Question

Q1.If a and b are two rational numbers, then
(a) (a+b)/2< a
(b) (a+b)/2> b
(c) (a+b)/2= a
(d) (a+b)/2 > a

Q2. What should be subtracted from (-5)/( 3 ) to get-7 ?
3/17
16/3
5/7
17/3

Q3. Which of the following is the product of ((-7)/8) and 2/21?
12
(-63)/16
(-16)/147
(-1)/12

Q4. Which of the following property will be used to compute((-7)/8) x 2/21 + ((-7)/8) x (-5)/21? Associative property
Commutative property
Distributive Property
Closure property

Q5. The standard form of a linear equation in one variable x is
(a) ax + b = 0
(b) ax² + bx + c = 0
(c) ax³ + bx² + cx + d = 0
(d) ax4 + bx³ + cx² + dx + e = 0.

Q6.The difference between two whole numbers is 70. The ratio of the two numbers is 2: 3. The two numbers are: 60 and 10
28 and 42
110 and 40
100 and 30

Q7. In the equation 3x = 4-x, transposing -x to LHS we get
3x - x = 4
3x + x = 4
-3x + x = 4
-3x - x = 4
Q8. The one’s digit of the cube of the number 343 is 3 9 7 6 Q9. If a number is doubled then which of the following is a correct statement?
Its cube is two times the cube of the given number.
Its cube is three times the cube of the given number.
Its cube is six times the cube of the given number.
Its cube is eight times the cube of the given number.

Q10. Which of the following is the cube root of 27000?
30
300
3000
3


Part – B ( Subjective)
Q1. (i) Find three rational number between and (1x 3 ) (ii)Evaluate using suitable properties. (-2)/( 3 )×5/7+1/6+( 4)/7×((-2)/3) (iii) Repesent (-6)/5 on the number line.

Q2. The volume of a tank of water is 3375m3. What is the shape of tank cubical or cuboidal?

Q3. You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root?

Q4. (i)The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. (ii) Verify x=8 is the solution of equation: 5(x -7)+4=2x-7​

Answer 1

Step-by-step explanation:

1). (c) (a+b)/2= a

2). 16/3

3).(-16)/147

4). Commutative property

5). (c) ax³ + bx² + cx + d = 0

6). 110 and 40

7). 3x + x = 4

8). Its cube is six times the cube of the given number.

9). The cube of a two digit number may be a three digit number.

10). 300

Answer 2

Answer:

Refer to the attachment

hope it will help you a lot

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