MEASUREMENT
1MARK QUESTIONS
I FILL IN THE BLANKS
1) The area of a trapezium is ____________
2) An isosceles trapezium is a trapezium
whose __________are equal.
3) The area of a trapezium whose sum of
parallel sides is 14cm and altitude is 4cm is
___________
4) The area of a trapezium is 120sq.cm. The
sum of its parallel sides is 12cm. Its height is ____________
5) The line segment that joins the centre
of a circle to any point on the circle is called ___________
6) A line segment joining any two points on
the circle is called _________
7) A chord passing through the centre is
called __________
8) All the radii of a circle are
____________
9) The diameter of a circle of radius 24m
is _________
10) The diameter divides the circle into
two equal parts. Each part is a _____________
11) The radius of a circle of a diameter
28m is ___________
12) The circumference of a circle with
radius 7m is _____________
13) The radius of a circle is 7cm.Its area
is _________
14) The radius of a circle is 5cm. Its area
is __________
15) If the radius of the outer circle is
10m and the width of the path is 2m, then the radius of the inner circle is
________
16) If the radius of the inner circle is
20m and width of the path is 3m, then the radius of the outer circle is ____________
17) The radii of two concentric circles are
10m and 8m. The width of the circular ring
inner radius is ____________
18) The outer radius is 4m and the inner
radius is 3m. Then the area of the ring portion is ________
19) Area of circular pathway is
________________
20) Area of rectangular pathway is
___________
21) The ratio of the circumference of a
circle to its diameter is ____________
22)
The arithmetic mean of first 5even numbers is_____________
23) The average marks of 7 students is 70, then
their total marks is ________
24) The median of 3,6,7,5,2 is ___________
25)The mode of 5,5,6,7,5,7,6 is
_____________
26) The median of 12,17,15,18,20,22 is ____________
27) The variable that occurs most
frequently in the given data is called the ______
28) The mean of first 3 prime numbers is
_________
29) The range of
56,48,58,60,54,76,84,92,82,98 is _____________
30) The difference between the largest and
the smallest value of the given values is called the ___________
31) The middle value of the given data is
_____
I MATCH THE FOLLOWING:
1)Sum of 3 angles of a triangle equilateral
triangle
2) 3cm,4cm,5cm obtuse
angled triangle
3) 40°, 30°,
90° one
obtuse angle
4) In a triangle each angle measures 60° 80°
5) 90°, 45°, 45° exterior
angle
6) 100°,50°,30° 2 acute angles
7) Each triangle must have at least right angled triangle
8) Each triangle cannot have more than a triangle can be formed
9) The third angle of a triangle whose two
angles 180°
measure
40°,60°
10) In a triangle the sum of the two
interior triangle cannot be
formed
opposite angles is
2MARK QUESTIONS
TRAPEZIUM
1) Find the area of a trapezium whose
altitudes and parallel sides are
i) altitude = 10cm, parallel sides = 4cm
and 6cm
ii) altitude = 12cm, parallel sides = 7.5cm
and 3.5cm
CIRCLE
2) Find the circumference of a circle whose
diameter is
i) 11.9cm ii)21cm
3) Find the circumference of a circle whose
radius is
i) 3.5cm ii)
1.75m
4) The diameter of a cart wheel is 4.2m.
Find the distance travelled when it completes 100 revolutions.
5) The diameter of a circular park is 98m.
Find the cost of fencing it at Rs.4 per metre.
6) A wire of length 176cm is bent to form a
circle. What is the radius of the circle?
7) The circumference of a circular field is
44m. A cow is tethered to a peg at the centre of the field. If the cow can
graze the entire field, find the length of the rope used to tie the cow.
8) Find the area of a circle whose
i) diameter is 14cm
ii) radius is 1.4cm
iii) radius is 42m
9) A goat is tethered by a rope 4.2m
long.Find the maximum area that the goat can graze.
10) Find the radius of the circle whose
area is
i) 616 sq.m ii0
154 sq.cm
RECTANGULAR PATHWAY
11) The length of a building is 20m and its
breadth is 10m. A path of width 1m is made all around it on the outside. Find
the length and breadth of the new rectangle formed.
12) The length and breadth of a room are
18m and 15m respectively. A red colour border of uniform width of 0.5m has been
painted all around on its inside. Find the length and breadth of the new
rectangle formed.
CIRCULAR PATHWAY
13) A circular flower garden has an area of
500sq.m. A sprinkler at the centre of the garden can cover an area that has
radius of 12m. Will the sprinkler water the entire garden?
14) Find the radii of two concentric
circles are 14cm and 7cm. Find
i) the area of the larger circle
ii) the area of the smaller circle
DATA HANDLING
1) Find the arithmetic mean of
i)37,48,42,23,25
ii) first 5 natural numbers
iii) first 6 multiples of 4
iv)first 5 prime numbers
2) Find the median of
i) 12,14,25,23,18,17,24,20
ii)3,4,5 5,3,6,7,2
iii)first 5 prime numbers
iv) 36,42,50,32,45
3) Find the mode of
i) 3,4,5,3,6,7
ii) 2,2,2,3,3,4,5,5,5,6,6,8
iii) 90,40,68,94,50,60
4) Two vessels contain 30l and 50l of milk
separately. What is the capacity of the vessels if both share the milk equally?
THEORETICAL GEOMETRY
1)Which of the following can form the
angles of a triangle?
i) 36°,44°,90° ii)70°,30°,80° iii)45°,45°,80°
2) Two angles of a triangle are given. Find
the third angle.
i) 70°,30° ii)85°,25° iii)65°,35°
3)Fins the value of unknown x in the
following diagram.
3MARK QUESTIONS
TRAPEZIUM
1) The length of the two parallel sides of
a trapezium are 17cm and 13cm. If its area is 300sq.cm, find the distance
between the parallel sides.
2) The parallel sides of a trapezium in the
form of a garden are 40m and 30m. If the area of the trapezium is 875sq.cm,
find the distance between the parallel sides.
3) The area of a trapezium is 102sq.cm and
its height is 12cm. If one of its parallel sides is 8cm, find the other side.
4) The area of a trapezium is 88sq.cm and
its height is 8cm. If one of its parallel side is 10cm, find the length of the
other side.
CIRCLE
5) Find the radius of a circle whose
circumference is i) 132cm ii) 4.4cm
6) A scooter wheel makes 50 revolutions to
cover a distance of 8800m. Find the radius of the wheel.
7) The radius of a cart wheel is 35cm. How
many revolutions does it make in travelling a distance of 132m?
8) The cost of fencing a circular park at the rate of Rs.5 per metre
is Rs.1100. What is the radius of the park?
9) The circumference of a circular park is
132m. Find the area of the park.
10) A silver wire when bent in the form of
a square encloses an area of 484sq.cm. If the same wire is bent in the form of
a circle, find the area of the circle.
11) When a man runs around a circular plot
of land 10 times, the distance covered by him is 264m. Find the area of the
plot.
12) A wire in the shape of a rectangle of
length 118m and width 80m is reshaped in the form of a circle. Find the radius
and area of the circle.
13) The diameter of a circular plot of
ground is 56m. Find the cost of levelling the ground at the rate of Rs.3 per
sq.m
14) A circle and a square each have a
perimeter of 352cm. Which has a larger area?
15) A wheel goes a distance of 2200m in 100
revolutions. Find the area of the wheel.
RECTANGULAR PATHWAY
16) A carpet measures 9m x 6m. A strip of
0.25m wide is cut off from it on all sides. Find the area of the remaining
carpet and also find the area of the strip cut out.
17) A garden is in the form of a rectangle
of dimension 30m x20m. A path of width 1.5m is laid all around the ground on
the outside at the rate of Rs.10 per sq.m. What is the total expense?
18) The outer length and breadth of a photo
frame is 80cm and 50cm. If the width of the frame is 3cm all around the photo,
what is the area of the oicture that will be visible?
19) A school play ground is rectangular in
shape with length 80m and breadth 60m. A cemented pathway running all around it
on its outside of width 2m is built. Find the cost of cementing at the rate of
Rs.20 per sq.m.
CIRCULAR PATHWAY
20) A circular well has a radius of 3m. If
a platform of uniform width 1.5m is laid around it, find the area of the
platform.
21) A circular field of radius 30m has a
circular path of width 3m inside the boundary. Find the area of the path.
22) A ring shapped metal plate has an
internal radius of 7cm and an external radius of 10.5cm. If the cost of
material is Rs.5 per sq.cm, find the cost of 25 rings.
23) A circus tent has a radius of 50m. The ring at the centre for performance
by artists is 20m in radius. Find the area left for the audience( π = 3.14)
DATA HANDLING
1) The marks in Mathematics of 10 students
are 56,48,58,60,54,76,84,92,82,98. Find the range and the average marks.
2) The weights of 5people are
72kg,48kg,51kg,69kg,67kg. Find the mean of their weight.
3) The maximum temperature in a city on 7
days of a certain week was 34.8◦C, 38.5◦C, 33.4◦C,
34.7◦C, 35.8◦C, 32.8◦C, 34.3◦C.
Find the mean temperature for the week.
4) The mean weight of 10 boys in a cricket
team is 65.5kg. What is the total weight of these boys?
5) Find the mean, median and mode of Rs.42, Rs.22, Rs.40, Rs.28,
Rs.23, Rs.26, Rs.43.
6) Find the mode of
16,15,15,14,12,16,15,13,12,17,14,16,15,15,16,12,13,14,15,16,13,13,14,14,15,15,
17,16,18,19
THEORETICAL GEOMETRY
1)Find x and y in the following diagrams
2) Three angles of a triangle are (x+5)°,
(x+10)° and (x+15)°. Find x.
3) Three angles of a triangle are (3x+5)°,
(x+20)° and(x+25)°. Find the measure of each angle.
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