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VARDAAN LEARNING INSTITUTE

MOCK TEST SERIES - 03 (2025-26)
CLASS: VIII SUBJECT: MATHEMATICS
TIME: 3 HOURS MAX. MARKS: 80
General Instructions:
  1. This question paper contains 38 questions. All questions are compulsory.
  2. This question paper is divided into Five Sections: A, B, C, D and E.
  3. Section A comprises 20 MCQs of 1 mark each.
  4. Section B comprises 5 Questions of 2 marks each.
  5. Section C comprises 6 Questions of 3 marks each.
  6. Section D comprises 4 Questions of 5 marks each.
  7. Section E comprises 3 Case-Based Questions of 4 marks each.
  8. There is no overall choice. However, an internal choice has been provided in selected questions.
  9. Use of calculators is not permitted.
SECTION A (20 MARKS)
1.
The value of (2-1 × 5-1)-1 ÷ 4-1 is:
(a) 40 (b) 1/40 (c) 10 (d) 50
1
2.
How many non-square numbers lie between the squares of 25 and 26?
(a) 50 (b) 51 (c) 49 (d) 52
1
3.
The one's digit of the cube root of the number 175616 is:
(a) 4 (b) 6 (c) 2 (d) 8
1
4.
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
(a) 20 (b) 22 (c) 24 (d) 25
1
5.
The Marked Price of an article is ₹1200 and a discount of 15% is allowed. The Selling Price is:
(a) ₹1000 (b) ₹1050 (c) ₹1020 (d) ₹1080
1
6.
For a given principal P, rate R% p.a., and time n years, the compound interest compounded half-yearly is calculated using the amount formula:
(a) A = P(1 + R/100)n (b) A = P(1 + R/200)2n (c) A = P(1 + R/100)2n (d) A = P(1 + R/200)n
1
7.
The factors of p2 - 10p + 25 are:
(a) (p + 5)2 (b) (p - 5)2 (c) (p - 5)(p + 5) (d) (p - 25)(p - 1)
1
8.
What is the degree of the polynomial 7x3 - 5x2 + 8x - 2?
(a) 1 (b) 2 (c) 3 (d) 4
1
9.
The solution of the equation 5x - 3 = 3x - 5 is:
(a) 1 (b) -1 (c) 2 (d) -2
1
10.
Two adjacent angles of a parallelogram are in the ratio 4:5. The angles are:
(a) 80°, 100° (b) 40°, 50° (c) 70°, 110° (d) 90°, 90°
1
11.
Which of the following quadrilaterals has diagonals that are perpendicular bisectors of each other?
(a) Rectangle (b) Parallelogram (c) Rhombus (d) Trapezium
1
12.
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
(a) 6 (b) 7 (c) 8 (d) 9
1
13.
The coordinates of a point lying on the y-axis at a distance of 5 units from the origin are:
(a) (5, 0) (b) (0, 5) (c) (5, 5) (d) (0, 0)
1
14.
If each edge of a cube is doubled, its volume becomes:
(a) 2 times (b) 4 times (c) 6 times (d) 8 times
1
15.
In a throw of a die, the probability of getting an even prime number is:
(a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
1
16.
If x - 1/x = 5, then the value of x2 + 1/x2 is:
(a) 25 (b) 27 (c) 23 (d) 10
1
17.
The standard form of 0.000000625 is:
(a) 6.25 × 10-7 (b) 6.25 × 10-6 (c) 62.5 × 10-7 (d) 0.625 × 10-8
1
18.
What is the multiplicative inverse of -3/7?
(a) 3/7 (b) 7/3 (c) -7/3 (d) 1
1
19.
The sum of interior angles of a pentagon is:
(a) 360° (b) 540° (c) 720° (d) 180°
1
20.
The range of the data: 10, 15, 25, 5, 20, 30 is:
(a) 20 (b) 5 (c) 30 (d) 25
1
SECTION B (10 MARKS)
21.
Simplify and find the value of x if: (3/5)-3 × (3/5)-6 = (3/5)2x - 1.
2
22.
A jacket was sold for ₹1120 after allowing a discount of 20%. Find the marked price of the jacket.
2
23.
Solve the following linear equation:
m - (m - 1)/2 = 1 - (m - 2)/3
2
24.
In the given figure, ABCD is a parallelogram. Find the values of x, y and z.
(Given: Angle B = 100°, Angle DAC = 40°, Angle CAB = z, Angle D = x, Angle ACD = y)
2
25.
Find the smallest square number that is divisible by each of the numbers 4, 9, and 10.
2
SECTION C (18 MARKS)
26.
Calculate the amount and compound interest on ₹10,800 for 3 years at 12 ½% per annum compounded annually.
3
27.
Factorise the following expressions:
(i) x2 + 6x + 8
(ii) q2 - 10q + 21
3
28.
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
OR
6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?
3
29.
The curved surface area of a right circular cylinder is 4400 cm2 and the circumference of its base is 110 cm. Find the height and volume of the cylinder.
3
30.
Divide the polynomial 44(x4 - 5x3 - 24x2) by 11x(x - 8).
3
31.
RENT is a rectangle. Its diagonals meet at O. Find x if OR = 2x + 4 and OT = 3x + 1. Explain your reasoning.
3
SECTION D (20 MARKS)
32.
The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. Find the original number.
OR
Arjun is twice as old as Shriya. Five years ago his age was three times Shriya's age. Find their present ages.
5
33.
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.
(i) Find the population in 2001.
(ii) What would be its population in 2005?
(iii) Explain the concept of depreciation with an example.
5
34.
Using suitable algebraic identities, evaluate the following:
(i) 9982
(ii) 103 × 104
(iii) Simplify: (a + b)(a - b)(a2 + b2)(a4 + b4)
5
35.
A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m. (Take π = 22/7).
5
SECTION E: CASE BASED QUESTIONS (12 MARKS)
36.
Case Study 1: Painting a Hall
A cuboidal hall has dimensions 15 m long, 10 m wide, and 7 m high. The owner decides to paint the four walls and the ceiling of the hall. Each can of paint covers 100 m2 of area.
Based on the above information, answer the following:
(i) Find the area of the four walls (Lateral Surface Area). (1)
(ii) Find the total area to be painted (excluding the floor). (1)
(iii) How many cans of paint will be needed to paint the hall? (2)
4
37.
Case Study 2: Survey Analysis
A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining Pie Chart shows the findings. Pie Chart of Music Preferences
Study the pie chart and answer the following:
(i) If 20 people liked Classical music, how many young people were surveyed? (1)
(ii) Which type of music is liked by the maximum number of people? (1)
(iii) If a cassette company were to make 1000 CDs, how many of Folk Music would they make? (2)
4
38.
Case Study 3: Courier Service Graph
The following graph shows the journey of a courier person who cycles from a town to a neighbouring suburban area to deliver a parcel. Graph of Courier Service Journey
Observe the graph and answer the following questions:
(i) What is the scale taken for the time axis? (1)
(ii) How much time did the person take for the travel? (1)
(iii) Did the person stop on his way? Explain. (2)
4
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