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201.

umpt the following:/2 marks eac48°63074 xOPORS is a parallelogram. From the informatgiven in the figure, find the values of x and y.ns.

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202.

5. The angles of a quadrilateral are in the ratio 3:5:7:9. Find themeasure of each of these angles.

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203.

Q1) For a certain material E210 GPa,μ = 0.3. Find G & K. (M01, 4 marks)-80 769 GPa

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Given E = 210GPA And poisson ratio is μ = 0.3

so , G = E/2(1+μ) = 210/2(1+0.3) = 210/2.6 = 80.76GPa.

now, K = E/3(1-2μ) = 210/3(1-2*0.3) = 70/(1-0.6) = 70/0.4 = 175GPa

204.

mbers23 to 30 carry 4 marks eac6fy

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205.

Question number IS to 22 carrymarks eac13 If tan 2A cot (A- 18), where 2A is an acute angle, find the value of A.

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Cot ( 90 - x ) = tan x

According to the problem given,

Tan 2A = cot ( A - 18 )

Cot ( 90 - 2A ) = cot ( A - 18 )

Remove the cot both sides

we get ,

90 - 2A = A - 18

-2A - A = - 18 - 90

- 3A = - 108

A = ( - 108 ) / ( - 3 )

A = 36°

206.

dozen bananas cost 29. How many dozens can be purchased for £ 1392

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207.

Q1: Find the value of x + y - 28 if x = 3, y =-2Marks :1

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x + y - 28= 3+(-2) -28=3 - 2 - 28= 1- 28= (- 27)

208.

Note: Q 1-2 are VSA carrying 1 Mark each.Q 6-8 are SA type carrying 3 Marks each.Q1 Find the zeros of polynomial x2 + 2x +1.Sol.

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x=1, -1 is correct answer

x=1, -1 is the correct answer

x^2+2x+1=x^2+1x+1x+1=x(x+1)+1(x+1)= ( x+1)(x+1)=(x+1)^2; x=-1, -1

x^2+2x+1=0x^2+x+x+1=0x(x+1)+1(x+1)=0(x+1)(x+1)=0either x+1=0x= -1x+1=0x= -1-1, -1 are the zerossum of zeros= -2product of zeros= 1

209.

The capacity of a bucket is 25 l It has 13 l of water How much more water can it hold?

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210.

A water tank has 1000 L of water. If 387 L 50 mL of waterwas used, find the quantity of water left in the tank

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water left = 1000L - 387L 50mLas 1mL = 1/1000 Lso 1000L - 387.05L = 612.95 L

211.

12.-3 containers can hold 16.95 L of water. How manycontainers will hold 146.9 L of water?

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212.

A container contains mixtureof milk and water in the ratio7: x. If 20 litre water is addedto mixture then the ratio ofmilk to water becomes 7:15.Instead, if 10 litres of water isadded then the ratio of milk towater becomes 14:25. Find theinitial quantity of milk in themixture.(a) 42 L (b) 35 L(c) 28L (d) 21 L(e) 14 Lvate

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in mixture water & milk and answer c 28

213.

A family consumes 35 L 250 mL of water andanother family consumes 54 L 750 mL of water.How much water is consumed by both thefamilies in a day?

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total water consumed

for this find total litres=35+54=89litresnow adding millilitres hence250+750=1000ml=1liteehence 89+1=90litres.

214.

Two adjacent angles of a parallelogram are equal.What is another name for this parallelogram?

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The parallelogram with equal adjacent angles is called RECTANGLE.

215.

Question 3(a)State whether each of the following statement is true or false:(1)Another name for triangular pyramid is tetrahedron.(ii) Match box is an example of a cube.(iii) The base of a square pyramid is a triangle.(iv) A road roller is an example of the solid shape cone.(v) There can be more than one net of a solid.(b) Ifp = 5 and q = 3, find the value of P P +394pq+p? - q?

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Another name for trianglar pyramid is tetrahedron

216.

The dimensions of a rectangular box are in the ratio of 2: 3:4 and the difference between the cost ofcoveringit with a cloth at the rate of10 and? I l per m2 is? 1,300. Find the dimensions of the box.

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217.

1. Ashu is r years old while his mother Mrs Veena is 2 years old. Five years hence MrsVeena will be three times old as Ashu. Find their present ages.

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218.

The areas of two circles differ by 100 cm2 andtheir circumterence differ by 10 cm, what isthe sum of their radi i ?

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Let a large circle with the radius of "a" and the radius of the smaller circle be "b",

As given in the question,

⇒ Difference of areas = 100 cm^2

⇒ Area of large circle - Area of small circle = 100 cm^2

From the properties of circle, we know : -

Area of circle = πr^2, where r is the radius of the circle

= > πa^2 - πb^2 = 100 cm^2

= > π( a^2 - b^2 ) = 100 cm^2

Also, ⇒ Difference of their perimeter = 10 cm

⇒ Perimeter of large circle - perimeter of small circle = 10 cm

From the properties of circle, we know : -

Perimeter of circle = 2πr= > 2πa - 2πb = 10 cm = > 2π( a - b ) = 10 cm

Now,= > π( a^2 - b^2 ) = 100 cm^2 --- ( 1 )

= > 2π( a - b ) = 10 cm --- ( 2 )

Divide ( 1 ) by ( 2 ), we get a + b = 20 cm

Now,= > 2π( a - b ) = 10 cm = > a - b = 10 cm x 1 / 2 x 7 / 22 = > a - b = 35 / 22 cm

Then, adding a + b and a - b,a + b = 20 cma - b = 35 / 22 cm

2a = 20 + 35 / 22 cm

= > 2a = ( 440 + 35 ) / 22 cm= > 2a = 475 / 22 cm= > a = 475 / 44 cm

And, a + b = 20 cm b = 20 cm - 475 / 44 cm b = 405 / 44 cm

Hence, radius of larger circle is 475 / 44 cm and radius of smaller circle is 405 / 44 cm.

219.

Find the volume of rectangular box with dimensions x2y, xy2 and 3xy

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Dimension of Reactangular box is length = x^2y, breadth = xy^2 and height = 3xy

Volume of Reactangular box= length * breadth * height= x^2y * xy^2 * 3xy= 3x^[2+1+1]y^[1+2+1]= 3x^4y^4

220.

two suplements angles differ by 34

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107 and 73eq 1.x+y=180eq2x-y=34

221.

On a shelf, the first row contains 25% more books than the second row, and thcontains 25% less books than the second row. If the total number of books contained in allthe three rows in 900, find the number of books in the first row.third row

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Suppose there are 100x books on 2nd row.

Then, 1st row=125x

2nd row=100x

3rd Row=75 x

Total 125x+100x+75x=300x=900

x=3

So, on 1st row =125X3=375 books.

222.

576 books are to be packed in boxes. if one box has 24 books, how many boxes are needed?

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223.

576 books are to be packed in boxes. Ifone box has 24 books, how many boxes eare needed?

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Total books=576Books in one box=24Total boxes=576/24=24Therefore,24 boxes are needed.

224.

वर(2 १ .(७: (००2: 0 गले: X 'Y’L 2(28) ¥ é«%

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225.

dimensionsof a rectangular box are in the ratio of 2:3:4 and the difference betweenThe1もやthe cost of covering it with sheet of paper at the rate ofき8 and? 9.50 per m2 is? 1248 Findthe dimensions of the box.

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226.

yearly income of RS38. A bookshelf contains x Latin, y Greek, and z English books: ifthere are 100 books, how many are there in other languages?

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let w be the no. of books in other language

then x+y+z+w=100w=100-(x+y+z)

227.

e dimensions of aBPpS820U DORes ofeach Kindrectangular box are in the ratio of 2: 3: 4 and the difference between9.50 per m2 is? 1248. Find14.the cost of covering it with sheet of paper at the rate of78 andthe dimensions of the box.

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228.

There are two types of boxes containingapples. Each box of the larger type contains 8 moreapples than 10 times the number of apples in theboxes of the smaller type. Each larger box contains88 apples. Find the number of apples contained inthe smaller boxes.

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229.

7.A box contains 75 apples, of these are rotten. Find the number of good apples.

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Total=75 apples1/5 of total is rotten1/5(75)=15 applesNumber of good apples=Total-Rotten=75-15=60 apples

230.

A box contains length 10 m, width 6 m and 1height 4 m. How many cubes of volume 15 cu.mcan accommodate in the box ?

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volume of box = l×b×h = 10×6×4 =240 cu.mno of cube = 240/15 =16 cubes accommodate in box

Volume of box = l× b× h= 10× 6× 4 = 240 cu. mno. of cubes = 240/15 = 16 cubes

231.

MathMath HwaHireDATEPAGEN1 Add the followingra) sat4b+36) 3a-36-26-2atsb-e

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5a+4b+3c+3a-3b-2c-2a+5b-8c=6a+6b-7c answer

5a+4b+3c+3a-3b-2c-2a+5b-8c=6a+6b-7c answer

232.

5 Serena's math book weighs 3.5 pounds.Her history book weighs 2.75 pounds. Herscience book weighs exactly as much asher math book. What is the total weight ofSerena's math, history, and science books?A 9.75 pounds C 8.85 poundsB 9.00 pounds D 6.25 pounds

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Maths=3.5 poundHistory=2.75 poundScience=3.5 poundTotal= 9 .75 poundAnswer A

233.

soive using Tape Digrams.1. Sam and David were selling water bottles to raise money for a sixth-grade pizza party.Sam sold S water bottles for every 3 water bottles David sold. Together they sold 160water bottles. How many did each scholar sell?0At one time the student to faculty ratio at Centennial Academy was 17:3. The totalnumber of students and faculty was 740. How many faculty members were there?How many students were there?3. At the beginning of the school year the ratio of advanced 6 grade math students to thenumber of regular Math students was 3:8. After taking the STAR Math exam studentswere moved around changing the ratio of the number of advanced students to regularstudents to 4:7. How many students started in regular Math and advanced math if therewere 92 students in advanced Math after the placement test?

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that appears correct. but they want it solve using tape diagram which has me confused

Sorry, the question had no other explanation.You can use squares in place of the variable to create tape diagram.

234.

swnes Math Paket i udets Enterbg grade 1Math + and MMath + Aereleratedths packet (harts 1 and a) thould be stbmittea to yout grade 7 math teatherto tater than the ist Fiday of the sehool yearsleep in hoursaFind the meanb. Find the medtane.Find the mode,is it accurate to say that only 1% of the students slept more than S hours? Explainyour answer.d,

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235.

48. Or three boxes the first and second toother contain Rs. 400, the secondothird Rs. 475 and the first and the third Rs. 625. Find the amount in each box

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first box=275, second box=125, third box=350

Let the 1,2,3 box be a, b, c respectivelyNow, ATQa+b=400.....(i)b+c= 475 .....(ii)a+c = 675 ...(iii)b+c=475c= 475-b....(iv)putting iv in iii we geta + 475-b = 625therefore, a-b = 150 .....(v)adding v from i we geta+b= 400a-b= 150a= 275 then we will get b= 125c= 350

236.

(1) 530 (2) 525 (3) 520 (4) 5157. A chemist has boxes which can contain respectively 16, 24 and 32 bottles of thesame type. What is the minimum number of bottles required to fill any type ofboxes completely?(1) 48 (2) 24 (3) 96 (4) 100dorareinris change after 24 seconds

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option 2 is the correct answer

option 2 is correct answer

option 2 is correct answer

option 3 is a right answer

2) is right good answer

option 2 is correct answer

option 2 is correct answer

237.

Ceramica1. A factory produces 48 boxes of soap. These are sent to 4shop gets an equal number of boxes. How many boxes of socieshop get?

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each shop will get 12 boxes

48÷4=12.each shop get 12 boxes of soap.

48÷4=12 each shop will get 12 boxes

48÷4=12. each shop get 12 boxes of soapand this is the right answer of the following

238.

The cost of 4 pens and 4 pencil boxes is 100. Threetimes the cost of a pen is 15 more than the cost of apencil box. From the pair of linear equations for theabove situation, find the cost of a pen and a pencilbox.

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239.

ample 7ro appis trees are pianted in rows. There are 35 treeand there are 42 such rows. Howiutionere are 42 such rows. How many apple troes are there in twe multiply the number of trees in eacn row by the numberNumber of appie trees in one rowNumber oi rowsTotal number of apple trees4235 x 42THHTO3 5+1 4 0 0The orchard has 1470 apple treesmple 2.a box contains 25 toffees now many toffees are in 28 such boxtionNumber of toffees in one box 25Number of boxesNumber of toffees in 28 boxes 25 x 2828x 2 92 0 028 boxes contain 700 toffees.

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so a box has : 25 toffeesand there are 28 boxesthus in total of 28 boxes, there will be 28 x 25 toffees

= 700 toffees

240.

18. Think About a Plan The numbers of paper clips per box in a truckload ofboxes are normally distributed, with a mean of 100 and a standard deviationof 5. Find the probability that a box will not contain between 95 and 105 clipsHow should you label the vertical lines on the graph of the normaldistribution?Which parts of the graph are not between 95 and 105 clips?

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probability that a box will NOT contain from 95 to 105 clips=P(X>105 or X<95)=1- P(95<X<105)=1- P((95-100)/5 < (X -100)/5 < (105-100)/5)=1- P((-1 < (X -100)/5 < 1)=1- (P((X -100)/5 < 1) - P((X -100)/5 < -1))=1- (P((X -100)/5 < 1) - (1- P((X -100)/5 < 1)))=1- (2 * P((X -100)/5 < 1) - 1)=2 - 2 * P((X -100)/5 < 1)=2- 2 * 0.8413=0.3174

hence, 31.7%

241.

10.J esolo12. The weight of 37 bags of sugar is 3644.5 kg If all the bags weigh equally, what is the weof each bag?13 IRhutate

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hand stitch bag sugar weight 98.5 kg

Weight of 37 bags = 3644.5 kgWeight of 1 bag = 3644.5/37 98.5 kg

Answer = 98.5 kg

242.

x(x+3)-7=(x-1\x)+3 is it quadratic equations?

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No it's not a quadratic equation

no it's not a quAdratic equation

x^2+3x-7= x^2-1+3x/xx^3+3x^2-7x-x^2-1+3x=0x^3+2x^2-4x+1=0general quadratic equation ax^2+bc+c=0but power is 3 so it is not quadratic equation

so it is not quadratic equation

no it's not a quadratic equation

no it is not a quadratic equation

X(x+3)-7=(x-1/x)+3 is not a quadratic equation

it is not a quadratic equation

243.

9. Three equal circles, each of radius 6 cm,touch one another as shown in the figure.Find the area enclosed between them.Ae[Take π = 3.14 and-3-1732.]

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244.

ned l rom。う99 litres of water ?o. The total weight of 35 bags of sugar is 3554 25 kg. If all bags weigh equally, find the weight of one bag.

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weight of one bag = 3554.25/35 = 101.55kg

245.

5. Each side of an equilateral triangle measures 8 cm. Find (i) the areathe triangle, correct to 2 places of decimal and (i) the height oftriangle, correct to 2 places of decimal. Tako-3-1732

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246.

A person in a helicopter flying at a height of 700 mobservestwo ofjects lying oppoxteto each other on either banks of a river. The angles of depression of the objects are 30and 45% find the width of the river. (J31732)

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247.

11. The area of an equilateral triangle is a6x 3) cm2. Find the length of each stde ogthe trianglefon enuilateral triangle of side 24 cm. [Take 3 1.73]

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My photo

thank you

248.

lly x sin 60° cos-30° = tana45.sec60°cosec60

Answer»

ansar ta ki hoba bolo to

2—(2up/and/3down) dakhona ki hoba dia bolo

249.

If mohan has 10 mango and if ram take 3 mango .How much mongo does Shyam has?

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Mohan has 10 mangoes and Ram takes 3 mangoes so Shyam left with mangoes = 10 - 3 = 7

250.

36. Find the area of APQR such that Q-90, PR-10 cm and ZPRQ 30°.(Take 3-1.73)

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