Page 1 NOTE :Attempt all the questions. ? Section-A consists of 8 parts carrying 1 mark each ? Section-B– Q2 to Q11 carry 2 marks each ? Section-C– Q12 to Q20 carry 3 marks each ? Section-D– Q21 to Q25 carry 5 marks each ========================================================================== SECTION A [1 × 8 = 8] Q.1. Do as directed:- (a) 10 1 can also be written as 0.01 in decimal notation. State True or False. (b) Which is greater 9.058 or 9.12? (c) If the price of a notebook is Rs 35, then what will be the price of „z? notebooks? (d) Correct the statement: “In a proportion, the second and third terms are called extremes”. (e) The lowest term of the ratio 350:750 is ____________. (f) The total distance around the length of the boundary of a closed figure is called ___ (g) The symbols which stand for unknown numbers and can take any numerical value are called _________. (h) An equilateral triangle has __________ lines of symmetry. SECTION B [11 × 2 = 22] Q.2. (i) Identify the decimal number indicated by point B. (ii) Convert the decimal number indicated by point D in fraction. Q.3. Arrange in ascending order 1.12, 1.5, 1.01, 1.001 and 1.00 Page 2 NOTE :Attempt all the questions. ? Section-A consists of 8 parts carrying 1 mark each ? Section-B– Q2 to Q11 carry 2 marks each ? Section-C– Q12 to Q20 carry 3 marks each ? Section-D– Q21 to Q25 carry 5 marks each ========================================================================== SECTION A [1 × 8 = 8] Q.1. Do as directed:- (a) 10 1 can also be written as 0.01 in decimal notation. State True or False. (b) Which is greater 9.058 or 9.12? (c) If the price of a notebook is Rs 35, then what will be the price of „z? notebooks? (d) Correct the statement: “In a proportion, the second and third terms are called extremes”. (e) The lowest term of the ratio 350:750 is ____________. (f) The total distance around the length of the boundary of a closed figure is called ___ (g) The symbols which stand for unknown numbers and can take any numerical value are called _________. (h) An equilateral triangle has __________ lines of symmetry. SECTION B [11 × 2 = 22] Q.2. (i) Identify the decimal number indicated by point B. (ii) Convert the decimal number indicated by point D in fraction. Q.3. Arrange in ascending order 1.12, 1.5, 1.01, 1.001 and 1.00 Q.4. Convert: (i) 80 rupees 4 paise in rupees (ii) 65 kg 37 g in kg Q.5. Find the length of the side of a square, if its perimeter is 1604 cm. Q.6. Find the area of the rectangle in sq m whose length and breadth are 45 m and 2500 cm respectively. Q.7. (i) Write the algebraic expression for “Five times the product of x and y divided by z”. (ii) Is 3>10 y + 7 is an equation with a variable? Q.8. Marbles are to be transferred from a larger box to the two smaller boxes, when a larger box is emptied, the marbles from it fill these smaller boxes and still 7 marbles remain outside. If the number of marbles in a smaller box is taken to be „m?, what was the total number of marbles in the larger box? Q.9. The length and breadth of a rectangle are denoted by „a? and „b? respectively. What will be the formula for its perimeter, if it is denoted by „p?? Q.10. Divide Rs 7500 between Anu and Manu in the ratio 2 : 3. Q.11. Determine whether the given ratios are in proportion or not. Rs 4500 : Rs 5400 and 60 km : 72 km SECTION C [3 × 10 = 30] Q.12. Out of 450 apples in a basket, 20 are found rotten. Find? (i) Ratio of rotten apples to total apples. (ii) Ratio of good apples to rotten apples. (iii) Ratio of good apples to total apples. Q.13. Sarthak?s father?s age is 4 times that of Sarthak?s, while his mother?s age is 3 times that of his sister?s age, who is 5 years younger to Sarthak. If Sarthak?s age is „y? years, then find the age of each family member. Q.14. A carpenter wants to border a dining table measuring 4 m by 3 m with an aluminium strip. If the cost of bordering is Rs 40 per metre, find the total cost of bordering. Page 3 NOTE :Attempt all the questions. ? Section-A consists of 8 parts carrying 1 mark each ? Section-B– Q2 to Q11 carry 2 marks each ? Section-C– Q12 to Q20 carry 3 marks each ? Section-D– Q21 to Q25 carry 5 marks each ========================================================================== SECTION A [1 × 8 = 8] Q.1. Do as directed:- (a) 10 1 can also be written as 0.01 in decimal notation. State True or False. (b) Which is greater 9.058 or 9.12? (c) If the price of a notebook is Rs 35, then what will be the price of „z? notebooks? (d) Correct the statement: “In a proportion, the second and third terms are called extremes”. (e) The lowest term of the ratio 350:750 is ____________. (f) The total distance around the length of the boundary of a closed figure is called ___ (g) The symbols which stand for unknown numbers and can take any numerical value are called _________. (h) An equilateral triangle has __________ lines of symmetry. SECTION B [11 × 2 = 22] Q.2. (i) Identify the decimal number indicated by point B. (ii) Convert the decimal number indicated by point D in fraction. Q.3. Arrange in ascending order 1.12, 1.5, 1.01, 1.001 and 1.00 Q.4. Convert: (i) 80 rupees 4 paise in rupees (ii) 65 kg 37 g in kg Q.5. Find the length of the side of a square, if its perimeter is 1604 cm. Q.6. Find the area of the rectangle in sq m whose length and breadth are 45 m and 2500 cm respectively. Q.7. (i) Write the algebraic expression for “Five times the product of x and y divided by z”. (ii) Is 3>10 y + 7 is an equation with a variable? Q.8. Marbles are to be transferred from a larger box to the two smaller boxes, when a larger box is emptied, the marbles from it fill these smaller boxes and still 7 marbles remain outside. If the number of marbles in a smaller box is taken to be „m?, what was the total number of marbles in the larger box? Q.9. The length and breadth of a rectangle are denoted by „a? and „b? respectively. What will be the formula for its perimeter, if it is denoted by „p?? Q.10. Divide Rs 7500 between Anu and Manu in the ratio 2 : 3. Q.11. Determine whether the given ratios are in proportion or not. Rs 4500 : Rs 5400 and 60 km : 72 km SECTION C [3 × 10 = 30] Q.12. Out of 450 apples in a basket, 20 are found rotten. Find? (i) Ratio of rotten apples to total apples. (ii) Ratio of good apples to rotten apples. (iii) Ratio of good apples to total apples. Q.13. Sarthak?s father?s age is 4 times that of Sarthak?s, while his mother?s age is 3 times that of his sister?s age, who is 5 years younger to Sarthak. If Sarthak?s age is „y? years, then find the age of each family member. Q.14. A carpenter wants to border a dining table measuring 4 m by 3 m with an aluminium strip. If the cost of bordering is Rs 40 per metre, find the total cost of bordering. Q.15. A string is 240 cm long. What will be the length of each side if the string is used to form? (i) An equilateral triangle (ii) A regular pentagon Q.16. Draw two circles of radius 3 cm and 4.5 cm respectively with the same centre „O?. Mark a point „Q? which is in the exterior of the smaller circle and in the interior of the larger circle. Q.17. Draw QR of length 4.5 cm and ST of length 6 cm. Construct a line segment of the length 2ST – QR. Q.18. Draw any line segment XY. Take any point „Z? not on it. Through „Z? draw a perpendicular to XY with the help of ruler and compasses. Q.19. A milkman had 78.5 litres of milk in his drums. He sold 38.25 litres in one colony and 32.75 litres in another colony. How much milk is left unsold? Q.20. (i) Express 14.085 in expanded form. (ii) Write twenty one and seventy five thousandths as a decimal number. SECTION D [4 × 5 = 20] Q.21. (i) Construct with ruler and compasses an angle of 30 °. (ii) Draw an angle of 85° with the help of protractor and construct a copy of it, using ruler and compasses. Q.22. (i) Pick out the solution from the given values in the bracket and show that the other value does not satisfy the equation. 2 – 4x= – 26 (– 7, 7) (ii)What is the rule that gives the number of matchsticks required in terms of number of alphabet „ Z?. (iii)Form an expression using p, 3 and 8 such that expression has p in it. Use only two mathematical operations. Q.23. The cost of 16 chairs is Rs 3600. (i) What will be the cost of 100 chairs? (ii) Find the number of chairs that can be purchased in Rs 4275. Page 4 NOTE :Attempt all the questions. ? Section-A consists of 8 parts carrying 1 mark each ? Section-B– Q2 to Q11 carry 2 marks each ? Section-C– Q12 to Q20 carry 3 marks each ? Section-D– Q21 to Q25 carry 5 marks each ========================================================================== SECTION A [1 × 8 = 8] Q.1. Do as directed:- (a) 10 1 can also be written as 0.01 in decimal notation. State True or False. (b) Which is greater 9.058 or 9.12? (c) If the price of a notebook is Rs 35, then what will be the price of „z? notebooks? (d) Correct the statement: “In a proportion, the second and third terms are called extremes”. (e) The lowest term of the ratio 350:750 is ____________. (f) The total distance around the length of the boundary of a closed figure is called ___ (g) The symbols which stand for unknown numbers and can take any numerical value are called _________. (h) An equilateral triangle has __________ lines of symmetry. SECTION B [11 × 2 = 22] Q.2. (i) Identify the decimal number indicated by point B. (ii) Convert the decimal number indicated by point D in fraction. Q.3. Arrange in ascending order 1.12, 1.5, 1.01, 1.001 and 1.00 Q.4. Convert: (i) 80 rupees 4 paise in rupees (ii) 65 kg 37 g in kg Q.5. Find the length of the side of a square, if its perimeter is 1604 cm. Q.6. Find the area of the rectangle in sq m whose length and breadth are 45 m and 2500 cm respectively. Q.7. (i) Write the algebraic expression for “Five times the product of x and y divided by z”. (ii) Is 3>10 y + 7 is an equation with a variable? Q.8. Marbles are to be transferred from a larger box to the two smaller boxes, when a larger box is emptied, the marbles from it fill these smaller boxes and still 7 marbles remain outside. If the number of marbles in a smaller box is taken to be „m?, what was the total number of marbles in the larger box? Q.9. The length and breadth of a rectangle are denoted by „a? and „b? respectively. What will be the formula for its perimeter, if it is denoted by „p?? Q.10. Divide Rs 7500 between Anu and Manu in the ratio 2 : 3. Q.11. Determine whether the given ratios are in proportion or not. Rs 4500 : Rs 5400 and 60 km : 72 km SECTION C [3 × 10 = 30] Q.12. Out of 450 apples in a basket, 20 are found rotten. Find? (i) Ratio of rotten apples to total apples. (ii) Ratio of good apples to rotten apples. (iii) Ratio of good apples to total apples. Q.13. Sarthak?s father?s age is 4 times that of Sarthak?s, while his mother?s age is 3 times that of his sister?s age, who is 5 years younger to Sarthak. If Sarthak?s age is „y? years, then find the age of each family member. Q.14. A carpenter wants to border a dining table measuring 4 m by 3 m with an aluminium strip. If the cost of bordering is Rs 40 per metre, find the total cost of bordering. Q.15. A string is 240 cm long. What will be the length of each side if the string is used to form? (i) An equilateral triangle (ii) A regular pentagon Q.16. Draw two circles of radius 3 cm and 4.5 cm respectively with the same centre „O?. Mark a point „Q? which is in the exterior of the smaller circle and in the interior of the larger circle. Q.17. Draw QR of length 4.5 cm and ST of length 6 cm. Construct a line segment of the length 2ST – QR. Q.18. Draw any line segment XY. Take any point „Z? not on it. Through „Z? draw a perpendicular to XY with the help of ruler and compasses. Q.19. A milkman had 78.5 litres of milk in his drums. He sold 38.25 litres in one colony and 32.75 litres in another colony. How much milk is left unsold? Q.20. (i) Express 14.085 in expanded form. (ii) Write twenty one and seventy five thousandths as a decimal number. SECTION D [4 × 5 = 20] Q.21. (i) Construct with ruler and compasses an angle of 30 °. (ii) Draw an angle of 85° with the help of protractor and construct a copy of it, using ruler and compasses. Q.22. (i) Pick out the solution from the given values in the bracket and show that the other value does not satisfy the equation. 2 – 4x= – 26 (– 7, 7) (ii)What is the rule that gives the number of matchsticks required in terms of number of alphabet „ Z?. (iii)Form an expression using p, 3 and 8 such that expression has p in it. Use only two mathematical operations. Q.23. The cost of 16 chairs is Rs 3600. (i) What will be the cost of 100 chairs? (ii) Find the number of chairs that can be purchased in Rs 4275. Q.24. Find the area and the perimeter of the given figure. Q.25. (i) Name the geometrical figure with infinite lines of symmetry (ii)Name 2 letters in the English Alphabet with only horizontal line of symmetry. (iii)Draw a regular hexagon and draw its all lines of symmetry. (iv) Draw a figure with no line of symmetry. ============================================= 8cm 3 cm 2 cm 4 cm 3 cm 2 cm 4 cmRead More

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