Std: 8 Sub: Maths Final Examination

Q. 1) Write fill in the blanks.           (5)

A) 1) The average is also known as --------------

2) The greatest index of the variable in the given polynomial is called 

The ----------------.

3) Two angels and their included  side ---------------- test. 

4) Area of rhombus = --------------------------.

5) 1 hectare = --------------------- Sqm. 

B)  Write true or false.               (5)

1) The measure of the space occupied by a solid is called the 

Volume of the Solid. 

2) A quadrilateral having opposite sides parallel is called a

Parallelogram.

3) 400 x 0 + 100 = 400

4) Selling price = marked price – Discount .

5) Their point of concurrence is called the centroid.

Q. 2) Solve the following questions.  (any five)   (10)

1)

21 m² ÷7m 

2) 60, 50, 54, 46, 50 find the average. 

3) 5(x-3) = 3 ( x+ 2)

4) Find the amount if p= 2000   R= 5 , N = 2 .

5) Draw the 85°angle and bisect it. 

6) If  base of a parallelogram is 18 cm and its height is 11 cm find 

It’s area. 

Q. 3) Solve the following questions.      (any five)   (15)

1) If perimeter of a rhombus is 100 cm and length of one diagonal is

48 cm What is the area of the quadrilateral? 

2) Find the difference between simple interest and compound interest 

On Rs 20000 at  8 p. c. p. a 

3) Mother is 25 year older than her son. Find sons age if after 8 years 

Ratio of sons age to mothers age will be 4/9

4) Construct the Δ ABC of given measures. AB= 7 cm  BC= 5 cm and

AC= 6.2 cm. 

5) Solve the following equations. 

3 (y+8) = 10 ( Y-4) + 8 

6) Decide whether these values are the solutions of the equation. 

X – 4 = 3    X = -1 , 7 

Q. 4)A) Solve the following questions.       (12)

1) Find three consecutive whole numbers whose sum is more than 

45 but less than 54 .

2) Sohan has taken a loan of Rs 12500 at a rate of 12 p. c. p. a for 

3 years if the interest is compounded annually then how many 

Rupees should be pay to clear his loan. 

3) Area of a parallelogram is 83 .2 sqcm.  If its height is 6.4 cm find 

The length of its base. 

B)  Solve the following questions.  (any one)     (3)

1) Find the volume of a box if its length breadth and height are 

20 cm , 10 .5 cm and 8 cm  respectively. 

2) Find the area of circle if radius is 28 cm. 

Q. 5) Solve the following questions.      (10)

1) Sides of a triangle are 45 cm,  39 cm  and 42 cm find its area. 

2) Find the number of years for which the compound interest of 

Rs 9000 is Rs 1890 at the rate of 10 p. c. p. a

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Std:6 Sub: Maths Final examination

Q.1 Solve the following question :-(Any Six) (12)

1) Maganlal bought trousers for ₹ 400 and a shirt for ₹ 200 and sold them for ₹ 448 and ₹ 250 respectively Which

of these transactions was more profitable?

2) Shabana scored 736 marks out of 800 in her exams What was the percentage she scored?

3) A shopkeeper bought a bicycle for ₹ 3000 and sold the same for ₹ 3400 How much was his profit?

4) At a rate of 10 p c p a , what would be the interest for one year on ₹ 6000?

5) Draw line l Take any point P on the line Using a set square, draw a line perpendicular to line l at the point P

6) Different mathematical operations are given in the two rows below Find out the number you get in each

operation and make equations

16 ÷ 2, 5 × 2, 9 + 4, 72 ÷ 3, 4 + 5 ,8 × 3, 19 - 10, 10 - 2, 37 - 27, 6 + 7

7) Snehal has a red ribbon that is 80 cm long and a blue ribbon, 2.20 m long What is

the ratio of the length of the red ribbon to that of the blue ribbon?

Q.2 Solve the following question :-(Any Four) (12)

1) A pond in a field holds 120000 litres of water It costs 18000 rupees to make such a pond How many ponds will be

required to store 480000 litres of water, and what would be the expense?

2) In the elections, 1080 of the 1200 women in Jambhulgaon cast their vote, while 1360 of the 1700 in Wadgaon cast

theirs In which village did a greater proportion of women cast their votes?

3) Sharad bought one quintal of onions for ₹ 2000 Later he sold them all at the rate of ₹ 18 per kg Did he make a

profit or incur a loss? How much was it?

4) The lengths of the sides of some triangles are given Say what types of triangles they are

(1) 3 cm, 4 cm, 5 cm

5) Indrajit bought 10 refrigerators at ₹ 12000 each and spent ₹ 5000 on transport For how much should he sell each

refrigerator in order to make a profit of ₹ 20000?

Q.3 Solve the following question :-(Any Four) (12)

1) The lengths of three segments are given for constructing a triangle Say whether a triangle with these sides can be

drawn Give the reason for your answer

(1) 17 cm, 7 cm, 8 cm (2) 9 cm, 6 cm, 16 cm

2) write the number of sides the polygon has

Names Number of sides

Quadrilateral

Octagon

Pentagon

Heptagon

Hexagon

3) Draw a line segment AB of length 5 5 cm Bisect it using a compass and ruler

4) Archana bought some kilograms of wheat She requires 12kg per month and she got enough wheat milled for 3

months After that, she had 14 kg left How much wheat had Archana bought altogether?

5) Shubham’s age today is 12 years and his father’s is 42 years Shubham’s mother is

younger than his father by 6 years Find the following ratios

(1) Ratio of Shubham’s age today to his mother’s age today

(2) Ratio of Shubham’s mother’s age today to his father’s age today

(3) The ratio of Shubham’s age to his mother’s age when Shubham was 10 years old

Q.4 Solve the following question :-(Any Two) (10)

1) Find the ratio of the first quantity to the second

(1) 25 beads, 40 beads (2) 30 litres, 24 litres

(3) 60 paise, 1 rupees (4) 40 rupees, 120 rupees

(5) 99 kg, 44000 grams (6) 15 minutes, 1 hour

(7) 1 litre, 250 ml (8) 125 cm, 1 metre

2) Pramod bought 100 bunches of methi greens for ₹ 400 In a sudden down pour, 30 of the bunches on his handcart

got spoilt He sold the rest at the rate of ₹ 5 each Did he make a profit or a loss? How much?

Q.4 Solve the following question :-(Any One) (04)

1) The cost price and selling price are given in the following table Find out whether there was a profit or a loss and

how much it was

No. Cost Price

(In ₹ )

Selling price

(In ₹ )

Profit or

Loss

How much ??

1. 4500 5000

2. 4100 4090

3. 700 799

4. 1000 920

2) 4) Kisanrao wanted to make a pond in his field He borrowed ₹ 35250 from a bank at an interest rate of 6 p c p a

How much interest will he have to pay to the bank at the end of the year

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Std: 7 Sub: Maths Final Examination

Q.1 Solve the following question :-(Any Six) (12)

1) If 7 kg onions cost 140 rupees, how much must we pay for 12 kg onions?

2) Two mobiles cost 16,000 rupees. How much money will be required to buy 13 such mobiles ?

3) Mohanrao took 10 days to finish a book, reading 40 pages every day. How many pages must he read in a day to

finish it in 8 days?

4) If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?

5) If the interest on 1700 rupees is 340 rupees for 2 years the rate of interest must be ................

(i) 12 % (ii) 15 % (iii) 4 % (iv) 10 %

6) If the circumference of a circle is 176 cm, find its radius.

7) If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120° then

m(arc AYB) = ...................

(i) 140° (ii) 60° (iii) 240° (iv) 160°

Q.2 Solve the following question :-(Any Four) (12)

1) Suresh and Ramesh together invested 144000 rupees in the ratio 4:5 and bought a plot of land. After some years

they sold it at a profit of 20%. What is the profit each of them got?

2) Jethalal took a housing loan of 2,50,000 rupees from a bank at 10 p.c.p.a. for 5 years. What is the yearly interest he

must pay and the total amount he returns to the bank?

3) Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the

end of the period, he had received altogether 17,400 rupees.For how many years had he deposited his money ?

4) The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40

rupees per metre ?

5) If the length and breadth of a rectangle are doubled, how many times the perimeter of the old rectangle will that

of the new rectangle be?

Q.3 Solve the following question :-(Any Four) (12)

1) An open box of length1.5m,breadth1m,andheight1mistobemadeforuseona trolley for carrying garden waste. How

much sheet metal will be required to make this box? The inside and outside surface of the box is to be painted with

rust proof paint. At a rate of 150 rupees per sq m, how much will it cost to paint the box?

2) The sides of some triangles are given below. Find out which ones are right-angled triangles?

(i) 8, 15, 17 (ii) 11, 12, 15 (iii) 11, 60, 61

3) Use the formula to multiply the following.

(i) (x+y) (x - y) (ii) (a+6) (a-6)

4) A rectangular hall is 12 m long and 6 m broad. Its flooring is to be made of square tiles of side 30 cm. How many

tiles will fit in the entire hall? How many would be required if tiles of side 15 cm were used?

5) Find the total surface area of cubes having the following sides.

(i) 3 cm (ii) 5 cm (iii) 7.2 m

Q.4 Solve the following question :-(Any Three) (12)

1) Factorise the following expressions

. (i) p2 - q2 (ii) 4x2 - 25y2

2) The daily rainfall for each day of a week in a certain city is given in millimetres. Find the average rainfall during

the week. 9, 11, 8, 20, 10, 16, 12

3) A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.

3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4

4) In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.

Q.4 Solve the following question :-(Any Three) (12)

1) Find the Pythagorean triplets from among the following sets of numbers.

(i) 3, 4, 5 (ii) 4, 5, 6 (iii) 9, 40, 41

2) If Pankaj deposits 1,50,000 rupees in a bank at 10 p.c.p.a. for two years, what is the total amount he will get from

the bank?

3) Mary cycles at 6 km per hour. How long will she take to reach her Aunt’s house which is 12 km away? If she

cycles at a speed of 4 km/hr, how long would she take ?

4) The wheel of a bullock cart has a diameter of 1.4m. How many rotations will the wheel complete as the cart

travels 1.1 km ?

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Std:6 Final Assessment Sub: Maths Assessment 2

1. If 9 kg rice is shared amongst 5 people, how many kilograms of rice does each

person get?

2. To make 5 shirts of the same size, 11 metres of cloth is needed How much cloth

is needed for one shirt?

3. Solve

(1) 905. 5 + 27.197 

(2) 39 + 700.65 

4 Subtract

(1) 85 .96 - 2.345 

(2) 632 .24 - 97 .45

5. Avinash travelled 42 km 365 m by bus, 12 km 460 m by car and walked 640 m How many kilometres did he travel altogether?

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Std:6 Final Assessment Sub: Maths Assessment 1

1. Measure of the angle     Type of angle

(1) 180                (a) Zero angle

(2) 240                (b) Straight angle

(3) 360                (c) Reflex angle

(4) 0                  (d)Complete angle       

2. The measures of some angles are given below Write the type of each angle.

(1) 75°    (2) 215°  (3) 180° (4) 148°

(5) 0°     (6) 360°  (7) 120° (8) 90°

3. Write the numbers in the following examples using the proper signs

(1) A submarine is at a depth of 512 metres below sea level

(2) The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres 

(3) A kite is flying at a distance of 120 metres from the ground

4. Classify the following numbers as positive numbers and negative numbers

-5, +4, -2, 7, +26, -49, -37, 19, -25, +8, 5, -4, -12, 27

5. Add

(1) 8 + 6

(2) 9 + (-3) 

(3) 5 + (-6)

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Std:7 Final Assessment Sub: Maths Assessment 1

1. Rakesh’s age is less than Sania’s age by 5 years. The sum of their ages is 27 years.How old are they?

2. When planting a forest, the number of jambhul trees planted was greater than the number of ashoka trees by 60. If there are altogether 200 trees of these two types, how many jambhul trees were planted?

3. Shubhangi has twice as many 20-rupee notes as she has 50-rupee notes. Altogether, she has 2700 rupees. How many 50-rupee notes does she have?

4. Virat made twice as many runs as Rohit. The total of their scores is 2 less than a double century. How many runs did each of them make?

5. Solve the following equations 

(i) 6x-1 = 3x + 8

(ii) 2 (x-4) = 4x + 2

(iii) 5 (x+ 1) = 74

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Std:6 Final Assessment Sub: Maths Assessment 4

(1) On the playground, if the children are made to stand for drill either 20 to a row

or 25 to a row, all rows are complete and no child is left out What is the lowest

possible number of children in that school?

(2) Veena has some beads She wants to make necklaces with an equal number of

beads in each If she makes necklaces of 16 or 24 or 40 beads, there is no bead

left over What is the least number of beads with her?

(3) An equal number of laddoos have been placed in 3 different boxes The laddoos

in the first box were distributed among 20 children equally, the laddoos in the second box among 24 children and those in the third box among 12 children Not a single laddoo was left over Then, what was the minimum number of laddoos in the three boxes altogether?

(4) We observed the traffic lights at three different squares on the same big road They turn green every 60 seconds, 120 seconds and 24 seconds When the signals were switched on at 8 o’clock in the morning, all the lights were green How long after that will all three signals turn green simultaneously again?

(5) Find out the LCM of the following numbers

(1) 9, 15               (2) 2, 3, 5

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Std:6 Final Assessment Sub: Maths Assessment 3

1. Two ropes, one 8 metres long and the other 12 metres long are to be cut into pieces of the same length What will the maximum possible length of each piece be?

2. The number of students of Std 6th and Std 7th who went to visit the Tadoba Tiger Project at Chandrapur was 140 and 196 respectively The students of each class are to be divided into groups of the same number of students Each group can have a paid guide What is the maximum number of students there can be in each group? Why do you think each group should have the maximum possible number of students?

3. At the Rice Research Centre at Tumsar, there are 2610 kg of seeds of the basmati variety and 1980 kg of the Indrayani variety If the maximum possible weight of seeds has to be filled to make bags of equal weight what should be the weight of each bag ? How many bags of each variety will there be?

4. Find the HCF of the following numbers

(1) 45, 30                (2) 16, 48 

(3) 39, 25                (4) 81, 99 

5.If large square beds of equal size are to be made for planting vegetables on a plot of land 18 metres long and 15 metres wide, what is the maximum possible length of each bed ?

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Std:7 Final Assessment Sub: Maths Assessment 2

1. The number of saplings planted by schools on World Tree Day is given in the table below. Draw a joint bar graph to show these figures.

School Name\ Name sapling Almond Karanj Neem Ashok Gulmohar

Nutan Vidyalaya 40

60 72 15 42

Bharat Vidyalaya 42 38 60 25 40

2. Write the measures of the supplements of the angles given below.

(i) 15° (ii) 85° (iii) 120° (iv) 37° 

3. If m∠A = 70°, what is the measure of the supplement of the

complement of <A?

4. Multiply.

(i) (-5) × (-7) (ii) (-9) × (6) (iii) (9) × (-4)

5. Construct triangles of the measures given below.

In ∆ABC, l(AC) = 7.5 cm,

m<ABC = 90° , l(BC) = 5.5 cm.

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Std:7 Final Assessment Sub: Maths Assessment 3

1. Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.

(i)7x (ii)5y - 7z (iii)3x3-5x2 - 11 (iv)1 - 8a - 7a2 - 7a3 (v)5m - 3 (vi)a (vii)4 (viii)3y2 - 7y+5

2. Add.

(i) 9p + 16q ; 13p + 2q

(ii) 2a + 6b + 8c; 16a + 13c + 18b

3. Subtract the second expression from the first.

(i) (4xy - 9z);(3xy - 16z)

(ii) (5x+4y+7z);(x+2y+3z)

4. If 7 kg onions cost 140 rupees, how much must we pay for 12 kg onions?

5. If 600 rupees buy 15 bunches of feed, how many will 1280 rupees buy?

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Std:7 Final Assessment Sub: Maths Assessment 4

1. Jaya, Seema, Nikhil and Neelesh put in altogether 360000 rupees to form a partnership, with their investments being in the proportion 3:4:7:6. What was Jaya’s actual share in the capital? They made a profit of 12%. How much profit did Nikhil make ?

2. At a certain rate of interest, the interest after 4 years on 5000 rupees principal is 1200 rupees. What would be the interest on 15000 rupees at the same

rate of interest for the same period?

3. The wheel of a bullock cart has a diameter of 1.4m. How many rotations will the wheel complete as the cart travels 1.1 km ?

4. What is the value of a rectangular plot of land 75.5 m long and 30.5 m broad at the rate of 1000 rupees per square metre?

5. Find the Pythagorean triplets from among the following sets of numbers.

(i) 3, 4, 5

(ii) 4, 5, 6

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Std:8 Final Assessment Sub: Maths Assessment 1

Subject: Maths  Assessment: 1  Std: Vlllth  

Marks : 10

Q.1) Solve the following questions .

(1)Find the number of years for which the 

Compound interest of 9000 Rupees is 

1890  Rupees at the rate of 10 p.c.p.a

(2) P = 2000   R= 5   N=  2

Find the amount and compound interest.

(3)If base  of a parallelogram is 18 cm and 

Its height is 11 cm find its  area.

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Std:8 Final Assessment Sub: Maths Assessment 2

Subject: Maths  Assessment: 2 Std: Vlllth

Marks : 10

Q.1) Solve the following questions.

(1) length of the diagonals of a rhombus

Are 16.5 cm and 14.2 cm find its area.

(2)length of the two parallel sides of trapezium

Are 8.5 cm and 11.5 cm respectively and its height 

Is 4.2cm find its area.

(3)Draw 120°angle and bisect it .

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Std:8 Final Assessment Sub: Maths Assessment 3

Subject: Maths  Assessment: 3 

Std : Vlllth  Marks: (10)

Q.1) Solve the following questions.

(1)Sides of a triangle are 45 cm  39  cm

And 42 cm find its area.

(2)Find the area of the circle if its circumference

Is 99 cm .

(3)Find the volume of a box if its length, breadth 

And height are 19.5 , 10.5 and 5cm respectively.

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Std:8 Final Assessment Sub: Maths Assessment 4

Subject: Maths Assessment: 4

Std: Vlllth  Marks :(10)

Q.1). Solve the following questions.

(1)Find the total surface area of a closed

Cylindrical drum if its diameter is 50 cm

And height is 45 cm.

(2)Construct ∆ ABC if BC = 5.8cm

<B = 75 AB = 6.3 cm.

(3)Find the total surface area and curved

Surface area of cylinder if radius and height

Is 7cm and 10 cm respectively.

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Class: 8 Sub: Maths Weekly Test

Subject: Maths    Std: Vlll  

Marks: (10)

Q.1) Solve the following questions.

l)  Find the difference between simple interest and compound interest  on rupees 20000 at 8 p.c.p.a.

ll) If base of a parallelogram is 18 cm and  its height is 11 cm, find its area.

lll) Lengths of the diagonals of a  rhombus are  15 cm and 24 cm find its area.

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Class:7 Sub: Maths Weekly Test

Q.1 Solve any five of the following

1. If the circumference of a circle is 176 cm, find its radius.

2. The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre ?

3. The radius (r) = 7 cm

Find 

Diameter (d) = ? 

circumference(c) = ?  

 4.  Choose the correct option.

If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120° then

m(arc AYB) = __________

(i) 140° (ii) 60° (iii) 240° (iv) 160°

5. The wheel of a bullock cart has a diameter of 1.4 m. How many rotations will the wheel complete as the cart travels 1.1 km ?

6. The radius of a circle is 35 cm.

Find its circumference.

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Class:6 Sub: Maths Weekly Test

Q.1 Solve any five of the following 

1. Write all the factors of the given numbers and list their common factors

(1) 12, 16 (2) 21, 24 (3) 25, 30 (4) 24, 25 (5) 56, 72

2. Two ropes, one 8 metres long and the other 12 metres long are to be cut into pieces of the same length What will the maximum possible length of each piece be?

3. At the Rice Research Centre at Tumsar, there are 2610 kg of seeds of the basmati variety and 1980 kg of the Indrayani variety If the maximum possible weight of seeds has to be filled to make bags of equal weight what should be the weight of each bag ? How many bags of each variety will there be?

4. Veena has some beads She wants to make necklaces with an equal number of beads in each If she makes necklaces of 16 or 24 or 40 beads, there is no bead left over What is the least number of beads with her?

5. Find out the LCM of the following numbers

(1) 9, 15 (2) 2, 3, 5 (3) 12, 28 (4) 15, 20 (5) 8, 11

6. On the playground, if the children are made to stand for drill either 20 to a row or 25 to a row, all rows are complete and no child is left out What is the lowest possible number of children in that school?

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