Class 5 Maths - Measurement of Angles - Test 02

Q1) In the figure below, YTVZ is parallelogram, ∠ZVW is  1/3 of ∠UVW. Find ∠ZVW.

Ans:____________º

Answer
50

Q2) In the figure below, ABCD is a rectangle of area 48 cm². Find the area of the shaded triangle CED. 

Ans:____________cm²

Answer

24

Q3) In the figure, ABCD is a rectangle. Find ∠EAC.

Ans:____________º

Answer
28

Q4) Find the area of the unshaded part in the figure shown below.

Ans:____________

Answer

The area of the unshaded part is 160 cm².

Q5) The figure below is made up of a parallelogram ABCE and a triangle CDE. ∠ABC = 65º and the ratio of ∠m to ∠n is 3 : 4. Find

(a) ∠m,
(b) ∠p.

Ans:

(a)_____________
(b)_____________

Answer
(a) ∠m = 18º
(b) ∠p = 89º

Q6) ABCD is a square. X and Y are the mid-points of the square. Find the area of the shaded part of the figure.

Ans:____________cm²

Answer

100

Q7) In the figure below, ABCD is a rhombus. ∠FDE = 65º. Find ∠BCD.

Ans:____________º

Answer
115

Q8) In the figure, AOB is a straight line. EO is perpendicular to OC and ∠AOC = 162º. Find ∠AOE.

Ans:____________º

Answer
72

Q9) In the figure below, PQRU is a piece of rectangular paper folded along ST. Given that ∠USR = 144º. Find ∠a.

Ans:_____________º

Answer
18

Q10) The figure below is not drawn to scale. ABCD is a rectangle. AD = 12 cm and DC = 20 cm. AE = EB. Find the area of the shaded parts.

Ans:____________

Answer

The area of the shaded parts is 150 cm².

Q11) Find the area of the shaded triangle ABC.

Ans:____________

Answer

The area of the shaded  triangle is 56 cm².

Q12) Rectangle ABCD measures 12 cm by 8 cm. Find the area of the shaded triangle.

Ans:____________cm²

 Answer

48

Q13) The length of a rectangular pond is 14m and its breadth is 7m. Fatimah wants to build a running path around the pond. The width of the path is 12​m. What is the area of the running path?

Ans: ____________

Answer

The area of the running path is 22 m².

Q14) The figure below is not drawn to scale. ABCD is a trapezium, BEFG is a parallelogram and BCG is a triangle. Given ∠CBG = 38º and ∠CFE = 102º.

Find

(a) ∠BCG,
(b) ∠ABC.


Ans:

(a)____________
(b)____________

Answer
(a) ∠BCG = 64º
(b) ∠ABC = 116º

Q15) The figure below is not drawn to scale. ABCD is a trapezium and CDEF is a parallelogram. Find ∠BCF.

Ans: _______________
Answer
127º

Q16) The figure is made up of 2 squares, ABCD and CEFG. The area of ABCD is 196 m². The length of FH and AB are in the ratio of 4 : 7. What is the area of the triangle BGH?

Ans: ______________
Answer
The area of triangle BGH is 204 m².

Q17) The following figure is made up of 4 straight lines, AO, BO, CO and DO. Given that ∠BOC is 5/6​  of ∠COD and ∠AOD is 1.25 times of ∠AOB. Find ∠COD.

Ans: _____________
Answer
108º

Q18) In the figure, not drawn to scale, ABC is a straight line. The ratio of ∠a to ∠b is 9 : 5. The ratio of ∠a to ∠c is 3 : 2. Find all the uknown angles, ∠a, ∠b and ∠c.

Ans:

∠a: ______________
∠b: ______________
∠c: ______________
Answer
∠a = 81º
∠b = 45º
∠c = 108º 

Q19) In the figure below, ABCD is a rhombus. Find ∠BAD.

Ans: ____________º
Answer
96

Q20) The figure below is made up of 2 squares, ABCD and BEFG. The area of BEFG is 64 cm² and the area of ABCD is 4 cm². Point X is the midpoint of BE. Find the area of triangle AFX.

Ans: _____________

Answer

24 cm²