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1. 1

In the given figure, ABCD is a cyclic quadrilateral in which $\angle BAD={120}^{\circ }$. Find $\angle BCD$.

Question 140 (iv)

The pieces of Tangrams have been rearranged to make the given shape.

By observing the given shape, answer the following questions.
Check that the sum of all the percentages calculated above should be 100.

In each of
the following pairs of numbers, state which whole number is on the
left of the other number on the number line. Also write them with the
appropriate sign (>, <) between them.

(a) 530,
503 (b) 370, 307

(c) 98765,
56789 (d) 9830415, 10023001

If the bisector of the vertical angel of a triangle bisects the base, show that the triangle is isosceles.

Three taps $A,B,$ and $C$ can fill an overhead tank in $6$ hours, $8$ hours, and $12$ hours respectively. How long would the three taps take to fill the empty tank, if all of them are opened together?

Which of the following numbers are divisible by 11?

1. 5632

2. 49621

3. 1253

4. 9812

1. 2.81

A can do a piece of work in 10 days, B in 12 days and C in 15 days. All begin together but A leaves the work after 2 days and B leaves 3 days before the work is finished. How long did the work last?

65² = 6 x 7 x _____ + 5²

Which of the following is not a factor of 9042?

Number of faces in a triangular prism is:

The square root of 4.2025 is

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

Fix up your own coordinate system on a graph paper and locate the following points on the sheet:

(i) P(−3, 5); (ii) Q(0, −8); (iii) R(4, 0); (iv) S(−4, −9)

Is an equilateral triangle a regular polygon? Why? [2 MARKS]

If A = $A=\{x\in W:5<x<10\},B=\{3,4,5,6,7\}andC=\{x=2n;n\in Nandn\le 4\}$. Find :

(i) $A\cap (B\cup C)$

(ii) $(B\cup A)\cap (B\cup C)$
(iii) $B\cup (A\cap C)$
(iv) $(A\cap B)\cup (A\cap C)$

Name the sets which are equal

If $(a-b)=7$ and $ab=9$ then $(a^2+b^2)=?$
(a) 67
(b) 31
(c) 40
(d) 58

Which among the following represents the total surface area of the right circular cylinder?

Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 5.5 cm, CD = 5 cm, $\angle B={125}^{\circ }$ and $\angle C={80}^{\circ }$ [2 MARKS]

Direction(1-4): Read the following information carefully and answer the following questions that follow:

Mr. Sharma, a truck driver drives his truck every day. He travels a different distance by his truck on each day.

The pie chart given below shows the percentage of distance travelled on a particular day (one out of Monday to Friday) out of the total distance that he travelled in the five days (Monday-Friday) of a particular week.

Total distance travelled by the truck = 2000 Km

The table given below shows the average speed (in km/hr) of Mr. Sharma's truck on the five weekdays. Some of the data is missing.

Find the difference between the time taken (in hrs) by the truck on Tuesday and Monday if the speed of the trucks on these days were in the ratio 13 : 11.

The sales price of a television inclusive of VAT is Rs. 13,500. If VAT is charged at the rate of $8\%$ of the list price, find the list price of the television.

The number of sides in a polygon is always a/an

Raju earns ₹ 34000 per month. He spends $\frac{1}{4}th$ of his income on food, $\frac{3}{10}th$ of the remainder on house rent and $\frac{5}{21}th$ of the remainder on education of children. How much money is still left with him?

The value of ${}^{2021}{\text{C}}_{2020}$ is

If a cuboid with height $\left(4y\right)\text{cm}$ and breadth $\left(2x\right)\text{cm}$ has the volume equal to $8x^3{y}^3{\text{cm}}^3$, then the length of the cuboid. is:

Construct a right angle triangle ABC in which ∠B = 90°, AB = 5 cm and AC = 7 cm.

From the bar graph shown below, find how many workers are of age 18 years or below?

If $x={\left(\frac{-2}{5}\right)}^{30}÷{\left(\frac{5}{-2}\right)}^{-28}$ and $y={\left(\frac{-2}{5}\right)}^2\times {\left(\frac{-2}{5}\right)}^3$, then find the value of $(x^3÷y{)}^2$.

If $4^x$ = 64, then