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Question 31

Zero has ___ reciprocal.

At simple interest a sum becomes $\frac{49}{40}$ of itself in $2\frac{1}{2}$ years. The rate of interest per annum is
(a) $7\%$
(b) $8\%$
(c) $12\%$
(d) $9\%$

The probability of getting at least one tail, when four coins are tossed is .

Question 29

Fill in the blanks to make the statement true.

In integer, 4x - 1 = 8 has ................ solution.

Find the reciprocal of $\frac{2}{7}\times \frac{1}{5}.$

Consider the figure:

If BC = AC, x = 2y, and $\angle ACB$ = 60^o, then find the value of $\angle$A + $\angle$B + $x$ + $y$ (in degrees).

Calculate the total length of the bus in meters.

When you subtract 10 from thrice the number, the results was 17.Find the unknown number? [2 MARKS]

The area of a square is 16 cm². What will be the area of a rectangle whose length is double the side of the square and width is half of the side of the square?

Question 3

In the given figure, $\angle B$ < $\angle A$ and $\angle C$ < $\angle D$. Show that AD < BC.

The point of intersection of angle bisectors is called the ______.

In the figure given below, angle A and angle B are _________.

What is (a + b)/c if a = 3, b = 2 and c = 5?

Find the L.C.M. of

(a) 10, 12

(b) 30, 46

Question 104

Many schools have a recommended students teachers ratio as 35:1.

Next year, school expects an increase in enrollment by 280 students.

How many new teachers will they appoint to maintain the students -teachers ratio?

Which of the following is the lowest form of $\frac{9}{6}$?

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ \text{Sp when CP = Rs.50 and profit = Rs.4}& \text{H.}& 250\%\end{array}$

Who gave the law of rotational symmetry?

$\frac{15}{25}$is equivalent to ____.

Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Then which of the following options is correct?

If one angle of a triangle is equal to the sum of the other two, show that the triangle is right angled.

What is 7 x 3/5?

A ray OC is constructed on the line segment AB such that ∠BOC is x${}^{\circ }$. What will ∠AOC be?

-$3\frac{1}{2}-4\frac{1}{2}$ = ______

Question 1 (vii)
Without actually performing the long division, state whether $\frac{129}{2^2\times 5^7\times 7^5}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Insert one of the following >, <, =

(-3) - (-4) ____ (-4) + (-3)

The corners of a solid shape are called its _________; the line segments of its skeleton are called its ___________; and its flat surfaces are its ________. The respective blanks should be filled by:

Which of the following pairs of terms is a pair of unlike terms?

On reaching the other end of the circle Ray realized that he had taken a wrong path and he had to follow another triangular path in order to reach the man. The lengths (in cm) of the triangular path are as shown below. The perimeter of the triangular path is:

Question 94

Solve the following:

The sum of four consecutive integers is 266. What are the integers?