. 20000 become Rs. 24200 after 2 years? EXERCISE 5.3. COMPOUND INTEREST 53
CHAPTER 6 SQUARE ROOTS AND CUBE ROOTS EXERCISE 6.1 PROPERTIES OF SQUARE NUMBERS 6.1.1 Key Concepts i. Square: The square of a number is the product of the number with the number itself. For a given number ‘x ’ the square of x is (x × x) , denoted by x2. e.g., 42 = 4 × 4 = 16 ii. Properties of perfect squares: a. A number ending in 2, 3, 7 or 8 is never a perfect square. b. A number ending in an odd number of zeroes is never a perfect square. c. The square of an even number is even. d. The square of an odd number is odd. e. The square of a proper fraction is always smaller than the fraction. e.g., (0.1)2 = 0.01 f. The sum of first ‘n’ odd natural numbers = n2. 6.1.2 Additional Questions Objective Questions 1. [AS3] The perfect square among the following is . (A) 425 (B) 1664 (C) 1200 (D) 1296 2. [AS3] The square of an odd number is . (A) Even (B) Odd (C) Prime (D) Composite 3. [AS2] The digit in the units place of the square of a number ending with 3 is . (A) 3 (B)6 (C) 9 (D) 2 EXERCISE 6.1. PROPERTIES OF SQUARE NUMBERS 54
4. [AS3] The square of the number 27 is . (A) 54 (B) 189 (C) 243 (D) 729 5. [AS2] The number whose square is 1225 is . (A) 35 (B) 625 (C) 125 (D) 25 Short Answer Type Questions 6(i) [AS2] a) The square of 33 is odd. Justify. b) The square of 806 is even. Justify. (ii) [AS2] Identify if the squares of the following numbers are odd or even: a) 342 b) 539 7(i) [AS3] a) Express 81 as the sum of 9 odd numbers. b) Express 100 as the sum of 10 odd numbers. (ii) [AS3] Write five numbers which are not perfect squares. Long Answer Type Questions 8 [AS2] (i) Find the perfect squares between 100 and 150. (ii) Check whether 243 is a perfect square or not. (iii) 225 is a perfect square. Justify. (iv) Show that 1225 is a perfect square. (v) Show that 450 is not a perfect square. 9 [AS2] (i) 1 = 12 1 + 3 = 22 1 + 3 + 5 = 32 What is the sum of the first 4 odd numbers? EXERCISE 6.1. PROPERTIES OF SQUARE NUMBERS 55
(ii) 12 = 1 Square of 11 = 121 Square of 111 = 12321 Square of 1111 = Complete the pattern. (iii) 1 + 2 + 1 = 22 1 + 2 + 3 + 2 + 1 = 32 = 42 1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1 = 52 Complete the pattern. (iv) 121 = 222 1 1 +2+ 12321 = 1 + 2 3332 2 + 1 +3+ = 1 + 2 + 44442 + 2 + 1 3+4+3 Complete the pattern. 10 [AS3] Express each of the following as the sum of two consecutive natural numbers. (i) 212 (ii) 132 (iii) 192 EXERCISE 6.1. PROPERTIES OF SQUARE NUMBERS 56
EXERCISE 6.2 PYTHAGOREAN TRIPLETS FINDING SQUARE ROOTS BY PRIME FACTORIZATION METHOD 6.2.1 Key Concepts i. If a2 + b2 = c2 then (a, b, c) is said to be a Pythagorean triplet. ii. If there are no common factors other than 1 among a, b, c then the triplet (a, b, c) is called primitive triplet. 6.2.2 Additional Questions Objective Questions 1. [AS3] A Pythagorean triplet among the following is . (A) (3, 4, 6) (B) (5, 12, 13) (C)(7, 14, 17) (D) None of these 2. [AS1] The square root of 51.84 is . (A) 7.8 (B) 6.8 (C) 7.2 (D) 8.2 3. [AS1] The square root of 3136 is . (A) 56 (B) 58 (C) 46 (D) 66 4. [AS1] The least number by which 1458 should be multiplied to get a perfect square is . (A) 4 (B) 3 (C) 1 (D) 2 5. [AS1] The least number by which 2645 should be divided to get a perfect square is . (A) 2 (B) 3 (C) 4 (D) 5 EXERCISE 6.2. PYTHAGOREAN TRIPLETS FINDING SQUARE ROOTS BY PR. . . 57
Very Short Answer Type Questions 6 [AS4] Answer the following questions in one sentence. A square coffee table has an area of 196 square metres. What is the length of one side of the coffee table? Short Answer Type Questions 7(i) [AS2] Check whether the triplet 6, 8, 10 is a Pythagorean triplet or not. (ii) [AS2] 9, 12, 15 is a Pythagorean triplet. Find whether its multiples also form a Pythagorean triplet. 8(i) [AS2] By repeated subtraction, find whether the number 55 is a perfect square or not. (ii) [AS2] By repeated subtraction, find whether the number 144 is a perfect square or not. Long Answer Type Questions 9 [AS1] (i) Find the square root of 7056 by prime factorization method. (ii) Find the factors of 9408 using prime factorization. By what number should it be divided tomake it a perfect square? (iii) Find the square root of 1764. 10 [AS1] Find the smallest number by which 35280 must be divided so that it becomes a perfect square. 11 [AS4] The area of a square field is 5184 m2 . A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field. EXERCISE 6.2. PYTHAGOREAN TRIPLETS FINDING SQUARE ROOTS BY PR. . . 58
EXERCISE 6.3 FINDING SQUARE ROOT BY DIVISION METHOD 6.3.1 Key Concepts i. For large numbers, prime factorisation method becomes lengthy and difficult so we use the division method. 6.3.2 Additional Questions Objective Questions 1. [AS1] The square root of 3481 is . (A) 59 (B) 61 (C) 51 (D) 69 2. [AS2] The square root of 350 lies between the numbers . (A) 15, 16 (B) 17, 18 (C)19, 20 (D) 18,19 √√ . 3. [AS1] If 9216 = 96 then 0.009216 = (B) 0.096 (D) 0.0096 (A) 0.96 (C) 9.6 EXERCISE 6.3. FINDING SQUARE ROOT BY DIVISION METHOD 59
4. [AS1] The square root of 368.64 is . (B) 0.19 (A) 1.92 (D) 19.8 (C) 19.2 (B) 18 √√ . (D)None of these 5. [AS1] 392 × 18 = (A) 84 (C) 54 6. [AS4] A square board has an area of 144 square units. The length of each side of the board is . (A) 11 units (B) 12 units (C)13 units (D)14 units 7. [AS4] The dimensions of rectangular field are 80 m and 18 m. The length of its diagonal is . (A) 28 cm (B) 32 m (C)82 m (D)82 cm 8. [AS4] 1024 plants are arranged so that number of plants in a row is the same as the number of rows. The number of plants in each row is . (A) 23 (B) 34 (C) 25 (D) 32 Very Short Answer Type Questions 9 [AS1] Answer the following questions in one sentence. The product of two numbers is 1296. If one number is 16 times the other, find the two numbers. 10 [AS2] Answer the following questions in one sentence. (i) Is 338 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square. EXERCISE 6.3. FINDING SQUARE ROOT BY DIVISION METHOD 60
(ii) Show that 450 is not a perfect square. (iii) 360 is not perfect square. Given reason. 11 [AS4] Answer the following questions in one sentence. (i) 5929 students sit in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? (ii) A square table in a class room has an area of 1296 square metres. What is the length of one of its sides? (iii) 1521 trees were planted in a garden in such a way that there are as many trees in each row as there are rows in the garden. Find the number of rows and number of trees in each row. Short Answer Type Questions 12 [AS1] Find the square root of the number 7744 by division method. 13 [AS4] In an auditorium, the number of rows is equal to the number of chairs in each row. If the capacity of the auditorium is 2025, find the number of chairs in each row. Long Answer Type Questions 14 [AS1] Estimate the value of the following numbers to the nearest whole number. √ (i) √97 (ii) 250 √ (iii) 780 EXERCISE 6.3. FINDING SQUARE ROOT BY DIVISION METHOD 61
EXERCISE 6.4 CUBIC NUMBERS 6.4.1 Key Concepts i. Cube is a solid figure with six identical squares. ii. So, we require 1, 8, 27, 64. . . unit cubes to make cubic shapes. iii. These numbers are called cubic numbers or perfect cubes. 6.4.2 Additional Questions Objective Questions 1. [AS3] The perfect cube among the following is . (A) 1225 (B) 2744 (C) 780 (D) 255 2. [AS3] The cube of a number ending with 4, ends with the digit . (A) 2 (B) 8 (C) 4 (D) 6 3. [AS1] The least number by which 675 should be multiplied so that the product is a perfect cube is . (A) 3 (B) 5 (C) 2 (D) 7 4. [AS2] The least number by which 704 must be divided to obtain a perfect cube is . (A) 2 (B) 4 (C) 11 (D) 6 5. [AS3] The perfect cube of the following is . (A) 80000 (B) 8000 (C) 800 (D) 80 EXERCISE 6.4. CUBIC NUMBERS 62
Very Short Answer Type Questions 6 [AS2] Answer the following questions in one sentence. (i) Show that 189 is not a perfect cube. (ii) Prove that if a number is doubled, then its cube is eight times the cube of the given number. 7 [AS3] Answer the following questions in one sentence. (i) Define a perfect cube. (ii) Write cubes of first three multiples of 3. (iii) Write the ones digit of cube of 8. (iv) Express 28 as the product of prime factors. Short Answer Type Questions 8(i) [AS1] a) What is the smallest number by which 1323 is to be multiplied so that the product is a perfect cube? b) By which number 32 is to be multiplied by to make it a perfect cube? (ii) [AS1] What is the smallest number by which 675 should be multiplied so that the product is a perfect cube? 9(i) [AS1] What is the smallest number by which 1375 should be divided so that the quotient may be a perfect cube? (ii) [AS1] What is the smallest number by which 2916 should be divided so that the quotient is a perfect cube? 10(i) [AS2] a) How many cubic numbers are there between 50 and 250? b) What are the perfect cube numbers between 3000 and 5000? (ii) [AS2] How many perfect cubes are there between 500 and 1000? EXERCISE 6.4. CUBIC NUMBERS 63
Long Answer Type Questions 11 [AS1] Find the digit in the units place of each of the following numbers: (i) 128 3 (ii) 212 3 (iii) 509 3 (iv) 647 3 (v) 783 3 12 [AS2] (i) Find whether 200 is a perfect cube or not. (ii) 1728 is a perfect cube. Justify. EXERCISE 6.4. CUBIC NUMBERS 64
EXERCISE 6.5 CUBE ROOTS 6.5.1 Key Concepts i. We require 8 unit cubes to form a cube of side 2 units. ii. Suppose a cube is formed with 64 unit cubes. Then the side of the cube is given by x , where x3 = 64. iii. Finding the number from its cube is called finding the cube root. It is the inverse operation of cubing. iv. The cube root of a number ‘x ’ is the number whose cube is x . It is denoted by √3x . √3 a v. For any two integers a and b, we have: 3√ √3 a × √3 b and 3 a = √3 b ab = b 6.5.2 Additional Questions Objective Questions . 1. [AS1] The cube root of 512 is (A) 2 (B) 4 (C) 6 (D) 8 2. [AS3] If the cube of a number ends with 8 then the number ends with . (A) 2 (B) 4 (C) 6 (D) 8 3. [AS3] If a number ends with 6 then its cube ends with . (A) 2 (B) 4 (C) 6 (D) 8 4. [AS3] The cube root of an even number is . (A) Odd (B) Prime (C) Co–prime (D) Even EXERCISE 6.5. CUBE ROOTS 65
5. [AS1] √3 13824 = (B) 24 (D)None of these (A) 14 (C) 34 Very Short Answer Type Questions 6 [AS1] Answer the following questions in one sentence. Find the cube root of the following numbers by prime factorization method: (i) 343 (ii) 2744 (iii) 1331 7 [AS4] Answer the following questions in one sentence. The volume of a cubical chalk piece box is 512 cubic metres. Find the length of its side. Short Answer Type Questions 8(i) [AS1] Estimate the cube root of: a) 21952 b) 2197 (ii) [AS1] Estimate the cube root of: a) 5832 b) 3375 Long Answer Type Questions 9 [AS2] (i) Which of the following is the cube of an odd natural number? (A) 2744 (B) 12167 (C) 4000 (D) 32768 (ii) A perfect cube may end with two zeros. (T/F) (iii) There is no perfect cube that ends with 8. (T/F) (iv) The cube of an even number is an even number. (T/F) (v) If a number ends with 5, what does its cube end with? EXERCISE 6.5. CUBE ROOTS 66
—— Project Based Questions —— (i) We can see many applications of the different properties like commutative, associative that are used in mathematics in our real life. For example : Commutative property : There were two friends Sita and Geeta. Sita had 1 of a pizza and 4 2 2 1 Geeta had 4 of the pizza. Now, if Sita took 4 more and Geeta took 4 more from the plate, then do both of them have an equal amount of pizza? This is an example where commutative property of addition for rational numbers can be applied. Create five questions related to real life scenarios where the application of different properties like associative property, distributive property can be shown. (ii) Solving a linear equation is similar to balancing a weighing scale. We add or keep removing objects till will get our desired result. We can also solve these using strips of coloured paper. Here is an example: Create a chart showing an example of solution for a linear equation using different coloured papers. Specify what each colour represents. PROJECT BASED QUESTIONS 67
(iii) You need to create a paper quilt made out of quadrilaterals. The quilt must use all of the different types of quadrilaterals that you have learnt to construct and you need to include measurements of sides and angles, that you have constructed. Here is an example of a paper quilt. (iv) The size of a planet is very big and the size of a cell is very small. Such large or small sizes are difficult to show without having a method such as scientific notation. Scientific notation is used extensively in the field of science. Research in the internet and give example of numbers which are used in the scientific field and the need to be expressed using scientific notation. Also write your numbers in standard and scientific form. Here is an example: This table shows the distance of each planet from the earth: PROJECT BASED QUESTIONS 68
Planet Standard Form (km) Scientific Notation (km) Earth 150000000 1.5 × 108 Jupiter 778000000 7.78 × 108 Mars 228000000 2.28 × 108 Mercury 58000000 5.8 × 10 Neptune 4498000000 4.498 × 109 Saturn 1427000000 1.427 × 109 Uranus 2871000000 2.871 × 109 Venus 108000000 1.08 × 108 (v) During the festival season, we observe that many sellers give us a lot of discounts. Collect information from newspapers about discounts on different products. Prepare a report showing, which is the bestseller according to the amount of discount given. Show your calculation as to how you decided who the best seller is. (vi) Using square numbers there are very interesting patterns that can be observed. For example, A B 12 = 1 1 + 3 = 4 = 22 112 = 121 1 + 3 + 5 = 9 = 32 1112 = 12321 1 + 3 + 5 + 7 = 16 = 42 Collect some number patterns which use square numbers and cube numbers. (vii) The golden ratio is a number that can be used to compare different parts of our body, from the length of the arms and legs compared to the toes. Make a table containing the following ratios: 1. Height: length between naval point and foot PROJECT BASED QUESTIONS 69
2. Length of the shoulder line: length of the head 3. Length between finger tip and elbow: length between wrist and elbow 4. Length between naval point and knee: length between knee and foot Take these measurements for a few of your friends and discover the ratio you obtain in each case. (viii) Make a list of 15 items like petrol, milk, pulses, onions etc. Find out the price of these items by asking your parents or by using internet. Find out the price of the same items 20 years ago. For each item calculate the increase or decrease percentage. Present your findings in a tabular format. PROJECT BASED QUESTIONS 70
Additional AS Based Practice Questions Q1 [AS2] Which of the following can never be the measure of an exterior angle of a regular polygon? A) 22º B) 36º C) 45º D) 30º Q2 [AS2] Which of the following can be the four interior angles of a quadrilateral? A) 140º, 40º, 20º, 160º B) 270º, 150º, 30º, 20º C) 40º, 70º, 90º, 60º D) 110º, 40º, 30º, 180º Q3 [AS1] A quadrilateral has three acute angles. If each measures 80º, then the measure of the fourth angle is ___. A) 150º B) 120º C) 105º D) 140º Q4 [AS1] The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is: A) 72º B) 144º C) 36º D) 18º Q5 [AS4] To construct a unique rectangle, the minimum number of measurements needed is: A) 4 B) 3 C) 2 D) 1 Q6 [AS4] A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is ________________________. Q7 [AS5] The paper clip given has the indicated length. What is its length in standard form? Q8 [AS5] In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long stick is put into the shrinking machine, how long will it be when it emerges? ADDITIONAL AS BASED PRACTICE QUESTIONS 71
Q9 [AS5] The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand. 1. X (100 g) Cost Cost + Tax 2. Y (100 g) (in Rs) (in Rs) 70 75 62 65 Q10 [AS5] How much more percent of seats were won by X as compared to Y in Assembly Election in the state based on the data given? Party Seats Won X (Out of 294) Y Z 158 W 105 18 13 Q11 [AS5] Which letter best represents the location of √25 on a number line? A) A B) B C) C D) D Q12 [AS5] Which letter best represents the location of ¥8 on a number line? (A) A (B) B (C) C (D) D ADDITIONAL AS BASED PRACTICE QUESTIONS 72
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