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If the cost of $5\frac{2}{5}$ litres of milk is ₹$101\frac{1}{4}$, find the cost per litre.

Count the number of squares in the given figure.

If ∝, β, γ ∈ R, then the determinant

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

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

Choose the correct table for five ordered pairs which satisfy the equation $y=2x+1$.

What will be the value of $x$ if $\frac{x+1}{x+4}=\frac{2}{3}$, where $x\ne -4?$

Which of the following decimals are equal?

One of your classmates observed that a rectangle was made of four lines and a pentagon by five lines and wanted to know which shape would be obtained if the number of sides were increased to infinity. Which shape would this be?

Question 7 (iii)

Simplify these expressions and find their values if
x = 3, a = -1, b = -2:
3a + 5 - 8a + 1

Fill in the blanks with >, < or = sign:

45 – (–11) ___ 57 + (–4)

Question 92

Lemons were bought at Rs. 48 per dozen and sold at the rate of Rs. 40 per 10. Find the gain or loss per cent.

1. -56

1. 50

Question 65

Fill in the blanks to make the statement true.

In the given figure, $\Delta PQR\cong \Delta$ ___

Auto's in Bangalore have a fixed charge of Rs. 25 for first 2 km and then an additional charge of Rs. 13 per additional km. If $x$ represents the distance travelled, the expression for total charge is

क्या तुम्हें भी कोई चिढ़ाता है? तब तुम्हें कैसा लगता है? कक्षा में चर्चा करो।

Question 6

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.

Represent
the following numbers on a number line:

(a) + 5 (b) − 10 (c) + 8

(d) − 1 (e) − 6

The bar graph shown represents the number of chocolates that Neeraj ate last week.

Which day did he eat the most number of chocolates?

Find the area of this figure.

Which of the following expressions are polynomials?

(i) $x^2+4+y^3$

(ii) $4-x^{-1}+z^3$

(iii) $2x^2-\frac{2}{x}$

If Devarsh paints 4 walls in 2 2/3 hours.then the number of similar walls he can paint in 2 hours

Solve the following.

10 men can construct a 75km road in 5 days. In how many days can 15 men construct 45km road?

For reaction $A\to B$ and $P\to Q$ Arrhenius constants are ${10}^{10}$ and ${10}^{12}$ respectively. If $E_{A\to B}=800$ cal/ mole and $E_{P\to Q}=1400$ cal/mole, then find the temperature at which their rate constant are same.

(Given : $R=2{\text{cal mol}}^{-1}{\text{K}}^{-1})$

Is the figure below a polygon? [2 MARKS]

Question 69

If P = -(x - 2), Q = -2(y + 1) and R = -x + 2y, find a, when P+Q+R = ax.

Solve the following problems:

Food grains in a hostel lasts for 30 days for 10 persons. How long does it last for 25 persons?

Consider
this data collected from a survey of a colony.

(i) Draw a double bar graph choosing an appropriate scale. What do
you infer from the bar graph?

(ii) Which
sport is most popular?

(iii) Which
is more preferred, watching or participating in sports?

Write these as you read them.

(1) 2³

(2) 3⁵

(3) 6⁷

(4) 10¹⁰

(5) (−2)⁵

(6)

(7) (3²)²

(8) 4×3²

(9) (7³)⁵

(10) (−3)⁷