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(i) How much more than $2x^2+4xy+2y^{2}is5x^2+10xy-y^2?$

(ii) How much less than $2a^2+1isthan3a^2-6?$

The scores of $7$ students have been recorded, of which the scores of two students are unknown. The data so obtained is recorded as follows:





If the mean of their scores is $25$, then what will be the sum of scores of George and Max?

Which of the following is an isosceles trapezium?

Radha made a picture of an aeroplane with coloured papers as shown in the given figure. Find the total area of the paper used.

How many zeros are there in 10⁴ × 10³ × 10² × 10?

In Fig. PQRS is a quadrilateral in which diagonals PR and QS intersect in O. [4 MARKS]



Show that:

(i) PQ + QR + RS + SP $>$PR + QS

(ii) PQ + QR + RS + SP $<$2 (PR + QS)

Find the linear equation(s) which satisfies/ satisfy the given ordered pair: $(2,5)$

Rearrange the given decimals in ascending order.
$5+\frac{5}{10},\frac{75}{10},3+\frac{36}{10},\frac{79}{10}$

Question 50

___surface area of room = Area of 4 walls.

There is/are ___ perfect square/squares between 50 and 70.

Question 84 (vi)

Simplify

$(2.5m+1.5q{)}^2+(2.5m-1.5q{)}^2$

In March rohan's monthly expenditure was90% of his monthly income. His monthly income increased by 30% and his monthly expenditure increased by 20% when compared to the previous month. Find the percentage increase in his monthly savings.

Question 1(v)

Use a suitable identity to get each of the following products:

(1.1m – 0.4 ) (1.1m + 0.4 )

Donald purchased 9 kg 600 g of apples and packed 4 kg 100 g and 3 kg 300 g of apples in two separate packs for his friends. What quantity of apples did he keep for himself?

The given bar graph shows the number of students of class VIII present on each day of a certain week. How much is the attendance on Friday?

If the difference between a 3-digit number egf and the number obtained by reversing its digits is divided by 33, then the quotient and remainder respectively will be:

Solve:

Let $A(2,3,5),B(-1,3,2),C(\lambda ,5,\mu )$ are the vertices of a triangle and its median through $A,AD$ is equally inclined to the coordinate axes. Projection of $\text{AB on BC is:}$

Question 13

In the following question out of the four options only one is correct, write the correct answer.

The digit in the ten's place of a two-digit number is 3 more than the digit in the unit's place. Let the digit at unit's place be b. Then, the number is:

(a)11b + 30

(b) 10b + 30

(c) 11b + 3

(d) 10b + 3

If SP = Rs 475 and discount is 5% then CP is:

If the following numbers are represented on a number line, which number will be the rightmost?

5.6, -3, 0.5, 3

If X = $\{8^n-7n-1:n\in N\}andY=\left\{49\right(n-1):n\in N\}$ ,

then

Identify the quotient when you divide 45 by 7.

Let ABC be a triangle and P be an interior point. Prove that AB + BC + CA < 2(PA + PB + PC).

Which of the following given set is in direct proportion?

Question 1(iii)

State whether the number given below is a perfect cube or not:

1000

The usual form of $f\times 100+d\times 10+e$ is ___.

Find compound interest on ₹ 8000 at 15$\%$ per annum for 2 years 4 months, compounded annually.

The mean of 6 numbers is 27 and the mean of first 4 numbers is 24. Find the fifth number, given that the sixth number is 30.

Simplify and solve the linear equation

If the vertex angle of an isosceles triangle is 50°, find the other angles.

On dividing $\left(72p^2{q}^3\right)\left(r\right)$ by $24p{q}^2$, we get