Math Test For 8 Grade

The test is according to the Bulgarian educational system.

1. Evaluate the expression 15.987 + 82.713
94.693      98.700      89.040      97.713

2. The difference 9 - 9/10 is:

8

9 10

0

9

9 10

8

1 10

3. Evaluate the expression 5.10⁴ + 4.10³ + 7.10 + 1
5471      54071      54701      50471     

4. The number 3.45 is equal to:

3

9 20

345 10

34

1 2

34

5 10

5. Evaluate the expression

-25⋅63 (-2)7⋅(-3)2

6     -6     8     -8    

6. 60% from 60 is:
3.6      60 3/5      36      6     

7. The multiplication of 2xy²⋅(-3x²y) is equal to:
6x³y²      -x²y      -xy     -6x³y³

8. 3x² - 3x(x - 1) - x(3 - x) is equal to:
x² - 6x      x²      -x²      -x² - 6x     
9. When you remove the brackets (1 + 2a)³ you will get:
1 + 2a + 4a² + 8a³    1 + 6a + 12a² + 8a³    1 + 6a + 6a² + 8a³    1 + 6a + 6a² + 2a³   

10. The biggest number that is a decision of 3(2 + x) ≥ 2(3x + 4) is:
-1      0      1      there is not such a decision     


11. A car consumption is 7.5 litres per 100 km. If the petrol tank of the car can hold 42 litres how many km the car can go?
315 km.      600 km.      560 km.      178 km.     

12. If the expense for producing a goods is $68, what will be the price so the profit of the producer to be 15% from the price:
$78.20      $80      $83      $125.80     


13. Every side of a square with surface 36 cm² is separated on 3 equal parts. From the square are removed the black parts. What is the surface of the white part?

20 cm²      16 cm²      8 cm²      28 cm²     


14. How many square cm is the surface of a rhombus with diagonals 5 cm. and 8 cm? 10 cm²      20 cm²      30 cm²      40 cm²     


15. Angle α is equal to:

40°      60°      80°      100°     


16. The line that cross AC(in point M) and BC is perpendicular to BC and cross BC in the mid point If the angle BAC = 70°, then the angle ABM = ?

80°      70°      60°      50°     


17. In the diagram ABCD is a parallelogram and AB=BM=MC. What is the measure of AMD ?

90°      60°      120°      100°     


18. In the diagram ABCD is a parallelogram. If CD = 7 cm. what is the length of AM ?

7 cm      3.5 cm      14 cm      10.5 cm     


19. In the triangle ABC the height CH = 1.5 cm., the angle ACB = 90° and ABC = 75°. What is the measure of AB ?

3 cm      4,5 cm      6 cm      9 cm     


20. ABCD is a square and MB = CN, the angle NBC = 35°. What is the measure of AMB:

55°      60°      65°      70°