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Solve the following problems:

The cost of 5 kites is Rs.25 Find the cost of 25 kites.

Which of the given objects has the shortest circumference?

Sort the given numbers in ascending order (Highest number comes at the top).

Match the lengths (L) and breadths (B) of the following rectangles with their respective areas (A):

Factorise $2a^7-128a$

The shopkeeper shows a bill of ₹ 551.50. He says there is a discount of 10%. What is the approximate amount that I should pay?

Two identical cubes each of total surface area of $6c{m}^2$ are joined end to end. Which of the following is the total surface area of the cuboid so formed?

An article was purchased for Rs.1056, after getting the discount of 12%. What is the ratio of the discount for the original price?

Jackson got a capsule shaped object. The dimensions of this object are represented as follows:





What will be the surface area of this object?

Factorise:
$9+6z+z^2$

Pair of congruent triangles and incomplete statements related to them are given below. Observe the figures carefully and fill up the blanks:

(a) In the adjoining figure if ∠C = ∠F, then AB = ---------- and BC = ----------.

(b) In the adjoining figure if BC = EF, then ∠C = --------- and ∠A = ----------.

(c) In the adjoining figure, if AC = CE and ΔABC ≅ ΔDEC, then ∠D = -------- and ∠A = ---------.

Draw a number line and answer the following:

Which number will we reach if we move 5 numbers to the left of 1?

What is the measure of any exterior angle of a regular nonagon?

Simplify:

(i) (ii) (iii)

(iv)

If in the $△$'s ABC and DEF, $\angle$A is equal to $\angle$E, both are equal to ${40}^{\circ }$. AB : ED = AC : EF and angle F is ${65}^{\circ }$, then angle B is:

Question 2

Construct the Quadrilateral JUMP where

JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Ramu borrowed $Rs.15625$ from a finance company to buy a scooter. If the rate of interest be $16\%$ per annum compounded annually, what payment he will have to make after $2\frac{1}{4}$ years?

Find the cube root of 4096 .

Construct a triangle ABC whose perimeter is 12 cm and the angles are in the ratio 2:3:5.

Question 78

State whether the following statement is true or false:

Cube of an odd number is even.

Twelve typists, all working with same speed, type a certain number of pages in 18 days working 8 hours a day. Find, how many hours per day must sixteen typists work in order to type the same number of pages in 9 days?

Find the square root of the following decimal numbers:

31.36

Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will be used = ___
( π = 3.14)

Identify the terms, their co-efficients for each of the following expressions:

(i) $7x^{2}yz-5xy$ (ii) $x^2+x+1$ (iii) $3x^2{y}^2-5x^2{y}^2{z}^2+z^2$

(iv) $9-ab+bc-ca$ (v) $\frac{a}{2}+\frac{b}{2}-ab$ (vi) $0.2x-0.3xy+0.5y$

During his initial days of stay in Earth 2, Bill had got his accommodation with “1/5” and “1/2” in “House of Rational Numbers, Q”. Having located these occupants, he wanted to locate other occupants satisfying the following conditions:

1. They lie between 1/5 and 1/2.

2. They have a denominator 10.

Which of the following occupants satisfy these properties?

The
area of a trapezium is 34 cm²
and the length of one of the parallel sides is 10 cm and its height
is 4 cm. Find the length of the other parallel side.

Question 1(ii)

Evaluate:

$(-4{)}^{-2}$

If 5A5 is 3-digit number divisible by 9, then find the value of digit A.

A person shades two circles as shown below.

Combining both of them together, parts of a circle are shaded by him altogether.

Mukund has a set of 52 playing cards. He removed 13 playing cards. What fraction of cards is remaining?