CLASS 10 GENERAL MATHS IMPORTANT QUESTIONS
PRACTICE
PAPER
GENERAL MATHEMATICS
CLASS-10(SEBA BOARD-with Revised Course)
Class 10 SEBA General Science Important Questions pdf for Pre-final 2022
1. Use Euclid’s algorithm to find the HCF of 4052
and 12576.
2. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants to stack
them in such a way that each stack has the same number, and they take up the least
area of the tray. What is the number of that can be placed in each stack for
this purpose?
3. Show that any positive odd integer is of the form
6q + 1, or 6q + 3, or 6q + 5, where q is some integer.
4. Show that 5 – √3 is irrational.
5. Find the zeroes of the polynomial x2 – 3
and verify the relationship between the zeroes and the coefficients.
Also check: NCERT Class 10 Science Notes on Electricity
6. Find the zeroes of the quadratic polynomials 4s2 – 4s + 1 and verify the relationship between the zeroes and the coefficients.
7. The coach of a cricket team buys 3 bats and 6 balls for 3900.
Later, she buys another bat and 3 more balls of the same kind for 1300. Represent
this situation algebraically and geometrically.
8. Find the roots of the quadratic equation 6x2 – x –
2 = 0.
9. Find two consecutive positive integers, sum of whose squares is 365.
10. How many two-digit numbers are divisible by 3?
11. Diagonals AC and BD of a
trapezium ABCD with AB || DC intersect each other at the point O. Using a
similarity criterion for two triangles, show that OA/OC
12. Show that the points (1,
7), (4, 2), (–1, –1) and (– 4, 4) are the vertices of a square.
13. If (1, 2), (4, y), (x, 6)
and (3, 5) are the vertices of a parallelogram taken in order, find x and y.
14. Prove that: sec A (1 – sin
A)(sec A + tan A) = 1.
15. Prove that: (sin A + cosec A)2
+ (cos A + sec A)2 = 7 + tan2 A + cot2 A.
Class 10 SEBA General Science Important Questions pdf for Pre-final 2022
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