Class 6 Maths - geometry - Set 01

Q1) The figure is not drawn to scale, ABCD is a trapezium and CDE is a straight line. Find angle X and Y.

Ans: ∠  X = _______________

         ∠  Y = ______________

Answer
∠  X is 62^o and ∠  Y is 118^o.

Q2) In the diagram below (not drawn to scale), ABCD is a parallelogram. ODC is an isoceles triangle in which OD = OC. Angle ADO = 24^o. 
Find angle DOC.

Ans: ______________^o
Answer
Angle DOC is 52^o.

Q3) The figure below is not drawn to scale. The breadth of the rectangle is 3/5​  its length. Find the area of the shaded portion.

Ans: ___________________ cm²
Answer

The area of the shaded portion is 87 cm²

 Q4) The figure shows a triangle drawn inside a square of side 60 cm. The ratio of LP to PO is 7 : 3. Find the area of the shaded triangle.

Ans: _______________ cm²
Answer
The area of the shaded triangle is 1260 cm² 

Q5) In the figure below, ABC is an isoceles triangle and BCD is a straight line. Find ∠ EFC.

Ans: _______________

Answer

∠EFC  is 45°

Q6) The figure below is made up of 5 identical squares A, B, C, D and E and a rectangle X. The area of rectangle X is 114 cm². Find the area of square A.

Ans: ______________

Answer

The area of the square A is 19cm². 

Q7) A square piece of paper is folded at corner A as shown below. Find ∠ ABC.

Ans: _________________

Answer

Angle ABC is 130° .

Q8) The volume of a wooden cube is 343 cm³. If a small cube is cut off from it as shown in the figure below, the remaining volume is 279 cm³. Find the area of the shaded side.

Ans: ________________

Answer

The area of the shaded side is 33 cm².

Q9) The diagrams below show 4 triangles, A, B, C and D, formed in the square grid. Which triangle is an isoceles triangle?

Ans: ________________

Answer

Triangle B

Q10) The figure below is not drawn to scale. QT is 24 cm long. UT = RV. Find the shaded area.

Ans: ____________ cm²
Answer
99 cm²