8th Grade Maths Coaching Examination 2024-2025 PDF

**Name..............................** ***[SOME IMPORTANT QUESTIONS ]*** ***[COACHING EXAMINATION (2024 -- 25)]*** ***[CLASS -- 8^TH^ Mathematics] M.M. :- 50*** **SECTION ( A ) Each carry 2 Marks** **Q.1 Solve the Questions -- (Any 8)** Q.1 Simplify: \(i) (-- 4)^5^ × (-- 4)^-10^ (ii) (2^5^ ÷...

**Name..............................** ***[SOME IMPORTANT QUESTIONS ]*** ***[COACHING EXAMINATION (2024 -- 25)]*** ***[CLASS -- 8^TH^ Mathematics] M.M. :- 50*** **SECTION ( A ) Each carry 2 Marks** **Q.1 Solve the Questions -- (Any 8)** Q.1 Simplify: \(i) (-- 4)^5^ × (-- 4)^-10^ (ii) (2^5^ ÷ 2^8^ )^5^ × 2^--\ 5^ Q.2 Find the value of m so that (--3)^m\ +\ 1^ × (--3)^5^ = (--3)^7^ Q.3 Find the value of: **(i) ** [× t ^--\ 4^] **(ii) (**2**^5^ ÷** 2^8^)^5^ [ ] × 2^--\ 5^ 5 ^--\ 3^ × 10 × t ^--\ 8^ Q.4 Factorise: \(i) 6xy -- 4y + 6 -- 9x (ii) 15xy -- 6x + 5y -- 2 Q.5 Find the factors of: \(i) y^2^ --7y +12 (ii) 3m^2^ + 9m + 6. Q.6 Factorise the following expressions. \(i) 16x^5^ -- 144x^3^ (ii) (a + b)^2^ -- 4ab Q.7 Divide as directed. \(i) 10y(6y + 21) ÷ 5(2y + 7) (ii) 9x^2^ y^2^ (3z -- 24) ÷ 27xy (z -- 8) Q.8 The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area. Q.9 The area of a rhombus is 240 cm^2^ and one of the diagonals is 16 cm. Find the other diagonal. Q.10 The area of a trapezium shaped field is 480 m^2^ , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side. **SECTION ( B ) Each carry 3 Marks** **Q.2 Solve the Questions -- (Any 5)** **Q.1** Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m^2^ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river. **Q.2** Find the height of the cylinder whose volume is 1.54 m^3^ and diameter of the base is 140 cm? **Q.3** (a) Simplify 3x (4x -- 5) + 3 and find its values for (i) x = 3 (ii) x = 2. \(b) Simplify a (a 2 + a + 1) + 5 and find its value for (i) a = 0 (ii) a = 1 (iii) a = --1. **Q.4** Find the side of a cube whose surface area is 600 cm^2^. **Q.5** Factorise the expressions and divide them as directed: \(i) 4yz(z^2^ + 6z -- 16) ÷ 2y(z + 8) (ii) 20(y + 4) (y^2^ + 5y + 3) ÷ 5(y + 4) **Q.6 Solve --** **(i)** 15(y -- 4) --2(y -- 9) + 5(y + 6) = 0 **(ii)** 0.0000000000942 **(iii)** p^2^ + 6p + 8 **(iv)** 6020000000000000 **Q.7 Find the square root of each of the following numbers by Long Division Method --** **(i)** 99856 **(ii)** 390625 **(iii)** 27225