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Worksheets

grade 6

Total questions: 24

Worksheet time: 24mins

Name
Class
Date
1.

 (1) ( −1)12 + (−1)13 = ..........\left(1\right)\ \left(\ -1\right)^{12}\ +\ \left(-1\right)^{13}\ =\ ..........  

a)

0

b)

1

c)

2

d)

 −1-1  

2.

 (2) 5 × 52 = ..........\left(2\right)\ 5\ \times\ 5^2\ =\ ..........  

a)

 25225^2  

b)

 25325^3  

c)

 525^2  

d)

 535^3  

3.

 (3) If x −5 =7 , x ∈ N , then x = ........\left(3\right)\ If\ x\ -5\ =7\ ,\ x\ \in\ N\ ,\ then\ x\ =\ ........  

a)

2

b)

12

c)

 −12-12  

d)

35

4.

4) When tossing a dice once, then the propability of getting a number less than 1 = ................

a)

ϕ\phi

b)

0

c)

1

d)

16\frac{1}{6}

5.

 5) A circle,its circumferenceis 44cm., then the length of its raduis=.........cm.(π = 227)5)\ A\ circle,its\ circumferenceis\ 44cm.,\ then\ the\ length\ of\ its\ raduis=.........cm.\left(\pi\ =\ \frac{22}{7}\right)  

a)

22

b)

11

c)

7

d)

14

6.

 (6) If 2 x = 6 ,  then 4 x = ..........\left(6\right)\ If\ 2\ x\ =\ 6\ ,\ \ then\ 4\ x\ =\ ..........  

a)

3

b)

6

c)

12

d)

16

7.

 (7) If x + 2 < 2 , then  x ∈........\left(7\right)\ If\ x\ +\ 2\ <\ 2\ ,\ then\ \ x\ \in........  

a)

 NN  

b)

 ϕ\phi  

c)

 Z+Z^+  

d)

 Z−Z^-  

8.

8) A box contains 10 cards numbered from 1 to 10, one card is selected at random, then the probability of getting a number divisible by 5 = ...........

a)

12\frac{1}{2}

b)

15\frac{1}{5}

c)

310\frac{3}{10}

d)

25\frac{2}{5}

9.

 (9) 92 ........ (−3)4\left(9\right)\ 9^{2\ }........\ \left(-3\right)^4  

a)

>

b)

<

c)

=

d)

otherwise

10.

 (10) (−7) ............ (−∣−5∣)\left(10\right)\ \left(-7\right)\ ............\ \left(-\left|-5\right|\right)  

a)

<

b)

=

c)

>

d)

otherwise

11.

 11) The number which satisfies the inequality : x + 4 > 2 is ............... 

a)

-1

b)

-2

c)

-3

d)

-4

12.

 (12) Ifϕ is empty set , then P (ϕ) = ........\left(12\right)\ If\phi\ is\ empty\ set\ ,\ then\ P\ \left(\phi\right)\ =\ ........  

a)

0

b)

1

c)

2

d)

0.5

13.

 (13) (−1)2 × 23 = .............\left(13\right)\ \left(-1\right)^2\ \times\ 2^3\ =\ .............  

a)

 252^5  

b)

8

c)

-8

d)

 −25-2^5  

14.

14) 2 x = 10 , then x + 2 = ........

a)

7

b)

3

c)

5

d)

6

15.

 (15) 26 × 24 = ........\left(15\right)\ 2^6\ \times\ 2^4\ =\ ........  

a)

 222^2  

b)

 2122^{12}  

c)

 2102^{10}  

d)

 2242^{24}  

16.

 16) Ifthe raduis length of acircle is 10cm. ,then its surface area=..........cm2 (Given that  : π = 3.14 )16)\ Ifthe\ raduis\ length\ of\ acircle\ is\ 10cm.\ ,then\ its\ surface\ area=..........cm^2\ \left(Given\ that\ \ :\ \pi\ =\ 3.14\ \right)  

a)

3.14

b)

31.4

c)

314

d)

3140

17.

 (17) All the following numbers satisfy the ineuality : x > −3 except ...........\left(17\right)\ All\ the\ following\ numbers\ satisfy\ the\ ineuality\ :\ x\ >\ -3\ except\ ...........  

a)

Zero

b)

 −1-1  

c)

 −2-2  

d)

 −3-3  

18.

18) The measure of the angle for the circular sector of half of a circle is ...........

a)

90°90\degree

b)

120°120\degree

c)

180°180\degree

d)

360°360\degree

19.

If x - 2 = 3 then x = .............

a)

−5-5

b)

−1-1

c)

11

d)

5

20.

When tossing a die once, then the probability of getting a number divisible by 5 equals .............

a)

0

b)

16\frac{1}{6}

c)

56\frac{5}{6}

d)

1

21.

 The equation : x2+ 3 =4 is of the ........ deg⁡ree.The\ equation\ :\ x^2+\ 3\ =4\ is\ of\ the\ ........\ \deg ree.  

a)

first

b)

second

c)

third

d)

fourth

22.

The number which satisfies the inequality: x > -2 is ......

a)

−1-1

b)

−4-4

c)

−3-3

d)

−2-2

23.

 A circle , its raduis length is 4 cm. , then its area = ........π cm2A\ circle\ ,\ its\ raduis\ length\ is\ 4\ cm.\ ,\ then\ its\ area\ =\ ........\pi\ cm^2 

a)

8

b)

16

c)

64

d)

2 r

24.

 If −3 x < 30 , then x ........ (−10)If\ -3\ x\ <\ 30\ ,\ then\ x\ ........\ \left(-10\right)  

a)

>

b)

<

c)

=

d)

 ≤\le