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Leena bought pens which were 5 more than the number of pencils. The cost of one pencil be Rs. 2. And that of a pen be Rs 3. If Leena spent Rs. 65 to buy pens and pencils, then how many pencils did she buy?

Question 9

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:

$\begin{array}{cccccccc}2.6& 3.0& 3.7& 3.2& 2.2& 4.1& 3.5& 4.5\\ 3.5& 2.3& 3.2& 3.4& 3.8& 3.2& 4.6& 3.7\\ 2.5& 4.4& 3.4& 3.3& 2.9& 3.0& 4.3& 2.8\\ 3.5& 3.2& 3.9& 3.2& 3.2& 3.1& 3.7& 3.4\\ 4.6& 3.8& 3.2& 2.6& 3.5& 4.2& 2.9& 3.6\end{array}$

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2−2.5.

The following pie-chart shows how a Person's monthly salary is distributed over different expense heads:

Q26. The Percentage of money spent on clothes and savings is equal to which other single item of expense?

In $△$ABC, ∠ABC = 90${}^{\circ }$ ∠BAC = 45${}^{\circ }$ ∠ACB = 45${}^{\circ }$. What is this triangle called?

Choose the pair which forms a linear pair from the diagram given below.

Find the area of the 1.5 m wide pathways (green) if the length is twice of breadth which is equal to 6 m (in square cm).

Question 32

The number of days in 'W' weeks is ___ .

Write $6y^3-4y^8+2y^5-7y^9$ in standard form.

1. 12

Question 143

In the following pairs of triangles in below figures, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.

Which of the following figure is/are congruent to the given figure?

The adjacent angles of a parallelogram add upto

Find the product of the following:

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

Solve the following problems.

What is the amount of discount, if an article is bought at a discount of 20% on the marked price of Rs. 450?

Question 13

Write the denominator of rational number $\frac{257}{5000}$ in the form $2^m\times 5^n$, where m, n are non - negative integers. Hence, write its decimal expansion, without actual division.

Following is the data set obtained by measuring the weight of a particular object using different types of equipment.Find the mean of the weights.

10, 10.5, 11, 9.5

Question 123(iv)
Which of the following figure do not have line symmetry?

Ram goes 20 km towards North then takes about turn and then goes 45 km. Taking North direction as positive and south direction as negative, find the Ram's distance from the initial starting point? [3 MARKS]

Look at the adjoining figure, what is the order of rotational symmetry about point X?

The cost of 50 markers is ₹600. What will be the cost of 2 dozen markers?

Which of the terms given below is a like term to $-7a^5{b}^4$?

Emily made $10$ pieces of pizzas and put mushroom toppings on $9$ of them. What fraction of the pieces of pizzas have toppings now?

What are the coordinates of the point where the lines $x=-3$ and $y=4$ intersect?

A parallelogram in which all sides are equal is a ______.

Find the value y if m || n and l is the transversal.

${}^n{C}_{r-1}=330,{}^n{C}_r=462,{}^n{C}_{r+1}=462\Rightarrow r=$

The relation between the number of days(n), and the earnings(c), is plotted in the given graph. Which of the following table of data is plotted in the graph?

1. $\frac{36}{48}$


2. $\frac{39}{65}$


3. $\frac{105}{150}$

The school bus stops at a distance 22 km from the school while travelling to a picnic spot 55 km away. What percentage of distance is remaining for the bus to reach the picnic spot?

How do you write 0.46 as a fraction?

Find the areas of circles whose radii are

(1) 14 cm

(2) 21 cm

(3) 10.5 cm

(4) 3.5 cm

Statement $1$: It is possible to construct a triangle when measurements of two sides and one angle are given.

Statement $2$: It is possible to construct a triangle when measurements of two sides and included angle are given.

Choose the correct option.

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of its adjacent side).

Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of its adjacent side).

Pick the correct option.

Question 115(viii)

Express the following in standard form:

$Express5hectaresinc{m}^2.(1hec=10000m^2)$

Simplify: $36÷\left[\right(5–11)\times 2]+12–7$