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Worksheets

Geometry and Algebra

Total questions: 13

Worksheet time: 30mins

Name
Class
Date
1.

 815+715×23\frac{8}{15}+\frac{7}{15}\times\frac{2}{3}  is equal to

a)

 23\frac{2}{3}  

b)

 3845\frac{38}{45}  

c)

 2215\frac{22}{15}  

2.

 (3 +5)214=\left(3\ +\sqrt{5}\right)^2-14=  

a)

 9+59+\sqrt{5}  

b)

 656\sqrt{5}  

c)

0

3.

 2x2+7x4=2x^2+7x-4=  

a)

(2x-1)(x+4)

b)

(2x+1)(x-4)

c)

(2x+2)(x-2)

4.

The natural numbers, solutions of 3x1<83x-1<8    are…

a)

1 ; 2 ; 3

b)

0 ; 1 ; 2 ; 3

c)

0 ; 1 ; 2

5.

The table is a proportionality table, then x =

a)

10

b)

35

c)

1.6

6.

The price of an article increases by 8% and becomes 1 350 LL. The original price of this article is…

a)

1458 L.L.

b)

1242 L.L.

c)

1250 L.L.

7.

The original price of an article is 30 000 LL, and its price after the discount is 27 600 LL. The percentage of discount is…

a)

10 %

b)

18 %

c)

8 %

8.

In an orthonormal system, the two lines with equations: y =2x+3 and 2y + x =1 are…

a)

Parallel

b)

Perpendicular

c)

Intersecting at the point (1; 5)

9.

  OAB is a triangle. The points C and F are so that:
 OA+OB =OC\overrightarrow{OA}+\overrightarrow{OB}\ =\overrightarrow{OC}  and  AF =OC.\overrightarrow{AF}\ =\overrightarrow{OC}.  
 Therefore:

a)

B is the midpoint of [CF]  .

b)

C is the midpoint of [BF].

c)

F is the midpoint of [BC]  .

10.

(ME) and (NF) are two parallel lines, then: NFME=\frac{NF}{ME}=   

a)

 ANAM\frac{AN}{AM}  

b)

 AEAF\frac{AE}{AF}  

c)

 ANMN\frac{AN}{MN}  

11.

A triangle ABC is right at A and M is the midpoint of [BC].

If AM = AB = 6 then AC = ……

a)

12

b)

636\sqrt{3}

c)

9

12.

A box contains 30% red balls, 25 % green balls and 135 white balls.

The total number of balls in the box is:

a)

200

b)

250

c)

300

13.

Given the line (d): y = 3x + 1 and a point A (m + 1; m – 2) belongs to (d). Then m =

a)

-3

b)

3

c)

-2