case /data -based (4 Marks)

Question 14 Marks

Given below is a piece of cardboard.

$1.$ What is its area$?$
$2.$ Jatin placed another cardboard of same size along the $12\ cm$ long edge.
What is the perimeter of the combined shape$?$

Answer

$9. 80\ cm^2$
$10. 64\ cm$
$68\ cm$

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Question 24 Marks

Given below is the map of a society park.

The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
$1.$ What is the perimeter of grass patch $1?$
$A. 191\ m$
$B. 382\ m$
$C. 800\ m$
$D. 1528\ m$
$2. $What is the area of the running and jogging path$?$
$A. 3519\ m^2$
$B. 3600\ m^2$
$C. 8495.25 \ m^2$
$D. 37,500\ m^2$
$3.$ Two sitting benches are installed in the grass patches. The seat of each bench is of the length $1.2 m$ and width $0.7 m.$ How much area $($in $m^2)$ is reserved for sitting in the park$?$
$A. 0.84$
$B. 1.68$
$C. 3.36$
$D. 6.72$
$4.$ The patch $2$ is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular area. What is the area in which the tulips are planted?
$A. 2831.75\ m^2$
$B. 4247.625\ m^2$
$C. 8495.25\ m^2$
$D. 18,750\ m^2$
$5.$ Inside the grass patch $4,$ lily lowers are planted to make a $1.25 m$ wide bed. The length of the bed is same as the length of the patch. What is the area $($in $m^2$ covered by lillies$)?$
$A. 88.125$
$B. 150.625$
$C. 243.5$
$D. 8645.875$
$6.$ Swings are installed for kids at the centre of grass patch $3.$ The area reserved for the swings is square in shape with a width of $40\ m.$ What is the remaining area of grass patch 3 after the swing installation$?$
$7$. One room in Joseph’s house has a circular glass roof. The diameter of the roof is $2.8\ m. $ What is the area of the glass roof?
$8.$ The circular frame of the glass roof is made of wire. What is the length of the wire$?$
$A. 6.16\ m$
$B. 8.8\ m$
$C. 17.6\ m$
$D. 12.32\ m$

Answer

$1. B. 382 \ m$
$2. A. 3519 \ m^2$
$3. D. 6.72$
$4. B. 4247.625 \ m^2$
$5. A. 88.125$
$6. 6895.25 \ m^2$
$7. 6.16 \ m^2$
$6.154 \ m^2$
$1.96π \ m^2$
$8. B. 8.8 \ m$

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Question 34 Marks

Given below is the map of a society park.

The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
1. Inside the grass patch 4, lily lowers are planted to make a 1.25 m wide bed. The length of the bed is same as the length of the patch. What is the area (in m² covered by lillies)?
A. 88.125
B. 150.625
C. 243.5
D. 8645.875

2. Swings are installed for kids at the centre of grass patch 3. The area reserved for the swings is square in shape with a width of 40 m. What is the remaining area of grass patch 3 after the swing installation?

3. One room in Joseph’s house has a circular glass roof. The diameter of the roof is 2.8 m. What is the area of the glass roof?

4. The circular frame of the glass roof is made of wire. What is the length of the wire?
A. 6.16 m
B. 8.8 m
C. 17.6 m
D. 12.32 m

Answer

5. A. 88.125
6. 6895.25 m²
7. 6.16 m² 6.154 m² 1.96π m²
8. B. 8.8 m

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Maths case /data -based (4 Marks)

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