To fill a rectangular tank of area  700m², 140 m³ of water is required. What will be the height of the water level in the tank?

• 
  20 cm
  
  

• 30 cm
  
  

• 40 cm
  
  

• 10 cm

Which one of the following 3D shapes does not have a vertex?

• Prism
  
  

• Cone
  
  

• Sphere
  
  

• Pyramid

In the given figure AB = AC and $\angle$ACD = 105°, then BAC is equal to

• 60°
  
  

• 105°
  
  

• 30°
  
  

• 75°

If centroid of the points(3, 5), (6, y)and (-3, 4) is (x, y), then find the value of x and y.

• x=2,y=$\frac{9}{2}$

• x=$\frac{9}{2}$,y=3

• x=2,y= 3
  
  

• x=3,y=2

5.

In the following figure, PAB is a secant and PT is a tangent to the circle. If PT = 5 cm. and PA= 3, then find the measurement of AB.

• $\frac{5}{3}$cm

• $\frac{16}{3}$cm

• 15 cm

• $\frac{11}{3}$cm

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If $\angle$DAC = 32° and $\angle$AOB = 70°, then $\angle$DBC is equal to

• 88°
  
  

• 38°
  
  

• 24°
  
  

• 32°

If distance between centre to chord is 12 cm and length of chord is 10 cm, then the diameter of circle is

• 26 cm
  
  

• 14 cm
  
  

• 13 cm
  
  

• 30 cm

In the given figure, ABCD is a cyclic quadrilateral. Then, the ordered pair (x,y) is

• (15^o, 25^o)
  
  

• (10^o, 15^o)
  
  

• (15^o, 35^o)
  
  

• (40°, 35°)

The perimeter of a rhombus whose diagonals are 10 cm and 24 cm is
 

• 120 cm
  
  

• 34 cm
  
  

• 68 cm
  
  

• 52 cm

A teacher in grade-VI provided each child with a centimeter grid paper and a pair of scissors. She wanted them to explore how two-dimensional shapes can be folded into three-dimensional objects. Which of the following concepts are the students exploring?

• Reflection
  
  

• Nets
  
  

• Decimals
  
  

• Rotation