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The coefficients of $ab$ in $2a^{3}b$ and $2a^2{b}^4$ respectively are:

A scooter was bought at $Rs.42000$ and its value depreciated at the rate of $8\%$ per annum. Find its value after one year.

A student
multiplied 7236 by 65 instead of multiplying by 56. By how much was
his answer greater than the correct answer? (Hint: Do you need to do
both the multiplications?)

The radius of a circle is $k$ times its diameter, where $k=$

Question 3 (iii)

The relative humidity (in %) of a certain city for a month of 30 days was as follows:

$$\begin{array}{cccccccccc}98.1& 98.6& 99.2& 90.3& 86.5& 95.3& 92.9& 96.3& 94.2& 95.1\\ 89.2& 92.3& 97.1& 93.5& 92.7& 95.1& 97.2& 93.3& 95.2& 97.3\\ 96.2& 92.1& 84.9& 90.2& 95.7& 98.3& 97.3& 96.1& 92.1& 89\end{array}$$

(iii) What is the range of this data?

A cube is painted blue on two adjacent faces. It is painted brown on the faces opposite to blue faces and yellow on the remaining faces. After being cut into sixty-four smaller cubes of equal size, what is the fraction of the cubes which have exactly one face painted blue?

The general form of 456 is

A. (4 × 100) + (5 × 10) + (6 × 1)

B. (4 × 100) + (6 × 10) + (5 × 1)

C. (5 × 100) + (4 × 10) + (6 × 1)

D. (6 × 100) + (5 × 10) + (4 × 1)

By what number should we multiply $4^{-3}$ so that the product may be equal to 64?

Question 71

A running track has 2 semi-circular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.

Find the least natural number larger than 100 which leaves the remainder 12 when divided by 19

A monomial multiplied by a monomial never gives a ________.

An image which can be taken on a screen

A flask weight 64.27g when empty and 150.35g when full of water. Find its weight when a) it is half full of water.

B) 0.75 times full of water

The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in $m^2$? $[Assume\pi =\frac{22}{7}]$

Factorise Completely : $4a^2-12ab+9b^2+4a-6b$

Question 9.

There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

What will be the equation of straight line passing from point $(-2,3)$, having slope of $2$?

Ravi has purchased a vehicle at Rs.60,000. He sold it at a price $30\%$ less than its value to Amit. Amit spent $5\%$ of the amount he purchased in repairs. Find the percentage decrease in the price of the vehicle, including the repair price also.

Which of the following number is divisible by 99?

The number of triangles whose vertices are at vertices of octagon but none of whose sides happen to come from the sides of octagon

Solve each of the following cryptarithms.
$\begin{array}{cc}3& 7\\ +A& B\\ 9& A\end{array}$

Question 84(iv)

Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow.



Which is greater, number of children who spend 2 hours or more per day or number of children who play for less than one hour?

An isosceles right angled triangle is inscribed in the circle $x^2+y^2=r^2.$ If the coordinates of an end of the hypotenuse are (a, b), the coordinates of the vertex are

Question 34

In the following question, fill in the blanks to make the statements true.

The multiplicative inverse of ${10}^{10}$ is ___

Arif took a loan of Rs
80,000 from a bank. If the rate of interest is 10% per annum, find
the difference in amounts he would be paying after
years
if the interest is

(i) Compounded annually

(ii) Compounded half
yearly

What are the remainders when a perfect cube is divided by 7?

What is meant by the interior of a closed curve?

Hasan
buys two kinds of cloth materials for school uniforms, shirt material
that costs him Rs 50 per metre and trouser material that costs him Rs
90 per metre. For every 2 meters of the trouser material he buys 3
metres of the shirt material. He sells the materials at 12% and 10%
profit respectively. His total sale is Rs 36660. How much trouser
material did he buy?

Question 4(b)

Complete the table and by inspection of the table find the solution to the equation 5t = 35.

$\begin{array}{ccccccccccccccc}t& 3& 4& 5& 6& 7& 8& 9& 10& 11& \dots & \cdots & \dots & \dots & \cdots \\ 5t& \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \end{array}$