The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?
(1 Point)

a) 84

b) 21

c) 42

d) 32
7Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;
(1 Point)

a) x + 3x = 66

b) x + 3x + 5 = 66

c) 4x + 15 = 66

d) 4x + 10 = 66
8Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.
(1 Point)

a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solution

b) Both equations have solutions which are rational numbers

c) The first equation is called a Negative Linear Equation as it has a negative solution

d) None of the statements a, b or c are True
9Please see the Figure A, and choose the correct
statement that matches the figure from the
options given below.
(1 Point)

a) The above figure is a Polygon with 5 sides

b) The above figure is a Concave Polygon

c) The above figure is not a Polygon

d) The above figure is a Regular Pentagon
10The sum of measures of the exterior angles of any polygon is …
(1 Point)

a) 180 degrees

b) 360 degrees

c) ( n – 2 ) x 180 degrees

d) ( n – 2 ) x 360 degrees
11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
(1 Point)

a) Is a Square

b) Is a Rhombus

c) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonals

d) None of the above statements is correct
12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
(1 Point)

a) That the diagonals remain equal

b) That the diagonals continue to bisect the angles at the vertices equally

c) The lengths of the diagonals change

d) The diagonals are now bisecting each other in 4 equal parts
13Which statement is True for the following two Figures A and B, given below
(1 Point)


a) Figure A is a Rhombus and Figure B is a Kite

b) Figure A and B are both Rhombus

c) Figure A and B are both Kites

d) Figure A is a Kite and Figure B is a Rhombus
14Which statement out of the four options below, is True?
(1 Point)

a) All Rectangles are Squares

b) All Rhombuses are Parallelograms

c) All Squares are Concave Polygons

d) All Convex Polygons have diagonals outside them
15
(1 Point)




16If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
(1 Point)

a) 156

b) 15600

c) 15.6

d) 1.56
1712.00001 ÷ 0.600001 is closest to ……..
(1 Point)

a) 0.02

b) 2

c) 20

d) 200
18Complete:
(1 Point)




19The equation : 12 x + 16 = 20 is the same as ……
(1 Point)

a) 12 x + 8 = 12

b) 12 x = 20 + 16

c) 12 x – 16 = 20 – 16

d) 12 x – 20 = 16
2020. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
(1 Point)




21Which number will give us a quotient of - 4, if we divide - 24 by ……..
(1 Point)

a) 4

b) - 6

c) - 4

d) 6
22If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
(1 Point)

a) – 3

b) 3

c) – 6

d) 6
23The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10

Now choose the best solution from the below options.
(1 Point)

a) Only Rohit got the correct answer

b) Both Rohit and Mohit got the correct answer

c) Rohit, Mohit and Rakesh all got the correct answer

d) Rohit, Mohit and Allen all got the correct answer
24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
(1 Point)

a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circle

b) Binu has walked more than Abhay, as he has walked more circles than Abhay

c) Both of them have covered the same distance

d) With the information given above, we cannot say who walked more
25Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
(1 Point)

a) +

b) –

c) x

d) ÷

Step-by-step explanation:

on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think

To solve the above, the solutions are given below.

1. b) 21

7. b) x + 3x + 5 = 66

8. b) Both equations have solutions which are rational numbers

9. a) The above figure is a Polygon with 5 sides

10. b) 360 degrees

11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …

a) Is a Square

12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..

b) That the diagonals continue to bisect the angles at the vertices equally

13. Which statement is True for the following two Figures A and B, given below

b) Figure A and B are both Rhombus

14Which statement out of the four options below, is True?

b) All Rhombuses are Parallelograms

16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?

b) 15600

17. 12.00001 ÷ 0.600001 is closest to ……..

c) 20

19. The equation : 12 x + 16 = 20 is the same as ……

a) 12 x + 8 = 12

20. Find the value of a quarter of the angle QRT

which is ‘x’ if angle PRS is 2x as shown in the

figure below. Consider Triangle PRQ and Triangle

RST to be equilateral triangles of different sizes.

80°

21. Which number will give us a quotient of - 4, if we divide - 24 by ……..

d) 6

22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….

b) 3

23. The teacher asked the class to divide a given number by 24

- Rohit divided the number by 24 and got the correct answer 20

- Mohit divided the number by 6 and got an answer which he again divided by 4 and

obtained the final answer

- Rakesh divided the number by 2.4 and then divided the answer again by 10

- Allen divided the number by 2.4 and then multiplied the answer obtained by 10

Now choose the best solution from the below options.

a) Only Rohit got the correct answer

24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................

c) Both of them have covered the same distance

25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number

c) x

Therefore, the answers are as given above.

learn more about factorization from here: https://brainly.com/question/25829061

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