10th Class Mathematics Test Unit 3- Variations

Unit 3 – Variations

Quiz

 

1. What does the term "variation" refer to in mathematics?
   1.   Constant values
   2.   Relationship between two quantities
   3.   Random changes
   4.   Difference between two numbers
2. If y∝xy \propto xy∝x, then the relationship between yyy and xxx is:
   1.   Direct variation
   2.   Inverse variation
   3.   Joint variation
   4.   None of the above
3. In a direct variation, y=kxy = kxy=kx, the constant kkk is called:
   1.   Coefficient
   2.   Slope
   3.   Constant of proportionality
   4.   Variable
4. If y∝1/xy \propto 1/xy∝1/x, the variation is:
   1.   Direct variation
   2.   Inverse variation
   3.   Joint variation
   4.   Combined variation
5. • If xxx varies directly as yyy, and x=10x = 10x=10 when y=2y = 2y=2, find xxx when y=5y = 5y=5.
   1.   20
   2.   25
   3.   30
   4.   15
6. • If x∝yx \propto yx∝y and x=4x = 4x=4 when y=8y = 8y=8, the value of yyy when x=6x = 6x=6 is:
   1.   12
   2.   16
   3.   10
   4.   14
7. For inverse variation, if x⋅y=kx \cdot y = kx⋅y=k, and x=4,y=8x = 4, y = 8x=4,y=8, find kkk.
   1.   16
   2.   32
   3.   12
   4.   8
8. If x∝y2x \propto y^2x∝y2, the variation is called:
   1.   Direct variation
   2.   Inverse variation
   3.   Joint variation
   4.   Quadratic variation
9. • If zzz varies jointly as xxx and yyy, and z=12z = 12z=12 when x=2x = 2x=2 and y=3y = 3y=3, find kkk.
   1.   1
   2.   2
   3.   3
   4.   4
10. • If x∝yx \propto \sqrt{y}x∝y, and x=4x = 4x=4 when y=16y = 16y=16, find xxx when y=25y = 25y=25.
    1.   5
    2.   6
    3.   8
    4.   10