KRISHNAI ENGLISH MEDIUM SCHOOL,
Chikhlawade
Annual Exam 2016-17
Std. 5th Marks : 80
Subject : Mathematics
Date : / /
Student’s Name : _______________________________________________
Roll No. : _______________________________________________
Q.1 A Fill in the blanks 5
1. Distance = Speed X ________________________.
2. Volume of a cubaid = Length x breadth x ___________________.
3. The _______________ is a segment joining the center to any point on the circle.
4. Perimeter of a square = 4 X _________
5. A ____________ extends indefinitely in both directions.
B) Match the following 5
1) 1 hg a) 1000 g
2) 1 z b) 0.001 km
3) 1 dam c) 10 dag
4) 1 m d) 10 g
5) 1 kg e) 10 m
f) 0.001 kl.
C) Write the measurements of the given angles. 5
1. Acute angle
2. Right angle
3. Obtuse angle
4. Straight angle
5. Reflex angle
Q.2 A) ∆ RMN with measure of each site equal to 5 cm. 2
B) Construct a rectangle PQRS such that PQ=5 cm . and QR=3 cm . 2
C) Draw circle with radius 2.5 cm. 2
D) Read the temperature in each thermometer. Fill in the number of ℃ or ℉ . 2
E) Observe the figure. Fill in the blanks. 4
i) Segment _______________ is the diameter of the circle.
ii) Point ______________ is the centre of the circle.
iii Segment __________, _____________, ____________ and ___________ are the raddi of the
) circle.
iv) Segment _____________ is a chord.
Q.3) Solve any seven 7
1. 2
Convert fraction to percentage ex.
5
2. Add – 39.42 + 9.67
3. Find the profit or loss ex. C.P = Rs. 120, S.P. = Rs. 150
4. Write each ratio as a percent.
40
i. ii) 35 : 100
100
5. What is the sum of all the angles of a triangle?
6. Simplify = 786 kg 15 g + 123 kg 470 g.
7. Convert to decimal number ex. 87 m 6 cm.
8. Express the following in litres and millilitres. ex. 48. 008 ∫
Q.4 Solve any Ten (Each 2 m.) 20
a. Find the distance
S = 80 km / hr
t = 5 hr.
b. Find the value of cuboid
l = 8 m., b = 7 m., h = 5 m.
c. Calculate the area of circle
r = 28 cm.
d) Find the perimeter of square
s = 42 m.
e) Simplify = 14 kg 8 g x 67
f) Write four equal ratios for 6 : 7
g) Amol bought a laptop for Rs. 33,298 and sold it for Rs. 28,680. What is his profit or loss?
h) The cost of 1 pencil box is Rs. 42.50. What is the cost of one dozen boxes?
i) Simplify 420.05 x 8
j) Find the circumference ex. r = 49 cm.
k) Write the name of polygon.
i) 4 Sides ii) 7 sides
l) Write difference between a square and a rectangle.
Q.5) Solve any six (each 3 m) 18
1. This pie chart shows the favourite fruits of all students of K.E.M. School observe the chart and
answer the questions.
a) Which fruit is the favourite of 95 students?
b) How many students chose apple, orange and grapes in all?
c) How many students named Banana as their Favourite fruit?
2. Sachin covers a distance of 30 km if he travels at the speed of 10 km/ hr by scooter. Find the
time taken by him to travel that distance.
3. The circumference of a circle is 132 cm. Find its radius.
4. Sonali deposited Rs. 700/- in the bank. How much did she earn at the end of 2 years at 5% p.a.
5. Pari Purchased a bag for Rs. 150 but sold it for Rs. 130 what was the loss she incurred? What is
the loss percent?
6. Identify the types of angles.
(a) (b) (c)
7. State the properties of Rhombus.
Q.6) Solve any two (Each 4 m) 8
1. Sathe made a tally table of the ice cream cones sold at Sathe’s Ice Cream Parlour during a
weekend in May. Use the given data to draw a Picto Graph
Scale : Each Ice Cream = 5)
Tally Mark
Variety of Ice Cream
Vanilla Cherry Pineapple
Cones
2. Amol weight 49 kg. 675 g. and Ajay weight 55 kg. 580 g.
i) What is their total weight?
ii) What is the difference in their weights?
3. Complete the bills given below.
Bill No. 101
IDEAL STATIONERY STORE
M.G. Street, Mumbai- 400 006.
Phone : 42005638
Name and Address :- Date : 16/03/2017
Mrs. Kanta Biyani
Manav Mandir Road,
Mumbai 400006.
Sr. Price (Rs.)
Description Quantity Amount
No. Per Unit
1. Pencils 2 Dozens Rs. 48.50 Per dozen
2. Rulers ½ Dozen Rs. 70.00 per dozen
3. Ball Pens 2 Dozens Rs. 80.00 Per dozen
4. Writing Pad 3 Rs. 12.50 Per Pad
KRISHNAI ENGLISH MEDIUM SCHOOL,
Chikhlawade
Annual Exam 2016-17
Std. 6th Marks : 80
Subject : Mathematics
Date : / /
Student’s Name : _______________________________________________
Roll No. : _______________________________________________
Q.1 A Fill in the blanks 5
1. Perimeter of a square = 4 x ____________________.
2. Area of a rectangle = length x __________________.
3. Lateral surface area of a cuboid = 2 (length + breadth) x _________________.
4. A triangle with a pair of equal sides is called an _________________.
5. (¿¿ )
Profit percent = ×100
Cost Price
B) Choose the correct answer and write it. 5
1. A triangle that has no equal sides.
i) Scalene ii) Isosceles
iii) Equilateral iv) Acute
2. A triangle that has one angle greater than 90o, but less than 180o.
i) Right ii) Obtuse
iii) Equilateral iv) Acute
3. All angles are less than 90o.
i) Right ii) Obtuse
iii) Scalene iv) Acute
4. The angles of a triangle are in the ratio of 1 : 3 : 5. Find the measure of the smallest angle of the
triangle.
i) 100 ii) 60o iii) 20o
5. In ∆ DEF, m ∠ D=37 ° and m ∠ F=56 ° Find the measure of an exterior angle at E.
i) 143o ii) 93o iii) 87o
C) Write True or False. 5
1. The radius of a circle is the longest chord of that circle since it passes through the centre.
2. A triangle in which measure of one of the angles is 90o is called a right angled triangle.
3. Vertically opposite angles are congruent.
4. Any two right angles are supplementary.
5. When two different terms have exactly the same variables raised to exactly the same power we
call them unlike terms.
Q.2) Solve any seven (Each 1 m) 7
1. 13 ❑ 91
Fill in the boxes = =
8 48 ❑
2. Change the following percentages to decimal numbers. ex. 7.2%
3. Classify into constants and vairables. ex 12 pq
4. Write the leading coefficient
2 2 2 2 3 2
3 x y+4 x y z − y z
5. Multiply - 2 a2 y 3 × 3 a3 y 4
6. Find radius. ex. diameter = 46 cm.
7. Calculate the perimeter. ex.
8. Find the volume of cuboid of length 10 cm. width 5 cm. and height 4 cm.
Q.3) Solve any ten (Each 2 marks) 20
1. Find the volume of cuboid
l = 6 cm, b = 5 cm, h = 3 cm.
2. Find area of rectangle. Length = 54.4 cm, Breadth = 14 cm.
3. Draw as many possible line of summetry through each letter.
i) F ii) X iii) V iv) C
4. Add ( 3 a+2 b−4 c+ d ) + (−a+3 b +2 c+ d )+(6 a−3 b−7 c−6 d)
5. Group the like terms
3
S × S × S , 2 S−S , S , S , 2 S ,3 S−2 S , S + S+ S , 3 S +S−2 S
6. Find the interest.
Rs. 3,526/- at 25% p.a. for 2 years.
7. Find 40% of 620.
8. Find the missing number
n 32
=
33 24
9. Fill in the boxes.
❑ = 20 = 40 = 8
5 25 ❑ ❑
10 If x = 3, and y = 4 then what is x2 + xy?
.
11 Find the total surfance area of a cube which has sides of length 5 cm.
.
Q.4 a) The angles of a triangle are in the ratio 1 : 2 : 3 find the measure of the biggest angle of the 2
triangle.
b) Classify each of the following triangles as acute, obtuse or right. 3
(a) (b) (c)
c) Find the missing angle measurement. 2
d) Construct a ∆ XYZ with YZ = 5 cm and XY = XZ = 6.5 cm. 2
e) Draw ∠ ABC=75 ° and construct its line of summitry. 3
Q.5) Solve any six (Each 3 marks) 18
1. The length of a playground is 36 m and the widthe is 25 m find the cost of levelling. The ground
at Rs. 3 per square meter.
2. Find the volume and total surface area of box which measure 3 cm x 4 cm x 3 cm.
3. This pie chart shows the time spent by people on reading each day. Use it to answer qauestions.
a) Are people more likely to read fiction or a magazine?
b) Which two types of reading are more popular the internet?
c) What type of reading takes the smallest amount of time per day?
4. Subtract –
( 6 x 3 +4 x2−2 x−6 )−(2 x3 −8 x2 + x−2)
5. Mr. Shinde lent a sum of Rs. 10,000/- to his friend. He received an amount of Rs. 1200 as simple
interest in two years. What was the rate of interest p.a.?
6. An item has a market price of Rs. 425/-. It is sold at Rs. 318.75/-. What is the actual discount and
discount percent?
7. An electronics shop had a 35% decrease in sales this month last month they sold Rs. 5,20,000/-
work of goods. How much did they sell this month?
Q.6) Solve any two (Each 4 marks) 8
1. The number of science books sold by a shopkeeper on five consecutive days is as follows.
Days Sunday Monday Tuesday Wednesday Thursday
Number of
60 50 30 45 20
books sold
Draw a bar graph to represent the above invormation.
Scale 1 cm = 10 unit)
2. Simplify and evaluate
m = 2 and n = 5
{ ( 3 m−4 n+3−5 m+ 7 n )−6 } +11m
3. Sachin bought a refrigerator for Rs. 15000/-. Due to some technical fault he has to sell it for Rs.
Rs. 12000/-. What is the loss and loss percent?
KRISHNAI ENGLISH MEDIUM SCHOOL,
Chikhlawade
Annual Exam 2016-17
Std. 8th Marks : 80
Subject : Mathematics
Date : / /
Student’s Name : _______________________________________________
Roll No. : _______________________________________________
Q.1 A) Fill in the blanks 5
1. m ❑ ❑
(a × b) =a × b
2. The measure of the __________________ angle correct ponding to minor are.
3. A polynomial of two terms is called a ___________________.
4. 20% of 25000 = ______________ x ________________ = _____________.
5. When we divide 43 by 5 then quotient is ___________ and the remainder is ___________.
B) Match the following. 5
1. Volume of the cylinder (i) πr (1+r )
2. Volume of Cone (ii) π r 2 h
3. Volume of a sphere 1 2
4. Total surface area of cone. iii) xr h
5. Surface area of Sphere
3
iv)4 x r 2
4 3
v) π r
3
C) Find the values. 5
i) ¿ ii) 253 iii) ¿
3
iv) 9 v) ¿
Q.2) Solve any seven (Each 1 m) 7
1. Write in symbols
ex. The cube root of 3375 is 15.
2. Simplify (23 )5
3. Write two examples of binomials.
4. Find the value :- 6% of 11450.
5. A cylinder has a base of radius 5 cm. and height of 21 cm. What is its volume?
6. Find the surface area of sphere of the following.
r = 9.8 m.
7. Use the formula to find the factors.
ex. x 3−8 y 3
8. If the measure of a central angle is 150o. Find the measure of the corresponding minor arc.
Q.3 A) Draw DEFG, 1(DE) = 5 cm., 1 (EF) = 6 cm., 1(FG) = 7 cm., 1(DG) = 3 cm., 1(DF) = 9 cm. 2
B) In GOLD, 1 (OD) = 100 cm., 1 (OL) = 7.5 cm., 1(LD) = 5 cm., 1 (GD) = 4 cm., 1 (GI) = 6 2
cm.
C) In MTSN, 1 (MT) = 4 cm., 1(TS) = 5 cm., m ∠ M =50 °, m ∠ T=110 °, m ∠ S=70 ° . 2
D) In KING, 1 (KI) 3.5 cm., 1 (IN) = 5.5 cm., 1 (NG) = 5 cm., m ∠ N =75 °, m ∠ I =115 ° 2
E) Observe the figure and name the angles which intercept arcs and name the arc that each angle 2
intercepts.
F) In the figure, Seg PT and Seg VR are diameters. Name those minor arcs and major arcs. 2
Q.4) Solve any ten (Each 2 m) 20
1. Find the cube root of 2744.
2. 1 1
Simplify - 7 3 ÷ 7 5
3. Find the simple interest P = Rs. 9000, R = 10 p.c.p.a., N = 3 years.
4. Write any two expressions which are polynomials.
5. Write the degree of the following polynomials.
i) x - 11 + 3x4
ii) 82
6. Find discount (Rs) and selling price (SP)
MP = 4800/-
Discount percent = 6%.
7. A dealer sold tea worth Rs. 22,500/- for a tea company. If he got a commission at the rate of
15% how much was his actual commission?
8. The radius of a cylinder is 8 cm. and height 35 cm what is the area of its curved surface.
9. The radius of a sphere is 30 cm. What is the volume of the sphere?
x=3.14 ¿
10 Divide – (i) 36 x 5 ÷ 4 x 3=¿
.
(ii) 36 p2 ÷6 p=¿
11 Factorise - x 2+ 13 x −11 x−143
.
12 Use the formula to find the factors. ex. y3 + 216.
.
Q.5) Solve any six (Each 3 m) 18
1. Carry out the following division and write your answer in the form
Dividend = Divisor x quotient + remainder.
ex. ( x 3−3 x 2+ 6 x−27 ) ÷(x −3)
2. Find the factors.
ex. 3 x 2+3 x−1260
3. The height of a cone shaped paper hat is 24 cm. and the radius of the base is 7 cm. How much
paper will be required to prepare 10 such hats?
4. Use the given information and find (i) Total value (ii) Total commission (iii) Amount received
by farmer.
Produce Sold by agent – Onion 21 quintals.
Rate. Rs. 180/- per quintal
5. A wholesale trader sold Rs. 20 crore worth or cloth this year. If he sale of 2% per year. How
much will the sale be after three years?
6. The measures of the opposite angle of a cylic quadrilateral are ‘x’ and 3x. What are the measures
of these angles of the quadrilateral?
7. Evaluate
1 1 1
i) 125 3 ii) 64 2 iii) 64 6
Q.3) Solve any two (each 4 marks) 8
1. Divide –
( x 4 −5 x 3 +5 x 2+ 5 x−6 ) ÷(x +1)
Write the quotient and remainder.
2. Children of four divisions of Std. VIII of a school, planted samplings as shown below. Show this
in a joint bar graph.
Division A B C D
Teak 30 25 25 20
Mango 25 25 10 5
3. The volume of a cone is 9856 cu cm. If the diameter of its base is 28 cm., what is its height and
its slant height?
KRISHNAI ENGLISH MEDIUM SCHOOL,
Chikhlawade
Annual Exam 2016-17
Std. 7th Marks : 80
Subject : Mathematics
Date : / /
Student’s Name : _______________________________________________
Roll No. : _______________________________________________
Q.1 A Fill in the blanks 5
1. When three sides of a triangle are equal to three sides of another triangle the triangles are
____________.
2. A ___________ is a parallelogram that has all sides equal.
3. ______________ can be defined as “out of the hundred”.
4. The money that a person borrows is called the ______________.
5. A person who buys goods from a wholesaler and sells it to a customer is called __________.
B) Write the names of polygons on the basis of number of sides. 5
i) 4 Sides ii) 8 Sides
iii) 6 Sides iv) 9 Sides v) 7 Sides
C) Choose the correct option. 5
1. Consecutive pairs of angles of a parallelogram are __________________.
i) Complementary ii) Acute
iii) Supplementary iv) Obtuse
2. Opposite angles of a parallelogram are _______________.
i) Complementary ii) Congruent
iii) Acute iv) Supplementary
3. The diagonals of a parallelogram _______________.
i) Are congruent ii) Are Parallel
iii) Are perpendicular iv) Bisect each other
4. A ________________ is a quadrilateral having two pairs of parallel sides.
i) Polygon ii) Hexagon
iii) Parallelogram iv) Trapezoid
5. A quadrilateral with two pairs of parallel sides and four congruent sides is a ______________.
i) Trapezoid ii) Kite
iii) Rhombus iv) Rectangle
Q.2 Solve any seven (Each 1 m) 7
1. Find the mean of the following numbers : 39,37,38,28,30,35,36.
2. If S = 4 cm, the total surface area of cube = _______________.
3. Find area of a square side = 8 cm.
4. Find the sum of the interior angles of polygon with 12 sides.
5. ∆ PQR ≅ ∆ DEF, then
i) ∠ P =
ii) PR=¿
6. Between each pair, place the correct sign. ( >, <, =)
i) 4 – 9
ii) 0 – 4
7. a
Solve - =9
3
8. Simplify - 85 ÷ 82=?
9. Multiply - 2 x3 ×3 x
Q.3 A) Show that ∆ CAB ≅ ∆ ZYX. 2
B) Write properties of square. 2
C) Construct a square whose side measures 6 cm. 2
D) Construct a rectangle whose side 4 cm. and one of its diagonal is 5 cm. 2
E) In the following figure; two angles of a quadrilateral have measures of x and 2x. If the remaining 2
angles measure 145o and 110o, what is the angle measure of the other two angles?
F) Observe the figure alongside ∆DEF ≅ ∆ XYX 2
i) Find the name of corresponding verticles.
ii) Find the name of corresponding sides.
Q.4 Solve any Ten (Each 2 m) 20
1. If 10 calculators cost Rs. 1250. How much will 8 calculators cost?
2. The average of six numbers is 10. Five of the number are 12, 9, 11, 13 and 8. What is the sixth
number?
3. Solve for ‘x’
50% of x = 90
4. Express as decimals
ex. 279 %
5. At what rate percent per annum will a sum of money triple itself in 8 years?
6. An item priced at Rs. 55/- is sold at a discount of 25%. What is its selling price?
7. Add –
( 14 x 2 +13 x+ 18 ) +(15 x 2 +11 x+ 5)
8. Rearrange the formula
5(f −32)
c= to make F the subject.
9
() ()
9. 5 3 −3
7 2 3
7
× × ¿
4 7 4
10 Expand using formula.
.
( ( a+b )2 =a2 +2 ab+b 2 )
ex. (2 n+9)2
11 Solve the following equation.
. ex. 6m + 18 = 27
12 Solve – Eighty – Four more than a number is one hundred thirty – two. What is the number?
.
Q.5 Solve any six (each 3 marks) 18
1. Plot the following points on a graph paper.
(a) – 3, – 4 (b) 4, 1
(c) –5, 2
2. Represent the following relations.
a) By arrow diagram
b) Find the domain are range
{(-5, -1), (-7, -1) (-4, 3) (8, -7) (2, -5) (6, -4)}
3. If the length of a rectangle is 13.2 cm. and the area 85.8 cm2, what is the width of the rectangle?
What is its perimeter?
4. A box has length 8 cm breadth 3 cm and height = 4 cm Find.
i) Its total surface area
ii) Its volume
5. The following are the height in cm of a group of 10 students.
145 154 160 158 165
138 162 155 148 159
a) What is the heights of the shortest student?
b) What is the range?
c) What is the mean height of the students?
6. The cost of a watch is Rs. 2400/-. THe profit is one third of the cost price (i) What is the profit?
(ii) What is the selling price iii) What is the profit percent?
7. Create a bar graph to represent the data.
Daily routine
Daily Activity No. of Hours taken
Sleep 8
School 7
Eat 1
Study 4
Play 2
Q.6 Solve any two (Each 4 m) 8
1. Construct pie chart from the following data.
Sachin Spent his birthday money of Rs. 600/- as following
Item Games Clothes Books Food
Amount Rs. 150/- Rs. 200/- Rs. 100/- Rs. 150/-
2. In the adjoining figure find the area of the shaded part.
3. Simplify the following.
( 14 x − 23 x + 56 x− 125 )+( 127 x − 56 x − 29 x− 31 )
3 2 3 2
