Question The length of a rectangular field is twice its breadth.
Jamal jogged around
it four times and covered a distance of 6km. What is the length of the
field?
Type multiple_choice
Option 500 m incorrect
Option 1000 m correct
Option 1500 m incorrect
Option 2000 m incorrect
Solution
Marks 2 0
Question Length of a rectangular field is 250m and width is 150m. Anuradha runs
around this field 3 times. How far did she run? How many times she should
run around the field to cover a distance of 4km?
Type multiple_choice
Option 2.4 km and 5 times incorrect
Option 2.4 km and 4 times correct
Option 4.8 km and 5 times incorrect
Option 4.8 km and 4 times incorrect
Solution
Marks 2 0
Question Bajinder runs ten times around a square track and covers 4km. Find the
length
Type multiple_choice
Option 100 m incorrect
Option 200 m correct
Option 400 m incorrect
Option 50 m incorrect
Solution
Marks 2 0
Question The lawn in front of Molly's house is 12mx 8m, whereas the lawn in front
of Dolly`s house is 15m×5m. A bamboo fencing is built around both the
lawns. How much fencing is required for both?
Type multiple_choice
Option 40 m incorrect
Option 80 m correct
Option 76 m incorrect
Option 38 m incorrect
Solution
Marks 2 0
Question The perimeter of a regular pentagon is 1540cm. How long is its each side?
Type multiple_choice
Option 308 cm incorrect
Option 7700 cm correct
Option 154 cm incorrect
Option 508 cm incorrect
Solution
Marks 2 0
Question The perimeter of a triangle is 28cm. One of it's sides is 8cm. Write all the
sides of the possible isosceles triangles with these measurements.
Type multiple_choice
Option 8 cm, 10 cm, 10 cm incorrect
Option 8 cm, 12 cm, 12 cm correct
Option 8 cm, 8 cm, 12 cm incorrect
Option Both A and C incorrect
Solution
Marks 2 0
Question Base of a tent is a regular hexagon of perimeter 60cm. What is the length
of each side of the base?
Type multiple_choice
Option 15 cm incorrect
Option 10 cm correct
Option 12 cm incorrect
Option 6 cm incorrect
Solution
Marks 2 0
Question In the below figure, all triangles are equilateral and AB 8 units. Other
triangles have been formed by taking the mid points of the sides. What is
the perimeter of the figure?
Type multiple_choice
Option 24 units correct
Option 32 units incorrect
Option 40 units incorrect
Option 48 units incorrect
Solution
Marks 2 0
Question The length of an aluminium strip is 40cm. If the lengths in cm are measured
in natural numbers, write the measurement of all the possible rectangular
frames which can be made out of it. (For example, a rectangular frame with
15cm length and 5cm breadth can be made from this strip.)
Type multiple_choice
Option 13 frames incorrect
Option 10 frames correct
Option 5 frames incorrect
Option 7 frames incorrect
Solution
Marks 2 0
Question In an exhibition hall, there are 24 display boards each of length 1m 50cm
and breadth Im. There is a 100m long aluminium strip, which is used to
frame these boards. How many boards will be framed using this strip? Find
also the length of the aluminium strip required for the remaining boards.
Type multiple_choice
Option 16 boards, 16 m incorrect
Option 12 boards, 24 m incorrect
Option 15 boards, 18 m correct
Option 18 boards, 12 m incorrect
Solution
Marks 2 0
Question In the above question, how many square metres of cloth is required to cover
all the display boards? What will be the length in m of the cloth used, if its
breadth is 120cm?
Type multiple_choice
Option 18 sq m, 15 m incorrect
Option 36 sq m, 30 m incorrect
Option 54 sq m, 45 m correct
Option 24 sq m, 20 m incorrect
Solution
Marks 2 0
Question Length of a rectangular field is 6 times its breadth. If the length of the field
is 120cm, find the breadth and perimeter of the field.
Type multiple_choice
Option Breadth: 20 cm, Perimeter: 280 correct
cm
Option Breadth: 12 cm, Perimeter: 264 incorrect
cm
Option Breadth: 20 cm, Perimeter: 140 incorrect
cm
Option Breadth: 12 cm, Perimeter: 132 incorrect
cm
Solution
Marks 2 0
Question Anmol has a chart paper of measure 90cm x 40cm, whereas Abhishek has
one which measures 50cm x 70cm. Which will cover more area on the table
and by how much?
Type multiple_choice
Option Anmol, by 100 sq cm incorrect
Option Abhishek, by 100 sq cm correct
Option Anmol, by 400 sq cm incorrect
Option Abhishek, by 400 sq cm incorrect
Solution
Marks 2 0
Question A rectangular path of 60m length and 3m width is covered by square tiles
of side 25cm. How many tiles will there be in one row along its width?
How many such rows will be there? Find the number of tiles used to make
this path?
Type multiple_choice
Option 12 tiles in a row, 240 rows, correct
2880 tiles
Option 10 tiles in a row, 240 rows, incorrect
2400 tiles
Option 12 tiles in a row, 200 rows, incorrect
2400 tiles
Option 10 tiles in a row, 200 rows, incorrect
2000 tiles
Solution
Marks 2 0
Question How many square slabs each with side 90cm are needed to cover a floor of
area 81sqm.
Type multiple_choice
Option 100 slabs correct
Option 10 slabs incorrect
Option 1000 slabs incorrect
Option 10000 slabs incorrect
Solution
Marks 2 0
Question The length of a rectangular field is 8m and breadth is 2m. If a square field
has the same perimeter as this rectangular field, find which field has the
greater area
Type multiple_choice
Option Square field, by 16 sq m incorrect
Option Square field, by 10 sq m incorrect
Option Square field, by 1 sq m correct
Option Rectangular field, by 1 sq m incorrect
Solution
Marks 2 0
Question Parmindar walks around a square park once and covers 800m. What will be
the area of this park?
Type multiple_choice
Option 1600 sq m incorrect
Option 400 sq m incorrect
Option 640000 sq m incorrect
Option 40000 sq m correct
Solution
Marks 2 0
Question The side of a square is 5cm. How many times does the area increase, if the
side of the square is doubled?
Type multiple_choice
Option 2 times incorrect
Option 3 times incorrect
Option 4 times correct
Option 5 times incorrect
Solution
Marks 2 0
Question Amita wants to make rectangular cards measuring 8cm x 5cm. She has a
square chart paper of side 60cm. How many complete cards can she make
from this chart? What area of the chart paper will be left?
Type multiple_choice
Option 90 cards, 600 sq cm left incorrect
Option 90 cards, 300 sq cm left correct
Option 75 cards, 0 sq cm left incorrect
Option 75 cards, 600 sq cm left incorrect
Solution
Marks 2 0
Question A wire is cut into several small pieces. Each of the small pieces is bent into
a square of side 2cm. If the total area of the small squares is 28 square cm,
what was the original length of the wire?
Type multiple_choice
Option 28 cm incorrect
Option 56 cm correct
Option 14 cm incorrect
Option 32 cm incorrect
Solution
Marks 2 0
Question Perimeter of a square and a rectangle is same. If a side of the square is
15cm and one side of the rectangle is 18cm, find the area of the rectangle.
Type multiple_choice
Option 150 sq cm incorrect
Option 216 sq cm correct
Option 250 sq cm incorrect
Option 240 sq cm incorrect
Solution
Marks 2 0
Question Three squares are joined together as shown in below figure. Their sides
are 4 cm, 10cm and 3cm. Find the perimeter of the figure.
Type multiple_choice
Option 34 cm incorrect
Option 68 cm correct
Option 50 cm incorrect
Option 52 cm incorrect
Solution
Marks 2 0
Question A magazine charges Rs 300 per 10sqcm area for advertising. A company
decided to order a half page advertisment. If each page of the magazine is
15cm x 24cm, what amount will the company has to pay for it?
Type multiple_choice
Option Rs 5400 correct
Option Rs 10800 incorrect
Option Rs 2700 incorrect
Option Rs 1350 incorrect
Solution
Marks 2 0
Question The perimeter of a square garden is 48m. A small flower bed covers 18sqm
area inside this garden. What is the area of the garden that is not covered
by the flower bed? What fractional part of the garden is covered by the
flower bed? Find the ratio of the area covered by the flower bed and the
remaining area.
Type multiple_choice
Option 126 sq m, 1/8, 1:7 correct
Option 126 sq m, 1/7, 1:6 incorrect
Option 144 sq m, 1/8, 1:7 incorrect
Option 144 sq m, 1/7, 1:6 incorrect
Solution
Marks 2 0
Question Divide the park shown in Fig. 6.17 of question 40 into two rectangles. Find
the total area of this park. If one packet of fertilizer is used for 300sqm,
how many packets of fertilizer are required for the whole park?
Type multiple_choice
Option 25000 sq m, 85 packets incorrect
Option 15000 sq m, 50 packets correct
Option 16000 sq m, 54 packets incorrect
Option 11000 sq m, 37 packets incorrect
Solution
Marks 2 0
Question The area of a rectangular field is 1600sqm. If the length of the field is 80m,
find the perimeter of the field
Type multiple_choice
Option 60 m incorrect
Option 200 m incorrect
Option 220 m incorrect
Option 240 m correct
Solution
Marks 2 0
Question The area of each square on a chess board is 4sqcm. Find the area of the
board. (a) At the beginning of game when all the chess men are put on the
board, write area of the squares left unoccupied. (b) Find the area of the
squares occupied by chess men
Type multiple_choice
Option Area of board: 256 sq. cm; correct
Unoccupied area: 128 sq.cm
Option Area of board: 196 sq. cm; incorrect
Unoccupied area: 98 sq. cm
Option Area of board: 256 sq. cm; incorrect
Unoccupied area: 164 sq. cm
Option Area of board: 225 sq. cm; incorrect
Unoccupied area: 112 sq. cm
Solution
Marks 2 0
Question (a) Find all the possible dimensions (in natural numbers) of a rectangle with
a perimeter 36cm and find their areas.
(b) Find all the possible dimensions (in natural numbers) of a rectangle
with an area of 36sqcm, and find their perimeters
Type multiple_choice
Option (16 cm, 2 cm) Area: 32 sq. cm incorrect
Option (10 cm, 8 cm) Area: 80 sq. cm incorrect
Option (14 cm, 4 cm) Area: 56 sq. cm incorrect
Option All of the above are possible correct
dimensions
Solution
Marks 2 0
Question A wire is in the shape of a square of side 10 cm. If the wire is rebent into a
rectangle of length 12 cm, find its breadth. Which encloses more area, the
square or the rectangle?
Type multiple_choice
Option The square correct
Option The rectangle incorrect
Option The areas are equal incorrect
Option Cannot be determined incorrect
Solution
Marks 2 0
Question The area of a square and a rectangle are equal. If the side of the square is 40
cm and the breadth of the rectangle is 25 cm, find the length of the
rectangle. Also, find the perimeter of the rectangle.
Type multiple_choice
Option Length: 64 cm; Perimeter: 178 correct
cm
Option Length: 64 cm; Perimeter: 180 incorrect
cm
Option Length: 60 cm; Perimeter: 170 incorrect
cm
Option Length: 55 cm; Perimeter: 160 incorrect
cm
Solution
Marks 2 0
Question The length and the breadth of a rectangular piece of land are 500 m and
300 m respectively. Find (i) its area (ii) the cost of the land, if 1 m2 of the
land costs Rs 10,000.
Type multiple_choice
Option Area: 150,000 sq. m; Cost: correct
₹1,500,000,000
Option Area: 150,000 sq. m; Cost: incorrect
₹150,000,000
Option Area: 1,500 sq. m; Cost: incorrect
₹15,000,000
Option Area: 15,000 sq. m; Cost: incorrect
₹150,000,000
Solution
Marks 2 0
Question Find the breadth of a rectangular plot of land, if its area is 440 m2 and the
length is 22 m. Also find its perimeter
Type multiple_choice
Option Breadth: 20 m; Perimeter: 84 m incorrect
Option Breadth: 20 m; Perimeter: 80 m correct
Option Breadth: 22 m; Perimeter: 88 m incorrect
Option Breadth: 18 m; Perimeter: 80 m incorrect
Solution
Marks 2 0
Question The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find
its breadth. Also find the area.
Type multiple_choice
Option 15 cm correct
Option 20 cm incorrect
Option 25 cm incorrect
Option 30 cm incorrect
Solution
Marks 2 0
Question What will happen to the area of a rectangle if (i) its length is doubled and
breadth is trebled (ii) its length and breadth are doubled?
Type multiple_choice
Option (i) Area becomes 6 times; (ii) correct
Area becomes 4 times
Option (i) Area becomes 5 times; (ii) incorrect
Area becomes 2 times
Option (i) Area becomes 3 times; (ii) incorrect
Area becomes 4 times
Option (i) Area becomes 6 times; (ii) incorrect
Area becomes 2 times
Solution
Marks 2 0
Question What will happen to the area of a square if its side is (i) doubled (ii)
halved?
Type multiple_choice
Option (i) Area becomes 4 times; (ii) correct
Area becomes 1/4th
Option (i) Area becomes 2 times; (ii) incorrect
Area becomes 1/2
Option (i) Area becomes 4 times; (ii) incorrect
Area becomes 1/2
Option (i) Area becomes 2 times; (ii) incorrect
Area becomes 1/4th
Solution
Marks 2 0
Question Find the perimeter of a rectangular field whose length is four times its
width and which has an area equal to 30976 cm².
Type multiple_choice
Option 900 cm incorrect
Option 980 cm incorrect
Option 984 cm correct
Option 960 cm incorrect
Solution
Marks 2 0
