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Summative Assessment – II (2014-2015) Class VII Subject – Mathematics 𝟏 Time: 2 hours Maximum Marks: 60 𝟐 Instructions: (i) All questions are compulsory. (ii) Question paper consists of four sections i.e. A, B, C and D having total number of questions 26. Section A Question numbers 1 to 8 are multiple choice question of 1 marks each. Select the correct choice. 1. The product of a rational number with its reciprocal is always (a) -1 (b) 1 (c) 2 (d) 0 2. ∆ABC and ∆PQR are congruent if they have same shape and same (a) area (b) perimeter (c) size (d) angles (c) 5 (d) 4 (c) 200 (d) 400 (c) 3% (d) 4% 3. The number of congruence criteria is (a) 2 (b) 3 4. The value of 20% of 200 is (a) 40 5. 𝟑 𝟒 (b) 20 when expressed as a percent is (a) 7.5% (b) 75% 6. Simplest form of the ratio between rupees 2 and 150 paise is (a) 2:150 7. Standard form of (a) −𝟏 𝟓 (b) 4:3 −𝟑 −𝟏𝟓 (c) 1:75 (d) None of these is (b) 𝟑 𝟏𝟓 (c) 1 𝟏 𝟓 (d) None of these 8. In a circle the ratio between circumference and diameter is approximately (a) 22:1 (b) 7:22 (c) 22:7 (d) None of these Section B Question numbers 9 to 14 carry 2 marks each. 9. List of two rational numbers between -2 and -1 10.Find the sum: 𝟓 𝟑 + 𝟑 𝟓 11.What cross sections do you get when you give a (i) vertical cut (ii) horizontal cut to a circular pipe? 12. Meeta saves Rs. 400 from her salary. If this is 10% of her salary. What is her salary? 13.Find the area of a square park whose perimeter is 320m. 14.Draw a triangle which has exactly one line of symmetry. Section C Question numbers 15 to 22 carry 3 marks each. 15. Explain, why ∆ABC =∆FED? D F A B C F E F F F 16.A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they lose? 17.Simplify combining like terms: (3𝒚𝟐 +5 𝒚 -4) - (8𝒚𝟐 - 𝒚 -4) 18.Simplify the expression and find its value when a=5 and b=-3. 2 2(𝒂𝟐 + 𝒂𝒃) + 3 - 𝒂𝒃 3 19.Draw a net which can be used to make a cube. Insert suitable numbers in the blanks, such that the numbers on the opposite D F faces should total to 7. 20. In figure AD=CD and AB= CB (i) State three pairs of equal parts in ∆ ABD and ∆CBD (ii) Is ∆ABD =∆CBD ? Why ? (iii) Does BD bisect ABC ? Give reasons A F C F B F 21.A path 5m wide runs inside around a square park of side 100 m. Find theFarea of F the path. 22.How many lines of symmetry does an equilateral triangle have? Draw a figure which has exactly four lines of symmetry. Section D Question numbers 23 to 26 carry 4 marks each. 23. Find the interest on a sum of Rs. 1200 at 12% p.a. at the end of 3 years. also find the amount. 24.From the sum of 3x-y+11 and –y-11, subtract 3x-y-11. 25. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations. (a) Subtraction of Z from Y (b) One – half the sum of numbers X and Y (c) The number Z multiplied by itself. (d) One fourth of the product of numbers p and q. 26.From a circular sheet of radius 4cm, a circle of radius 3cm is removed. Find the area of the remaining sheet (Take Π (pie) = 3.14) 4 Marking Scheme SA-II: Class VII: Mathematics 1. (b) 1 2. (c) 1 3. (d) 1 4. (a) 1 5. (b) 1 6. (b) 1 7. (c) 1 8. (c) 1 9. 10. −𝟏𝟗 −𝟏𝟖 , 𝟏𝟎 1+1 𝟏𝟎 𝟐𝟓+𝟏𝟗 1 𝟏𝟓 = 𝟑𝟒 1 𝟏𝟓 11. (i) Circle 1 (ii) Rectangle 1 12.10 % of salary = Rs. 400 1 Salary = Rs 4000 1 13. Side = 80m 1 Area = 6400 m2 1 14. Correct Figure 2 15. 2 A = F, B = E, BC=ED ∆ABC =∆FED (by AAS) 16.Matches won = 𝟐𝟓 𝟏𝟎𝟎 1 𝒙 𝟐𝟎 1 =5 1 Matches Lost = 15. 1 17.𝟑𝒚𝟐 + 𝟓𝒚 − 𝟒 − 𝟖𝒚𝟐 + 𝒚 + 𝟒 1 =−𝟓𝒚𝟐 + 𝟔𝒚 2 5 18.𝟐𝒂𝟐 + 𝒂𝒃 + 𝟑 𝟏 Value = 38 𝟏 19.Correct net of cube 𝟏 𝟐 𝟏 𝟐 2 Correct inserting the numbers 1 20. For correct answers of three parts 1+1+1 21. Correct Area of Bigger Square 1 Correct Area of Smaller square 1 Correct area of path 1 22.Three 1 Correct figure 23.I= 2 𝒑𝐱𝒓𝐱𝒕 1 𝟏𝟎𝟎 = Rs. 432 2 A= Rs. 1632 1 24.Sum = 3x-2y 2 Subtraction = -y+11 2 25. For Correct answers of four parts 1+1+1+1 a. Y – z b. 𝒙+𝒚 𝟐 c. Z2 d. 𝒑𝒒 𝟒 𝟏 26.Sheet 𝒂𝒓𝒆𝒂 = 𝝅𝒓𝟐 𝟐 = 50.24 Sq.Cm 1 𝟏 Removed Circle 𝒂𝒓𝒆𝒂 = 𝝅𝒓𝟐 𝟐 = 28.26 Sq.Cm 1 Remaining Sheet = 21.98 Sq.Cm 1 6 7