Full Syllabus Mock Test

A semicircle is what fraction of the full circle's area?

The area of a ring between two concentric circles of radii 14 cm and 7 cm (π = 22/7) is:

If a prime number p divides a², then:

The sequence of even natural numbers forms an AP with common difference:

The roots of x² − 7x + 12 = 0 are:

A circular coin of radius 1 cm rests touching a ruler's edge. The edge is a tangent, so the distance from the coin's centre to the edge is:

In a right triangle, the square of the hypotenuse equals:

The area of the minor segment of a circle of radius 14 cm cut off by a quarter (90°) sector (π = 22/7) is:

A conical heap of sand has base radius 12 m and height 5 m (π = 22/7). Its slant height is:

sin(90° − θ) equals:

A pizza of radius 14 cm is cut into 8 equal slices. The area of one slice (π = 22/7) is:

Two straight roads are tangents drawn from a junction P to a circular park. A visitor notes the two tangent paths to the park are:

Two fair coins are tossed together. The probability of getting two heads is:

The sum of the squares of the roots of x² − 5x + 6 = 0 is:

If α, β, γ are the zeroes of ax³ + bx² + cx + d, then α + β + γ equals:

For x² − kx + 4 = 0 to have equal roots, k equals:

A batsman scores 30, 45, 0, 60 and 15 in five innings. His mean score is:

The distance of the point (5, 12) from the origin is:

The graph of a quadratic polynomial that opens upward has a:

For x² + kx + 9 = 0 to have equal roots, k equals:

The area of a sector of angle 60° in a circle of radius 21 cm (π = 22/7) is:

The point (−3, 5) lies in which quadrant?

From an external point P, OP = 10 cm and the radius is 6 cm. The length of the tangent from P is:

A train covers a distance at a uniform speed. If the speed were 10 km/h more it would take 2 h less, and 10 km/h less it would take 3 h more. The distance is:

The points (3, 0), (6, 4) and (−1, 3) are the vertices of:

A shop sells shoes of sizes 6, 7, 7, 8, 7, 9 and 7. The modal size is:

A standard deck contains how many cards?

A circular flower bed of radius 14 m is to be turfed at ₹5 per m² (π = 22/7). The cost is:

Which statement is true?

A quadratic polynomial whose zeroes have sum 3 and product −10 is:

The length of the tangent from a point 25 cm from the centre of a circle of radius 7 cm is:

The angle in a semicircle is a right angle; this means a diameter subtends at the circumference an angle of:

A standard deck contains how many cards?

A right triangle has hypotenuse 13 cm and one leg 5 cm. The other leg is:

A firm's profit (in ₹ thousand) is P = −x² + 10x − 16. It breaks even (P = 0) when x equals:

The area of the triangle with vertices (1, 1), (2, 3) and (4, 5) is:

A right triangle has legs 6 cm and 8 cm. Its hypotenuse is:

If two solids have equal volumes but different shapes, then their surface areas are:

Which of these is always equal to 1?

The area of an equilateral triangle of side 6 cm is:

A tangent and a radius drawn to the point of contact are always:

The measure most affected by an extreme value is the:

Two tankers hold 850 L and 680 L. The largest measuring can that fills each an exact number of times holds:

Adding a constant to every observation leaves unchanged the:

The decimal expansion of 17/8 is:

A polynomial whose graph cuts the x-axis at exactly three points has:

If the circumference of a circle is 44 cm (π = 22/7), its radius is:

The value of cos 0° is:

The hypotenuse of a right triangle is 13 cm and one side is 7 cm more than the other. The shorter side is:

The product of the roots of 3x² − 6x + 2 = 0 is: