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CCT Weekly Practice (Mathematics)Participating for social causesAn NGO decides to involve students of class X to initiate a drive to make people aware ofroad etiquettes.As a part of the drive, a banner is created.The shape of the banner that says “do not honk” is as shown in the figure.Question 1:The formula to calculate the perimeter of the banner is(a) 2 (l + b)(b) 2πrh + 2πr2(c) πr + (2l + b)(d) 2 (l + b) + πr2Question 2:The total surface area of the banner is(a) 55860 cm2(b) 70952 cm2(c) 55880 cm2(d) 70558 cm2Question 3:If the total cost of the cardboard used per banner is Rs. 83.79. Then the rate per m2 is:(a) Rs 25(b) Rs 15(c) Rs 35(d) Rs 45Question 4:Let us assume that the chalan for not wearing a seat belt is Rs 1000 first time and it increases byRs. 50 each time after that in a month. If a driver is caught 10 times in a month for not wearinga seat belt. Calculate the total fine paid by him.(a) Rs 22500(b) Rs 12500(c) Rs 35000(d) Rs 12250Question 5:Three slogans were finalized and the number of banners made for each slogan is in A.P. If thetotal number of banners made is 90 and their product is 5130, then find the no. of banners foreach type of slogan.(a) 7, 50, 33(b) 3, 30, 57(c) 5, 53, 32(d) 7, 50, 30Created by:Ms. Abha Dua, Lotus Valley International school, Sec 126 Expressway, Noida. |
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Answer» Question 1: The FORMULA to calculate the perimeter of the banner is :- (a) 2 (l + b) (b) 2πrh + 2πr2 (c) πr + (2l + b) (d) 2 (l + b) + πr2 Answer :- → perimeter of semi - circle + perimeter of 3 sides of rectangle → (2πr/2) + (2l + b) → πr + (2l + b) (c) (Ans.) Question 2) :- The total surface area of the banner is (a) 55860 cm2 (b) 70952 cm2 (c) 55880 cm2 (d) 70558 cm2 Answer :- → TSA = Rectangle area + (1/2)πr² → TSA = (208 * 96) + (1/2) * (22/7) * (98)² → TSA = 40768 + 22 * 49 * 14 → TSA = 40768 + 15092 → TSA = 55860 cm² (a) (Ans.) Question 3: If the total cost of the cardboard used per banner is Rs. 83.79. Then the rate per m² is: (a) Rs 25 (b) Rs 15 (c) Rs 35 (d) Rs 45 Answer :- → Rate = Total cost / Total area → Rate = (83.79)/(55860/100000) → Rate = 83.79/5.586 = 15m² (B) (Ans.) Question 4: Let us assume that the chalan for not wearing a seat belt is Rs 1000 first time and it increases by Rs. 50 each time after that in a month. If a driver is caught 10 times in a month for not wearing a seat belt. Calculate the total fine paid by him. (a) Rs 22500 (b) Rs 12500 (c) Rs 35000 (d) Rs 12250 Answer :- → Chalan for 1ST time is = Rs.1000 = a → Increased by = Rs.50 = d . → Driver caught = 10 time = n so, → Total fine = (10/2)[2*1000 + (10-1)50] = 5(2000 + 450) = (2450 * 5) = Rs.12250 (B) (Ans.) Question 5) :- Three slogans were finalized and the number of banners made for each slogan is in A.P. If the total number of banners made is 90 and their product is 5130, then find the no. of banners for each type of slogan. (a) 7, 50, 33 (b) 3, 30, 57 (c) 5, 53, 32 (d) 7, 50, 30 Answer :- Let three banners are (a - d), a and (a + d) . so, → (a - d) + a + (a + d) = 90 → 3a = 90 → a = 30 . then, → (30 - d) * 30 * (30 + d) = 5130 → (30² - d²) = 5130/30 → 900 - d² = 171 → d² = 900 - 171 → d² = 729 → d = ±27 taking d = 27, a - d = 30 - 27 = 3 a = 30 a + d = 30 + 27 = 57 . therefore, option (b) is correct . Learn more :- ! Read the Source/Text given below and answer four questions: Veena planned to make a jewellery box to gift her friend ... 4. An architect is a skilled professional who PLANS and designs BUILDINGS and generally plays a key role in their constr... |
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