1.
³√5 is an irrational number as well as a surd. State true or false.
2.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
3.
Fill in the blanks: Compound interest for nth year is equal to the simple interest on the amount of …………the year?
4.
What kind of an angle subtended by a minor arc in its alternate segment?
5.
The discriminant of the equation x2 – 7x + 2 = 0 is
6.
The area of a triangle is 108 cm². If the base is 13.5 cm, then find its corresponding height.
7.
What is the smallest positive irrational number?
8.
Can a regular polygon have an exterior angle equal to 50°? Why or why not?
9.
In logarithms, which of the given options is true?
10.
Find the quadratic equations whose zeroes are −½ and ⅔.
11.
ab = ba but b ≠ a, then find a + b.
12.
In a cyclic quadrilateral PQRS, PS = PQ, RS = RQ and ∠PSQ = 2∠QSR, then find ∠QSR.
13.
√X is a perfect square. Which of the following is/are true?
14.
For what value of K is 16x² + 24xy + K a perfect square?
15.
Two cubes are with edge 'n' cm are joined together to form a cuboid. Find the ratio of the surface area of two cubes to the surface area of the cuboid.
16.
Which of the following is true for every rational number?
17.
2a = 4b = 8c = 64. Find a² + b² + c².
18.
Y is an integer satisfying -3 ≤ 4Y – 7 ≤ 5. How many such values are possible?
19.
What are common measures of central tendency?
20.
The product of two irrational numbers can be a rational number.
