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(a) Arrange the rational numbers $\frac{-7}{10}$, $\frac{5}{-8}$, $\frac{2}{-3}$ in ascending order.

(b) Arrange the rational numbers $\frac{4}{3}$, $\frac{17}{2}$, $\frac{5}{18}$ in ascending order.

[4 MARKS]

The value of the determinant

Which of the following numbers have exactly 12 factors?

A ray OC & OD is constructed on the line segment AB such that ∠AOD = 40${}^{\circ }$ and ∠COD = 80${}^{\circ }$ and ∠BOC = x${}^{\circ }$ . What will ∠BOC be?

Convert 1.25 to fraction which is in its simplest form.

Pick the greater fraction.

What is the H.C.F of 25 and 65?

In the figure, sides $QP$ and $RQ$ of $△PQR$ are produced to points $S$ and $T,$ respectively. If $\angle SPR={135}^{\circ }$ and $\angle PQT={110}^{\circ }$, find $\angle PRQ.$

A ___ is a geometrical figure that has no dimension.

ABC is a triangle in which AB = AC. The base BC is produced to D. If $\angle$ACD = ${130}^{\circ }$, then $\angle$A = ___.

Question 34
The number of common prime factors of 75, 60, 105 is

(A) 2
(B) 3
(C) 4
(D) 5

How many 3 digit numbers are there?

If you have two ${30}^{\circ }$- ${60}^{\circ }$ - ${90}^{\circ }$ set squares, which of the following shapes is impossible to make using them?

Question 1

Write the following as number in the given table:

$\begin{array}{cccc}Hundreds& Tens& Ones& Tenths\\ \left(100\right)& \left(10\right)& \left(1\right)& \left(\frac{1}{10}\right)\\ & & & \\ & & & \end{array}$

Question 77.
Using the digits 2, 4, 5 and 3 once, write the smallest four digit decimal number.

There are 40 animals in a zoo out of which 10 animals have been recently admitted from another zoo. What is the fraction of the animals which are old?

Cost of 20 envelopes is fifty rupees. How many envelopes can be purchased for 10 rupees?

John ordered a pizza and ate $\frac{2}{3}$ of the pizza. Also, he gave $\frac{1}{6}$ of the whole pizza to his sister. Then what part of the pizza is left with John?

Good afternoon mam/sir

I am Harshita and my query is:

Find the least number which is exactly divisible by 14,21,24 and 42.

Thank you

Which of the following shows the prime factorisation of greatest 4 –digit number?

1. 5

Find the 202^nd digit from the right in the product of 4! x 5! x 6!...............71!?

Numbers such as 3 and -3, 2 and -2, when added to each other give the sum zero, are called _______ of each other.

What must be subtracted from $x^3-3x^2+5x-1$ to get $2x^3+x^2-4x+2$ ?

Each interior angle of a regular polygon is 160^o. The number of sides of the polygon is

In the given figure, $\angle COE={90}^o$. Find the value of x.

Suppose you have to walk for 2.87 km to attend a party at your friend's home. If you have already walked for 1500 m, how many more kilometers do you have to go?

Ram distributed all the chocolates he had among his friends. He is left with ___ chocolates. If we include the number representing the number of chocolates left with him to a set of natural numbers then we get a set of ________.

Question 85

Bisect a straight angle, using ruler and compass. Measure each part.

Identify the quotient when you divide 45 by 7.

The location of coordinates A and B in the form (x, y) are (___,___) and (___,___) respectively.

Question 52

The perimeter of a square garden is 48 m. A small flower bed covers 18 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? Find the ratio of the area covered by the flower bed and the remaining area.

(a) The profits of a soft drink firm during certain months of a year are given alongside. Draw a Bar graph. [4 MARKS]

$\begin{array}{cc}\text{Months}& \text{Profits (in thousands)}\\ \text{January}& 2.4\\ \text{February}& 1.8\\ \text{March}& 3.0\\ \text{April}& 4.0\\ \text{May}& 5.2\\ \text{June}& 4.0\\ \text{July}& 2.0\end{array}$

(b) The following bar graph shows the number of men and women visiting a sports complex. Can you spot the day when the number of men was equal to the number of women and on which day is the number of women 20 more than the number of men?

Question 3 (b)

Write the following decimal in the place value table:

2.08

Fill in the blank with greater than, less than, or equal to.

(-3) - (-4) ___ (-4) + (-3)

1. 20

Neha wants to estimate the product of 293 and 724. What would be the BEST way to do so?

What is the meaning of -6 if +2 means two blocks north?

Which options represent the following situation as an equation?

Khushboo had some money(x). Her brother gave her Rs.10. Now she has 30 rupees.

The value of $\frac{3}{4}\times \frac{5}{6}$ is

Question 21

Kanta has p pencils in her box. She puts q more pencils in the box. The total number of pencils with her are

(a) p + q

(b) pq

(c) p - q

(d) $\frac{p}{q}$

The mean and median of the numbers 1, 2, 3, 4, y, 8, 9, 10, 12 and x written in increasing order are both 10, then the values of x and y are:

Why are 7x11x13+13 and 7x6x5x4x3x2x1+5 composite

Given below is a pattern made using squares. Observe the pattern and find the number of squares in the next figure in the sequence. Also find the general form which represents the number of squares in the sequence.