Partial preview of the text
Download Maths Exams Questions and more Exams Mathematics in PDF only on Docsity!
5) Section D has 4 questions carrying 05 marks each. 6) Section E has 3 case based integrated units of assessment (04 marks each) with sub parts of the values of 1, 1 and 2 marks each respectively. | 7) All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of 2 marks has been provided. An internal choice has been provided in the 2marks questions of Section E 8) Draw neat figures wherever required. Take 1 =22/7 wherever required if not stated. Section - A 1 (Section — A Consists of 20 questions of 1 mark each) | 1. The adjacent side of a rectangular field are 8m and 6m then its diagonal is (a) 9m (b) 11m (c) 12m (d) 10m, 2. The value of (1296)!1/4 + (4)5/2 ae () (93 (d) 16 ee Ae es ‘ 3.16 J. + = then x is equal to (a)1 (b) 12 (1 (ay | 4. The cost price of 21 articles is equal to selling price of 18 articles find the gain or loss | percent (a) 25/2 % Loss (b) 25/2% gain (c) 50/3 gain (d) 50/3 % loss | 5. If the selling: price of an article is twice the cost price, the profit percent is | (a) 50% (b) 100% (c) 150% (d) 200% 6. If the interest is compounded half years then time = | (a) t/2 half years (b) 2thalf years (c) (t+2) half years —_(d) (t-2) half years 7. The angles of a triangle are in the ratio 2:4:3 , the smallest angle of the triangle (a) 609 (b) 409 (c) 80° (d) 208 j fi ee waist ot ‘/348 — V119 + Voie (a) 5 (b)6 ()4 (d)7 | | | 9. Asum of 710,000 at 8% per annum for six month compounded quarterly amounts to | | (a)Rs400 (b) Rs 404 () Rs 408 (d) Rs 10,404 i 10. If the perimeter of an equilateral triangle is 60cm, then what is its area? | | (a) 200V2cm2 (b) 100VZcm? (c) 100V3cm? (a) 200V3cm?2 11. If a point lies on the y-axis, its coordinates are (a) (x, 0) (b) (0, 0) () («y) (d) (0, y) | PagelofS | Bo ee 12. If the length of side of a cube is doubled then the ratio of volumes of new cub: original cube is- we { Fs ) 21 (c) 41 (S21 i {a) 12 (b) ? h | 43. sum of two numbers is 84. One of the number is 20 more than the other. The s j Nips number is. il ms (a) 12 () 2 (9 32 (d) 42 14. Value of x in Vx — 1 = 4 should be | (a) 23 (17 (19 (d) 20 15. What is probability of getting an even no, if a die is thrown one time is | @: (b)5 © (d)1 16. How many sides does a regular polygon have if each of its interior angles is 165°? (a) 12 (b) 24 (9 (dj — 17. In the figure shown, if below OP || RS, ZOPQ = 110° and ZQRS = 130°, then £PQE is 1 i | - = | a (a) 40° (b) 50° (c) 60° (d) 70° | 18. The range of the data 12, 15, 25, 18, 17, 20, 22, 6, 16, 11, 8, 19, 10, 30, 20, 32, 32 is: {a) 10 (b) 15 (c) 18 (d) 26 DIRECTION: In the question 19 and 20, a statement of assertion (A) followed by a statement of reason (R). Choose the correct statement. a) Both assertion (A) and reason (R) are true and reason(R) is the correct explanation of a (A). b) Both assertion (A) and reason (R) are true and reason(R) is not the correct explanation of assertion (A). <) Assertion (A) is true but reasons(R) is false. } 2 d) Assertion (A) is false but reasons(R) is true. 2 es 19. Statement (A) Assertion: The equation 2x + 3 = 7 is a linear equation in one variable I ene Statement (R) Reason : A linear equation in one variable can be written in the fort | a es +b=0, where a and b are constant and a ¥ 0. st Ee 20. Statement (A) Assertion : The square of an odd number is always odd. | es Statement (R)Reason : The product of two odd numbers is always even. cae | aa Section - B oe (Section - B Consists of 5 questions of 2 marks each) | | «21. If V0.216 + x=V0.512, then find the value of x. | " Find the value of +/216 x (—125) af \ \ fs 22. A fan is sold for 7650. The gain is one-fourth of the cost price. Find the cost price "| 23. Ifa2+b? = 9 and ab = 4, find the value of 3(a+b)2- 2(a-b)? i ee Or a4 Simplify:- x(2x — 1) +5 and find its value atx = —2 yg | "4 | eo \ \ : oa so \ GR. KIN g a aera rand height of each pillar ate is 22 per sq. ™. s 20cm, find the o be painted. The diamete He epee cost of the painting if the rat p le are in the ratio 3:4. If its diagonal 1 ter of the rectangle. Ina building, 15 cylindrical pillars are t is 48 cm and 7 m respectively. Find the 35. A pair of adjacent sides of a rectang length of the sides and hence the perime Section -E (This section consists 3 CASE BASED questions ©} CASE STUDY -1 36. It is common that government revises fare fr i such as taxes, economy and inflation, for various vehicles like auto rickshaw, tax and radio cab etc. The auto and taxi charges ina city comprises of fixed charge Co | erste distance covered. Few situations are given below in the form of question. m — basis of this information given in the passage answer the following question. a) I the fixed charge ina city is ¥ x and the charge per kilometre is *5 and the total fare | : nd 260. Find a linear equation for the journey of 10km. F ad above question what is the value of fixed charge in j i i a - city, a person has to pay 2110 for a journey of 15 kilometres and fixed charge is en. what is the charge per kilometre? According to given question: 2x + 17 = a i i a ea i 12x = 85, if 317 is the fixed charge and the total 2 is or a journey of 2 km then what is the charge per km f 4 marks each) om time to time based on various factors CASE STUDY - 2 . A cricket match was organised by hea: je society, in Ww! children of age group eer 37 i ‘gi d by head of the society, hich children of ag: oup betwee! 60 50 40 30 20 io oO Runs scored —» ‘ + eas Pots. a " Players —. bserve the graph carefully and answer the following questions. a) Player, who scored maximum runs, is a the difference between the runs scored by 24 i layers P Ym the ratio of runs scored by players P and 4 eke OR 7 Fin id the average of runs Scored by five players shown in graph. CASE STUDY - 3 38 Rahul went to the market an dimension of a closed box ar around. id purchases a beautiful box for jewellery. The external On the basis of this information given in the passage answer the following question a) Find the capacity of the box b) Find external volume of box ¢) Find the volume of the wood used in making the box i Or How much sheet of paper he needs to cover the box completely. TA SSS SISSIES EOE e 80cm by 56 cm by 40 cm. The wood is 2.5 cm thick all | 
