Class 8 – Mathematics Question Paper
Time: 3 Hours Maximum Marks: 80
Section A – MCQs (1 × 10 = 10 Marks)
1. The additive inverse of −7/9 is:
a) 7/9
b) −7/9
c) 9/7
d) 0
2. 2³ × 2⁴ =
a) 2⁷
b) 4⁷
c) 2¹²
d) 2¹
3. The HCF of 36 and 54 is:
a) 6
b) 9
c) 12
d) 18
4. (a + b)² =
a) a² + b²
b) a² + 2ab + b²
c) a² − 2ab + b²
d) 2a² + 2b²
5. Profit % =
a) (Profit/SP) × 100
b) (Profit/CP) × 100
c) (CP/SP) × 100
d) (SP/CP) × 100
6. A quadrilateral with one pair of parallel sides is a:
a) Parallelogram
b) Rhombus
c) Trapezium
d) Rectangle
7. Area of trapezium =
a) ½ × base × height
b) ½ × (sum of parallel sides) × height
c) length × breadth
d) side²
8. Volume of cube of side a =
a) 3a
b) a²
c) a³
d) 6a²
9. Probability of a sure event is:
a) 0
b) 1
c) 1/2
d) 2
10. Total angle of a circle in pie chart is:
a) 90°
b) 180°
c) 360°
d) 270°
Section B – Fill in the Blanks (1 × 10 = 10 Marks)
1. Reciprocal of 5/8 is ________.
2. 10⁻² = ________.
3. (a − b)² = ________.
4. LCM of two numbers is always ________ or equal to the numbers.
5. If CP = ₹800 and SP = ₹750, there is a ________.
6. Opposite sides of a parallelogram are ________.
7. Surface area of cuboid = ________.
8. Graph of linear equation in one variable is a ________.
9. Sum of interior angles of quadrilateral is ________.
10. Probability lies between ________ and ________.
Section C – Very Short Answer Questions (2 × 5 = 10 Marks)
1. Find: 3/5 + (−7/10)
2. Simplify: (3x)(4x²)
3. Find the compound interest on ₹1000 for 1 year at 10% per annum.
4. Find area of trapezium with parallel sides 10 cm and 6 cm, height 5 cm.
5. Find probability of getting an even number when a die is thrown.
Section D – Short Answer Questions (3 × 5 = 15 Marks)
1. Factorize: x² − 9
2. Divide: 6x³ ÷ 2x
3. A shirt costs ₹1200 and is sold at 15% profit. Find SP.
4. Find total surface area of cube of side 7 cm.
5. Draw a pie chart for:
Study – 4 hours
Play – 2 hours
Sleep – 8 hours
Others – 10 hours
Section E – Long Answer Questions (5 × 4 = 20 Marks)
1. Simplify using identities:
(2x + 3)² − (2x − 3)²
2. Find compound interest on ₹5000 at 8% per annum for 2 years.
3. Marks obtained by students:
| Marks | 10 | 20 | 30 | 40 | 50 |
| Students | 2 | 5 | 8 | 3 | 2 |
(a) Find mean
(b) Represent data by bar graph
4. A cylinder has radius 7 cm and height 10 cm.
(a) Find curved surface area
(b) Find volume
Section F – Constructions (2 × 5 = 10 Marks)
1. Construct quadrilateral ABCD where:
AB = 5 cm, BC = 4 cm, CD = 6 cm, DA = 5 cm, diagonal AC = 7 cm
2. Construct a regular hexagon of side 4 cm.
Section G – HOTS (1 × 5 = 5 Marks)
1. A rectangular field is 50 m long and 40 m wide. A path of 5 m width is built outside all around it. Find the area of the path.
