Model Questions Paper-5 Class-8 ML Aggarwal Solutions

Model Questions Paper-5 Class-8 ML Aggarwal ICSE Mathematics Solutions. APC Understanding Mathematics for ICSE Class-8 Model Question Paper-5 Solutions based on Chapter-14 to 18. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics.

Model Questions Paper-5 Class-8 ML Aggarwal Solutions

( based on chapter-14 to 18)

Time Allowed-1 hour

max mark-25


Note

  • Questions 1-2 carry 1 mark each
  • Questions 3-5 carry 2 marks each
  • Questions 6-8 carry 3 marks each
  • Questions 9-10 carry 4 marks each.

 Paper-5 Class-8 ML Aggarwal

Choose the correct answer from the given four options (1-2):
Question 1.
In a pentagonal pyramid number of faces, vertices and edges are
(a) F = 6, V = 6, E = 10
(b) F = 7, V = 7, E = 12
(c) F = 6, V = 8, E = 12
(d) none of these.

Answer

In pentagonal pyramid
F = 6, V = 6, E = 10 (a)

Question 2.
If the lateral surface area of a cube is 144 cm , then its volume is
(a) 36cm3
(b) 216 cm3
(c) 288 cm3
(d) none of these

Answer

Lateral surface area of a cube = 144 cm
∴ Edge = \sqrt{\frac{144}{4}}=\sqrt{36} = 6 cm
and volume = (Edge)3 = (6)3 cm= 6 × 6 × 6 = 216 cm3 (b)

Question 3.
Draw the top, front and side views of the given solid.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 1

Answer

ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 2

Question 4.
The area of a trapezium is 96 cm2. If the lengths of its two parallel sides are 14 cm and 10 cm, then find the perpendicular distance between parallel sides.

Answer

Area of a trapezium = 96 cm2
Lengths of two parallel sides are 14 cm and 10 cm
Then perpendicular distance
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 3

Question 5.
In the given figure, C is the centre of the circle. The tangent to the circle of radius 6 cm from a point P outside the circle is of length 8 cm. Find the distance of the point P from the farthest point of the circumference.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 4

Answer

C is the centre of the circle
Radius of the circle = 6 cm
and length of tangent PT = 8 cm
∵ CT is radius and PT is the tangent
∴ CT ⊥ PT at T Now in right ∆PTC
PC2 = PT2 + TC2 (Pythagoras Theorem)
= 82 + 62 = 64 + 36 = 100 = (10)2
∴ PC = 10 cm

Question 6.
Construct a quadrilateral PQRS in which PQ = 5.5 cm, RS = 6.5 cm, PS = 4.4 cm, PR = 6.5 cm and QS = 7.1 cm.

Answer

Steps of construction :
(i) Draw a line segment SP = 4.4 cm.
(ii) With centre S and radius 6.5 cm and P with radius 6.5 cm,
draw arcs intersecting each other at R.
(iii) Join RS and RP.
(iv) Again with centre S and radius 7.1 cm and P with radius 5.5 cm
draw arcs intersecting each other at Q.
(v) Join QS and QP.
(vi) Join RQ also.
PQRS is the required quadrilateral.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 5

Question 7.
The length, breadth and height of cuboidal water tank is 7 m, 6 m and 2 m respectively. If 4200 litre of water is pumped out from the tank. Find the fall in water level in the tank.

Answer

Length of a cuboidal tank (l) = 7 m
Breadth (b) = 6m
and height (h) = 2 m
∴ Volume = Ibh = 7 × 6 × 2 = 84 m2
Capacity of water = 84 × 1000 litres = 84000 litres
4200 litres of water in pumped out
∴ \frac{4200}{1000} = 4.2 m3 of volume is pumped out
∴ Level will fall = \frac{4.2}{l \times b}=\frac{4.2}{7 \times 6}=\frac{4.2}{42}
\frac{1}{10} m = 10 cm

Question 8.
Construct a rhombus PQRS such that PQ = 5.4 cm and ∠P = 60°. Also draw its lines of symmetry.

Answer

Steps of construction :
(i) Draw a line segment PQ = 5.4 cm.
(ii) At P, draw a ray PX making an angle of 60°
and cut off PS = 5.4 cm.
(iii) With centre Q and S, and radius 5.4 cm,
draw arcs intersecting each other at R.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 6
(iv) Join QR and SR.
PQSR is the required rhombus.
Rhombus has 2 lines of symmetry.
The diagonals of the rhombus are the two line of symmetry.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 7

Question 9.
A road roller has a diameter 84 cm and its width is 1.2 m. If it takes 500 complete revolutions to level a playground. Find the area of the playground. Also, find the cost of levelling the playground at a rate of 50 paise per m2.

Answer

Diameter of roal roller = 84 cm
∴ Radius (r) = \frac{84}{2} = 42 cm
Width (h)= 1.2 m = 120 cm
∴ Curved surface area = 2πrh
= 2 × \frac{22}{7} × 42 × 120 cm2
= 31680 cm2
Area covered in 500 revolutions = 31680 × 500 cm2
\frac{31680 \times 500}{100 \times 100} m2 = 1584 m2
∴ Area of playground = 1584 m2

Question 10.

Construct a rectangle ABCD, such that AB = 6.4 cm and BD = 7.6 cm.

Answer

Steps of construction :
(i) Draw a line segment AB = 6.4 cm.
(ii) At A draw a ray AX making an angle of 90°.
(iii) With centre B and radius 7.6 cm,
draw an arc which intersects AX at D.
(iv) Join BD.
(v) With centre A and radius 7.6 cm
and B with a radius equal to AD
draw arcs which intersect each other at C.
(vi) Join AC and BC.
(vii) Join DC also.
ABCD is the required rectangle.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5 8

 

– : End of Model Question Paper-5 Solved Class-8 ML Aggarwal Solutions  :–

 

Return to –   ML Aggarwal Maths Solutions for ICSE Class -8

 


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