BODMAS

Q.

Question 66

Solve the following:

1-(x-2)-[(x-3)-(x-1)]=0

Q.

Without simplifying the given expression state whether the given expression is an integer or not:
$68\times 12+\left[\right(-3)\times 68]+68.$
Also, find the additive inverse of the sum obtained.
[3 marks]

Q.

Solve this question $\frac{(-36)}{(-9)}$

Q.

Find the product:

$\frac{-6}{5}\times \frac{9}{11}$

Q.

Question 97

Match the items of Column I with that of Column II.

$\begin{array}{cccc}& ColumnI& & ColumnII\\ \left(i\right)& Thenumberofcornersofaquadrilaeral& \left(a\right)& =\\ \left(ii\right)& Thevariableintheequation2p+3=5& \left(b\right)& constant\\ \left(iii\right)& Thesolutionoftheequationx+2=3& \left(c\right)& +1\\ \left(iv\right)& solutionoftheequation2p+3=5& \left(d\right)& -1\\ \left(v\right)& Asignusedinanequation& \left(e\right)& p\\ & & \left(f\right)& x\end{array}$

Q.

Evaluate the following: $13÷\left[(-2)+1\right]$

Q.

Solve: $(128÷32)÷(-4)=$

1. $-1$

2. $2$

3. $-3$

4. $-4$

Q.

Question 3(a)
Fill in the blanks:
369 $÷$ ___ = 369

Q.

$\text{(abcabc)÷(abc)=\_\_\_\_}$

where, $\text{abc}$ represents any $3$ digit number.

Q.

Write the given number in expanded form: $750687.$

Q. What number should ${\left(\frac{-1}{5}\right)}^{-1}$ be multiplied so that the product may be equal to ${\left(\frac{-1}{5}\right)}^{-3}$

Q.

Calculate : $(\frac{2}{3}+\frac{5}{8})\times (\frac{4}{6}+\frac{7}{16})$

1. $\frac{1653}{1152}$

2. $\frac{1643}{1152}$

3. $\frac{1743}{1152}$

4. $\frac{1463}{1152}$

Q.

Question 8 :

Ila read 25 pages of a book containing 100 pages. Lalita read $\frac{2}{5}$ of the same book. Who read less?

Q.

Which of the following number when divided by -6 gives 12?

1. 72

2. -18

3. 84

4. -72

Q.

Question 3(f)
Fill in the blanks:
___ $÷$ 48 = - 1

Q.

Question 2(a)
Verify that $a÷(b+c)\ne (a÷b)+(a÷c)$ for each of the following values of a, b and c.
a = 12, b = - 4, c = 2

Q. Solve: $4+\frac{7}{8}.$

Q.

Question 10

Out of the four options, only one is correct. Write the correct answer.

$-b-0$ is equal to

$\left(a\right)-1\times b$
$\left(b\right)1-b-0$
$\left(c\right)0-(-1)\times b$
$\left(d\right)-b-0-1$

Q.

Subtract :- $15$ from $-20$

Q. Find the value of : $\frac{345}{-15}$

1. -23
2. 32
3. -32
4. 23

Q.

Find the product: $20\frac{1}{2}\times 19\frac{1}{2}$

Q. The fish in the pond below, carry some numbers. Choose any 4 pairs and carry out four multiplications with those numbers. Now, choose four other pairs and carry out divisions with these numbers.
For example,
1. (–13) × (–15) = 195
2. $\left(-24\right)÷9=\frac{-24}{9}-\frac{-8}{3}$

Q.

Question 70

Solve the following:

0.25(4x-5)=0.75x+8

Q. Multiply:
$\left(vi\right)$ $5.037$ by $8$

Q.

Question 3(iii)

Identify the operations used (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed:

2y +17 , 2y - 17

Q. Simplify: $(2^{20}÷2^{15})\times 2^3$

1. $2^4$
2. $2^2$
3. $2^{15}$
4. $2^8$

Q. Given that a, b and c are three consecutive multiples of 5, where $a,b,c>0$. Choose the correct option(s).

1. a + b + c = 15
2. b = a + 5
3. c = b + 5
4. a = c - 10

Q.

$15-[15-\{15-(15-15)\left\}\right]$ =

1. 15

2. -15

3. 0

4. -10

Q.

Question 3(i)

Identify the operations used (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.

z+1, z-1, y +17. y - 17

Q.

On simplification of $2\frac{1}{4}\text{of}\frac{4}{5}÷3\frac{1}{5}\text{of}\frac{9}{16}$, we get,

1. $1$

2. $\frac{81}{25}$

3. $\frac{25}{81}$

4. $0$